Biopython Tutorial and Cookbook

# Biopython Tutorial and Cookbook ### Jeff Chang, Brad Chapman, Iddo Friedberg, Thomas Hamelryck, Michiel de Hoon, Peter Cock, Tiago Antao, Eric Talevich, Bartek Wilczyński ### Last Update – 21 October 2015 (Biopython 1.66)

# Contents

# Chapter 1 Introduction

## 1.1 What is Biopython?

The Biopython Project is an international association of developers of freely available Python (`http://www.python.org`) tools for computational molecular biology. Python is an object oriented, interpreted, flexible language that is becoming increasingly popular for scientific computing. Python is easy to learn, has a very clear syntax and can easily be extended with modules written in C, C++ or FORTRAN.

The Biopython web site (`http://www.biopython.org`) provides an online resource for modules, scripts, and web links for developers of Python-based software for bioinformatics use and research. Basically, the goal of Biopython is to make it as easy as possible to use Python for bioinformatics by creating high-quality, reusable modules and classes. Biopython features include parsers for various Bioinformatics file formats (BLAST, Clustalw, FASTA, Genbank,...), access to online services (NCBI, Expasy,...), interfaces to common and not-so-common programs (Clustalw, DSSP, MSMS...), a standard sequence class, various clustering modules, a KD tree data structure etc. and even documentation.

Basically, we just like to program in Python and want to make it as easy as possible to use Python for bioinformatics by creating high-quality, reusable modules and scripts.

## 1.2 What can I find in the Biopython package

The main Biopython releases have lots of functionality, including:

- The ability to parse bioinformatics files into Python utilizable data structures, including support for the following formats:
  - Blast output – both from standalone and WWW Blast
  - Clustalw
  - FASTA
  - GenBank
  - PubMed and Medline
  - ExPASy files, like Enzyme and Prosite
  - SCOP, including ‘dom’ and ‘lin’ files
  - UniGene
  - SwissProt
- Files in the supported formats can be iterated over record by record or indexed and accessed via a Dictionary interface.
- Code to deal with popular on-line bioinformatics destinations such as:
  - NCBI – Blast, Entrez and PubMed services
  - ExPASy – Swiss-Prot and Prosite entries, as well as Prosite searches
- Interfaces to common bioinformatics programs such as:
  - Standalone Blast from NCBI
  - Clustalw alignment program
  - EMBOSS command line tools
- A standard sequence class that deals with sequences, ids on sequences, and sequence features.
- Tools for performing common operations on sequences, such as translation, transcription and weight calculations.
- Code to perform classification of data using k Nearest Neighbors, Naive Bayes or Support Vector Machines.
- Code for dealing with alignments, including a standard way to create and deal with substitution matrices.
- Code making it easy to split up parallelizable tasks into separate processes.
- GUI-based programs to do basic sequence manipulations, translations, BLASTing, etc.
- Extensive documentation and help with using the modules, including this file, on-line wiki documentation, the web site, and the mailing list.
- Integration with BioSQL, a sequence database schema also supported by the BioPerl and BioJava projects.

We hope this gives you plenty of reasons to download and start using Biopython!

## 1.3 Installing Biopython

All of the installation information for Biopython was separated from this document to make it easier to keep updated.

The short version is go to our downloads page (`http://biopython.org/wiki/Download`), download and install the listed dependencies, then download and install Biopython. Biopython runs on many platforms (Windows, Mac, and on the various flavors of Linux and Unix). For Windows we provide pre-compiled click-and-run installers, while for Unix and other operating systems you must install from source as described in the included README file. This is usually as simple as the standard commands:

    python setup.py build
    python setup.py test
    sudo python setup.py install

(You can in fact skip the build and test, and go straight to the install – but its better to make sure everything seems to be working.)

The longer version of our installation instructions covers installation of Python, Biopython dependencies and Biopython itself. It is available in PDF (`http://biopython.org/DIST/docs/install/Installation.pdf`) and HTML formats (`http://biopython.org/DIST/docs/install/Installation.html`).

## 1.4 Frequently Asked Questions (FAQ)

1. How do I cite Biopython in a scientific publication?
   Please cite our application note [1, Cock et al., 2009] as the main Biopython reference. In addition, please cite any publications from the following list if appropriate, in particular as a reference for specific modules within Biopython (more information can be found on our website):
   - For the official project announcement: [13, Chapman and Chang, 2000];
   - For `Bio.PDB`: [18, Hamelryck and Manderick, 2003];
   - For `Bio.Cluster`: [14, De Hoon et al., 2004];
   - For `Bio.Graphics.GenomeDiagram`: [2, Pritchard et al., 2006];
   - For `Bio.Phylo` and `Bio.Phylo.PAML`: [9, Talevich et al., 2012];
   - For the FASTQ file format as supported in Biopython, BioPerl, BioRuby, BioJava, and EMBOSS: [7, Cock et al., 2010].
2. How should I capitalize “Biopython”? Is “BioPython” OK?
   The correct capitalization is “Biopython”, not “BioPython” (even though that would have matched BioPerl, BioJava and BioRuby).
3. What is going wrong with my print commands?
   This tutorial now uses the Python 3 style print function. As of Biopython 1.62, we support both Python 2 and Python 3. The most obvious language difference is the print statement in Python 2 became a print function in Python 3.

   For example, this will only work under Python 2:

       >>> print "Hello World!"
       Hello World!

   If you try that on Python 3 you’ll get a `SyntaxError`. Under Python 3 you must write:

       >>> print("Hello World!")
       Hello World!

   Surprisingly that will also work on Python 2 – but only for simple examples printing one thing. In general you need to add this magic line to the start of your Python scripts to use the print function under Python 2.6 and 2.7:

       from __future__ import print_function

   If you forget to add this magic import, under Python 2 you’ll see extra brackets produced by trying to use the print function when Python 2 is interpreting it as a print statement and a tuple.

4. How do I find out what version of Biopython I have installed?
   Use this:

         >>> import Bio
         >>> print(Bio.__version__)
         ...

   If the “`import Bio`” line fails, Biopython is not installed. Note that those are double underscores before and after version. If the second line fails, your version is very out of date. If the version string ends with a plus, you don’t have an official release, but a snapshot of the in development code.
5. Where is the latest version of this document?
   If you download a Biopython source code archive, it will include the relevant version in both HTML and PDF formats. The latest published version of this document (updated at each release) is online:
   - `http://biopython.org/DIST/docs/tutorial/Tutorial.html`
   - `http://biopython.org/DIST/docs/tutorial/Tutorial.pdf`
   If you are using the very latest unreleased code from our repository you can find copies of the in-progress tutorial here:
   - `http://biopython.org/DIST/docs/tutorial/Tutorial-dev.html`
   - `http://biopython.org/DIST/docs/tutorial/Tutorial-dev.pdf`
6. What is wrong with my sequence comparisons?
   There was a major change in Biopython 1.65 making the `Seq` and `MutableSeq` classes (and subclasses) use simple string-based comparison (ignoring the alphabet other than if giving a warning), which you can do explicitly with `str(seq1) == str(seq2)`.

   Older versions of Biopython would use instance-based comparison for `Seq` objects which you can do explicitly with `id(seq1) == id(seq2)`.

   If you still need to support old versions of Biopython, use these explicit forms to avoid problems. See Section 3.11.

7. Why is the `Seq` object missing the upper & lower methods described in this Tutorial?
   You need Biopython 1.53 or later. Alternatively, use `str(my_seq).upper()` to get an upper case string. If you need a Seq object, try `Seq(str(my_seq).upper())` but be careful about blindly re-using the same alphabet.
8. Why doesn’t the `Seq` object translation method support the `cds` option described in this Tutorial?
   You need Biopython 1.51 or later.
9. What file formats do `Bio.SeqIO` and `Bio.AlignIO` read and write?
   Check the built in docstrings (`from Bio import SeqIO`, then `help(SeqIO)`), or see `http://biopython.org/wiki/SeqIO` and `http://biopython.org/wiki/AlignIO` on the wiki for the latest listing.
10. Why won’t the `Bio.SeqIO` and `Bio.AlignIO` functions `parse`, `read` and `write` take filenames? They insist on handles!
    You need Biopython 1.54 or later, or just use handles explicitly (see Section 22.1). It is especially important to remember to close output handles explicitly after writing your data.
11. Why won’t the `Bio.SeqIO.write()` and `Bio.AlignIO.write()` functions accept a single record or alignment? They insist on a list or iterator!
    You need Biopython 1.54 or later, or just wrap the item with `[...]` to create a list of one element.
12. Why doesn’t `str(...)` give me the full sequence of a `Seq` object?
    You need Biopython 1.45 or later.
13. Why doesn’t `Bio.Blast` work with the latest plain text NCBI blast output?
    The NCBI keep tweaking the plain text output from the BLAST tools, and keeping our parser up to date is/was an ongoing struggle. If you aren’t using the latest version of Biopython, you could try upgrading. However, we (and the NCBI) recommend you use the XML output instead, which is designed to be read by a computer program.
14. Why doesn’t `Bio.Entrez.parse()` work? The module imports fine but there is no parse function!
    You need Biopython 1.52 or later.
15. Why has my script using `Bio.Entrez.efetch()` stopped working?
    This could be due to NCBI changes in February 2012 introducing EFetch 2.0. First, they changed the default return modes - you probably want to add `retmode="text"` to your call. Second, they are now stricter about how to provide a list of IDs – Biopython 1.59 onwards turns a list into a comma separated string automatically.
16. Why doesn’t `Bio.Blast.NCBIWWW.qblast()` give the same results as the NCBI BLAST website?
    You need to specify the same options – the NCBI often adjust the default settings on the website, and they do not match the QBLAST defaults anymore. Check things like the gap penalties and expectation threshold.
17. Why doesn’t `Bio.Blast.NCBIXML.read()` work? The module imports but there is no read function!
    You need Biopython 1.50 or later. Or, use `next(Bio.Blast.NCBIXML.parse(...))` instead.
18. Why doesn’t my `SeqRecord` object have a `letter_annotations` attribute?
    Per-letter-annotation support was added in Biopython 1.50.
19. Why can’t I slice my `SeqRecord` to get a sub-record?
    You need Biopython 1.50 or later.
20. Why can’t I add `SeqRecord` objects together?
    You need Biopython 1.53 or later.
21. Why doesn’t `Bio.SeqIO.convert()` or `Bio.AlignIO.convert()` work? The modules import fine but there is no convert function!
    You need Biopython 1.52 or later. Alternatively, combine the `parse` and `write` functions as described in this tutorial (see Sections 5.5.2 and 6.2.1).
22. Why doesn’t `Bio.SeqIO.index()` work? The module imports fine but there is no index function!
    You need Biopython 1.52 or later.
23. Why doesn’t `Bio.SeqIO.index_db()` work? The module imports fine but there is no `index_db` function!
    You need Biopython 1.57 or later (and a Python with SQLite3 support).
24. Where is the `MultipleSeqAlignment` object? The `Bio.Align` module imports fine but this class isn’t there!
    You need Biopython 1.54 or later. Alternatively, the older `Bio.Align.Generic.Alignment` class supports some of its functionality, but using this is now discouraged.
25. Why can’t I run command line tools directly from the application wrappers?
    You need Biopython 1.55 or later. Alternatively, use the Python `subprocess` module directly.
26. I looked in a directory for code, but I couldn’t find the code that does something. Where’s it hidden?
    One thing to know is that we put code in `__init__.py` files. If you are not used to looking for code in this file this can be confusing. The reason we do this is to make the imports easier for users. For instance, instead of having to do a “repetitive” import like `from Bio.GenBank import GenBank`, you can just use `from Bio import GenBank`.
27. Why does the code from CVS seem out of date?
    In late September 2009, just after the release of Biopython 1.52, we switched from using CVS to git, a distributed version control system. The old CVS server will remain available as a static and read only backup, but if you want to grab the latest code, you’ll need to use git instead. See our website for more details.
28. Why doesn’t `Bio.Fasta` work?
    We deprecated the `Bio.Fasta` module in Biopython 1.51 (August 2009) and removed it in Biopython 1.55 (August 2010). There is a brief example showing how to convert old code to use `Bio.SeqIO` instead in the DEPRECATED file.

For more general questions, the Python FAQ pages `http://www.python.org/doc/faq/` may be useful.

# Chapter 2 Quick Start – What can you do with Biopython?

This section is designed to get you started quickly with Biopython, and to give a general overview of what is available and how to use it. All of the examples in this section assume that you have some general working knowledge of Python, and that you have successfully installed Biopython on your system. If you think you need to brush up on your Python, the main Python web site provides quite a bit of free documentation to get started with (`http://www.python.org/doc/`).

Since much biological work on the computer involves connecting with databases on the internet, some of the examples will also require a working internet connection in order to run.

Now that that is all out of the way, let’s get into what we can do with Biopython.

## 2.1 General overview of what Biopython provides

As mentioned in the introduction, Biopython is a set of libraries to provide the ability to deal with “things” of interest to biologists working on the computer. In general this means that you will need to have at least some programming experience (in Python, of course!) or at least an interest in learning to program. Biopython’s job is to make your job easier as a programmer by supplying reusable libraries so that you can focus on answering your specific question of interest, instead of focusing on the internals of parsing a particular file format (of course, if you want to help by writing a parser that doesn’t exist and contributing it to Biopython, please go ahead!). So Biopython’s job is to make you happy!

One thing to note about Biopython is that it often provides multiple ways of “doing the same thing.” Things have improved in recent releases, but this can still be frustrating as in Python there should ideally be one right way to do something. However, this can also be a real benefit because it gives you lots of flexibility and control over the libraries. The tutorial helps to show you the common or easy ways to do things so that you can just make things work. To learn more about the alternative possibilities, look in the Cookbook (Chapter 18, this has some cools tricks and tips), the Advanced section (Chapter 20), the built in “docstrings” (via the Python help command, or the API documentation) or ultimately the code itself.

## 2.2 Working with sequences

Disputably (of course!), the central object in bioinformatics is the sequence. Thus, we’ll start with a quick introduction to the Biopython mechanisms for dealing with sequences, the `Seq` object, which we’ll discuss in more detail in Chapter 3.

Most of the time when we think about sequences we have in my mind a string of letters like ‘`AGTACACTGGT`’. You can create such `Seq` object with this sequence as follows - the “`>>>`” represents the Python prompt followed by what you would type in:

    >>> from Bio.Seq import Seq
    >>> my_seq = Seq("AGTACACTGGT")
    >>> my_seq
    Seq('AGTACACTGGT', Alphabet())
    >>> print(my_seq)
    AGTACACTGGT
    >>> my_seq.alphabet
    Alphabet()

What we have here is a sequence object with a generic alphabet - reflecting the fact we have not specified if this is a DNA or protein sequence (okay, a protein with a lot of Alanines, Glycines, Cysteines and Threonines!). We’ll talk more about alphabets in Chapter 3.

In addition to having an alphabet, the `Seq` object differs from the Python string in the methods it supports. You can’t do this with a plain string:

    >>> my_seq
    Seq('AGTACACTGGT', Alphabet())
    >>> my_seq.complement()
    Seq('TCATGTGACCA', Alphabet())
    >>> my_seq.reverse_complement()
    Seq('ACCAGTGTACT', Alphabet())

The next most important class is the `SeqRecord` or Sequence Record. This holds a sequence (as a `Seq` object) with additional annotation including an identifier, name and description. The `Bio.SeqIO` module for reading and writing sequence file formats works with `SeqRecord` objects, which will be introduced below and covered in more detail by Chapter 5.

This covers the basic features and uses of the Biopython sequence class. Now that you’ve got some idea of what it is like to interact with the Biopython libraries, it’s time to delve into the fun, fun world of dealing with biological file formats!

## 2.3 A usage example

Before we jump right into parsers and everything else to do with Biopython, let’s set up an example to motivate everything we do and make life more interesting. After all, if there wasn’t any biology in this tutorial, why would you want you read it?

Since I love plants, I think we’re just going to have to have a plant based example (sorry to all the fans of other organisms out there!). Having just completed a recent trip to our local greenhouse, we’ve suddenly developed an incredible obsession with Lady Slipper Orchids (if you wonder why, have a look at some Lady Slipper Orchids photos on Flickr, or try a Google Image Search).

Of course, orchids are not only beautiful to look at, they are also extremely interesting for people studying evolution and systematics. So let’s suppose we’re thinking about writing a funding proposal to do a molecular study of Lady Slipper evolution, and would like to see what kind of research has already been done and how we can add to that.

After a little bit of reading up we discover that the Lady Slipper Orchids are in the Orchidaceae family and the Cypripedioideae sub-family and are made up of 5 genera: Cypripedium, Paphiopedilum, Phragmipedium, Selenipedium and Mexipedium.

That gives us enough to get started delving for more information. So, let’s look at how the Biopython tools can help us. We’ll start with sequence parsing in Section 2.4, but the orchids will be back later on as well - for example we’ll search PubMed for papers about orchids and extract sequence data from GenBank in Chapter 9, extract data from Swiss-Prot from certain orchid proteins in Chapter 10, and work with ClustalW multiple sequence alignments of orchid proteins in Section 6.4.1.

## 2.4 Parsing sequence file formats

A large part of much bioinformatics work involves dealing with the many types of file formats designed to hold biological data. These files are loaded with interesting biological data, and a special challenge is parsing these files into a format so that you can manipulate them with some kind of programming language. However the task of parsing these files can be frustrated by the fact that the formats can change quite regularly, and that formats may contain small subtleties which can break even the most well designed parsers.

We are now going to briefly introduce the `Bio.SeqIO` module – you can find out more in Chapter 5. We’ll start with an online search for our friends, the lady slipper orchids. To keep this introduction simple, we’re just using the NCBI website by hand. Let’s just take a look through the nucleotide databases at NCBI, using an Entrez online search (`http://www.ncbi.nlm.nih.gov:80/entrez/query.fcgi?db=Nucleotide`) for everything mentioning the text Cypripedioideae (this is the subfamily of lady slipper orchids).

When this tutorial was originally written, this search gave us only 94 hits, which we saved as a FASTA formatted text file and as a GenBank formatted text file (files `ls_orchid.fasta` and `ls_orchid.gbk`, also included with the Biopython source code under `docs/tutorial/examples/`).

If you run the search today, you’ll get hundreds of results! When following the tutorial, if you want to see the same list of genes, just download the two files above or copy them from `docs/examples/` in the Biopython source code. In Section 2.5 we will look at how to do a search like this from within Python.

### 2.4.1 Simple FASTA parsing example

If you open the lady slipper orchids FASTA file `ls_orchid.fasta` in your favourite text editor, you’ll see that the file starts like this:

    >gi|2765658|emb|Z78533.1|CIZ78533 C.irapeanum 5.8S rRNA gene and ITS1 and ITS2 DNA
    CGTAACAAGGTTTCCGTAGGTGAACCTGCGGAAGGATCATTGATGAGACCGTGGAATAAACGATCGAGTG
    AATCCGGAGGACCGGTGTACTCAGCTCACCGGGGGCATTGCTCCCGTGGTGACCCTGATTTGTTGTTGGG
    ...

It contains 94 records, each has a line starting with “`>`” (greater-than symbol) followed by the sequence on one or more lines. Now try this in Python:

    from Bio import SeqIO
    for seq_record in SeqIO.parse("ls_orchid.fasta", "fasta"):
        print(seq_record.id)
        print(repr(seq_record.seq))
        print(len(seq_record))

You should get something like this on your screen:

    gi|2765658|emb|Z78533.1|CIZ78533
    Seq('CGTAACAAGGTTTCCGTAGGTGAACCTGCGGAAGGATCATTGATGAGACCGTGG...CGC', SingleLetterAlphabet())
    740
    ...
    gi|2765564|emb|Z78439.1|PBZ78439
    Seq('CATTGTTGAGATCACATAATAATTGATCGAGTTAATCTGGAGGATCTGTTTACT...GCC', SingleLetterAlphabet())
    592

Notice that the FASTA format does not specify the alphabet, so `Bio.SeqIO` has defaulted to the rather generic `SingleLetterAlphabet()` rather than something DNA specific.

### 2.4.2 Simple GenBank parsing example

Now let’s load the GenBank file `ls_orchid.gbk` instead - notice that the code to do this is almost identical to the snippet used above for the FASTA file - the only difference is we change the filename and the format string:

    from Bio import SeqIO
    for seq_record in SeqIO.parse("ls_orchid.gbk", "genbank"):
        print(seq_record.id)
        print(repr(seq_record.seq))
        print(len(seq_record))

This should give:

    Z78533.1
    Seq('CGTAACAAGGTTTCCGTAGGTGAACCTGCGGAAGGATCATTGATGAGACCGTGG...CGC', IUPACAmbiguousDNA())
    740
    ...
    Z78439.1
    Seq('CATTGTTGAGATCACATAATAATTGATCGAGTTAATCTGGAGGATCTGTTTACT...GCC', IUPACAmbiguousDNA())
    592

This time `Bio.SeqIO` has been able to choose a sensible alphabet, IUPAC Ambiguous DNA. You’ll also notice that a shorter string has been used as the `seq_record.id` in this case.

### 2.4.3 I love parsing – please don’t stop talking about it!

Biopython has a lot of parsers, and each has its own little special niches based on the sequence format it is parsing and all of that. Chapter 5 covers `Bio.SeqIO` in more detail, while Chapter 6 introduces `Bio.AlignIO` for sequence alignments.

While the most popular file formats have parsers integrated into `Bio.SeqIO` and/or `Bio.AlignIO`, for some of the rarer and unloved file formats there is either no parser at all, or an old parser which has not been linked in yet. Please also check the wiki pages `http://biopython.org/wiki/SeqIO` and `http://biopython.org/wiki/AlignIO` for the latest information, or ask on the mailing list. The wiki pages should include an up to date list of supported file types, and some additional examples.

The next place to look for information about specific parsers and how to do cool things with them is in the Cookbook (Chapter 18 of this Tutorial). If you don’t find the information you are looking for, please consider helping out your poor overworked documentors and submitting a cookbook entry about it! (once you figure out how to do it, that is!)

## 2.5 Connecting with biological databases

One of the very common things that you need to do in bioinformatics is extract information from biological databases. It can be quite tedious to access these databases manually, especially if you have a lot of repetitive work to do. Biopython attempts to save you time and energy by making some on-line databases available from Python scripts. Currently, Biopython has code to extract information from the following databases:

- Entrez (and PubMed) from the NCBI – See Chapter 9.
- ExPASy – See Chapter 10.
- SCOP – See the `Bio.SCOP.search()` function.

The code in these modules basically makes it easy to write Python code that interact with the CGI scripts on these pages, so that you can get results in an easy to deal with format. In some cases, the results can be tightly integrated with the Biopython parsers to make it even easier to extract information.

## 2.6 What to do next

Now that you’ve made it this far, you hopefully have a good understanding of the basics of Biopython and are ready to start using it for doing useful work. The best thing to do now is finish reading this tutorial, and then if you want start snooping around in the source code, and looking at the automatically generated documentation.

Once you get a picture of what you want to do, and what libraries in Biopython will do it, you should take a peak at the Cookbook (Chapter 18), which may have example code to do something similar to what you want to do.

If you know what you want to do, but can’t figure out how to do it, please feel free to post questions to the main Biopython list (see `http://biopython.org/wiki/Mailing_lists`). This will not only help us answer your question, it will also allow us to improve the documentation so it can help the next person do what you want to do.

Enjoy the code!

# Chapter 3 Sequence objects

Biological sequences are arguably the central object in Bioinformatics, and in this chapter we’ll introduce the Biopython mechanism for dealing with sequences, the `Seq` object. Chapter 4 will introduce the related `SeqRecord` object, which combines the sequence information with any annotation, used again in Chapter 5 for Sequence Input/Output.

Sequences are essentially strings of letters like `AGTACACTGGT`, which seems very natural since this is the most common way that sequences are seen in biological file formats.

There are two important differences between `Seq` objects and standard Python strings. First of all, they have different methods. Although the `Seq` object supports many of the same methods as a plain string, its `translate()` method differs by doing biological translation, and there are also additional biologically relevant methods like `reverse_complement()`. Secondly, the `Seq` object has an important attribute, `alphabet`, which is an object describing what the individual characters making up the sequence string “mean”, and how they should be interpreted. For example, is `AGTACACTGGT` a DNA sequence, or just a protein sequence that happens to be rich in Alanines, Glycines, Cysteines and Threonines?

## 3.1 Sequences and Alphabets

The alphabet object is perhaps the important thing that makes the `Seq` object more than just a string. The currently available alphabets for Biopython are defined in the `Bio.Alphabet` module. We’ll use the IUPAC alphabets (`http://www.chem.qmw.ac.uk/iupac/`) here to deal with some of our favorite objects: DNA, RNA and Proteins.

`Bio.Alphabet.IUPAC` provides basic definitions for proteins, DNA and RNA, but additionally provides the ability to extend and customize the basic definitions. For instance, for proteins, there is a basic IUPACProtein class, but there is an additional ExtendedIUPACProtein class providing for the additional elements “U” (or “Sec” for selenocysteine) and “O” (or “Pyl” for pyrrolysine), plus the ambiguous symbols “B” (or “Asx” for asparagine or aspartic acid), “Z” (or “Glx” for glutamine or glutamic acid), “J” (or “Xle” for leucine isoleucine) and “X” (or “Xxx” for an unknown amino acid). For DNA you’ve got choices of IUPACUnambiguousDNA, which provides for just the basic letters, IUPACAmbiguousDNA (which provides for ambiguity letters for every possible situation) and ExtendedIUPACDNA, which allows letters for modified bases. Similarly, RNA can be represented by IUPACAmbiguousRNA or IUPACUnambiguousRNA.

The advantages of having an alphabet class are two fold. First, this gives an idea of the type of information the Seq object contains. Secondly, this provides a means of constraining the information, as a means of type checking.

Now that we know what we are dealing with, let’s look at how to utilize this class to do interesting work. You can create an ambiguous sequence with the default generic alphabet like this:

    >>> from Bio.Seq import Seq
    >>> my_seq = Seq("AGTACACTGGT")
    >>> my_seq
    Seq('AGTACACTGGT', Alphabet())
    >>> my_seq.alphabet
    Alphabet()

However, where possible you should specify the alphabet explicitly when creating your sequence objects - in this case an unambiguous DNA alphabet object:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> my_seq = Seq("AGTACACTGGT", IUPAC.unambiguous_dna)
    >>> my_seq
    Seq('AGTACACTGGT', IUPACUnambiguousDNA())
    >>> my_seq.alphabet
    IUPACUnambiguousDNA()

Unless of course, this really is an amino acid sequence:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> my_prot = Seq("AGTACACTGGT", IUPAC.protein)
    >>> my_prot
    Seq('AGTACACTGGT', IUPACProtein())
    >>> my_prot.alphabet
    IUPACProtein()

## 3.2 Sequences act like strings

In many ways, we can deal with Seq objects as if they were normal Python strings, for example getting the length, or iterating over the elements:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> my_seq = Seq("GATCG", IUPAC.unambiguous_dna)
    >>> for index, letter in enumerate(my_seq):
    ...     print("%i %s" % (index, letter))
    0 G
    1 A
    2 T
    3 C
    4 G
    >>> print(len(my_seq))
    5

You can access elements of the sequence in the same way as for strings (but remember, Python counts from zero!):

    >>> print(my_seq[0]) #first letter
    G
    >>> print(my_seq[2]) #third letter
    T
    >>> print(my_seq[-1]) #last letter
    G

The `Seq` object has a `.count()` method, just like a string. Note that this means that like a Python string, this gives a non-overlapping count:

    >>> from Bio.Seq import Seq
    >>> "AAAA".count("AA")
    2
    >>> Seq("AAAA").count("AA")
    2

For some biological uses, you may actually want an overlapping count (i.e. 3 in this trivial example). When searching for single letters, this makes no difference:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> my_seq = Seq('GATCGATGGGCCTATATAGGATCGAAAATCGC', IUPAC.unambiguous_dna)
    >>> len(my_seq)
    32
    >>> my_seq.count("G")
    9
    >>> 100 * float(my_seq.count("G") + my_seq.count("C")) / len(my_seq)
    46.875

While you could use the above snippet of code to calculate a GC%, note that the `Bio.SeqUtils` module has several GC functions already built. For example:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> from Bio.SeqUtils import GC
    >>> my_seq = Seq('GATCGATGGGCCTATATAGGATCGAAAATCGC', IUPAC.unambiguous_dna)
    >>> GC(my_seq)
    46.875

Note that using the `Bio.SeqUtils.GC()` function should automatically cope with mixed case sequences and the ambiguous nucleotide S which means G or C.

Also note that just like a normal Python string, the `Seq` object is in some ways “read-only”. If you need to edit your sequence, for example simulating a point mutation, look at the Section 3.12 below which talks about the `MutableSeq` object.

## 3.3 Slicing a sequence

A more complicated example, let’s get a slice of the sequence:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> my_seq = Seq("GATCGATGGGCCTATATAGGATCGAAAATCGC", IUPAC.unambiguous_dna)
    >>> my_seq[4:12]
    Seq('GATGGGCC', IUPACUnambiguousDNA())

Two things are interesting to note. First, this follows the normal conventions for Python strings. So the first element of the sequence is 0 (which is normal for computer science, but not so normal for biology). When you do a slice the first item is included (i.e. 4 in this case) and the last is excluded (12 in this case), which is the way things work in Python, but of course not necessarily the way everyone in the world would expect. The main goal is to stay consistent with what Python does.

The second thing to notice is that the slice is performed on the sequence data string, but the new object produced is another `Seq` object which retains the alphabet information from the original `Seq` object.

Also like a Python string, you can do slices with a start, stop and stride (the step size, which defaults to one). For example, we can get the first, second and third codon positions of this DNA sequence:

    >>> my_seq[0::3]
    Seq('GCTGTAGTAAG', IUPACUnambiguousDNA())
    >>> my_seq[1::3]
    Seq('AGGCATGCATC', IUPACUnambiguousDNA())
    >>> my_seq[2::3]
    Seq('TAGCTAAGAC', IUPACUnambiguousDNA())

Another stride trick you might have seen with a Python string is the use of a -1 stride to reverse the string. You can do this with a `Seq` object too:

    >>> my_seq[::-1]
    Seq('CGCTAAAAGCTAGGATATATCCGGGTAGCTAG', IUPACUnambiguousDNA())

## 3.4 Turning Seq objects into strings

If you really do just need a plain string, for example to write to a file, or insert into a database, then this is very easy to get:

    >>> str(my_seq)
    'GATCGATGGGCCTATATAGGATCGAAAATCGC'

Since calling `str()` on a `Seq` object returns the full sequence as a string, you often don’t actually have to do this conversion explicitly. Python does this automatically in the print function (and the print statement under Python 2):

    >>> print(my_seq)
    GATCGATGGGCCTATATAGGATCGAAAATCGC

You can also use the `Seq` object directly with a `%s` placeholder when using the Python string formatting or interpolation operator (`%`):

    >>> fasta_format_string = ">Name\n%s\n" % my_seq
    >>> print(fasta_format_string)
    >Name
    GATCGATGGGCCTATATAGGATCGAAAATCGC
    <BLANKLINE>

This line of code constructs a simple FASTA format record (without worrying about line wrapping). Section 4.5 describes a neat way to get a FASTA formatted string from a `SeqRecord` object, while the more general topic of reading and writing FASTA format sequence files is covered in Chapter 5.

    >>> str(my_seq)
    'GATCGATGGGCCTATATAGGATCGAAAATCGC'

## 3.5 Concatenating or adding sequences

Naturally, you can in principle add any two Seq objects together - just like you can with Python strings to concatenate them. However, you can’t add sequences with incompatible alphabets, such as a protein sequence and a DNA sequence:

    >>> from Bio.Alphabet import IUPAC
    >>> from Bio.Seq import Seq
    >>> protein_seq = Seq("EVRNAK", IUPAC.protein)
    >>> dna_seq = Seq("ACGT", IUPAC.unambiguous_dna)
    >>> protein_seq + dna_seq
    Traceback (most recent call last):
    ...
    TypeError: Incompatible alphabets IUPACProtein() and IUPACUnambiguousDNA()

If you really wanted to do this, you’d have to first give both sequences generic alphabets:

    >>> from Bio.Alphabet import generic_alphabet
    >>> protein_seq.alphabet = generic_alphabet
    >>> dna_seq.alphabet = generic_alphabet
    >>> protein_seq + dna_seq
    Seq('EVRNAKACGT', Alphabet())

Here is an example of adding a generic nucleotide sequence to an unambiguous IUPAC DNA sequence, resulting in an ambiguous nucleotide sequence:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import generic_nucleotide
    >>> from Bio.Alphabet import IUPAC
    >>> nuc_seq = Seq("GATCGATGC", generic_nucleotide)
    >>> dna_seq = Seq("ACGT", IUPAC.unambiguous_dna)
    >>> nuc_seq
    Seq('GATCGATGC', NucleotideAlphabet())
    >>> dna_seq
    Seq('ACGT', IUPACUnambiguousDNA())
    >>> nuc_seq + dna_seq
    Seq('GATCGATGCACGT', NucleotideAlphabet())

You may often have many sequences to add together, which can be done with a for loop like this:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import generic_dna
    >>> list_of_seqs = [Seq("ACGT", generic_dna), Seq("AACC", generic_dna), Seq("GGTT", generic_dna)]
    >>> concatenated = Seq("", generic_dna)
    >>> for s in list_of_seqs:
    ...      concatenated += s
    ...
    >>> concatenated
    Seq('ACGTAACCGGTT', DNAAlphabet())

Or, a more elegant approach is to the use built in `sum` function with its optional start value argument (which otherwise defaults to zero):

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import generic_dna
    >>> list_of_seqs = [Seq("ACGT", generic_dna), Seq("AACC", generic_dna), Seq("GGTT", generic_dna)]
    >>> sum(list_of_seqs, Seq("", generic_dna))
    Seq('ACGTAACCGGTT', DNAAlphabet())

Unlike the Python string, the Biopython `Seq` does not (currently) have a `.join` method.

## 3.6 Changing case

Python strings have very useful `upper` and `lower` methods for changing the case. As of Biopython 1.53, the `Seq` object gained similar methods which are alphabet aware. For example,

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import generic_dna
    >>> dna_seq = Seq("acgtACGT", generic_dna)
    >>> dna_seq
    Seq('acgtACGT', DNAAlphabet())
    >>> dna_seq.upper()
    Seq('ACGTACGT', DNAAlphabet())
    >>> dna_seq.lower()
    Seq('acgtacgt', DNAAlphabet())

These are useful for doing case insensitive matching:

    >>> "GTAC" in dna_seq
    False
    >>> "GTAC" in dna_seq.upper()
    True

Note that strictly speaking the IUPAC alphabets are for upper case sequences only, thus:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> dna_seq = Seq("ACGT", IUPAC.unambiguous_dna)
    >>> dna_seq
    Seq('ACGT', IUPACUnambiguousDNA())
    >>> dna_seq.lower()
    Seq('acgt', DNAAlphabet())

## 3.7 Nucleotide sequences and (reverse) complements

For nucleotide sequences, you can easily obtain the complement or reverse complement of a `Seq` object using its built-in methods:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> my_seq = Seq("GATCGATGGGCCTATATAGGATCGAAAATCGC", IUPAC.unambiguous_dna)
    >>> my_seq
    Seq('GATCGATGGGCCTATATAGGATCGAAAATCGC', IUPACUnambiguousDNA())
    >>> my_seq.complement()
    Seq('CTAGCTACCCGGATATATCCTAGCTTTTAGCG', IUPACUnambiguousDNA())
    >>> my_seq.reverse_complement()
    Seq('GCGATTTTCGATCCTATATAGGCCCATCGATC', IUPACUnambiguousDNA())

As mentioned earlier, an easy way to just reverse a `Seq` object (or a Python string) is slice it with -1 step:

    >>> my_seq[::-1]
    Seq('CGCTAAAAGCTAGGATATATCCGGGTAGCTAG', IUPACUnambiguousDNA())

In all of these operations, the alphabet property is maintained. This is very useful in case you accidentally end up trying to do something weird like take the (reverse)complement of a protein sequence:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> protein_seq = Seq("EVRNAK", IUPAC.protein)
    >>> protein_seq.complement()
    Traceback (most recent call last):
    ...
    ValueError: Proteins do not have complements!

The example in Section 5.5.3 combines the `Seq` object’s reverse complement method with `Bio.SeqIO` for sequence input/output.

## 3.8 Transcription

Before talking about transcription, I want to try to clarify the strand issue. Consider the following (made up) stretch of double stranded DNA which encodes a short peptide:

| DNA coding strand (aka Crick strand, strand +1) |
5’ | `ATGGCCATTGTAATGGGCCGCTGAAAGGGTGCCCGATAG` | 3’
| `|||||||||||||||||||||||||||||||||||||||` |
3’ | `TACCGGTAACATTACCCGGCGACTTTCCCACGGGCTATC` | 5’
| DNA template strand (aka Watson strand, strand −1) |
| Transcription |
| ↓ |
5’ | `AUGGCCAUUGUAAUGGGCCGCUGAAAGGGUGCCCGAUAG` | 3’
| Single stranded messenger RNA |

The actual biological transcription process works from the template strand, doing a reverse complement (TCAG → CUGA) to give the mRNA. However, in Biopython and bioinformatics in general, we typically work directly with the coding strand because this means we can get the mRNA sequence just by switching T → U.

Now let’s actually get down to doing a transcription in Biopython. First, let’s create `Seq` objects for the coding and template DNA strands:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> coding_dna = Seq("ATGGCCATTGTAATGGGCCGCTGAAAGGGTGCCCGATAG", IUPAC.unambiguous_dna)
    >>> coding_dna
    Seq('ATGGCCATTGTAATGGGCCGCTGAAAGGGTGCCCGATAG', IUPACUnambiguousDNA())
    >>> template_dna = coding_dna.reverse_complement()
    >>> template_dna
    Seq('CTATCGGGCACCCTTTCAGCGGCCCATTACAATGGCCAT', IUPACUnambiguousDNA())

These should match the figure above - remember by convention nucleotide sequences are normally read from the 5’ to 3’ direction, while in the figure the template strand is shown reversed.

Now let’s transcribe the coding strand into the corresponding mRNA, using the `Seq` object’s built in `transcribe` method:

    >>> coding_dna
    Seq('ATGGCCATTGTAATGGGCCGCTGAAAGGGTGCCCGATAG', IUPACUnambiguousDNA())
    >>> messenger_rna = coding_dna.transcribe()
    >>> messenger_rna
    Seq('AUGGCCAUUGUAAUGGGCCGCUGAAAGGGUGCCCGAUAG', IUPACUnambiguousRNA())

As you can see, all this does is switch T → U, and adjust the alphabet.

If you do want to do a true biological transcription starting with the template strand, then this becomes a two-step process:

    >>> template_dna.reverse_complement().transcribe()
    Seq('AUGGCCAUUGUAAUGGGCCGCUGAAAGGGUGCCCGAUAG', IUPACUnambiguousRNA())

The `Seq` object also includes a back-transcription method for going from the mRNA to the coding strand of the DNA. Again, this is a simple U → T substitution and associated change of alphabet:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> messenger_rna = Seq("AUGGCCAUUGUAAUGGGCCGCUGAAAGGGUGCCCGAUAG", IUPAC.unambiguous_rna)
    >>> messenger_rna
    Seq('AUGGCCAUUGUAAUGGGCCGCUGAAAGGGUGCCCGAUAG', IUPACUnambiguousRNA())
    >>> messenger_rna.back_transcribe()
    Seq('ATGGCCATTGTAATGGGCCGCTGAAAGGGTGCCCGATAG', IUPACUnambiguousDNA())

Note: The `Seq` object’s `transcribe` and `back_transcribe` methods were added in Biopython 1.49. For older releases you would have to use the `Bio.Seq` module’s functions instead, see Section 3.14.

## 3.9 Translation

Sticking with the same example discussed in the transcription section above, now let’s translate this mRNA into the corresponding protein sequence - again taking advantage of one of the `Seq` object’s biological methods:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> messenger_rna = Seq("AUGGCCAUUGUAAUGGGCCGCUGAAAGGGUGCCCGAUAG", IUPAC.unambiguous_rna)
    >>> messenger_rna
    Seq('AUGGCCAUUGUAAUGGGCCGCUGAAAGGGUGCCCGAUAG', IUPACUnambiguousRNA())
    >>> messenger_rna.translate()
    Seq('MAIVMGR*KGAR*', HasStopCodon(IUPACProtein(), '*'))

You can also translate directly from the coding strand DNA sequence:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> coding_dna = Seq("ATGGCCATTGTAATGGGCCGCTGAAAGGGTGCCCGATAG", IUPAC.unambiguous_dna)
    >>> coding_dna
    Seq('ATGGCCATTGTAATGGGCCGCTGAAAGGGTGCCCGATAG', IUPACUnambiguousDNA())
    >>> coding_dna.translate()
    Seq('MAIVMGR*KGAR*', HasStopCodon(IUPACProtein(), '*'))

You should notice in the above protein sequences that in addition to the end stop character, there is an internal stop as well. This was a deliberate choice of example, as it gives an excuse to talk about some optional arguments, including different translation tables (Genetic Codes).

The translation tables available in Biopython are based on those from the NCBI (see the next section of this tutorial). By default, translation will use the standard genetic code (NCBI table id 1). Suppose we are dealing with a mitochondrial sequence. We need to tell the translation function to use the relevant genetic code instead:

    >>> coding_dna.translate(table="Vertebrate Mitochondrial")
    Seq('MAIVMGRWKGAR*', HasStopCodon(IUPACProtein(), '*'))

You can also specify the table using the NCBI table number which is shorter, and often included in the feature annotation of GenBank files:

    >>> coding_dna.translate(table=2)
    Seq('MAIVMGRWKGAR*', HasStopCodon(IUPACProtein(), '*'))

Now, you may want to translate the nucleotides up to the first in frame stop codon, and then stop (as happens in nature):

    >>> coding_dna.translate()
    Seq('MAIVMGR*KGAR*', HasStopCodon(IUPACProtein(), '*'))
    >>> coding_dna.translate(to_stop=True)
    Seq('MAIVMGR', IUPACProtein())
    >>> coding_dna.translate(table=2)
    Seq('MAIVMGRWKGAR*', HasStopCodon(IUPACProtein(), '*'))
    >>> coding_dna.translate(table=2, to_stop=True)
    Seq('MAIVMGRWKGAR', IUPACProtein())

Notice that when you use the `to_stop` argument, the stop codon itself is not translated - and the stop symbol is not included at the end of your protein sequence.

You can even specify the stop symbol if you don’t like the default asterisk:

    >>> coding_dna.translate(table=2, stop_symbol="@")
    Seq('MAIVMGRWKGAR@', HasStopCodon(IUPACProtein(), '@'))

Now, suppose you have a complete coding sequence CDS, which is to say a nucleotide sequence (e.g. mRNA – after any splicing) which is a whole number of codons (i.e. the length is a multiple of three), commences with a start codon, ends with a stop codon, and has no internal in-frame stop codons. In general, given a complete CDS, the default translate method will do what you want (perhaps with the `to_stop` option). However, what if your sequence uses a non-standard start codon? This happens a lot in bacteria – for example the gene yaaX in `E. coli` K12:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import generic_dna
    >>> gene = Seq("GTGAAAAAGATGCAATCTATCGTACTCGCACTTTCCCTGGTTCTGGTCGCTCCCATGGCA" + \
    ...            "GCACAGGCTGCGGAAATTACGTTAGTCCCGTCAGTAAAATTACAGATAGGCGATCGTGAT" + \
    ...            "AATCGTGGCTATTACTGGGATGGAGGTCACTGGCGCGACCACGGCTGGTGGAAACAACAT" + \
    ...            "TATGAATGGCGAGGCAATCGCTGGCACCTACACGGACCGCCGCCACCGCCGCGCCACCAT" + \
    ...            "AAGAAAGCTCCTCATGATCATCACGGCGGTCATGGTCCAGGCAAACATCACCGCTAA",
    ...            generic_dna)
    >>> gene.translate(table="Bacterial")
    Seq('VKKMQSIVLALSLVLVAPMAAQAAEITLVPSVKLQIGDRDNRGYYWDGGHWRDH...HR*',
    HasStopCodon(ExtendedIUPACProtein(), '*')
    >>> gene.translate(table="Bacterial", to_stop=True)
    Seq('VKKMQSIVLALSLVLVAPMAAQAAEITLVPSVKLQIGDRDNRGYYWDGGHWRDH...HHR',
    ExtendedIUPACProtein())

In the bacterial genetic code `GTG` is a valid start codon, and while it does normally encode Valine, if used as a start codon it should be translated as methionine. This happens if you tell Biopython your sequence is a complete CDS:

    >>> gene.translate(table="Bacterial", cds=True)
    Seq('MKKMQSIVLALSLVLVAPMAAQAAEITLVPSVKLQIGDRDNRGYYWDGGHWRDH...HHR',
    ExtendedIUPACProtein())

In addition to telling Biopython to translate an alternative start codon as methionine, using this option also makes sure your sequence really is a valid CDS (you’ll get an exception if not).

The example in Section 18.1.3 combines the `Seq` object’s translate method with `Bio.SeqIO` for sequence input/output.

## 3.10 Translation Tables

In the previous sections we talked about the `Seq` object translation method (and mentioned the equivalent function in the `Bio.Seq` module – see Section 3.14). Internally these use codon table objects derived from the NCBI information at `ftp://ftp.ncbi.nlm.nih.gov/entrez/misc/data/gc.prt`, also shown on `http://www.ncbi.nlm.nih.gov/Taxonomy/Utils/wprintgc.cgi` in a much more readable layout.

As before, let’s just focus on two choices: the Standard translation table, and the translation table for Vertebrate Mitochondrial DNA.

    >>> from Bio.Data import CodonTable
    >>> standard_table = CodonTable.unambiguous_dna_by_name["Standard"]
    >>> mito_table = CodonTable.unambiguous_dna_by_name["Vertebrate Mitochondrial"]

Alternatively, these tables are labeled with ID numbers 1 and 2, respectively:

    >>> from Bio.Data import CodonTable
    >>> standard_table = CodonTable.unambiguous_dna_by_id[1]
    >>> mito_table = CodonTable.unambiguous_dna_by_id[2]

You can compare the actual tables visually by printing them:

    >>> print(standard_table)
    Table 1 Standard, SGC0

      |  T      |  C      |  A      |  G      |
    --+---------+---------+---------+---------+--
    T | TTT F   | TCT S   | TAT Y   | TGT C   | T
    T | TTC F   | TCC S   | TAC Y   | TGC C   | C
    T | TTA L   | TCA S   | TAA Stop| TGA Stop| A
    T | TTG L(s)| TCG S   | TAG Stop| TGG W   | G
    --+---------+---------+---------+---------+--
    C | CTT L   | CCT P   | CAT H   | CGT R   | T
    C | CTC L   | CCC P   | CAC H   | CGC R   | C
    C | CTA L   | CCA P   | CAA Q   | CGA R   | A
    C | CTG L(s)| CCG P   | CAG Q   | CGG R   | G
    --+---------+---------+---------+---------+--
    A | ATT I   | ACT T   | AAT N   | AGT S   | T
    A | ATC I   | ACC T   | AAC N   | AGC S   | C
    A | ATA I   | ACA T   | AAA K   | AGA R   | A
    A | ATG M(s)| ACG T   | AAG K   | AGG R   | G
    --+---------+---------+---------+---------+--
    G | GTT V   | GCT A   | GAT D   | GGT G   | T
    G | GTC V   | GCC A   | GAC D   | GGC G   | C
    G | GTA V   | GCA A   | GAA E   | GGA G   | A
    G | GTG V   | GCG A   | GAG E   | GGG G   | G
    --+---------+---------+---------+---------+--

and:

    >>> print(mito_table)
    Table 2 Vertebrate Mitochondrial, SGC1

      |  T      |  C      |  A      |  G      |
    --+---------+---------+---------+---------+--
    T | TTT F   | TCT S   | TAT Y   | TGT C   | T
    T | TTC F   | TCC S   | TAC Y   | TGC C   | C
    T | TTA L   | TCA S   | TAA Stop| TGA W   | A
    T | TTG L   | TCG S   | TAG Stop| TGG W   | G
    --+---------+---------+---------+---------+--
    C | CTT L   | CCT P   | CAT H   | CGT R   | T
    C | CTC L   | CCC P   | CAC H   | CGC R   | C
    C | CTA L   | CCA P   | CAA Q   | CGA R   | A
    C | CTG L   | CCG P   | CAG Q   | CGG R   | G
    --+---------+---------+---------+---------+--
    A | ATT I(s)| ACT T   | AAT N   | AGT S   | T
    A | ATC I(s)| ACC T   | AAC N   | AGC S   | C
    A | ATA M(s)| ACA T   | AAA K   | AGA Stop| A
    A | ATG M(s)| ACG T   | AAG K   | AGG Stop| G
    --+---------+---------+---------+---------+--
    G | GTT V   | GCT A   | GAT D   | GGT G   | T
    G | GTC V   | GCC A   | GAC D   | GGC G   | C
    G | GTA V   | GCA A   | GAA E   | GGA G   | A
    G | GTG V(s)| GCG A   | GAG E   | GGG G   | G
    --+---------+---------+---------+---------+--

You may find these following properties useful – for example if you are trying to do your own gene finding:

    >>> mito_table.stop_codons
    ['TAA', 'TAG', 'AGA', 'AGG']
    >>> mito_table.start_codons
    ['ATT', 'ATC', 'ATA', 'ATG', 'GTG']
    >>> mito_table.forward_table["ACG"]
    'T'

## 3.11 Comparing Seq objects

Sequence comparison is actually a very complicated topic, and there is no easy way to decide if two sequences are equal. The basic problem is the meaning of the letters in a sequence are context dependent - the letter “A” could be part of a DNA, RNA or protein sequence. Biopython uses alphabet objects as part of each `Seq` object to try to capture this information - so comparing two `Seq` objects could mean considering both the sequence strings and the alphabets.

For example, you might argue that the two DNA `Seq` objects `Seq("ACGT", IUPAC.unambiguous_dna)` and `Seq("ACGT", IUPAC.ambiguous_dna)` should be equal, even though they do have different alphabets. Depending on the context this could be important.

This gets worse – suppose you think `Seq("ACGT", IUPAC.unambiguous_dna)` and `Seq("ACGT")` (i.e. the default generic alphabet) should be equal. Then, logically, `Seq("ACGT", IUPAC.protein)` and `Seq("ACGT")` should also be equal. Now, in logic if A=B and B=C, by transitivity we expect A=C. So for logical consistency we’d require `Seq("ACGT", IUPAC.unambiguous_dna)` and `Seq("ACGT", IUPAC.protein)` to be equal – which most people would agree is just not right. This transitivity also has implications for using `Seq` objects as Python dictionary keys.

Now, in everyday use, your sequences will probably all have the same alphabet, or at least all be the same type of sequence (all DNA, all RNA, or all protein). What you probably want is to just compare the sequences as strings – which you can do explicitly:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> seq1 = Seq("ACGT", IUPAC.unambiguous_dna)
    >>> seq2 = Seq("ACGT", IUPAC.ambiguous_dna)
    >>> str(seq1) == str(seq2)
    True
    >>> str(seq1) == str(seq1)
    True

So, what does Biopython do? Well, as of Biopython 1.65, sequence comparison only looks at the sequence, essentially ignoring the alphabet:

    >>> seq1 == seq2
    True
    >>> seq1 == "ACGT"
    True

As an extension to this, using sequence objects as keys in a Python dictionary is now equivalent to using the sequence as a plain string for the key. See also Section 3.4.

Note if you compare sequences with incompatible alphabets (e.g. DNA vs RNA, or nucleotide versus protein), then you will get a warning but for the comparison itself only the string of letters in the sequence is used:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import generic_dna, generic_protein
    >>> dna_seq = Seq("ACGT", generic_dna)
    >>> prot_seq = Seq(``ACGT'', generic_protein)
    >>> dna_seq == prot_seq
    BiopythonWarning: Incompatible alphabets DNAAlphabet() and ProteinAlphabet()
    True

WARNING: Older versions of Biopython instead used to check if the `Seq` objects were the same object in memory. This is important if you need to support scripts on both old and new versions of Biopython. Here make the comparison explicit by wrapping your sequence objects with either `str(...)` for string based comparison or `id(...)` for object instance based comparison.

## 3.12 MutableSeq objects

Just like the normal Python string, the `Seq` object is “read only”, or in Python terminology, immutable. Apart from wanting the `Seq` object to act like a string, this is also a useful default since in many biological applications you want to ensure you are not changing your sequence data:

    >>> from Bio.Seq import Seq
    >>> from Bio.Alphabet import IUPAC
    >>> my_seq = Seq("GCCATTGTAATGGGCCGCTGAAAGGGTGCCCGA", IUPAC.unambiguous_dna)

Observe what happens if you try to edit the sequence:

    >>> my_seq[5] = "G"
    Traceback (most recent call last):
    ...
    TypeError: 'Seq' object does not support item assignment

However, you can convert it into a mutable sequence (a `MutableSeq` object) and do pretty much anything you want with it:

    >>> mutable_seq = my_seq.tomutable()
    >>> mutable_seq
    MutableSeq('GCCATTGTAATGGGCCGCTGAAAGGGTGCCCGA', IUPACUnambiguousDNA())

Alternatively, you can create a `MutableSeq` object directly from a string:

    >>> from Bio.Seq import MutableSeq
    >>> from Bio.Alphabet import IUPAC
    >>> mutable_seq = MutableSeq("GCCATTGTAATGGGCCGCTGAAAGGGTGCCCGA", IUPAC.unambiguous_dna)

Either way will give you a sequence object which can be changed:

    >>> mutable_seq
    MutableSeq('GCCATTGTAATGGGCCGCTGAAAGGGTGCCCGA', IUPACUnambiguousDNA())
    >>> mutable_seq[5] = "C"
    >>> mutable_seq
    MutableSeq('GCCATCGTAATGGGCCGCTGAAAGGGTGCCCGA', IUPACUnambiguousDNA())
    >>> mutable_seq.remove("T")
    >>> mutable_seq
    MutableSeq('GCCACGTAATGGGCCGCTGAAAGGGTGCCCGA', IUPACUnambiguousDNA())
    >>> mutable_seq.reverse()
    >>> mutable_seq
    MutableSeq('AGCCCGTGGGAAAGTCGCCGGGTAATGCACCG', IUPACUnambiguousDNA())

Do note that unlike the `Seq` object, the `MutableSeq` object’s methods like `reverse_complement()` and `reverse()` act in-situ!

An important technical difference between mutable and immutable objects in Python means that you can’t use a `MutableSeq` object as a dictionary key, but you can use a Python string or a `Seq` object in this way.

Once you have finished editing your a `MutableSeq` object, it’s easy to get back to a read-only `Seq` object should you need to:

    >>> new_seq = mutable_seq.toseq()
    >>> new_seq
    Seq('AGCCCGTGGGAAAGTCGCCGGGTAATGCACCG', IUPACUnambiguousDNA())

You can also get a string from a `MutableSeq` object just like from a `Seq` object (Section 3.4).

## 3.13 UnknownSeq objects

The `UnknownSeq` object is a subclass of the basic `Seq` object and its purpose is to represent a sequence where we know the length, but not the actual letters making it up. You could of course use a normal `Seq` object in this situation, but it wastes rather a lot of memory to hold a string of a million “N” characters when you could just store a single letter “N” and the desired length as an integer.

    >>> from Bio.Seq import UnknownSeq
    >>> unk = UnknownSeq(20)
    >>> unk
    UnknownSeq(20, alphabet = Alphabet(), character = '?')
    >>> print(unk)
    ????????????????????
    >>> len(unk)
    20

You can of course specify an alphabet, meaning for nucleotide sequences the letter defaults to “N” and for proteins “X”, rather than just “?”.

    >>> from Bio.Seq import UnknownSeq
    >>> from Bio.Alphabet import IUPAC
    >>> unk_dna = UnknownSeq(20, alphabet=IUPAC.ambiguous_dna)
    >>> unk_dna
    UnknownSeq(20, alphabet = IUPACAmbiguousDNA(), character = 'N')
    >>> print(unk_dna)
    NNNNNNNNNNNNNNNNNNNN

You can use all the usual `Seq` object methods too, note these give back memory saving `UnknownSeq` objects where appropriate as you might expect:

    >>> unk_dna
    UnknownSeq(20, alphabet = IUPACAmbiguousDNA(), character = 'N')
    >>> unk_dna.complement()
    UnknownSeq(20, alphabet = IUPACAmbiguousDNA(), character = 'N')
    >>> unk_dna.reverse_complement()
    UnknownSeq(20, alphabet = IUPACAmbiguousDNA(), character = 'N')
    >>> unk_dna.transcribe()
    UnknownSeq(20, alphabet = IUPACAmbiguousRNA(), character = 'N')
    >>> unk_protein = unk_dna.translate()
    >>> unk_protein
    UnknownSeq(6, alphabet = ProteinAlphabet(), character = 'X')
    >>> print(unk_protein)
    XXXXXX
    >>> len(unk_protein)
    6

You may be able to find a use for the `UnknownSeq` object in your own code, but it is more likely that you will first come across them in a `SeqRecord` object created by `Bio.SeqIO` (see Chapter 5). Some sequence file formats don’t always include the actual sequence, for example GenBank and EMBL files may include a list of features but for the sequence just present the contig information. Alternatively, the QUAL files used in sequencing work hold quality scores but they never contain a sequence – instead there is a partner FASTA file which does have the sequence.

## 3.14 Working with strings directly

To close this chapter, for those you who really don’t want to use the sequence objects (or who prefer a functional programming style to an object orientated one), there are module level functions in `Bio.Seq` will accept plain Python strings, `Seq` objects (including `UnknownSeq` objects) or `MutableSeq` objects:

    >>> from Bio.Seq import reverse_complement, transcribe, back_transcribe, translate
    >>> my_string = "GCTGTTATGGGTCGTTGGAAGGGTGGTCGTGCTGCTGGTTAG"
    >>> reverse_complement(my_string)
    'CTAACCAGCAGCACGACCACCCTTCCAACGACCCATAACAGC'
    >>> transcribe(my_string)
    'GCUGUUAUGGGUCGUUGGAAGGGUGGUCGUGCUGCUGGUUAG'
    >>> back_transcribe(my_string)
    'GCTGTTATGGGTCGTTGGAAGGGTGGTCGTGCTGCTGGTTAG'
    >>> translate(my_string)
    'AVMGRWKGGRAAG*'

You are, however, encouraged to work with `Seq` objects by default.

# Chapter 4 Sequence annotation objects

Chapter 3 introduced the sequence classes. Immediately “above” the `Seq` class is the Sequence Record or `SeqRecord` class, defined in the `Bio.SeqRecord` module. This class allows higher level features such as identifiers and features (as `SeqFeature` objects) to be associated with the sequence, and is used throughout the sequence input/output interface `Bio.SeqIO` described fully in Chapter 5.

If you are only going to be working with simple data like FASTA files, you can probably skip this chapter for now. If on the other hand you are going to be using richly annotated sequence data, say from GenBank or EMBL files, this information is quite important.

While this chapter should cover most things to do with the `SeqRecord` and `SeqFeature` objects in this chapter, you may also want to read the `SeqRecord` wiki page (`http://biopython.org/wiki/SeqRecord`), and the built in documentation (also online – SeqRecord and SeqFeature):

    >>> from Bio.SeqRecord import SeqRecord
    >>> help(SeqRecord)
    ...

## 4.1 The SeqRecord object

The `SeqRecord` (Sequence Record) class is defined in the `Bio.SeqRecord` module. This class allows higher level features such as identifiers and features to be associated with a sequence (see Chapter 3), and is the basic data type for the `Bio.SeqIO` sequence input/output interface (see Chapter 5).

The `SeqRecord` class itself is quite simple, and offers the following information as attributes:

.seq
  – The sequence itself, typically a `Seq` object.
.id
  – The primary ID used to identify the sequence – a string. In most cases this is something like an accession number.
.name
  – A “common” name/id for the sequence – a string. In some cases this will be the same as the accession number, but it could also be a clone name. I think of this as being analogous to the LOCUS id in a GenBank record.
.description
  – A human readable description or expressive name for the sequence – a string.
.letter_annotations
  – Holds per-letter-annotations using a (restricted) dictionary of additional information about the letters in the sequence. The keys are the name of the information, and the information is contained in the value as a Python sequence (i.e. a list, tuple or string) with the same length as the sequence itself. This is often used for quality scores (e.g. Section 18.1.6) or secondary structure information (e.g. from Stockholm/PFAM alignment files).
.annotations
  – A dictionary of additional information about the sequence. The keys are the name of the information, and the information is contained in the value. This allows the addition of more “unstructured” information to the sequence.
.features
  – A list of `SeqFeature` objects with more structured information about the features on a sequence (e.g. position of genes on a genome, or domains on a protein sequence). The structure of sequence features is described below in Section 4.3.
.dbxrefs
  - A list of database cross-references as strings.

## 4.2 Creating a SeqRecord

Using a `SeqRecord` object is not very complicated, since all of the information is presented as attributes of the class. Usually you won’t create a `SeqRecord` “by hand”, but instead use `Bio.SeqIO` to read in a sequence file for you (see Chapter 5 and the examples below). However, creating `SeqRecord` can be quite simple.

### 4.2.1 SeqRecord objects from scratch

To create a `SeqRecord` at a minimum you just need a `Seq` object:

    >>> from Bio.Seq import Seq
    >>> simple_seq = Seq("GATC")
    >>> from Bio.SeqRecord import SeqRecord
    >>> simple_seq_r = SeqRecord(simple_seq)

Additionally, you can also pass the id, name and description to the initialization function, but if not they will be set as strings indicating they are unknown, and can be modified subsequently:

    >>> simple_seq_r.id
    '<unknown id>'
    >>> simple_seq_r.id = "AC12345"
    >>> simple_seq_r.description = "Made up sequence I wish I could write a paper about"
    >>> print(simple_seq_r.description)
    Made up sequence I wish I could write a paper about
    >>> simple_seq_r.seq
    Seq('GATC', Alphabet())

Including an identifier is very important if you want to output your `SeqRecord` to a file. You would normally include this when creating the object:

    >>> from Bio.Seq import Seq
    >>> simple_seq = Seq("GATC")
    >>> from Bio.SeqRecord import SeqRecord
    >>> simple_seq_r = SeqRecord(simple_seq, id="AC12345")

As mentioned above, the `SeqRecord` has an dictionary attribute `annotations`. This is used for any miscellaneous annotations that doesn’t fit under one of the other more specific attributes. Adding annotations is easy, and just involves dealing directly with the annotation dictionary:

    >>> simple_seq_r.annotations["evidence"] = "None. I just made it up."
    >>> print(simple_seq_r.annotations)
    {'evidence': 'None. I just made it up.'}
    >>> print(simple_seq_r.annotations["evidence"])
    None. I just made it up.

Working with per-letter-annotations is similar, `letter_annotations` is a dictionary like attribute which will let you assign any Python sequence (i.e. a string, list or tuple) which has the same length as the sequence:

    >>> simple_seq_r.letter_annotations["phred_quality"] = [40, 40, 38, 30]
    >>> print(simple_seq_r.letter_annotations)
    {'phred_quality': [40, 40, 38, 30]}
    >>> print(simple_seq_r.letter_annotations["phred_quality"])
    [40, 40, 38, 30]

The `dbxrefs` and `features` attributes are just Python lists, and should be used to store strings and `SeqFeature` objects (discussed later in this chapter) respectively.

### 4.2.2 SeqRecord objects from FASTA files

This example uses a fairly large FASTA file containing the whole sequence for Yersinia pestis biovar Microtus str. 91001 plasmid pPCP1, originally downloaded from the NCBI. This file is included with the Biopython unit tests under the GenBank folder, or online `NC_005816.fna` from our website.

The file starts like this - and you can check there is only one record present (i.e. only one line starting with a greater than symbol):

    >gi|45478711|ref|NC_005816.1| Yersinia pestis biovar Microtus ... pPCP1, complete sequence
    TGTAACGAACGGTGCAATAGTGATCCACACCCAACGCCTGAAATCAGATCCAGGGGGTAATCTGCTCTCC
    ...

Back in Chapter 2 you will have seen the function `Bio.SeqIO.parse(...)` used to loop over all the records in a file as `SeqRecord` objects. The `Bio.SeqIO` module has a sister function for use on files which contain just one record which we’ll use here (see Chapter 5 for details):

    >>> from Bio import SeqIO
    >>> record = SeqIO.read("NC_005816.fna", "fasta")
    >>> record
    SeqRecord(seq=Seq('TGTAACGAACGGTGCAATAGTGATCCACACCCAACGCCTGAAATCAGATCCAGG...CTG',
    SingleLetterAlphabet()), id='gi|45478711|ref|NC_005816.1|', name='gi|45478711|ref|NC_005816.1|',
    description='gi|45478711|ref|NC_005816.1| Yersinia pestis biovar Microtus ... sequence',
    dbxrefs=[])

Now, let’s have a look at the key attributes of this `SeqRecord` individually – starting with the `seq` attribute which gives you a `Seq` object:

    >>> record.seq
    Seq('TGTAACGAACGGTGCAATAGTGATCCACACCCAACGCCTGAAATCAGATCCAGG...CTG', SingleLetterAlphabet())

Here `Bio.SeqIO` has defaulted to a generic alphabet, rather than guessing that this is DNA. If you know in advance what kind of sequence your FASTA file contains, you can tell `Bio.SeqIO` which alphabet to use (see Chapter 5).

Next, the identifiers and description:

    >>> record.id
    'gi|45478711|ref|NC_005816.1|'
    >>> record.name
    'gi|45478711|ref|NC_005816.1|'
    >>> record.description
    'gi|45478711|ref|NC_005816.1| Yersinia pestis biovar Microtus ... pPCP1, complete sequence'

As you can see above, the first word of the FASTA record’s title line (after removing the greater than symbol) is used for both the `id` and `name` attributes. The whole title line (after removing the greater than symbol) is used for the record description. This is deliberate, partly for backwards compatibility reasons, but it also makes sense if you have a FASTA file like this:

    >Yersinia pestis biovar Microtus str. 91001 plasmid pPCP1
    TGTAACGAACGGTGCAATAGTGATCCACACCCAACGCCTGAAATCAGATCCAGGGGGTAATCTGCTCTCC
    ...

Note that none of the other annotation attributes get populated when reading a FASTA file:

    >>> record.dbxrefs
    []
    >>> record.annotations
    {}
    >>> record.letter_annotations
    {}
    >>> record.features
    []

In this case our example FASTA file was from the NCBI, and they have a fairly well defined set of conventions for formatting their FASTA lines. This means it would be possible to parse this information and extract the GI number and accession for example. However, FASTA files from other sources vary, so this isn’t possible in general.

### 4.2.3 SeqRecord objects from GenBank files

As in the previous example, we’re going to look at the whole sequence for Yersinia pestis biovar Microtus str. 91001 plasmid pPCP1, originally downloaded from the NCBI, but this time as a GenBank file. Again, this file is included with the Biopython unit tests under the GenBank folder, or online `NC_005816.gb` from our website.

This file contains a single record (i.e. only one LOCUS line) and starts:

    LOCUS       NC_005816               9609 bp    DNA     circular BCT 21-JUL-2008
    DEFINITION  Yersinia pestis biovar Microtus str. 91001 plasmid pPCP1, complete
                sequence.
    ACCESSION   NC_005816
    VERSION     NC_005816.1  GI:45478711
    PROJECT     GenomeProject:10638
    ...

Again, we’ll use `Bio.SeqIO` to read this file in, and the code is almost identical to that for used above for the FASTA file (see Chapter 5 for details):

    >>> from Bio import SeqIO
    >>> record = SeqIO.read("NC_005816.gb", "genbank")
    >>> record
    SeqRecord(seq=Seq('TGTAACGAACGGTGCAATAGTGATCCACACCCAACGCCTGAAATCAGATCCAGG...CTG',
    IUPACAmbiguousDNA()), id='NC_005816.1', name='NC_005816',
    description='Yersinia pestis biovar Microtus str. 91001 plasmid pPCP1, complete sequence.',
    dbxrefs=['Project:10638'])

You should be able to spot some differences already! But taking the attributes individually, the sequence string is the same as before, but this time `Bio.SeqIO` has been able to automatically assign a more specific alphabet (see Chapter 5 for details):

    >>> record.seq
    Seq('TGTAACGAACGGTGCAATAGTGATCCACACCCAACGCCTGAAATCAGATCCAGG...CTG', IUPACAmbiguousDNA())

The `name` comes from the LOCUS line, while the `id` includes the version suffix. The description comes from the DEFINITION line:

    >>> record.id
    'NC_005816.1'
    >>> record.name
    'NC_005816'
    >>> record.description
    'Yersinia pestis biovar Microtus str. 91001 plasmid pPCP1, complete sequence.'

GenBank files don’t have any per-letter annotations:

    >>> record.letter_annotations
    {}

Most of the annotations information gets recorded in the `annotations` dictionary, for example:

    >>> len(record.annotations)
    11
    >>> record.annotations["source"]
    'Yersinia pestis biovar Microtus str. 91001'

The `dbxrefs` list gets populated from any PROJECT or DBLINK lines:

    >>> record.dbxrefs
    ['Project:10638']

Finally, and perhaps most interestingly, all the entries in the features table (e.g. the genes or CDS features) get recorded as `SeqFeature` objects in the `features` list.

    >>> len(record.features)
    29

We’ll talk about `SeqFeature` objects next, in Section 4.3.

## 4.3 Feature, location and position objects

### 4.3.1 SeqFeature objects

Sequence features are an essential part of describing a sequence. Once you get beyond the sequence itself, you need some way to organize and easily get at the more “abstract” information that is known about the sequence. While it is probably impossible to develop a general sequence feature class that will cover everything, the Biopython `SeqFeature` class attempts to encapsulate as much of the information about the sequence as possible. The design is heavily based on the GenBank/EMBL feature tables, so if you understand how they look, you’ll probably have an easier time grasping the structure of the Biopython classes.

The key idea about each `SeqFeature` object is to describe a region on a parent sequence, typically a `SeqRecord` object. That region is described with a location object, typically a range between two positions (see Section 4.3.2 below).

The `SeqFeature` class has a number of attributes, so first we’ll list them and their general features, and then later in the chapter work through examples to show how this applies to a real life example. The attributes of a SeqFeature are:

.type
  – This is a textual description of the type of feature (for instance, this will be something like ‘CDS’ or ‘gene’).
.location
  – The location of the `SeqFeature` on the sequence that you are dealing with, see Section 4.3.2 below. The `SeqFeature` delegates much of its functionality to the location object, and includes a number of shortcut attributes for properties of the location:
  .ref
    – shorthand for `.location.ref` – any (different) reference sequence the location is referring to. Usually just None.
  .ref_db
    – shorthand for `.location.ref_db` – specifies the database any identifier in `.ref` refers to. Usually just None.
  .strand
    – shorthand for `.location.strand` – the strand on the sequence that the feature is located on. For double stranded nucleotide sequence this may either be 1 for the top strand, −1 for the bottom strand, 0 if the strand is important but is unknown, or `None` if it doesn’t matter. This is None for proteins, or single stranded sequences.
.qualifiers
  – This is a Python dictionary of additional information about the feature. The key is some kind of terse one-word description of what the information contained in the value is about, and the value is the actual information. For example, a common key for a qualifier might be “evidence” and the value might be “computational (non-experimental).” This is just a way to let the person who is looking at the feature know that it has not be experimentally (i. e. in a wet lab) confirmed. Note that other the value will be a list of strings (even when there is only one string). This is a reflection of the feature tables in GenBank/EMBL files.
.sub_features
  – This used to be used to represent features with complicated locations like ‘joins’ in GenBank/EMBL files. This has been deprecated with the introduction of the `CompoundLocation` object, and should now be ignored.

### 4.3.2 Positions and locations

The key idea about each `SeqFeature` object is to describe a region on a parent sequence, for which we use a location object, typically describing a range between two positions. Two try to clarify the terminology we’re using:

position
  – This refers to a single position on a sequence, which may be fuzzy or not. For instance, 5, 20, `<100` and `>200` are all positions.
location
  – A location is region of sequence bounded by some positions. For instance 5..20 (i. e. 5 to 20) is a location.

I just mention this because sometimes I get confused between the two.

#### 4.3.2.1 FeatureLocation object

Unless you work with eukaryotic genes, most `SeqFeature` locations are extremely simple - you just need start and end coordinates and a strand. That’s essentially all the basic `FeatureLocation` object does.

In practise of course, things can be more complicated. First of all we have to handle compound locations made up of several regions. Secondly, the positions themselves may be fuzzy (inexact).

#### 4.3.2.2 CompoundLocation object

Biopython 1.62 introduced the `CompoundLocation` as part of a restructuring of how complex locations made up of multiple regions are represented. The main usage is for handling ‘join’ locations in EMBL/GenBank files.

#### 4.3.2.3 Fuzzy Positions

So far we’ve only used simple positions. One complication in dealing with feature locations comes in the positions themselves. In biology many times things aren’t entirely certain (as much as us wet lab biologists try to make them certain!). For instance, you might do a dinucleotide priming experiment and discover that the start of mRNA transcript starts at one of two sites. This is very useful information, but the complication comes in how to represent this as a position. To help us deal with this, we have the concept of fuzzy positions. Basically there are several types of fuzzy positions, so we have five classes do deal with them:

ExactPosition
  – As its name suggests, this class represents a position which is specified as exact along the sequence. This is represented as just a number, and you can get the position by looking at the `position` attribute of the object.
BeforePosition
  – This class represents a fuzzy position that occurs prior to some specified site. In GenBank/EMBL notation, this is represented as something like ``<13'`, signifying that the real position is located somewhere less than 13. To get the specified upper boundary, look at the `position` attribute of the object.
AfterPosition
  – Contrary to `BeforePosition`, this class represents a position that occurs after some specified site. This is represented in GenBank as ``>13'`, and like `BeforePosition`, you get the boundary number by looking at the `position` attribute of the object.
WithinPosition
  – Occasionally used for GenBank/EMBL locations, this class models a position which occurs somewhere between two specified nucleotides. In GenBank/EMBL notation, this would be represented as ‘(1.5)’, to represent that the position is somewhere within the range 1 to 5. To get the information in this class you have to look at two attributes. The `position` attribute specifies the lower boundary of the range we are looking at, so in our example case this would be one. The `extension` attribute specifies the range to the higher boundary, so in this case it would be 4. So `object.position` is the lower boundary and `object.position + object.extension` is the upper boundary.
OneOfPosition
  – Occasionally used for GenBank/EMBL locations, this class deals with a position where several possible values exist, for instance you could use this if the start codon was unclear and there where two candidates for the start of the gene. Alternatively, that might be handled explicitly as two related gene features.
UnknownPosition
  – This class deals with a position of unknown location. This is not used in GenBank/EMBL, but corresponds to the ‘?’ feature coordinate used in UniProt.

Here’s an example where we create a location with fuzzy end points:

    >>> from Bio import SeqFeature
    >>> start_pos = SeqFeature.AfterPosition(5)
    >>> end_pos = SeqFeature.BetweenPosition(9, left=8, right=9)
    >>> my_location = SeqFeature.FeatureLocation(start_pos, end_pos)

Note that the details of some of the fuzzy-locations changed in Biopython 1.59, in particular for BetweenPosition and WithinPosition you must now make it explicit which integer position should be used for slicing etc. For a start position this is generally the lower (left) value, while for an end position this would generally be the higher (right) value.

If you print out a `FeatureLocation` object, you can get a nice representation of the information:

    >>> print(my_location)
    [>5:(8^9)]

We can access the fuzzy start and end positions using the start and end attributes of the location:

    >>> my_location.start
    AfterPosition(5)
    >>> print(my_location.start)
    >5
    >>> my_location.end
    BetweenPosition(9, left=8, right=9)
    >>> print(my_location.end)
    (8^9)

If you don’t want to deal with fuzzy positions and just want numbers, they are actually subclasses of integers so should work like integers:

    >>> int(my_location.start)
    5
    >>> int(my_location.end)
    9

For compatibility with older versions of Biopython you can ask for the `nofuzzy_start` and `nofuzzy_end` attributes of the location which are plain integers:

    >>> my_location.nofuzzy_start
    5
    >>> my_location.nofuzzy_end
    9

Notice that this just gives you back the position attributes of the fuzzy locations.

Similarly, to make it easy to create a position without worrying about fuzzy positions, you can just pass in numbers to the `FeaturePosition` constructors, and you’ll get back out `ExactPosition` objects:

    >>> exact_location = SeqFeature.FeatureLocation(5, 9)
    >>> print(exact_location)
    [5:9]
    >>> exact_location.start
    ExactPosition(5)
    >>> int(exact_location.start)
    5
    >>> exact_location.nofuzzy_start
    5

That is most of the nitty gritty about dealing with fuzzy positions in Biopython. It has been designed so that dealing with fuzziness is not that much more complicated than dealing with exact positions, and hopefully you find that true!

#### 4.3.2.4 Location testing

You can use the Python keyword `in` with a `SeqFeature` or location object to see if the base/residue for a parent coordinate is within the feature/location or not.

For example, suppose you have a SNP of interest and you want to know which features this SNP is within, and lets suppose this SNP is at index 4350 (Python counting!). Here is a simple brute force solution where we just check all the features one by one in a loop:

    >>> from Bio import SeqIO
    >>> my_snp = 4350
    >>> record = SeqIO.read("NC_005816.gb", "genbank")
    >>> for feature in record.features:
    ...     if my_snp in feature:
    ...         print("%s %s" % (feature.type, feature.qualifiers.get('db_xref')))
    ...
    source ['taxon:229193']
    gene ['GeneID:2767712']
    CDS ['GI:45478716', 'GeneID:2767712']

Note that gene and CDS features from GenBank or EMBL files defined with joins are the union of the exons – they do not cover any introns.

### 4.3.3 Sequence described by a feature or location

A `SeqFeature` or location object doesn’t directly contain a sequence, instead the location (see Section 4.3.2) describes how to get this from the parent sequence. For example consider a (short) gene sequence with location 5:18 on the reverse strand, which in GenBank/EMBL notation using 1-based counting would be `complement(6..18)`, like this:

    >>> from Bio.Seq import Seq
    >>> from Bio.SeqFeature import SeqFeature, FeatureLocation
    >>> example_parent = Seq("ACCGAGACGGCAAAGGCTAGCATAGGTATGAGACTTCCTTCCTGCCAGTGCTGAGGAACTGGGAGCCTAC")
    >>> example_feature = SeqFeature(FeatureLocation(5, 18), type="gene", strand=-1)

You could take the parent sequence, slice it to extract 5:18, and then take the reverse complement. If you are using Biopython 1.59 or later, the feature location’s start and end are integer like so this works:

    >>> feature_seq = example_parent[example_feature.location.start:example_feature.location.end].reverse_complement()
    >>> print(feature_seq)
    AGCCTTTGCCGTC

This is a simple example so this isn’t too bad – however once you have to deal with compound features (joins) this is rather messy. Instead, the `SeqFeature` object has an `extract` method to take care of all this:

    >>> feature_seq = example_feature.extract(example_parent)
    >>> print(feature_seq)
    AGCCTTTGCCGTC

The length of a `SeqFeature` or location matches that of the region of sequence it describes.

    >>> print(example_feature.extract(example_parent))
    AGCCTTTGCCGTC
    >>> print(len(example_feature.extract(example_parent)))
    13
    >>> print(len(example_feature))
    13
    >>> print(len(example_feature.location))
    13

For simple `FeatureLocation` objects the length is just the difference between the start and end positions. However, for a `CompoundLocation` the length is the sum of the constituent regions.

## 4.4 References

Another common annotation related to a sequence is a reference to a journal or other published work dealing with the sequence. We have a fairly simple way of representing a Reference in Biopython – we have a `Bio.SeqFeature.Reference` class that stores the relevant information about a reference as attributes of an object.

The attributes include things that you would expect to see in a reference like `journal`, `title` and `authors`. Additionally, it also can hold the `medline_id` and `pubmed_id` and a `comment` about the reference. These are all accessed simply as attributes of the object.

A reference also has a `location` object so that it can specify a particular location on the sequence that the reference refers to. For instance, you might have a journal that is dealing with a particular gene located on a BAC, and want to specify that it only refers to this position exactly. The `location` is a potentially fuzzy location, as described in section 4.3.2.

Any reference objects are stored as a list in the `SeqRecord` object’s `annotations` dictionary under the key “references”. That’s all there is too it. References are meant to be easy to deal with, and hopefully general enough to cover lots of usage cases.

## 4.5 The format method

The `format()` method of the `SeqRecord` class gives a string containing your record formatted using one of the output file formats supported by `Bio.SeqIO`, such as FASTA:

    from Bio.Seq import Seq
    from Bio.SeqRecord import SeqRecord
    from Bio.Alphabet import generic_protein

    record = SeqRecord(Seq("MMYQQGCFAGGTVLRLAKDLAENNRGARVLVVCSEITAVTFRGPSETHLDSMVGQALFGD" \
                          +"GAGAVIVGSDPDLSVERPLYELVWTGATLLPDSEGAIDGHLREVGLTFHLLKDVPGLISK" \
                          +"NIEKSLKEAFTPLGISDWNSTFWIAHPGGPAILDQVEAKLGLKEEKMRATREVLSEYGNM" \
                          +"SSAC", generic_protein),
                       id="gi|14150838|gb|AAK54648.1|AF376133_1",
                       description="chalcone synthase [Cucumis sativus]")

    print(record.format("fasta"))

which should give:

    >gi|14150838|gb|AAK54648.1|AF376133_1 chalcone synthase [Cucumis sativus]
    MMYQQGCFAGGTVLRLAKDLAENNRGARVLVVCSEITAVTFRGPSETHLDSMVGQALFGD
    GAGAVIVGSDPDLSVERPLYELVWTGATLLPDSEGAIDGHLREVGLTFHLLKDVPGLISK
    NIEKSLKEAFTPLGISDWNSTFWIAHPGGPAILDQVEAKLGLKEEKMRATREVLSEYGNM
    SSAC

This `format` method takes a single mandatory argument, a lower case string which is supported by `Bio.SeqIO` as an output format (see Chapter 5). However, some of the file formats `Bio.SeqIO` can write to require more than one record (typically the case for multiple sequence alignment formats), and thus won’t work via this `format()` method. See also Section 5.5.4.

## 4.6 Slicing a SeqRecord

You can slice a `SeqRecord`, to give you a new `SeqRecord` covering just part of the sequence. What is important here is that any per-letter annotations are also sliced, and any features which fall completely within the new sequence are preserved (with their locations adjusted).

For example, taking the same GenBank file used earlier:

    >>> from Bio import SeqIO
    >>> record = SeqIO.read("NC_005816.gb", "genbank")

    >>> record
    SeqRecord(seq=Seq('TGTAACGAACGGTGCAATAGTGATCCACACCCAACGCCTGAAATCAGATCCAGG...CTG',
    IUPACAmbiguousDNA()), id='NC_005816.1', name='NC_005816',
    description='Yersinia pestis biovar Microtus str. 91001 plasmid pPCP1, complete sequence.',
    dbxrefs=['Project:10638'])

    >>> len(record)
    9609
    >>> len(record.features)
    41

For this example we’re going to focus in on the `pim` gene, `YP_pPCP05`. If you have a look at the GenBank file directly you’ll find this gene/CDS has location string `4343..4780`, or in Python counting `4342:4780`. From looking at the file you can work out that these are the twelfth and thirteenth entries in the file, so in Python zero-based counting they are entries 11 and 12 in the `features` list:

    >>> print(record.features[20])
    type: gene
    location: [4342:4780](+)
    qualifiers:
        Key: db_xref, Value: ['GeneID:2767712']
        Key: gene, Value: ['pim']
        Key: locus_tag, Value: ['YP_pPCP05']
    <BLANKLINE>

    >>> print(record.features[21])
    type: CDS
    location: [4342:4780](+)
    qualifiers:
        Key: codon_start, Value: ['1']
        Key: db_xref, Value: ['GI:45478716', 'GeneID:2767712']
        Key: gene, Value: ['pim']
        Key: locus_tag, Value: ['YP_pPCP05']
        Key: note, Value: ['similar to many previously sequenced pesticin immunity ...']
        Key: product, Value: ['pesticin immunity protein']
        Key: protein_id, Value: ['NP_995571.1']
        Key: transl_table, Value: ['11']
        Key: translation, Value: ['MGGGMISKLFCLALIFLSSSGLAEKNTYTAKDILQNLELNTFGNSLSH...']

Let’s slice this parent record from 4300 to 4800 (enough to include the `pim` gene/CDS), and see how many features we get:

    >>> sub_record = record[4300:4800]

    >>> sub_record
    SeqRecord(seq=Seq('ATAAATAGATTATTCCAAATAATTTATTTATGTAAGAACAGGATGGGAGGGGGA...TTA',
    IUPACAmbiguousDNA()), id='NC_005816.1', name='NC_005816',
    description='Yersinia pestis biovar Microtus str. 91001 plasmid pPCP1, complete sequence.',
    dbxrefs=[])

    >>> len(sub_record)
    500
    >>> len(sub_record.features)
    2

Our sub-record just has two features, the gene and CDS entries for `YP_pPCP05`:

    >>> print(sub_record.features[0])
    type: gene
    location: [42:480](+)
    qualifiers:
        Key: db_xref, Value: ['GeneID:2767712']
        Key: gene, Value: ['pim']
        Key: locus_tag, Value: ['YP_pPCP05']
    <BLANKLINE>

    >>> print(sub_record.features[20])
    type: CDS
    location: [42:480](+)
    qualifiers:
        Key: codon_start, Value: ['1']
        Key: db_xref, Value: ['GI:45478716', 'GeneID:2767712']
        Key: gene, Value: ['pim']
        Key: locus_tag, Value: ['YP_pPCP05']
        Key: note, Value: ['similar to many previously sequenced pesticin immunity ...']
        Key: product, Value: ['pesticin immunity protein']
        Key: protein_id, Value: ['NP_995571.1']
        Key: transl_table, Value: ['11']
        Key: translation, Value: ['MGGGMISKLFCLALIFLSSSGLAEKNTYTAKDILQNLELNTFGNSLSH...']

Notice that their locations have been adjusted to reflect the new parent sequence!

While Biopython has done something sensible and hopefully intuitive with the features (and any per-letter annotation), for the other annotation it is impossible to know if this still applies to the sub-sequence or not. To avoid guessing, the `annotations` and `dbxrefs` are omitted from the sub-record, and it is up to you to transfer any relevant information as appropriate.

    >>> sub_record.annotations
    {}
    >>> sub_record.dbxrefs
    []

The same point could be made about the record `id`, `name` and `description`, but for practicality these are preserved:

    >>> sub_record.id
    'NC_005816.1'
    >>> sub_record.name
    'NC_005816'
    >>> sub_record.description
    'Yersinia pestis biovar Microtus str. 91001 plasmid pPCP1, complete sequence.'

This illustrates the problem nicely though, our new sub-record is not the complete sequence of the plasmid, so the description is wrong! Let’s fix this and then view the sub-record as a reduced GenBank file using the `format` method described above in Section 4.5:

    >>> sub_record.description = "Yersinia pestis biovar Microtus str. 91001 plasmid pPCP1, partial."
    >>> print(sub_record.format("genbank"))
    ...

See Sections 18.1.7 and 18.1.8 for some FASTQ examples where the per-letter annotations (the read quality scores) are also sliced.

## 4.7 Adding SeqRecord objects

You can add `SeqRecord` objects together, giving a new `SeqRecord`. What is important here is that any common per-letter annotations are also added, all the features are preserved (with their locations adjusted), and any other common annotation is also kept (like the id, name and description).

For an example with per-letter annotation, we’ll use the first record in a FASTQ file. Chapter 5 will explain the `SeqIO` functions:

    >>> from Bio import SeqIO
    >>> record = next(SeqIO.parse("example.fastq", "fastq"))
    >>> len(record)
    25
    >>> print(record.seq)
    CCCTTCTTGTCTTCAGCGTTTCTCC

    >>> print(record.letter_annotations["phred_quality"])
    [26, 26, 18, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 22, 26, 26, 26, 26,
    26, 26, 26, 23, 23]

Let’s suppose this was Roche 454 data, and that from other information you think the `TTT` should be only `TT`. We can make a new edited record by first slicing the `SeqRecord` before and after the “extra” third `T`:

    >>> left = record[:20]
    >>> print(left.seq)
    CCCTTCTTGTCTTCAGCGTT
    >>> print(left.letter_annotations["phred_quality"])
    [26, 26, 18, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 22, 26, 26, 26, 26]
    >>> right = record[21:]
    >>> print(right.seq)
    CTCC
    >>> print(right.letter_annotations["phred_quality"])
    [26, 26, 23, 23]

Now add the two parts together:

    >>> edited = left + right
    >>> len(edited)
    24
    >>> print(edited.seq)
    CCCTTCTTGTCTTCAGCGTTCTCC

    >>> print(edited.letter_annotations["phred_quality"])
    [26, 26, 18, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 22, 26, 26, 26, 26,
    26, 26, 23, 23]

Easy and intuitive? We hope so! You can make this shorter with just:

    >>> edited = record[:20] + record[21:]

Now, for an example with features, we’ll use a GenBank file. Suppose you have a circular genome:

    >>> from Bio import SeqIO
    >>> record = SeqIO.read("NC_005816.gb", "genbank")

    >>> record
    SeqRecord(seq=Seq('TGTAACGAACGGTGCAATAGTGATCCACACCCAACGCCTGAAATCAGATCCAGG...CTG',
    IUPACAmbiguousDNA()), id='NC_005816.1', name='NC_005816',
    description='Yersinia pestis biovar Microtus str. 91001 plasmid pPCP1, complete sequence.',
    dbxrefs=['Project:10638'])

    >>> len(record)
    9609
    >>> len(record.features)
    41
    >>> record.dbxrefs
    ['Project:58037']

    >>> record.annotations.keys()
    ['comment', 'sequence_version', 'source', 'taxonomy', 'keywords', 'references',
    'accessions', 'data_file_division', 'date', 'organism', 'gi']

You can shift the origin like this:

    >>> shifted = record[2000:] + record[:2000]

    >>> shifted
    SeqRecord(seq=Seq('GATACGCAGTCATATTTTTTACACAATTCTCTAATCCCGACAAGGTCGTAGGTC...GGA',
    IUPACAmbiguousDNA()), id='NC_005816.1', name='NC_005816',
    description='Yersinia pestis biovar Microtus str. 91001 plasmid pPCP1, complete sequence.',
    dbxrefs=[])

    >>> len(shifted)
    9609

Note that this isn’t perfect in that some annotation like the database cross references and one of the features (the source feature) have been lost:

    >>> len(shifted.features)
    40
    >>> shifted.dbxrefs
    []
    >>> shifted.annotations.keys()
    []

This is because the `SeqRecord` slicing step is cautious in what annotation it preserves (erroneously propagating annotation can cause major problems). If you want to keep the database cross references or the annotations dictionary, this must be done explicitly:

    >>> shifted.dbxrefs = record.dbxrefs[:]
    >>> shifted.annotations = record.annotations.copy()
    >>> shifted.dbxrefs
    ['Project:10638']
    >>> shifted.annotations.keys()
    ['comment', 'sequence_version', 'source', 'taxonomy', 'keywords', 'references',
    'accessions', 'data_file_division', 'date', 'organism', 'gi']

Also note that in an example like this, you should probably change the record identifiers since the NCBI references refer to the original unmodified sequence.

## 4.8 Reverse-complementing SeqRecord objects

One of the new features in Biopython 1.57 was the `SeqRecord` object’s `reverse_complement` method. This tries to balance easy of use with worries about what to do with the annotation in the reverse complemented record.

For the sequence, this uses the Seq object’s reverse complement method. Any features are transferred with the location and strand recalculated. Likewise any per-letter-annotation is also copied but reversed (which makes sense for typical examples like quality scores). However, transfer of most annotation is problematical.

For instance, if the record ID was an accession, that accession should not really apply to the reverse complemented sequence, and transferring the identifier by default could easily cause subtle data corruption in downstream analysis. Therefore by default, the `SeqRecord`’s id, name, description, annotations and database cross references are all not transferred by default.

The `SeqRecord` object’s `reverse_complement` method takes a number of optional arguments corresponding to properties of the record. Setting these arguments to `True` means copy the old values, while `False` means drop the old values and use the default value. You can alternatively provide the new desired value instead.

Consider this example record:

    >>> from Bio import SeqIO
    >>> record = SeqIO.read("NC_005816.gb", "genbank")
    >>> print("%s %i %i %i %i" % (record.id, len(record), len(record.features), len(record.dbxrefs), len(record.annotations)))
    NC_005816.1 9609 41 1 11

Here we take the reverse complement and specify a new identifier – but notice how most of the annotation is dropped (but not the features):

    >>> rc = record.reverse_complement(id="TESTING")
    >>> print("%s %i %i %i %i" % (rc.id, len(rc), len(rc.features), len(rc.dbxrefs), len(rc.annotations)))
    TESTING 9609 41 0 0

# Chapter 5 Sequence Input/Output

In this chapter we’ll discuss in more detail the `Bio.SeqIO` module, which was briefly introduced in Chapter 2 and also used in Chapter 4. This aims to provide a simple interface for working with assorted sequence file formats in a uniform way. See also the `Bio.SeqIO` wiki page (`http://biopython.org/wiki/SeqIO`), and the built in documentation (also online):

    >>> from Bio import SeqIO
    >>> help(SeqIO)
    ...

The “catch” is that you have to work with `SeqRecord` objects (see Chapter 4), which contain a `Seq` object (see Chapter 3) plus annotation like an identifier and description.

## 5.1 Parsing or Reading Sequences

The workhorse function `Bio.SeqIO.parse()` is used to read in sequence data as SeqRecord objects. This function expects two arguments:

1. The first argument is a handle to read the data from, or a filename. A handle is typically a file opened for reading, but could be the output from a command line program, or data downloaded from the internet (see Section 5.3). See Section 22.1 for more about handles.
2. The second argument is a lower case string specifying sequence format – we don’t try and guess the file format for you! See `http://biopython.org/wiki/SeqIO` for a full listing of supported formats.

There is an optional argument `alphabet` to specify the alphabet to be used. This is useful for file formats like FASTA where otherwise `Bio.SeqIO` will default to a generic alphabet.

The `Bio.SeqIO.parse()` function returns an iterator which gives `SeqRecord` objects. Iterators are typically used in a for loop as shown below.

Sometimes you’ll find yourself dealing with files which contain only a single record. For this situation use the function `Bio.SeqIO.read()` which takes the same arguments. Provided there is one and only one record in the file, this is returned as a `SeqRecord` object. Otherwise an exception is raised.

### 5.1.1 Reading Sequence Files

In general `Bio.SeqIO.parse()` is used to read in sequence files as `SeqRecord` objects, and is typically used with a for loop like this:

    from Bio import SeqIO
    for seq_record in SeqIO.parse("ls_orchid.fasta", "fasta"):
        print(seq_record.id)
        print(repr(seq_record.seq))
        print(len(seq_record))

The above example is repeated from the introduction in Section 2.4, and will load the orchid DNA sequences in the FASTA format file ls_orchid.fasta. If instead you wanted to load a GenBank format file like ls_orchid.gbk then all you need to do is change the filename and the format string:

    from Bio import SeqIO
    for seq_record in SeqIO.parse("ls_orchid.gbk", "genbank"):
        print(seq_record.id)
        print(seq_record.seq)
        print(len(seq_record))

Similarly, if you wanted to read in a file in another file format, then assuming `Bio.SeqIO.parse()` supports it you would just need to change the format string as appropriate, for example “swiss” for SwissProt files or “embl” for EMBL text files. There is a full listing on the wiki page (`http://biopython.org/wiki/SeqIO`) and in the built in documentation (also online).

Another very common way to use a Python iterator is within a list comprehension (or a generator expression). For example, if all you wanted to extract from the file was a list of the record identifiers we can easily do this with the following list comprehension:

    >>> from Bio import SeqIO
    >>> identifiers = [seq_record.id for seq_record in SeqIO.parse("ls_orchid.gbk", "genbank")]
    >>> identifiers
    ['Z78533.1', 'Z78532.1', 'Z78531.1', 'Z78530.1', 'Z78529.1', 'Z78527.1', ..., 'Z78439.1']

There are more examples using `SeqIO.parse()` in a list comprehension like this in Section 18.2 (e.g. for plotting sequence lengths or GC%).

### 5.1.2 Iterating over the records in a sequence file

In the above examples, we have usually used a for loop to iterate over all the records one by one. You can use the for loop with all sorts of Python objects (including lists, tuples and strings) which support the iteration interface.

The object returned by `Bio.SeqIO` is actually an iterator which returns `SeqRecord` objects. You get to see each record in turn, but once and only once. The plus point is that an iterator can save you memory when dealing with large files.

Instead of using a for loop, can also use the `next()` function on an iterator to step through the entries, like this:

    from Bio import SeqIO
    record_iterator = SeqIO.parse("ls_orchid.fasta", "fasta")

    first_record = next(record_iterator)
    print(first_record.id)
    print(first_record.description)

    second_record = next(record_iterator)
    print(second_record.id)
    print(second_record.description)

Note that if you try to use `next()` and there are no more results, you’ll get the special `StopIteration` exception.

One special case to consider is when your sequence files have multiple records, but you only want the first one. In this situation the following code is very concise:

    from Bio import SeqIO
    first_record = next(SeqIO.parse("ls_orchid.gbk", "genbank"))

A word of warning here – using the `next()` function like this will silently ignore any additional records in the file. If your files have one and only one record, like some of the online examples later in this chapter, or a GenBank file for a single chromosome, then use the new `Bio.SeqIO.read()` function instead. This will check there are no extra unexpected records present.

### 5.1.3 Getting a list of the records in a sequence file

In the previous section we talked about the fact that `Bio.SeqIO.parse()` gives you a `SeqRecord` iterator, and that you get the records one by one. Very often you need to be able to access the records in any order. The Python `list` data type is perfect for this, and we can turn the record iterator into a list of `SeqRecord` objects using the built-in Python function `list()` like so:

    from Bio import SeqIO
    records = list(SeqIO.parse("ls_orchid.gbk", "genbank"))

    print("Found %i records" % len(records))

    print("The last record")
    last_record = records[-1] #using Python's list tricks
    print(last_record.id)
    print(repr(last_record.seq))
    print(len(last_record))

    print("The first record")
    first_record = records[0] #remember, Python counts from zero
    print(first_record.id)
    print(repr(first_record.seq))
    print(len(first_record))

Giving:

    Found 94 records
    The last record
    Z78439.1
    Seq('CATTGTTGAGATCACATAATAATTGATCGAGTTAATCTGGAGGATCTGTTTACT...GCC', IUPACAmbiguousDNA())
    592
    The first record
    Z78533.1
    Seq('CGTAACAAGGTTTCCGTAGGTGAACCTGCGGAAGGATCATTGATGAGACCGTGG...CGC', IUPACAmbiguousDNA())
    740

You can of course still use a for loop with a list of `SeqRecord` objects. Using a list is much more flexible than an iterator (for example, you can determine the number of records from the length of the list), but does need more memory because it will hold all the records in memory at once.

### 5.1.4 Extracting data

The `SeqRecord` object and its annotation structures are described more fully in Chapter 4. As an example of how annotations are stored, we’ll look at the output from parsing the first record in the GenBank file ls_orchid.gbk.

    from Bio import SeqIO
    record_iterator = SeqIO.parse("ls_orchid.gbk", "genbank")
    first_record = next(record_iterator)
    print(first_record)

That should give something like this:

    ID: Z78533.1
    Name: Z78533
    Description: C.irapeanum 5.8S rRNA gene and ITS1 and ITS2 DNA.
    Number of features: 5
    /sequence_version=1
    /source=Cypripedium irapeanum
    /taxonomy=['Eukaryota', 'Viridiplantae', 'Streptophyta', ..., 'Cypripedium']
    /keywords=['5.8S ribosomal RNA', '5.8S rRNA gene', ..., 'ITS1', 'ITS2']
    /references=[...]
    /accessions=['Z78533']
    /data_file_division=PLN
    /date=30-NOV-2006
    /organism=Cypripedium irapeanum
    /gi=2765658
    Seq('CGTAACAAGGTTTCCGTAGGTGAACCTGCGGAAGGATCATTGATGAGACCGTGG...CGC', IUPACAmbiguousDNA())

This gives a human readable summary of most of the annotation data for the `SeqRecord`. For this example we’re going to use the `.annotations` attribute which is just a Python dictionary. The contents of this annotations dictionary were shown when we printed the record above. You can also print them out directly:

    print(first_record.annotations)

Like any Python dictionary, you can easily get a list of the keys:

    print(first_record.annotations.keys())

or values:

    print(first_record.annotations.values())

In general, the annotation values are strings, or lists of strings. One special case is any references in the file get stored as reference objects.

Suppose you wanted to extract a list of the species from the ls_orchid.gbk GenBank file. The information we want, Cypripedium irapeanum, is held in the annotations dictionary under ‘source’ and ‘organism’, which we can access like this:

    >>> print(first_record.annotations["source"])
    Cypripedium irapeanum

or:

    >>> print(first_record.annotations["organism"])
    Cypripedium irapeanum

In general, ‘organism’ is used for the scientific name (in Latin, e.g. Arabidopsis thaliana), while ‘source’ will often be the common name (e.g. thale cress). In this example, as is often the case, the two fields are identical.

Now let’s go through all the records, building up a list of the species each orchid sequence is from:

    from Bio import SeqIO
    all_species = []
    for seq_record in SeqIO.parse("ls_orchid.gbk", "genbank"):
        all_species.append(seq_record.annotations["organism"])
    print(all_species)

Another way of writing this code is to use a list comprehension:

    from Bio import SeqIO
    all_species = [seq_record.annotations["organism"] for seq_record in \
                   SeqIO.parse("ls_orchid.gbk", "genbank")]
    print(all_species)

In either case, the result is:

    ['Cypripedium irapeanum', 'Cypripedium californicum', ..., 'Paphiopedilum barbatum']

Great. That was pretty easy because GenBank files are annotated in a standardised way.

Now, let’s suppose you wanted to extract a list of the species from a FASTA file, rather than the GenBank file. The bad news is you will have to write some code to extract the data you want from the record’s description line - if the information is in the file in the first place! Our example FASTA format file ls_orchid.fasta starts like this:

    >gi|2765658|emb|Z78533.1|CIZ78533 C.irapeanum 5.8S rRNA gene and ITS1 and ITS2 DNA
    CGTAACAAGGTTTCCGTAGGTGAACCTGCGGAAGGATCATTGATGAGACCGTGGAATAAACGATCGAGTG
    AATCCGGAGGACCGGTGTACTCAGCTCACCGGGGGCATTGCTCCCGTGGTGACCCTGATTTGTTGTTGGG
    ...

You can check by hand, but for every record the species name is in the description line as the second word. This means if we break up each record’s `.description` at the spaces, then the species is there as field number one (field zero is the record identifier). That means we can do this:

    from Bio import SeqIO
    all_species = []
    for seq_record in SeqIO.parse("ls_orchid.fasta", "fasta"):
        all_species.append(seq_record.description.split()[1])
    print(all_species)

This gives:

    ['C.irapeanum', 'C.californicum', 'C.fasciculatum', 'C.margaritaceum', ..., 'P.barbatum']

The concise alternative using list comprehensions would be:

    from Bio import SeqIO
    all_species == [seq_record.description.split()[1] for seq_record in \
                    SeqIO.parse("ls_orchid.fasta", "fasta")]
    print(all_species)

In general, extracting information from the FASTA description line is not very nice. If you can get your sequences in a well annotated file format like GenBank or EMBL, then this sort of annotation information is much easier to deal with.

## 5.2 Parsing sequences from compressed files

In the previous section, we looked at parsing sequence data from a file. Instead of using a filename, you can give `Bio.SeqIO` a handle (see Section 22.1), and in this section we’ll use handles to parse sequence from compressed files.

As you’ll have seen above, we can use `Bio.SeqIO.read()` or `Bio.SeqIO.parse()` with a filename - for instance this quick example calculates the total length of the sequences in a multiple record GenBank file using a generator expression:

    >>> from Bio import SeqIO
    >>> print(sum(len(r) for r in SeqIO.parse("ls_orchid.gbk", "gb")))
    67518

Here we use a file handle instead, using the `with` statement to close the handle automatically:

    >>> from Bio import SeqIO
    >>> with open("ls_orchid.gbk") as handle:
    ...     print(sum(len(r) for r in SeqIO.parse(handle, "gb")))
    67518

Or, the old fashioned way where you manually close the handle:

    >>> from Bio import SeqIO
    >>> handle = open("ls_orchid.gbk")
    >>> print(sum(len(r) for r in SeqIO.parse(handle, "gb")))
    67518
    >>> handle.close()

Now, suppose we have a gzip compressed file instead? These are very commonly used on Linux. We can use Python’s `gzip` module to open the compressed file for reading - which gives us a handle object:

    >>> import gzip
    >>> from Bio import SeqIO
    >>> handle = gzip.open("ls_orchid.gbk.gz", "r")
    >>> print(sum(len(r) for r in SeqIO.parse(handle, "gb")))
    67518
    >>> handle.close()

Similarly if we had a bzip2 compressed file (sadly the function name isn’t quite as consistent):

    >>> import bz2
    >>> from Bio import SeqIO
    >>> handle = bz2.BZ2File("ls_orchid.gbk.bz2", "r")
    >>> print(sum(len(r) for r in SeqIO.parse(handle, "gb")))
    67518
    >>> handle.close()

If you are using Python 2.7 or later, the `with`-version works for gzip and bz2 as well. Unfortunately this is broken on older versions of Python (Issue 3860) and you’d get an `AttributeError` about `__exit__` being missing.

There is a gzip (GNU Zip) variant called BGZF (Blocked GNU Zip Format), which can be treated like an ordinary gzip file for reading, but has advantages for random access later which we’ll talk about later in Section 5.4.4.

## 5.3 Parsing sequences from the net

In the previous sections, we looked at parsing sequence data from a file (using a filename or handle), and from compressed files (using a handle). Here we’ll use `Bio.SeqIO` with another type of handle, a network connection, to download and parse sequences from the internet.

Note that just because you can download sequence data and parse it into a `SeqRecord` object in one go doesn’t mean this is a good idea. In general, you should probably download sequences once and save them to a file for reuse.

### 5.3.1 Parsing GenBank records from the net

Section 9.6 talks about the Entrez EFetch interface in more detail, but for now let’s just connect to the NCBI and get a few Opuntia (prickly-pear) sequences from GenBank using their GI numbers.

First of all, let’s fetch just one record. If you don’t care about the annotations and features downloading a FASTA file is a good choice as these are compact. Now remember, when you expect the handle to contain one and only one record, use the `Bio.SeqIO.read()` function:

    from Bio import Entrez
    from Bio import SeqIO
    Entrez.email = "A.N.Other@example.com"
    handle = Entrez.efetch(db="nucleotide", rettype="fasta", retmode="text", id="6273291")
    seq_record = SeqIO.read(handle, "fasta")
    handle.close()
    print("%s with %i features" % (seq_record.id, len(seq_record.features)))

Expected output:

    gi|6273291|gb|AF191665.1|AF191665 with 0 features

The NCBI will also let you ask for the file in other formats, in particular as a GenBank file. Until Easter 2009, the Entrez EFetch API let you use “genbank” as the return type, however the NCBI now insist on using the official return types of “gb” (or “gp” for proteins) as described on EFetch for Sequence and other Molecular Biology Databases. As a result, in Biopython 1.50 onwards, we support “gb” as an alias for “genbank” in `Bio.SeqIO`.

    from Bio import Entrez
    from Bio import SeqIO
    Entrez.email = "A.N.Other@example.com"
    handle = Entrez.efetch(db="nucleotide", rettype="gb", retmode="text", id="6273291")
    seq_record = SeqIO.read(handle, "gb") #using "gb" as an alias for "genbank"
    handle.close()
    print("%s with %i features" % (seq_record.id, len(seq_record.features)))

The expected output of this example is:

    AF191665.1 with 3 features

Notice this time we have three features.

Now let’s fetch several records. This time the handle contains multiple records, so we must use the `Bio.SeqIO.parse()` function:

    from Bio import Entrez
    from Bio import SeqIO
    Entrez.email = "A.N.Other@example.com"
    handle = Entrez.efetch(db="nucleotide", rettype="gb", retmode="text", \
                           id="6273291,6273290,6273289")
    for seq_record in SeqIO.parse(handle, "gb"):
        print seq_record.id, seq_record.description[:50] + "..."
        print "Sequence length %i," % len(seq_record),
        print "%i features," % len(seq_record.features),
        print "from: %s" % seq_record.annotations["source"]
    handle.close()

That should give the following output:

    AF191665.1 Opuntia marenae rpl16 gene; chloroplast gene for c...
    Sequence length 902, 3 features, from: chloroplast Opuntia marenae
    AF191664.1 Opuntia clavata rpl16 gene; chloroplast gene for c...
    Sequence length 899, 3 features, from: chloroplast Grusonia clavata
    AF191663.1 Opuntia bradtiana rpl16 gene; chloroplast gene for...
    Sequence length 899, 3 features, from: chloroplast Opuntia bradtianaa

See Chapter 9 for more about the `Bio.Entrez` module, and make sure to read about the NCBI guidelines for using Entrez (Section 9.1).

### 5.3.2 Parsing SwissProt sequences from the net

Now let’s use a handle to download a SwissProt file from ExPASy, something covered in more depth in Chapter 10. As mentioned above, when you expect the handle to contain one and only one record, use the `Bio.SeqIO.read()` function:

    from Bio import ExPASy
    from Bio import SeqIO
    handle = ExPASy.get_sprot_raw("O23729")
    seq_record = SeqIO.read(handle, "swiss")
    handle.close()
    print(seq_record.id)
    print(seq_record.name)
    print(seq_record.description)
    print(repr(seq_record.seq))
    print("Length %i" % len(seq_record))
    print(seq_record.annotations["keywords"])

Assuming your network connection is OK, you should get back:

    O23729
    CHS3_BROFI
    RecName: Full=Chalcone synthase 3; EC=2.3.1.74; AltName: Full=Naringenin-chalcone synthase 3;
    Seq('MAPAMEEIRQAQRAEGPAAVLAIGTSTPPNALYQADYPDYYFRITKSEHLTELK...GAE', ProteinAlphabet())
    Length 394
    ['Acyltransferase', 'Flavonoid biosynthesis', 'Transferase']

## 5.4 Sequence files as Dictionaries

We’re now going to introduce three related functions in the `Bio.SeqIO` module which allow dictionary like random access to a multi-sequence file. There is a trade off here between flexibility and memory usage. In summary:

- `Bio.SeqIO.to_dict()` is the most flexible but also the most memory demanding option (see Section 5.4.1). This is basically a helper function to build a normal Python `dictionary` with each entry held as a `SeqRecord` object in memory, allowing you to modify the records.
- `Bio.SeqIO.index()` is a useful middle ground, acting like a read only dictionary and parsing sequences into `SeqRecord` objects on demand (see Section 5.4.2).
- `Bio.SeqIO.index_db()` also acts like a read only dictionary but stores the identifiers and file offsets in a file on disk (as an SQLite3 database), meaning it has very low memory requirements (see Section 5.4.3), but will be a little bit slower.

See the discussion for an broad overview (Section 5.4.5).

### 5.4.1 Sequence files as Dictionaries – In memory

The next thing that we’ll do with our ubiquitous orchid files is to show how to index them and access them like a database using the Python `dictionary` data type (like a hash in Perl). This is very useful for moderately large files where you only need to access certain elements of the file, and makes for a nice quick ’n dirty database. For dealing with larger files where memory becomes a problem, see Section 5.4.2 below.

You can use the function `Bio.SeqIO.to_dict()` to make a SeqRecord dictionary (in memory). By default this will use each record’s identifier (i.e. the `.id` attribute) as the key. Let’s try this using our GenBank file:

    >>> from Bio import SeqIO
    >>> orchid_dict = SeqIO.to_dict(SeqIO.parse("ls_orchid.gbk", "genbank"))

There is just one required argument for `Bio.SeqIO.to_dict()`, a list or generator giving `SeqRecord` objects. Here we have just used the output from the `SeqIO.parse` function. As the name suggests, this returns a Python dictionary.

Since this variable `orchid_dict` is an ordinary Python dictionary, we can look at all of the keys we have available:

    >>> len(orchid_dict)
    94

    >>> list(orchid_dict.keys())
    ['Z78484.1', 'Z78464.1', 'Z78455.1', 'Z78442.1', 'Z78532.1', 'Z78453.1', ..., 'Z78471.1']

You can leave out the “list(...)“ bit if you are still using Python 2. Under Python 3 the dictionary methods like “.keys()“ and “.values()“ are iterators rather than lists.

If you really want to, you can even look at all the records at once:

    >>> list(orchid_dict.values()) #lots of output!
    ...

We can access a single `SeqRecord` object via the keys and manipulate the object as normal:

    >>> seq_record = orchid_dict["Z78475.1"]
    >>> print(seq_record.description)
    P.supardii 5.8S rRNA gene and ITS1 and ITS2 DNA.
    >>> print(repr(seq_record.seq))
    Seq('CGTAACAAGGTTTCCGTAGGTGAACCTGCGGAAGGATCATTGTTGAGATCACAT...GGT', IUPACAmbiguousDNA())

So, it is very easy to create an in memory “database” of our GenBank records. Next we’ll try this for the FASTA file instead.

Note that those of you with prior Python experience should all be able to construct a dictionary like this “by hand”. However, typical dictionary construction methods will not deal with the case of repeated keys very nicely. Using the `Bio.SeqIO.to_dict()` will explicitly check for duplicate keys, and raise an exception if any are found.

#### 5.4.1.1 Specifying the dictionary keys

Using the same code as above, but for the FASTA file instead:

    from Bio import SeqIO
    orchid_dict = SeqIO.to_dict(SeqIO.parse("ls_orchid.fasta", "fasta"))
    print(orchid_dict.keys())

This time the keys are:

    ['gi|2765596|emb|Z78471.1|PDZ78471', 'gi|2765646|emb|Z78521.1|CCZ78521', ...
     ..., 'gi|2765613|emb|Z78488.1|PTZ78488', 'gi|2765583|emb|Z78458.1|PHZ78458']

You should recognise these strings from when we parsed the FASTA file earlier in Section 2.4.1. Suppose you would rather have something else as the keys - like the accession numbers. This brings us nicely to `SeqIO.to_dict()`’s optional argument `key_function`, which lets you define what to use as the dictionary key for your records.

First you must write your own function to return the key you want (as a string) when given a `SeqRecord` object. In general, the details of function will depend on the sort of input records you are dealing with. But for our orchids, we can just split up the record’s identifier using the “pipe” character (the vertical line) and return the fourth entry (field three):

    def get_accession(record):
        """"Given a SeqRecord, return the accession number as a string.

        e.g. "gi|2765613|emb|Z78488.1|PTZ78488" -> "Z78488.1"
        """
        parts = record.id.split("|")
        assert len(parts) == 5 and parts[0] == "gi" and parts[2] == "emb"
        return parts[3]

Then we can give this function to the `SeqIO.to_dict()` function to use in building the dictionary:

    from Bio import SeqIO
    orchid_dict = SeqIO.to_dict(SeqIO.parse("ls_orchid.fasta", "fasta"), key_function=get_accession)
    print(orchid_dict.keys())

Finally, as desired, the new dictionary keys:

    >>> print(orchid_dict.keys())
    ['Z78484.1', 'Z78464.1', 'Z78455.1', 'Z78442.1', 'Z78532.1', 'Z78453.1', ..., 'Z78471.1']

Not too complicated, I hope!

#### 5.4.1.2 Indexing a dictionary using the SEGUID checksum

To give another example of working with dictionaries of `SeqRecord` objects, we’ll use the SEGUID checksum function. This is a relatively recent checksum, and collisions should be very rare (i.e. two different sequences with the same checksum), an improvement on the CRC64 checksum.

Once again, working with the orchids GenBank file:

    from Bio import SeqIO
    from Bio.SeqUtils.CheckSum import seguid
    for record in SeqIO.parse("ls_orchid.gbk", "genbank"):
        print(record.id, seguid(record.seq))

This should give:

    Z78533.1 JUEoWn6DPhgZ9nAyowsgtoD9TTo
    Z78532.1 MN/s0q9zDoCVEEc+k/IFwCNF2pY
    ...
    Z78439.1 H+JfaShya/4yyAj7IbMqgNkxdxQ

Now, recall the `Bio.SeqIO.to_dict()` function’s `key_function` argument expects a function which turns a `SeqRecord` into a string. We can’t use the `seguid()` function directly because it expects to be given a `Seq` object (or a string). However, we can use Python’s `lambda` feature to create a “one off” function to give to `Bio.SeqIO.to_dict()` instead:

    >>> from Bio import SeqIO
    >>> from Bio.SeqUtils.CheckSum import seguid
    >>> seguid_dict = SeqIO.to_dict(SeqIO.parse("ls_orchid.gbk", "genbank"),
    ...                             lambda rec : seguid(rec.seq))
    >>> record = seguid_dict["MN/s0q9zDoCVEEc+k/IFwCNF2pY"]
    >>> print(record.id)
    Z78532.1
    >>> print(record.description)
    C.californicum 5.8S rRNA gene and ITS1 and ITS2 DNA.

That should have retrieved the record `Z78532.1`, the second entry in the file.

### 5.4.2 Sequence files as Dictionaries – Indexed files

As the previous couple of examples tried to illustrate, using `Bio.SeqIO.to_dict()` is very flexible. However, because it holds everything in memory, the size of file you can work with is limited by your computer’s RAM. In general, this will only work on small to medium files.

For larger files you should consider `Bio.SeqIO.index()`, which works a little differently. Although it still returns a dictionary like object, this does not keep everything in memory. Instead, it just records where each record is within the file – when you ask for a particular record, it then parses it on demand.

As an example, let’s use the same GenBank file as before:

    >>> from Bio import SeqIO
    >>> orchid_dict = SeqIO.index("ls_orchid.gbk", "genbank")
    >>> len(orchid_dict)
    94

    >>> orchid_dict.keys()
    ['Z78484.1', 'Z78464.1', 'Z78455.1', 'Z78442.1', 'Z78532.1', 'Z78453.1', ..., 'Z78471.1']

    >>> seq_record = orchid_dict["Z78475.1"]
    >>> print(seq_record.description)
    P.supardii 5.8S rRNA gene and ITS1 and ITS2 DNA.
    >>> seq_record.seq
    Seq('CGTAACAAGGTTTCCGTAGGTGAACCTGCGGAAGGATCATTGTTGAGATCACAT...GGT', IUPACAmbiguousDNA())
    >>> orchid_dict.close()

Note that `Bio.SeqIO.index()` won’t take a handle, but only a filename. There are good reasons for this, but it is a little technical. The second argument is the file format (a lower case string as used in the other `Bio.SeqIO` functions). You can use many other simple file formats, including FASTA and FASTQ files (see the example in Section 18.1.11). However, alignment formats like PHYLIP or Clustal are not supported. Finally as an optional argument you can supply an alphabet, or a key function.

Here is the same example using the FASTA file - all we change is the filename and the format name:

    >>> from Bio import SeqIO
    >>> orchid_dict = SeqIO.index("ls_orchid.fasta", "fasta")
    >>> len(orchid_dict)
    94
    >>> orchid_dict.keys()
    ['gi|2765596|emb|Z78471.1|PDZ78471', 'gi|2765646|emb|Z78521.1|CCZ78521', ...
     ..., 'gi|2765613|emb|Z78488.1|PTZ78488', 'gi|2765583|emb|Z78458.1|PHZ78458']

#### 5.4.2.1 Specifying the dictionary keys

Suppose you want to use the same keys as before? Much like with the `Bio.SeqIO.to_dict()` example in Section 5.4.1.1, you’ll need to write a tiny function to map from the FASTA identifier (as a string) to the key you want:

    def get_acc(identifier):
        """"Given a SeqRecord identifier string, return the accession number as a string.

        e.g. "gi|2765613|emb|Z78488.1|PTZ78488" -> "Z78488.1"
        """
        parts = identifier.split("|")
        assert len(parts) == 5 and parts[0] == "gi" and parts[2] == "emb"
        return parts[3]

Then we can give this function to the `Bio.SeqIO.index()` function to use in building the dictionary:

    >>> from Bio import SeqIO
    >>> orchid_dict = SeqIO.index("ls_orchid.fasta", "fasta", key_function=get_acc)
    >>> print(orchid_dict.keys())
    ['Z78484.1', 'Z78464.1', 'Z78455.1', 'Z78442.1', 'Z78532.1', 'Z78453.1', ..., 'Z78471.1']

Easy when you know how?

#### 5.4.2.2 Getting the raw data for a record

The dictionary-like object from `Bio.SeqIO.index()` gives you each entry as a `SeqRecord` object. However, it is sometimes useful to be able to get the original raw data straight from the file. For this use the `get_raw()` method which takes a single argument (the record identifier) and returns a string (extracted from the file without modification).

A motivating example is extracting a subset of a records from a large file where either `Bio.SeqIO.write()` does not (yet) support the output file format (e.g. the plain text SwissProt file format) or where you need to preserve the text exactly (e.g. GenBank or EMBL output from Biopython does not yet preserve every last bit of annotation).

Let’s suppose you have download the whole of UniProt in the plain text SwissPort file format from their FTP site (`ftp://ftp.uniprot.org/pub/databases/uniprot/current_release/knowledgebase/complete/uniprot_sprot.dat.gz`) and uncompressed it as the file `uniprot_sprot.dat`, and you want to extract just a few records from it:

    >>> from Bio import SeqIO
    >>> uniprot = SeqIO.index("uniprot_sprot.dat", "swiss")
    >>> handle = open("selected.dat", "w")
    >>> for acc in ["P33487", "P19801", "P13689", "Q8JZQ5", "Q9TRC7"]:
    ...     handle.write(uniprot.get_raw(acc))
    >>> handle.close()

There is a longer example in Section 18.1.5 using the `SeqIO.index()` function to sort a large sequence file (without loading everything into memory at once).

### 5.4.3 Sequence files as Dictionaries – Database indexed files

Biopython 1.57 introduced an alternative, `Bio.SeqIO.index_db()`, which can work on even extremely large files since it stores the record information as a file on disk (using an SQLite3 database) rather than in memory. Also, you can index multiple files together (providing all the record identifiers are unique).

The `Bio.SeqIO.index()` function takes three required arguments:

- Index filename, we suggest using something ending `.idx`. This index file is actually an SQLite3 database.
- List of sequence filenames to index (or a single filename)
- File format (lower case string as used in the rest of the `SeqIO` module).

As an example, consider the GenBank flat file releases from the NCBI FTP site, `ftp://ftp.ncbi.nih.gov/genbank/`, which are gzip compressed GenBank files. As of GenBank release 182, there are 16 files making up the viral sequences, `gbvrl1.seq`, …, `gbvrl16.seq`, containing in total almost one million records. You can index them like this:

    >>> from Bio import SeqIO
    >>> files = ["gbvrl%i.seq" % (i+1) for i in range(16)]
    >>> gb_vrl = SeqIO.index_db("gbvrl.idx", files, "genbank")
    >>> print("%i sequences indexed" % len(gb_vrl))
    958086 sequences indexed

That takes about two minutes to run on my machine. If you rerun it then the index file (here `gbvrl.idx`) is reloaded in under a second. You can use the index as a read only Python dictionary - without having to worry about which file the sequence comes from, e.g.

    >>> print(gb_vrl["GQ333173.1"].description)
    HIV-1 isolate F12279A1 from Uganda gag protein (gag) gene, partial cds.

#### 5.4.3.1 Getting the raw data for a record

Just as with the `Bio.SeqIO.index()` function discussed above in Section 5.4.2.2, the dictionary like object also lets you get at the raw text of each record:

    >>> print(gb_vrl.get_raw("GQ333173.1"))
    LOCUS       GQ333173                 459 bp    DNA     linear   VRL 21-OCT-2009
    DEFINITION  HIV-1 isolate F12279A1 from Uganda gag protein (gag) gene, partial
                cds.
    ACCESSION   GQ333173
    ...
    //

### 5.4.4 Indexing compressed files

Very often when you are indexing a sequence file it can be quite large – so you may want to compress it on disk. Unfortunately efficient random access is difficult with the more common file formats like gzip and bzip2. In this setting, BGZF (Blocked GNU Zip Format) can be very helpful. This is a variant of gzip (and can be decompressed using standard gzip tools) popularised by the BAM file format, samtools, and tabix.

To create a BGZF compressed file you can use the command line tool `bgzip` which comes with samtools. In our examples we use a filename extension `*.bgz`, so they can be distinguished from normal gzipped files (named `*.gz`). You can also use the `Bio.bgzf` module to read and write BGZF files from within Python.

The `Bio.SeqIO.index()` and `Bio.SeqIO.index_db()` can both be used with BGZF compressed files. For example, if you started with an uncompressed GenBank file:

    >>> from Bio import SeqIO
    >>> orchid_dict = SeqIO.index("ls_orchid.gbk", "genbank")
    >>> len(orchid_dict)
    94
    >>> orchid_dict.close()

You could compress this (while keeping the original file) at the command line using the following command – but don’t worry, the compressed file is already included with the other example files:

    $ bgzip -c ls_orchid.gbk > ls_orchid.gbk.bgz

You can use the compressed file in exactly the same way:

    >>> from Bio import SeqIO
    >>> orchid_dict = SeqIO.index("ls_orchid.gbk.bgz", "genbank")
    >>> len(orchid_dict)
    94
    >>> orchid_dict.close()

or:

    >>> from Bio import SeqIO
    >>> orchid_dict = SeqIO.index_db("ls_orchid.gbk.bgz.idx", "ls_orchid.gbk.bgz", "genbank")
    >>> len(orchid_dict)
    94
    >>> orchid_dict.close()

The `SeqIO` indexing automatically detects the BGZF compression. Note that you can’t use the same index file for the uncompressed and compressed files.

### 5.4.5 Discussion

So, which of these methods should you use and why? It depends on what you are trying to do (and how much data you are dealing with). However, in general picking `Bio.SeqIO.index()` is a good starting point. If you are dealing with millions of records, multiple files, or repeated analyses, then look at `Bio.SeqIO.index_db()`.

Reasons to choose `Bio.SeqIO.to_dict()` over either `Bio.SeqIO.index()` or `Bio.SeqIO.index_db()` boil down to a need for flexibility despite its high memory needs. The advantage of storing the `SeqRecord` objects in memory is they can be changed, added to, or removed at will. In addition to the downside of high memory consumption, indexing can also take longer because all the records must be fully parsed.

Both `Bio.SeqIO.index()` and `Bio.SeqIO.index_db()` only parse records on demand. When indexing, they scan the file once looking for the start of each record and do as little work as possible to extract the identifier.

Reasons to choose `Bio.SeqIO.index()` over `Bio.SeqIO.index_db()` include:

- Faster to build the index (more noticeable in simple file formats)
- Slightly faster access as SeqRecord objects (but the difference is only really noticeable for simple to parse file formats).
- Can use any immutable Python object as the dictionary keys (e.g. a tuple of strings, or a frozen set) not just strings.
- Don’t need to worry about the index database being out of date if the sequence file being indexed has changed.

Reasons to choose `Bio.SeqIO.index_db()` over `Bio.SeqIO.index()` include:

- Not memory limited – this is already important with files from second generation sequencing where 10s of millions of sequences are common, and using `Bio.SeqIO.index()` can require more than 4GB of RAM and therefore a 64bit version of Python.
- Because the index is kept on disk, it can be reused. Although building the index database file takes longer, if you have a script which will be rerun on the same datafiles in future, this could save time in the long run.
- Indexing multiple files together
- The `get_raw()` method can be much faster, since for most file formats the length of each record is stored as well as its offset.

## 5.5 Writing Sequence Files

We’ve talked about using `Bio.SeqIO.parse()` for sequence input (reading files), and now we’ll look at `Bio.SeqIO.write()` which is for sequence output (writing files). This is a function taking three arguments: some `SeqRecord` objects, a handle or filename to write to, and a sequence format.

Here is an example, where we start by creating a few `SeqRecord` objects the hard way (by hand, rather than by loading them from a file):

    from Bio.Seq import Seq
    from Bio.SeqRecord import SeqRecord
    from Bio.Alphabet import generic_protein

    rec1 = SeqRecord(Seq("MMYQQGCFAGGTVLRLAKDLAENNRGARVLVVCSEITAVTFRGPSETHLDSMVGQALFGD" \
                        +"GAGAVIVGSDPDLSVERPLYELVWTGATLLPDSEGAIDGHLREVGLTFHLLKDVPGLISK" \
                        +"NIEKSLKEAFTPLGISDWNSTFWIAHPGGPAILDQVEAKLGLKEEKMRATREVLSEYGNM" \
                        +"SSAC", generic_protein),
                     id="gi|14150838|gb|AAK54648.1|AF376133_1",
                     description="chalcone synthase [Cucumis sativus]")

    rec2 = SeqRecord(Seq("YPDYYFRITNREHKAELKEKFQRMCDKSMIKKRYMYLTEEILKENPSMCEYMAPSLDARQ" \
                        +"DMVVVEIPKLGKEAAVKAIKEWGQ", generic_protein),
                     id="gi|13919613|gb|AAK33142.1|",
                     description="chalcone synthase [Fragaria vesca subsp. bracteata]")

    rec3 = SeqRecord(Seq("MVTVEEFRRAQCAEGPATVMAIGTATPSNCVDQSTYPDYYFRITNSEHKVELKEKFKRMC" \
                        +"EKSMIKKRYMHLTEEILKENPNICAYMAPSLDARQDIVVVEVPKLGKEAAQKAIKEWGQP" \
                        +"KSKITHLVFCTTSGVDMPGCDYQLTKLLGLRPSVKRFMMYQQGCFAGGTVLRMAKDLAEN" \
                        +"NKGARVLVVCSEITAVTFRGPNDTHLDSLVGQALFGDGAAAVIIGSDPIPEVERPLFELV" \
                        +"SAAQTLLPDSEGAIDGHLREVGLTFHLLKDVPGLISKNIEKSLVEAFQPLGISDWNSLFW" \
                        +"IAHPGGPAILDQVELKLGLKQEKLKATRKVLSNYGNMSSACVLFILDEMRKASAKEGLGT" \
                        +"TGEGLEWGVLFGFGPGLTVETVVLHSVAT", generic_protein),
                     id="gi|13925890|gb|AAK49457.1|",
                     description="chalcone synthase [Nicotiana tabacum]")

    my_records = [rec1, rec2, rec3]

Now we have a list of `SeqRecord` objects, we’ll write them to a FASTA format file:

    from Bio import SeqIO
    SeqIO.write(my_records, "my_example.faa", "fasta")

And if you open this file in your favourite text editor it should look like this:

    >gi|14150838|gb|AAK54648.1|AF376133_1 chalcone synthase [Cucumis sativus]
    MMYQQGCFAGGTVLRLAKDLAENNRGARVLVVCSEITAVTFRGPSETHLDSMVGQALFGD
    GAGAVIVGSDPDLSVERPLYELVWTGATLLPDSEGAIDGHLREVGLTFHLLKDVPGLISK
    NIEKSLKEAFTPLGISDWNSTFWIAHPGGPAILDQVEAKLGLKEEKMRATREVLSEYGNM
    SSAC
    >gi|13919613|gb|AAK33142.1| chalcone synthase [Fragaria vesca subsp. bracteata]
    YPDYYFRITNREHKAELKEKFQRMCDKSMIKKRYMYLTEEILKENPSMCEYMAPSLDARQ
    DMVVVEIPKLGKEAAVKAIKEWGQ
    >gi|13925890|gb|AAK49457.1| chalcone synthase [Nicotiana tabacum]
    MVTVEEFRRAQCAEGPATVMAIGTATPSNCVDQSTYPDYYFRITNSEHKVELKEKFKRMC
    EKSMIKKRYMHLTEEILKENPNICAYMAPSLDARQDIVVVEVPKLGKEAAQKAIKEWGQP
    KSKITHLVFCTTSGVDMPGCDYQLTKLLGLRPSVKRFMMYQQGCFAGGTVLRMAKDLAEN
    NKGARVLVVCSEITAVTFRGPNDTHLDSLVGQALFGDGAAAVIIGSDPIPEVERPLFELV
    SAAQTLLPDSEGAIDGHLREVGLTFHLLKDVPGLISKNIEKSLVEAFQPLGISDWNSLFW
    IAHPGGPAILDQVELKLGLKQEKLKATRKVLSNYGNMSSACVLFILDEMRKASAKEGLGT
    TGEGLEWGVLFGFGPGLTVETVVLHSVAT

Suppose you wanted to know how many records the `Bio.SeqIO.write()` function wrote to the handle? If your records were in a list you could just use `len(my_records)`, however you can’t do that when your records come from a generator/iterator. The `Bio.SeqIO.write()` function returns the number of `SeqRecord` objects written to the file.

Note - If you tell the `Bio.SeqIO.write()` function to write to a file that already exists, the old file will be overwritten without any warning.

### 5.5.1 Round trips

Some people like their parsers to be “round-tripable”, meaning if you read in a file and write it back out again it is unchanged. This requires that the parser must extract enough information to reproduce the original file exactly. `Bio.SeqIO` does not aim to do this.

As a trivial example, any line wrapping of the sequence data in FASTA files is allowed. An identical `SeqRecord` would be given from parsing the following two examples which differ only in their line breaks:

    >YAL068C-7235.2170 Putative promoter sequence
    TACGAGAATAATTTCTCATCATCCAGCTTTAACACAAAATTCGCACAGTTTTCGTTAAGA
    GAACTTAACATTTTCTTATGACGTAAATGAAGTTTATATATAAATTTCCTTTTTATTGGA

    >YAL068C-7235.2170 Putative promoter sequence
    TACGAGAATAATTTCTCATCATCCAGCTTTAACACAAAATTCGCA
    CAGTTTTCGTTAAGAGAACTTAACATTTTCTTATGACGTAAATGA
    AGTTTATATATAAATTTCCTTTTTATTGGA

To make a round-tripable FASTA parser you would need to keep track of where the sequence line breaks occurred, and this extra information is usually pointless. Instead Biopython uses a default line wrapping of 60 characters on output. The same problem with white space applies in many other file formats too. Another issue in some cases is that Biopython does not (yet) preserve every last bit of annotation (e.g. GenBank and EMBL).

Occasionally preserving the original layout (with any quirks it may have) is important. See Section 5.4.2.2 about the `get_raw()` method of the `Bio.SeqIO.index()` dictionary-like object for one potential solution.

### 5.5.2 Converting between sequence file formats

In previous example we used a list of `SeqRecord` objects as input to the `Bio.SeqIO.write()` function, but it will also accept a `SeqRecord` iterator like we get from `Bio.SeqIO.parse()` – this lets us do file conversion by combining these two functions.

For this example we’ll read in the GenBank format file ls_orchid.gbk and write it out in FASTA format:

    from Bio import SeqIO
    records = SeqIO.parse("ls_orchid.gbk", "genbank")
    count = SeqIO.write(records, "my_example.fasta", "fasta")
    print("Converted %i records" % count)

Still, that is a little bit complicated. So, because file conversion is such a common task, there is a helper function letting you replace that with just:

    from Bio import SeqIO
    count = SeqIO.convert("ls_orchid.gbk", "genbank", "my_example.fasta", "fasta")
    print("Converted %i records" % count)

The `Bio.SeqIO.convert()` function will take handles or filenames. Watch out though – if the output file already exists, it will overwrite it! To find out more, see the built in help:

    >>> from Bio import SeqIO
    >>> help(SeqIO.convert)
    ...

In principle, just by changing the filenames and the format names, this code could be used to convert between any file formats available in Biopython. However, writing some formats requires information (e.g. quality scores) which other files formats don’t contain. For example, while you can turn a FASTQ file into a FASTA file, you can’t do the reverse. See also Sections 18.1.9 and 18.1.10 in the cookbook chapter which looks at inter-converting between different FASTQ formats.

Finally, as an added incentive for using the `Bio.SeqIO.convert()` function (on top of the fact your code will be shorter), doing it this way may also be faster! The reason for this is the convert function can take advantage of several file format specific optimisations and tricks.

### 5.5.3 Converting a file of sequences to their reverse complements

Suppose you had a file of nucleotide sequences, and you wanted to turn it into a file containing their reverse complement sequences. This time a little bit of work is required to transform the `SeqRecord` objects we get from our input file into something suitable for saving to our output file.

To start with, we’ll use `Bio.SeqIO.parse()` to load some nucleotide sequences from a file, then print out their reverse complements using the `Seq` object’s built in `.reverse_complement()` method (see Section 3.7):

    >>> from Bio import SeqIO
    >>> for record in SeqIO.parse("ls_orchid.gbk", "genbank"):
    ...     print(record.id)
    ...     print(record.seq.reverse_complement())

Now, if we want to save these reverse complements to a file, we’ll need to make `SeqRecord` objects. We can use the `SeqRecord` object’s built in `.reverse_complement()` method (see Section 4.8) but we must decide how to name our new records.

This is an excellent place to demonstrate the power of list comprehensions which make a list in memory:

    >>> from Bio import SeqIO
    >>> records = [rec.reverse_complement(id="rc_"+rec.id, description = "reverse complement") \
    ...            for rec in SeqIO.parse("ls_orchid.fasta", "fasta")]
    >>> len(records)
    94

Now list comprehensions have a nice trick up their sleeves, you can add a conditional statement:

    >>> records = [rec.reverse_complement(id="rc_"+rec.id, description = "reverse complement") \
    ...            for rec in SeqIO.parse("ls_orchid.fasta", "fasta") if len(rec)<700]
    >>> len(records)
    18

That would create an in memory list of reverse complement records where the sequence length was under 700 base pairs. However, we can do exactly the same with a generator expression - but with the advantage that this does not create a list of all the records in memory at once:

    >>> records = (rec.reverse_complement(id="rc_"+rec.id, description = "reverse complement") \
    ...           for rec in SeqIO.parse("ls_orchid.fasta", "fasta") if len(rec)<700)

As a complete example:

    >>> from Bio import SeqIO
    >>> records = (rec.reverse_complement(id="rc_"+rec.id, description = "reverse complement") \
    ...            for rec in SeqIO.parse("ls_orchid.fasta", "fasta") if len(rec)<700)
    >>> SeqIO.write(records, "rev_comp.fasta", "fasta")
    18

There is a related example in Section 18.1.3, translating each record in a FASTA file from nucleotides to amino acids.

### 5.5.4 Getting your SeqRecord objects as formatted strings

Suppose that you don’t really want to write your records to a file or handle – instead you want a string containing the records in a particular file format. The `Bio.SeqIO` interface is based on handles, but Python has a useful built in module which provides a string based handle.

For an example of how you might use this, let’s load in a bunch of `SeqRecord` objects from our orchids GenBank file, and create a string containing the records in FASTA format:

    from Bio import SeqIO
    from StringIO import StringIO
    records = SeqIO.parse("ls_orchid.gbk", "genbank")
    out_handle = StringIO()
    SeqIO.write(records, out_handle, "fasta")
    fasta_data = out_handle.getvalue()
    print(fasta_data)

This isn’t entirely straightforward the first time you see it! On the bright side, for the special case where you would like a string containing a single record in a particular file format, use the the `SeqRecord` class’ `format()` method (see Section 4.5).

Note that although we don’t encourage it, you can use the `format()` method to write to a file, for example something like this:

    from Bio import SeqIO
    out_handle = open("ls_orchid_long.tab", "w")
    for record in SeqIO.parse("ls_orchid.gbk", "genbank"):
        if len(record) > 100:
            out_handle.write(record.format("tab"))
    out_handle.close()

While this style of code will work for a simple sequential file format like FASTA or the simple tab separated format used here, it will not work for more complex or interlaced file formats. This is why we still recommend using `Bio.SeqIO.write()`, as in the following example:

    from Bio import SeqIO
    records = (rec for rec in SeqIO.parse("ls_orchid.gbk", "genbank") if len(rec) > 100)
    SeqIO.write(records, "ls_orchid.tab", "tab")

Making a single call to `SeqIO.write(...)` is also much quicker than multiple calls to the `SeqRecord.format(...)` method.

# Chapter 6 Multiple Sequence Alignment objects

This chapter is about Multiple Sequence Alignments, by which we mean a collection of multiple sequences which have been aligned together – usually with the insertion of gap characters, and addition of leading or trailing gaps – such that all the sequence strings are the same length. Such an alignment can be regarded as a matrix of letters, where each row is held as a `SeqRecord` object internally.

We will introduce the `MultipleSeqAlignment` object which holds this kind of data, and the `Bio.AlignIO` module for reading and writing them as various file formats (following the design of the `Bio.SeqIO` module from the previous chapter). Note that both `Bio.SeqIO` and `Bio.AlignIO` can read and write sequence alignment files. The appropriate choice will depend largely on what you want to do with the data.

The final part of this chapter is about our command line wrappers for common multiple sequence alignment tools like ClustalW and MUSCLE.

## 6.1 Parsing or Reading Sequence Alignments

We have two functions for reading in sequence alignments, `Bio.AlignIO.read()` and `Bio.AlignIO.parse()` which following the convention introduced in `Bio.SeqIO` are for files containing one or multiple alignments respectively.

Using `Bio.AlignIO.parse()` will return an iterator which gives `MultipleSeqAlignment` objects. Iterators are typically used in a for loop. Examples of situations where you will have multiple different alignments include resampled alignments from the PHYLIP tool `seqboot`, or multiple pairwise alignments from the EMBOSS tools `water` or `needle`, or Bill Pearson’s FASTA tools.

However, in many situations you will be dealing with files which contain only a single alignment. In this case, you should use the `Bio.AlignIO.read()` function which returns a single `MultipleSeqAlignment` object.

Both functions expect two mandatory arguments:

1. The first argument is a handle to read the data from, typically an open file (see Section 22.1), or a filename.
2. The second argument is a lower case string specifying the alignment format. As in `Bio.SeqIO` we don’t try and guess the file format for you! See `http://biopython.org/wiki/AlignIO` for a full listing of supported formats.

There is also an optional `seq_count` argument which is discussed in Section 6.1.3 below for dealing with ambiguous file formats which may contain more than one alignment.

A further optional `alphabet` argument allowing you to specify the expected alphabet. This can be useful as many alignment file formats do not explicitly label the sequences as RNA, DNA or protein – which means `Bio.AlignIO` will default to using a generic alphabet.

### 6.1.1 Single Alignments

As an example, consider the following annotation rich protein alignment in the PFAM or Stockholm file format:

    # STOCKHOLM 1.0
    #=GS COATB_BPIKE/30-81  AC P03620.1
    #=GS COATB_BPIKE/30-81  DR PDB; 1ifl ; 1-52;
    #=GS Q9T0Q8_BPIKE/1-52  AC Q9T0Q8.1
    #=GS COATB_BPI22/32-83  AC P15416.1
    #=GS COATB_BPM13/24-72  AC P69541.1
    #=GS COATB_BPM13/24-72  DR PDB; 2cpb ; 1-49;
    #=GS COATB_BPM13/24-72  DR PDB; 2cps ; 1-49;
    #=GS COATB_BPZJ2/1-49   AC P03618.1
    #=GS Q9T0Q9_BPFD/1-49   AC Q9T0Q9.1
    #=GS Q9T0Q9_BPFD/1-49   DR PDB; 1nh4 A; 1-49;
    #=GS COATB_BPIF1/22-73  AC P03619.2
    #=GS COATB_BPIF1/22-73  DR PDB; 1ifk ; 1-50;
    COATB_BPIKE/30-81             AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIRLFKKFSSKA
    #=GR COATB_BPIKE/30-81  SS    -HHHHHHHHHHHHHH--HHHHHHHH--HHHHHHHHHHHHHHHHHHHHH----
    Q9T0Q8_BPIKE/1-52             AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIKLFKKFVSRA
    COATB_BPI22/32-83             DGTSTATSYATEAMNSLKTQATDLIDQTWPVVTSVAVAGLAIRLFKKFSSKA
    COATB_BPM13/24-72             AEGDDP...AKAAFNSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA
    #=GR COATB_BPM13/24-72  SS    ---S-T...CHCHHHHCCCCTCCCTTCHHHHHHHHHHHHHHHHHHHHCTT--
    COATB_BPZJ2/1-49              AEGDDP...AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFASKA
    Q9T0Q9_BPFD/1-49              AEGDDP...AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA
    #=GR Q9T0Q9_BPFD/1-49   SS    ------...-HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH--
    COATB_BPIF1/22-73             FAADDATSQAKAAFDSLTAQATEMSGYAWALVVLVVGATVGIKLFKKFVSRA
    #=GR COATB_BPIF1/22-73  SS    XX-HHHH--HHHHHH--HHHHHHH--HHHHHHHHHHHHHHHHHHHHHHH---
    #=GC SS_cons                  XHHHHHHHHHHHHHHHCHHHHHHHHCHHHHHHHHHHHHHHHHHHHHHHHC--
    #=GC seq_cons                 AEssss...AptAhDSLpspAT-hIu.sWshVsslVsAsluIKLFKKFsSKA
    //

This is the seed alignment for the Phage_Coat_Gp8 (PF05371) PFAM entry, downloaded from a now out of date release of PFAM from `http://pfam.sanger.ac.uk/`. We can load this file as follows (assuming it has been saved to disk as “PF05371_seed.sth” in the current working directory):

    >>> from Bio import AlignIO
    >>> alignment = AlignIO.read("PF05371_seed.sth", "stockholm")

This code will print out a summary of the alignment:

    >>> print(alignment)
    SingleLetterAlphabet() alignment with 7 rows and 52 columns
    AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIRL...SKA COATB_BPIKE/30-81
    AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIKL...SRA Q9T0Q8_BPIKE/1-52
    DGTSTATSYATEAMNSLKTQATDLIDQTWPVVTSVAVAGLAIRL...SKA COATB_BPI22/32-83
    AEGDDP---AKAAFNSLQASATEYIGYAWAMVVVIVGATIGIKL...SKA COATB_BPM13/24-72
    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKL...SKA COATB_BPZJ2/1-49
    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKL...SKA Q9T0Q9_BPFD/1-49
    FAADDATSQAKAAFDSLTAQATEMSGYAWALVVLVVGATVGIKL...SRA COATB_BPIF1/22-73

You’ll notice in the above output the sequences have been truncated. We could instead write our own code to format this as we please by iterating over the rows as `SeqRecord` objects:

    >>> from Bio import AlignIO
    >>> alignment = AlignIO.read("PF05371_seed.sth", "stockholm")
    >>> print("Alignment length %i" % alignment.get_alignment_length())
    Alignment length 52
    >>> for record in alignment:
    ...     print("%s - %s" % (record.seq, record.id))
    AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIRLFKKFSSKA - COATB_BPIKE/30-81
    AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIKLFKKFVSRA - Q9T0Q8_BPIKE/1-52
    DGTSTATSYATEAMNSLKTQATDLIDQTWPVVTSVAVAGLAIRLFKKFSSKA - COATB_BPI22/32-83
    AEGDDP---AKAAFNSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA - COATB_BPM13/24-72
    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFASKA - COATB_BPZJ2/1-49
    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA - Q9T0Q9_BPFD/1-49
    FAADDATSQAKAAFDSLTAQATEMSGYAWALVVLVVGATVGIKLFKKFVSRA - COATB_BPIF1/22-73

You could also use the alignment object’s `format` method to show it in a particular file format – see Section 6.2.2 for details.

Did you notice in the raw file above that several of the sequences include database cross-references to the PDB and the associated known secondary structure? Try this:

    >>> for record in alignment:
    ...     if record.dbxrefs:
    ...         print("%s %s" % (record.id, record.dbxrefs))
    COATB_BPIKE/30-81 ['PDB; 1ifl ; 1-52;']
    COATB_BPM13/24-72 ['PDB; 2cpb ; 1-49;', 'PDB; 2cps ; 1-49;']
    Q9T0Q9_BPFD/1-49 ['PDB; 1nh4 A; 1-49;']
    COATB_BPIF1/22-73 ['PDB; 1ifk ; 1-50;']

To have a look at all the sequence annotation, try this:

    >>> for record in alignment:
    ...     print(record)

Sanger provide a nice web interface at `http://pfam.sanger.ac.uk/family?acc=PF05371` which will actually let you download this alignment in several other formats. This is what the file looks like in the FASTA file format:

    >COATB_BPIKE/30-81
    AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIRLFKKFSSKA
    >Q9T0Q8_BPIKE/1-52
    AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIKLFKKFVSRA
    >COATB_BPI22/32-83
    DGTSTATSYATEAMNSLKTQATDLIDQTWPVVTSVAVAGLAIRLFKKFSSKA
    >COATB_BPM13/24-72
    AEGDDP---AKAAFNSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA
    >COATB_BPZJ2/1-49
    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFASKA
    >Q9T0Q9_BPFD/1-49
    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA
    >COATB_BPIF1/22-73
    FAADDATSQAKAAFDSLTAQATEMSGYAWALVVLVVGATVGIKLFKKFVSRA

Note the website should have an option about showing gaps as periods (dots) or dashes, we’ve shown dashes above. Assuming you download and save this as file “PF05371_seed.faa” then you can load it with almost exactly the same code:

    from Bio import AlignIO
    alignment = AlignIO.read("PF05371_seed.faa", "fasta")
    print(alignment)

All that has changed in this code is the filename and the format string. You’ll get the same output as before, the sequences and record identifiers are the same. However, as you should expect, if you check each `SeqRecord` there is no annotation nor database cross-references because these are not included in the FASTA file format.

Note that rather than using the Sanger website, you could have used `Bio.AlignIO` to convert the original Stockholm format file into a FASTA file yourself (see below).

With any supported file format, you can load an alignment in exactly the same way just by changing the format string. For example, use “phylip” for PHYLIP files, “nexus” for NEXUS files or “emboss” for the alignments output by the EMBOSS tools. There is a full listing on the wiki page (`http://biopython.org/wiki/AlignIO`) and in the built in documentation (also online):

    >>> from Bio import AlignIO
    >>> help(AlignIO)
    ...

### 6.1.2 Multiple Alignments

The previous section focused on reading files containing a single alignment. In general however, files can contain more than one alignment, and to read these files we must use the `Bio.AlignIO.parse()` function.

Suppose you have a small alignment in PHYLIP format:

        5    6
    Alpha     AACAAC
    Beta      AACCCC
    Gamma     ACCAAC
    Delta     CCACCA
    Epsilon   CCAAAC

If you wanted to bootstrap a phylogenetic tree using the PHYLIP tools, one of the steps would be to create a set of many resampled alignments using the tool `bootseq`. This would give output something like this, which has been abbreviated for conciseness:

        5     6
    Alpha     AAACCA
    Beta      AAACCC
    Gamma     ACCCCA
    Delta     CCCAAC
    Epsilon   CCCAAA
        5     6
    Alpha     AAACAA
    Beta      AAACCC
    Gamma     ACCCAA
    Delta     CCCACC
    Epsilon   CCCAAA
        5     6
    Alpha     AAAAAC
    Beta      AAACCC
    Gamma     AACAAC
    Delta     CCCCCA
    Epsilon   CCCAAC
    ...
        5     6
    Alpha     AAAACC
    Beta      ACCCCC
    Gamma     AAAACC
    Delta     CCCCAA
    Epsilon   CAAACC

If you wanted to read this in using `Bio.AlignIO` you could use:

    from Bio import AlignIO
    alignments = AlignIO.parse("resampled.phy", "phylip")
    for alignment in alignments:
        print(alignment)
        print("")

This would give the following output, again abbreviated for display:

    SingleLetterAlphabet() alignment with 5 rows and 6 columns
    AAACCA Alpha
    AAACCC Beta
    ACCCCA Gamma
    CCCAAC Delta
    CCCAAA Epsilon

    SingleLetterAlphabet() alignment with 5 rows and 6 columns
    AAACAA Alpha
    AAACCC Beta
    ACCCAA Gamma
    CCCACC Delta
    CCCAAA Epsilon

    SingleLetterAlphabet() alignment with 5 rows and 6 columns
    AAAAAC Alpha
    AAACCC Beta
    AACAAC Gamma
    CCCCCA Delta
    CCCAAC Epsilon

    ...

    SingleLetterAlphabet() alignment with 5 rows and 6 columns
    AAAACC Alpha
    ACCCCC Beta
    AAAACC Gamma
    CCCCAA Delta
    CAAACC Epsilon

As with the function `Bio.SeqIO.parse()`, using `Bio.AlignIO.parse()` returns an iterator. If you want to keep all the alignments in memory at once, which will allow you to access them in any order, then turn the iterator into a list:

    from Bio import AlignIO
    alignments = list(AlignIO.parse("resampled.phy", "phylip"))
    last_align = alignments[-1]
    first_align = alignments[0]

### 6.1.3 Ambiguous Alignments

Many alignment file formats can explicitly store more than one alignment, and the division between each alignment is clear. However, when a general sequence file format has been used there is no such block structure. The most common such situation is when alignments have been saved in the FASTA file format. For example consider the following:

    >Alpha
    ACTACGACTAGCTCAG--G
    >Beta
    ACTACCGCTAGCTCAGAAG
    >Gamma
    ACTACGGCTAGCACAGAAG
    >Alpha
    ACTACGACTAGCTCAGG--
    >Beta
    ACTACCGCTAGCTCAGAAG
    >Gamma
    ACTACGGCTAGCACAGAAG

This could be a single alignment containing six sequences (with repeated identifiers). Or, judging from the identifiers, this is probably two different alignments each with three sequences, which happen to all have the same length.

What about this next example?

    >Alpha
    ACTACGACTAGCTCAG--G
    >Beta
    ACTACCGCTAGCTCAGAAG
    >Alpha
    ACTACGACTAGCTCAGG--
    >Gamma
    ACTACGGCTAGCACAGAAG
    >Alpha
    ACTACGACTAGCTCAGG--
    >Delta
    ACTACGGCTAGCACAGAAG

Again, this could be a single alignment with six sequences. However this time based on the identifiers we might guess this is three pairwise alignments which by chance have all got the same lengths.

This final example is similar:

    >Alpha
    ACTACGACTAGCTCAG--G
    >XXX
    ACTACCGCTAGCTCAGAAG
    >Alpha
    ACTACGACTAGCTCAGG
    >YYY
    ACTACGGCAAGCACAGG
    >Alpha
    --ACTACGAC--TAGCTCAGG
    >ZZZ
    GGACTACGACAATAGCTCAGG

In this third example, because of the differing lengths, this cannot be treated as a single alignment containing all six records. However, it could be three pairwise alignments.

Clearly trying to store more than one alignment in a FASTA file is not ideal. However, if you are forced to deal with these as input files `Bio.AlignIO` can cope with the most common situation where all the alignments have the same number of records. One example of this is a collection of pairwise alignments, which can be produced by the EMBOSS tools `needle` and `water` – although in this situation, `Bio.AlignIO` should be able to understand their native output using “emboss” as the format string.

To interpret these FASTA examples as several separate alignments, we can use `Bio.AlignIO.parse()` with the optional `seq_count` argument which specifies how many sequences are expected in each alignment (in these examples, 3, 2 and 2 respectively). For example, using the third example as the input data:

    for alignment in AlignIO.parse(handle, "fasta", seq_count=2):
        print("Alignment length %i" % alignment.get_alignment_length())
        for record in alignment:
            print("%s - %s" % (record.seq, record.id))
        print("")

giving:

    Alignment length 19
    ACTACGACTAGCTCAG--G - Alpha
    ACTACCGCTAGCTCAGAAG - XXX

    Alignment length 17
    ACTACGACTAGCTCAGG - Alpha
    ACTACGGCAAGCACAGG - YYY

    Alignment length 21
    --ACTACGAC--TAGCTCAGG - Alpha
    GGACTACGACAATAGCTCAGG - ZZZ

Using `Bio.AlignIO.read()` or `Bio.AlignIO.parse()` without the `seq_count` argument would give a single alignment containing all six records for the first two examples. For the third example, an exception would be raised because the lengths differ preventing them being turned into a single alignment.

If the file format itself has a block structure allowing `Bio.AlignIO` to determine the number of sequences in each alignment directly, then the `seq_count` argument is not needed. If it is supplied, and doesn’t agree with the file contents, an error is raised.

Note that this optional `seq_count` argument assumes each alignment in the file has the same number of sequences. Hypothetically you may come across stranger situations, for example a FASTA file containing several alignments each with a different number of sequences – although I would love to hear of a real world example of this. Assuming you cannot get the data in a nicer file format, there is no straight forward way to deal with this using `Bio.AlignIO`. In this case, you could consider reading in the sequences themselves using `Bio.SeqIO` and batching them together to create the alignments as appropriate.

## 6.2 Writing Alignments

We’ve talked about using `Bio.AlignIO.read()` and `Bio.AlignIO.parse()` for alignment input (reading files), and now we’ll look at `Bio.AlignIO.write()` which is for alignment output (writing files). This is a function taking three arguments: some `MultipleSeqAlignment` objects (or for backwards compatibility the obsolete `Alignment` objects), a handle or filename to write to, and a sequence format.

Here is an example, where we start by creating a few `MultipleSeqAlignment` objects the hard way (by hand, rather than by loading them from a file). Note we create some `SeqRecord` objects to construct the alignment from.

    from Bio.Alphabet import generic_dna
    from Bio.Seq import Seq
    from Bio.SeqRecord import SeqRecord
    from Bio.Align import MultipleSeqAlignment

    align1 = MultipleSeqAlignment([
                 SeqRecord(Seq("ACTGCTAGCTAG", generic_dna), id="Alpha"),
                 SeqRecord(Seq("ACT-CTAGCTAG", generic_dna), id="Beta"),
                 SeqRecord(Seq("ACTGCTAGDTAG", generic_dna), id="Gamma"),
             ])

    align2 = MultipleSeqAlignment([
                 SeqRecord(Seq("GTCAGC-AG", generic_dna), id="Delta"),
                 SeqRecord(Seq("GACAGCTAG", generic_dna), id="Epsilon"),
                 SeqRecord(Seq("GTCAGCTAG", generic_dna), id="Zeta"),
             ])

    align3 = MultipleSeqAlignment([
                 SeqRecord(Seq("ACTAGTACAGCTG", generic_dna), id="Eta"),
                 SeqRecord(Seq("ACTAGTACAGCT-", generic_dna), id="Theta"),
                 SeqRecord(Seq("-CTACTACAGGTG", generic_dna), id="Iota"),
             ])

    my_alignments = [align1, align2, align3]

Now we have a list of `Alignment` objects, we’ll write them to a PHYLIP format file:

    from Bio import AlignIO
    AlignIO.write(my_alignments, "my_example.phy", "phylip")

And if you open this file in your favourite text editor it should look like this:

     3 12
    Alpha      ACTGCTAGCT AG
    Beta       ACT-CTAGCT AG
    Gamma      ACTGCTAGDT AG
     3 9
    Delta      GTCAGC-AG
    Epislon    GACAGCTAG
    Zeta       GTCAGCTAG
     3 13
    Eta        ACTAGTACAG CTG
    Theta      ACTAGTACAG CT-
    Iota       -CTACTACAG GTG

Its more common to want to load an existing alignment, and save that, perhaps after some simple manipulation like removing certain rows or columns.

Suppose you wanted to know how many alignments the `Bio.AlignIO.write()` function wrote to the handle? If your alignments were in a list like the example above, you could just use `len(my_alignments)`, however you can’t do that when your records come from a generator/iterator. Therefore the `Bio.AlignIO.write()` function returns the number of alignments written to the file.

Note - If you tell the `Bio.AlignIO.write()` function to write to a file that already exists, the old file will be overwritten without any warning.

### 6.2.1 Converting between sequence alignment file formats

Converting between sequence alignment file formats with `Bio.AlignIO` works in the same way as converting between sequence file formats with `Bio.SeqIO` (Section 5.5.2). We load generally the alignment(s) using `Bio.AlignIO.parse()` and then save them using the `Bio.AlignIO.write()` – or just use the `Bio.AlignIO.convert()` helper function.

For this example, we’ll load the PFAM/Stockholm format file used earlier and save it as a Clustal W format file:

    from Bio import AlignIO
    count = AlignIO.convert("PF05371_seed.sth", "stockholm", "PF05371_seed.aln", "clustal")
    print("Converted %i alignments" % count)

Or, using `Bio.AlignIO.parse()` and `Bio.AlignIO.write()`:

    from Bio import AlignIO
    alignments = AlignIO.parse("PF05371_seed.sth", "stockholm")
    count = AlignIO.write(alignments, "PF05371_seed.aln", "clustal")
    print("Converted %i alignments" % count)

The `Bio.AlignIO.write()` function expects to be given multiple alignment objects. In the example above we gave it the alignment iterator returned by `Bio.AlignIO.parse()`.

In this case, we know there is only one alignment in the file so we could have used `Bio.AlignIO.read()` instead, but notice we have to pass this alignment to `Bio.AlignIO.write()` as a single element list:

    from Bio import AlignIO
    alignment = AlignIO.read("PF05371_seed.sth", "stockholm")
    AlignIO.write([alignment], "PF05371_seed.aln", "clustal")

Either way, you should end up with the same new Clustal W format file “PF05371_seed.aln” with the following content:

    CLUSTAL X (1.81) multiple sequence alignment

    COATB_BPIKE/30-81                   AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIRLFKKFSS
    Q9T0Q8_BPIKE/1-52                   AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIKLFKKFVS
    COATB_BPI22/32-83                   DGTSTATSYATEAMNSLKTQATDLIDQTWPVVTSVAVAGLAIRLFKKFSS
    COATB_BPM13/24-72                   AEGDDP---AKAAFNSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTS
    COATB_BPZJ2/1-49                    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFAS
    Q9T0Q9_BPFD/1-49                    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTS
    COATB_BPIF1/22-73                   FAADDATSQAKAAFDSLTAQATEMSGYAWALVVLVVGATVGIKLFKKFVS

    COATB_BPIKE/30-81                   KA
    Q9T0Q8_BPIKE/1-52                   RA
    COATB_BPI22/32-83                   KA
    COATB_BPM13/24-72                   KA
    COATB_BPZJ2/1-49                    KA
    Q9T0Q9_BPFD/1-49                    KA
    COATB_BPIF1/22-73                   RA

Alternatively, you could make a PHYLIP format file which we’ll name “PF05371_seed.phy”:

    from Bio import AlignIO
    AlignIO.convert("PF05371_seed.sth", "stockholm", "PF05371_seed.phy", "phylip")

This time the output looks like this:

     7 52
    COATB_BPIK AEPNAATNYA TEAMDSLKTQ AIDLISQTWP VVTTVVVAGL VIRLFKKFSS
    Q9T0Q8_BPI AEPNAATNYA TEAMDSLKTQ AIDLISQTWP VVTTVVVAGL VIKLFKKFVS
    COATB_BPI2 DGTSTATSYA TEAMNSLKTQ ATDLIDQTWP VVTSVAVAGL AIRLFKKFSS
    COATB_BPM1 AEGDDP---A KAAFNSLQAS ATEYIGYAWA MVVVIVGATI GIKLFKKFTS
    COATB_BPZJ AEGDDP---A KAAFDSLQAS ATEYIGYAWA MVVVIVGATI GIKLFKKFAS
    Q9T0Q9_BPF AEGDDP---A KAAFDSLQAS ATEYIGYAWA MVVVIVGATI GIKLFKKFTS
    COATB_BPIF FAADDATSQA KAAFDSLTAQ ATEMSGYAWA LVVLVVGATV GIKLFKKFVS

               KA
               RA
               KA
               KA
               KA
               KA
               RA

One of the big handicaps of the original PHYLIP alignment file format is that the sequence identifiers are strictly truncated at ten characters. In this example, as you can see the resulting names are still unique - but they are not very readable. As a result, a more relaxed variant of the original PHYLIP format is now quite widely used:

    from Bio import AlignIO
    AlignIO.convert("PF05371_seed.sth", "stockholm", "PF05371_seed.phy", "phylip-relaxed")

This time the output looks like this, using a longer indentation to allow all the identifers to be given in full::

     7 52
    COATB_BPIKE/30-81  AEPNAATNYA TEAMDSLKTQ AIDLISQTWP VVTTVVVAGL VIRLFKKFSS
    Q9T0Q8_BPIKE/1-52  AEPNAATNYA TEAMDSLKTQ AIDLISQTWP VVTTVVVAGL VIKLFKKFVS
    COATB_BPI22/32-83  DGTSTATSYA TEAMNSLKTQ ATDLIDQTWP VVTSVAVAGL AIRLFKKFSS
    COATB_BPM13/24-72  AEGDDP---A KAAFNSLQAS ATEYIGYAWA MVVVIVGATI GIKLFKKFTS
    COATB_BPZJ2/1-49   AEGDDP---A KAAFDSLQAS ATEYIGYAWA MVVVIVGATI GIKLFKKFAS
    Q9T0Q9_BPFD/1-49   AEGDDP---A KAAFDSLQAS ATEYIGYAWA MVVVIVGATI GIKLFKKFTS
    COATB_BPIF1/22-73  FAADDATSQA KAAFDSLTAQ ATEMSGYAWA LVVLVVGATV GIKLFKKFVS

                       KA
                       RA
                       KA
                       KA
                       KA
                       KA
                       RA

If you have to work with the original strict PHYLIP format, then you may need to compress the identifers somehow – or assign your own names or numbering system. This following bit of code manipulates the record identifiers before saving the output:

    from Bio import AlignIO
    alignment = AlignIO.read("PF05371_seed.sth", "stockholm")
    name_mapping = {}
    for i, record in enumerate(alignment):
        name_mapping[i] = record.id
        record.id = "seq%i" % i
    print(name_mapping)

    AlignIO.write([alignment], "PF05371_seed.phy", "phylip")

This code used a Python dictionary to record a simple mapping from the new sequence system to the original identifier:

    {0: 'COATB_BPIKE/30-81', 1: 'Q9T0Q8_BPIKE/1-52', 2: 'COATB_BPI22/32-83', ...}

Here is the new (strict) PHYLIP format output:

     7 52
    seq0       AEPNAATNYA TEAMDSLKTQ AIDLISQTWP VVTTVVVAGL VIRLFKKFSS
    seq1       AEPNAATNYA TEAMDSLKTQ AIDLISQTWP VVTTVVVAGL VIKLFKKFVS
    seq2       DGTSTATSYA TEAMNSLKTQ ATDLIDQTWP VVTSVAVAGL AIRLFKKFSS
    seq3       AEGDDP---A KAAFNSLQAS ATEYIGYAWA MVVVIVGATI GIKLFKKFTS
    seq4       AEGDDP---A KAAFDSLQAS ATEYIGYAWA MVVVIVGATI GIKLFKKFAS
    seq5       AEGDDP---A KAAFDSLQAS ATEYIGYAWA MVVVIVGATI GIKLFKKFTS
    seq6       FAADDATSQA KAAFDSLTAQ ATEMSGYAWA LVVLVVGATV GIKLFKKFVS

               KA
               RA
               KA
               KA
               KA
               KA
               RA

In general, because of the identifier limitation, working with strict PHYLIP file formats shouldn’t be your first choice. Using the PFAM/Stockholm format on the other hand allows you to record a lot of additional annotation too.

### 6.2.2 Getting your alignment objects as formatted strings

The `Bio.AlignIO` interface is based on handles, which means if you want to get your alignment(s) into a string in a particular file format you need to do a little bit more work (see below). However, you will probably prefer to take advantage of the alignment object’s `format()` method. This takes a single mandatory argument, a lower case string which is supported by `Bio.AlignIO` as an output format. For example:

    from Bio import AlignIO
    alignment = AlignIO.read("PF05371_seed.sth", "stockholm")
    print(alignment.format("clustal"))

As described in Section 4.5, the `SeqRecord` object has a similar method using output formats supported by `Bio.SeqIO`.

Internally the `format()` method is using the `StringIO` string based handle and calling `Bio.AlignIO.write()`. You can do this in your own code if for example you are using an older version of Biopython:

    from Bio import AlignIO
    from StringIO import StringIO

    alignments = AlignIO.parse("PF05371_seed.sth", "stockholm")

    out_handle = StringIO()
    AlignIO.write(alignments, out_handle, "clustal")
    clustal_data = out_handle.getvalue()

    print(clustal_data)

## 6.3 Manipulating Alignments

Now that we’ve covered loading and saving alignments, we’ll look at what else you can do with them.

### 6.3.1 Slicing alignments

First of all, in some senses the alignment objects act like a Python `list` of `SeqRecord` objects (the rows). With this model in mind hopefully the actions of `len()` (the number of rows) and iteration (each row as a `SeqRecord`) make sense:

    >>> from Bio import AlignIO
    >>> alignment = AlignIO.read("PF05371_seed.sth", "stockholm")
    >>> print("Number of rows: %i" % len(alignment))
    Number of rows: 7
    >>> for record in alignment:
    ...     print("%s - %s" % (record.seq, record.id))
    AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIRLFKKFSSKA - COATB_BPIKE/30-81
    AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIKLFKKFVSRA - Q9T0Q8_BPIKE/1-52
    DGTSTATSYATEAMNSLKTQATDLIDQTWPVVTSVAVAGLAIRLFKKFSSKA - COATB_BPI22/32-83
    AEGDDP---AKAAFNSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA - COATB_BPM13/24-72
    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFASKA - COATB_BPZJ2/1-49
    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA - Q9T0Q9_BPFD/1-49
    FAADDATSQAKAAFDSLTAQATEMSGYAWALVVLVVGATVGIKLFKKFVSRA - COATB_BPIF1/22-73

You can also use the list-like `append` and `extend` methods to add more rows to the alignment (as `SeqRecord` objects). Keeping the list metaphor in mind, simple slicing of the alignment should also make sense - it selects some of the rows giving back another alignment object:

    >>> print(alignment)
    SingleLetterAlphabet() alignment with 7 rows and 52 columns
    AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIRL...SKA COATB_BPIKE/30-81
    AEPNAATNYATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIKL...SRA Q9T0Q8_BPIKE/1-52
    DGTSTATSYATEAMNSLKTQATDLIDQTWPVVTSVAVAGLAIRL...SKA COATB_BPI22/32-83
    AEGDDP---AKAAFNSLQASATEYIGYAWAMVVVIVGATIGIKL...SKA COATB_BPM13/24-72
    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKL...SKA COATB_BPZJ2/1-49
    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKL...SKA Q9T0Q9_BPFD/1-49
    FAADDATSQAKAAFDSLTAQATEMSGYAWALVVLVVGATVGIKL...SRA COATB_BPIF1/22-73
    >>> print(alignment[3:7])
    SingleLetterAlphabet() alignment with 4 rows and 52 columns
    AEGDDP---AKAAFNSLQASATEYIGYAWAMVVVIVGATIGIKL...SKA COATB_BPM13/24-72
    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKL...SKA COATB_BPZJ2/1-49
    AEGDDP---AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKL...SKA Q9T0Q9_BPFD/1-49
    FAADDATSQAKAAFDSLTAQATEMSGYAWALVVLVVGATVGIKL...SRA COATB_BPIF1/22-73

What if you wanted to select by column? Those of you who have used the NumPy matrix or array objects won’t be surprised at this - you use a double index.

    >>> print(alignment[2, 6])
    T

Using two integer indices pulls out a single letter, short hand for this:

    >>> print(alignment[2].seq[6])
    T

You can pull out a single column as a string like this:

    >>> print(alignment[:, 6])
    TTT---T

You can also select a range of columns. For example, to pick out those same three rows we extracted earlier, but take just their first six columns:

    >>> print(alignment[3:6, :6])
    SingleLetterAlphabet() alignment with 3 rows and 6 columns
    AEGDDP COATB_BPM13/24-72
    AEGDDP COATB_BPZJ2/1-49
    AEGDDP Q9T0Q9_BPFD/1-49

Leaving the first index as `:` means take all the rows:

    >>> print(alignment[:, :6])
    SingleLetterAlphabet() alignment with 7 rows and 6 columns
    AEPNAA COATB_BPIKE/30-81
    AEPNAA Q9T0Q8_BPIKE/1-52
    DGTSTA COATB_BPI22/32-83
    AEGDDP COATB_BPM13/24-72
    AEGDDP COATB_BPZJ2/1-49
    AEGDDP Q9T0Q9_BPFD/1-49
    FAADDA COATB_BPIF1/22-73

This brings us to a neat way to remove a section. Notice columns 7, 8 and 9 which are gaps in three of the seven sequences:

    >>> print(alignment[:, 6:9])
    SingleLetterAlphabet() alignment with 7 rows and 3 columns
    TNY COATB_BPIKE/30-81
    TNY Q9T0Q8_BPIKE/1-52
    TSY COATB_BPI22/32-83
    --- COATB_BPM13/24-72
    --- COATB_BPZJ2/1-49
    --- Q9T0Q9_BPFD/1-49
    TSQ COATB_BPIF1/22-73

Again, you can slice to get everything after the ninth column:

    >>> print(alignment[:, 9:])
    SingleLetterAlphabet() alignment with 7 rows and 43 columns
    ATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIRLFKKFSSKA COATB_BPIKE/30-81
    ATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIKLFKKFVSRA Q9T0Q8_BPIKE/1-52
    ATEAMNSLKTQATDLIDQTWPVVTSVAVAGLAIRLFKKFSSKA COATB_BPI22/32-83
    AKAAFNSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA COATB_BPM13/24-72
    AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFASKA COATB_BPZJ2/1-49
    AKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA Q9T0Q9_BPFD/1-49
    AKAAFDSLTAQATEMSGYAWALVVLVVGATVGIKLFKKFVSRA COATB_BPIF1/22-73

Now, the interesting thing is that addition of alignment objects works by column. This lets you do this as a way to remove a block of columns:

    >>> edited = alignment[:, :6] + alignment[:, 9:]
    >>> print(edited)
    SingleLetterAlphabet() alignment with 7 rows and 49 columns
    AEPNAAATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIRLFKKFSSKA COATB_BPIKE/30-81
    AEPNAAATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIKLFKKFVSRA Q9T0Q8_BPIKE/1-52
    DGTSTAATEAMNSLKTQATDLIDQTWPVVTSVAVAGLAIRLFKKFSSKA COATB_BPI22/32-83
    AEGDDPAKAAFNSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA COATB_BPM13/24-72
    AEGDDPAKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFASKA COATB_BPZJ2/1-49
    AEGDDPAKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA Q9T0Q9_BPFD/1-49
    FAADDAAKAAFDSLTAQATEMSGYAWALVVLVVGATVGIKLFKKFVSRA COATB_BPIF1/22-73

Another common use of alignment addition would be to combine alignments for several different genes into a meta-alignment. Watch out though - the identifiers need to match up (see Section 4.7 for how adding `SeqRecord` objects works). You may find it helpful to first sort the alignment rows alphabetically by id:

    >>> edited.sort()
    >>> print(edited)
    SingleLetterAlphabet() alignment with 7 rows and 49 columns
    DGTSTAATEAMNSLKTQATDLIDQTWPVVTSVAVAGLAIRLFKKFSSKA COATB_BPI22/32-83
    FAADDAAKAAFDSLTAQATEMSGYAWALVVLVVGATVGIKLFKKFVSRA COATB_BPIF1/22-73
    AEPNAAATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIRLFKKFSSKA COATB_BPIKE/30-81
    AEGDDPAKAAFNSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA COATB_BPM13/24-72
    AEGDDPAKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFASKA COATB_BPZJ2/1-49
    AEPNAAATEAMDSLKTQAIDLISQTWPVVTTVVVAGLVIKLFKKFVSRA Q9T0Q8_BPIKE/1-52
    AEGDDPAKAAFDSLQASATEYIGYAWAMVVVIVGATIGIKLFKKFTSKA Q9T0Q9_BPFD/1-49

Note that you can only add two alignments together if they have the same number of rows.

### 6.3.2 Alignments as arrays

Depending on what you are doing, it can be more useful to turn the alignment object into an array of letters – and you can do this with NumPy:

    >>> import numpy as np
    >>> from Bio import AlignIO
    >>> alignment = AlignIO.read("PF05371_seed.sth", "stockholm")
    >>> align_array = np.array([list(rec) for rec in alignment], np.character)
    >>> print("Array shape %i by %i" % align_array.shape)
    Array shape 7 by 52

If you will be working heavily with the columns, you can tell NumPy to store the array by column (as in Fortran) rather then its default of by row (as in C):

    >>> align_array = np.array([list(rec) for rec in alignment], np.character, order="F")

Note that this leaves the original Biopython alignment object and the NumPy array in memory as separate objects - editing one will not update the other!

## 6.4 Alignment Tools

There are lots of algorithms out there for aligning sequences, both pairwise alignments and multiple sequence alignments. These calculations are relatively slow, and you generally wouldn’t want to write such an algorithm in Python. Instead, you can use Biopython to invoke a command line tool on your behalf. Normally you would:

1. Prepare an input file of your unaligned sequences, typically this will be a FASTA file which you might create using `Bio.SeqIO` (see Chapter 5).
2. Call the command line tool to process this input file, typically via one of Biopython’s command line wrappers (which we’ll discuss here).
3. Read the output from the tool, i.e. your aligned sequences, typically using `Bio.AlignIO` (see earlier in this chapter).

All the command line wrappers we’re going to talk about in this chapter follow the same style. You create a command line object specifying the options (e.g. the input filename and the output filename), then invoke this command line via a Python operating system call (e.g. using the `subprocess` module).

Most of these wrappers are defined in the `Bio.Align.Applications` module:

    >>> import Bio.Align.Applications
    >>> dir(Bio.Align.Applications)
    ...
    ['ClustalwCommandline', 'DialignCommandline', 'MafftCommandline', 'MuscleCommandline',
    'PrankCommandline', 'ProbconsCommandline', 'TCoffeeCommandline' ...]

(Ignore the entries starting with an underscore – these have special meaning in Python.) The module `Bio.Emboss.Applications` has wrappers for some of the EMBOSS suite, including `needle` and `water`, which are described below in Section 6.4.5, and wrappers for the EMBOSS packaged versions of the PHYLIP tools (which EMBOSS refer to as one of their EMBASSY packages - third party tools with an EMBOSS style interface). We won’t explore all these alignment tools here in the section, just a sample, but the same principles apply.

### 6.4.1 ClustalW

ClustalW is a popular command line tool for multiple sequence alignment (there is also a graphical interface called ClustalX). Biopython’s `Bio.Align.Applications` module has a wrapper for this alignment tool (and several others).

Before trying to use ClustalW from within Python, you should first try running the ClustalW tool yourself by hand at the command line, to familiarise yourself the other options. You’ll find the Biopython wrapper is very faithful to the actual command line API:

    >>> from Bio.Align.Applications import ClustalwCommandline
    >>> help(ClustalwCommandline)
    ...

For the most basic usage, all you need is to have a FASTA input file, such as opuntia.fasta (available online or in the Doc/examples subdirectory of the Biopython source code). This is a small FASTA file containing seven prickly-pear DNA sequences (from the cactus family Opuntia).

By default ClustalW will generate an alignment and guide tree file with names based on the input FASTA file, in this case `opuntia.aln` and `opuntia.dnd`, but you can override this or make it explicit:

    >>> from Bio.Align.Applications import ClustalwCommandline
    >>> cline = ClustalwCommandline("clustalw2", infile="opuntia.fasta")
    >>> print(cline)
    clustalw2 -infile=opuntia.fasta

Notice here we have given the executable name as `clustalw2`, indicating we have version two installed, which has a different filename to version one (`clustalw`, the default). Fortunately both versions support the same set of arguments at the command line (and indeed, should be functionally identical).

You may find that even though you have ClustalW installed, the above command doesn’t work – you may get a message about “command not found” (especially on Windows). This indicated that the ClustalW executable is not on your PATH (an environment variable, a list of directories to be searched). You can either update your PATH setting to include the location of your copy of ClustalW tools (how you do this will depend on your OS), or simply type in the full path of the tool. For example:

    >>> import os
    >>> from Bio.Align.Applications import ClustalwCommandline
    >>> clustalw_exe = r"C:\Program Files\new clustal\clustalw2.exe"
    >>> clustalw_cline = ClustalwCommandline(clustalw_exe, infile="opuntia.fasta")

    >>> assert os.path.isfile(clustalw_exe), "Clustal W executable missing"
    >>> stdout, stderr = clustalw_cline()

Remember, in Python strings `\n` and `\t` are by default interpreted as a new line and a tab – which is why we’re put a letter “r” at the start for a raw string that isn’t translated in this way. This is generally good practice when specifying a Windows style file name.

Internally this uses the `subprocess` module which is now the recommended way to run another program in Python. This replaces older options like the `os.system()` and the `os.popen*` functions.

Now, at this point it helps to know about how command line tools “work”. When you run a tool at the command line, it will often print text output directly to screen. This text can be captured or redirected, via two “pipes”, called standard output (the normal results) and standard error (for error messages and debug messages). There is also standard input, which is any text fed into the tool. These names get shortened to stdin, stdout and stderr. When the tool finishes, it has a return code (an integer), which by convention is zero for success.

When you run the command line tool like this via the Biopython wrapper, it will wait for it to finish, and check the return code. If this is non zero (indicating an error), an exception is raised. The wrapper then returns two strings, stdout and stderr.

In the case of ClustalW, when run at the command line all the important output is written directly to the output files. Everything normally printed to screen while you wait (via stdout or stderr) is boring and can be ignored (assuming it worked).

What we care about are the two output files, the alignment and the guide tree. We didn’t tell ClustalW what filenames to use, but it defaults to picking names based on the input file. In this case the output should be in the file `opuntia.aln`. You should be able to work out how to read in the alignment using `Bio.AlignIO` by now:

    >>> from Bio import AlignIO
    >>> align = AlignIO.read("opuntia.aln", "clustal")
    >>> print(align)
    SingleLetterAlphabet() alignment with 7 rows and 906 columns
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273285|gb|AF191659.1|AF191
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273284|gb|AF191658.1|AF191
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273287|gb|AF191661.1|AF191
    TATACATAAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273286|gb|AF191660.1|AF191
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273290|gb|AF191664.1|AF191
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273289|gb|AF191663.1|AF191
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273291|gb|AF191665.1|AF191

In case you are interested (and this is an aside from the main thrust of this chapter), the `opuntia.dnd` file ClustalW creates is just a standard Newick tree file, and `Bio.Phylo` can parse these:

    >>> from Bio import Phylo
    >>> tree = Phylo.read("opuntia.dnd", "newick")
    >>> Phylo.draw_ascii(tree)
                                 _______________ gi|6273291|gb|AF191665.1|AF191665
      __________________________|
     |                          |   ______ gi|6273290|gb|AF191664.1|AF191664
     |                          |__|
     |                             |_____ gi|6273289|gb|AF191663.1|AF191663
     |
    _|_________________ gi|6273287|gb|AF191661.1|AF191661
     |
     |__________ gi|6273286|gb|AF191660.1|AF191660
     |
     |    __ gi|6273285|gb|AF191659.1|AF191659
     |___|
         | gi|6273284|gb|AF191658.1|AF191658
    <BLANKLINE>

Chapter 12 covers Biopython’s support for phylogenetic trees in more depth.

### 6.4.2 MUSCLE

MUSCLE is a more recent multiple sequence alignment tool than ClustalW, and Biopython also has a wrapper for it under the `Bio.Align.Applications` module. As before, we recommend you try using MUSCLE from the command line before trying it from within Python, as the Biopython wrapper is very faithful to the actual command line API:

    >>> from Bio.Align.Applications import MuscleCommandline
    >>> help(MuscleCommandline)
    ...

For the most basic usage, all you need is to have a FASTA input file, such as opuntia.fasta (available online or in the Doc/examples subdirectory of the Biopython source code). You can then tell MUSCLE to read in this FASTA file, and write the alignment to an output file:

    >>> from Bio.Align.Applications import MuscleCommandline
    >>> cline = MuscleCommandline(input="opuntia.fasta", out="opuntia.txt")
    >>> print(cline)
    muscle -in opuntia.fasta -out opuntia.txt

Note that MUSCLE uses “-in” and “-out” but in Biopython we have to use “input” and “out” as the keyword arguments or property names. This is because “in” is a reserved word in Python.

By default MUSCLE will output the alignment as a FASTA file (using gapped sequences). The `Bio.AlignIO` module should be able to read this alignment using `format="fasta"`. You can also ask for ClustalW-like output:

    >>> from Bio.Align.Applications import MuscleCommandline
    >>> cline = MuscleCommandline(input="opuntia.fasta", out="opuntia.aln", clw=True)
    >>> print(cline)
    muscle -in opuntia.fasta -out opuntia.aln -clw

Or, strict ClustalW output where the original ClustalW header line is used for maximum compatibility:

    >>> from Bio.Align.Applications import MuscleCommandline
    >>> cline = MuscleCommandline(input="opuntia.fasta", out="opuntia.aln", clwstrict=True)
    >>> print(cline)
    muscle -in opuntia.fasta -out opuntia.aln -clwstrict

The `Bio.AlignIO` module should be able to read these alignments using `format="clustal"`.

MUSCLE can also output in GCG MSF format (using the `msf` argument), but Biopython can’t currently parse that, or using HTML which would give a human readable web page (not suitable for parsing).

You can also set the other optional parameters, for example the maximum number of iterations. See the built in help for details.

You would then run MUSCLE command line string as described above for ClustalW, and parse the output using `Bio.AlignIO` to get an alignment object.

### 6.4.3 MUSCLE using stdout

Using a MUSCLE command line as in the examples above will write the alignment to a file. This means there will be no important information written to the standard out (stdout) or standard error (stderr) handles. However, by default MUSCLE will write the alignment to standard output (stdout). We can take advantage of this to avoid having a temporary output file! For example:

    >>> from Bio.Align.Applications import MuscleCommandline
    >>> muscle_cline = MuscleCommandline(input="opuntia.fasta")
    >>> print(muscle_cline)
    muscle -in opuntia.fasta

If we run this via the wrapper, we get back the output as a string. In order to parse this we can use `StringIO` to turn it into a handle. Remember that MUSCLE defaults to using FASTA as the output format:

    >>> from Bio.Align.Applications import MuscleCommandline
    >>> muscle_cline = MuscleCommandline(input="opuntia.fasta")
    >>> stdout, stderr = muscle_cline()
    >>> from StringIO import StringIO
    >>> from Bio import AlignIO
    >>> align = AlignIO.read(StringIO(stdout), "fasta")
    >>> print(align)
    SingleLetterAlphabet() alignment with 7 rows and 906 columns
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273289|gb|AF191663.1|AF191663
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273291|gb|AF191665.1|AF191665
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273290|gb|AF191664.1|AF191664
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273287|gb|AF191661.1|AF191661
    TATACATAAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273286|gb|AF191660.1|AF191660
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273285|gb|AF191659.1|AF191659
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273284|gb|AF191658.1|AF191658

The above approach is fairly simple, but if you are dealing with very large output text the fact that all of stdout and stderr is loaded into memory as a string can be a potential drawback. Using the `subprocess` module we can work directly with handles instead:

    >>> import subprocess
    >>> from Bio.Align.Applications import MuscleCommandline
    >>> muscle_cline = MuscleCommandline(input="opuntia.fasta")
    >>> child = subprocess.Popen(str(muscle_cline),
    ...                          stdout=subprocess.PIPE,
    ...                          stderr=subprocess.PIPE,
    ...                          shell=(sys.platform!="win32"))
    >>> from Bio import AlignIO
    >>> align = AlignIO.read(child.stdout, "fasta")
    >>> print(align)
    SingleLetterAlphabet() alignment with 7 rows and 906 columns
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273289|gb|AF191663.1|AF191663
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273291|gb|AF191665.1|AF191665
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273290|gb|AF191664.1|AF191664
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273287|gb|AF191661.1|AF191661
    TATACATAAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273286|gb|AF191660.1|AF191660
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273285|gb|AF191659.1|AF191659
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273284|gb|AF191658.1|AF191658

### 6.4.4 MUSCLE using stdin and stdout

We don’t actually need to have our FASTA input sequences prepared in a file, because by default MUSCLE will read in the input sequence from standard input! Note this is a bit more advanced and fiddly, so don’t bother with this technique unless you need to.

First, we’ll need some unaligned sequences in memory as `SeqRecord` objects. For this demonstration I’m going to use a filtered version of the original FASTA file (using a generator expression), taking just six of the seven sequences:

    >>> from Bio import SeqIO
    >>> records = (r for r in SeqIO.parse("opuntia.fasta", "fasta") if len(r) < 900)

Then we create the MUSCLE command line, leaving the input and output to their defaults (stdin and stdout). I’m also going to ask for strict ClustalW format as for the output.

    >>> from Bio.Align.Applications import MuscleCommandline
    >>> muscle_cline = MuscleCommandline(clwstrict=True)
    >>> print(muscle_cline)
    muscle -clwstrict

Now for the fiddly bits using the `subprocess` module, stdin and stdout:

    >>> import subprocess
    >>> import sys
    >>> child = subprocess.Popen(str(cline),
    ...                          stdin=subprocess.PIPE,
    ...                          stdout=subprocess.PIPE,
    ...                          stderr=subprocess.PIPE,
    ...                          universal_newlines=True,
    ...                          shell=(sys.platform!="win32"))

That should start MUSCLE, but it will be sitting waiting for its FASTA input sequences, which we must supply via its stdin handle:

    >>> SeqIO.write(records, child.stdin, "fasta")
    6
    >>> child.stdin.close()

After writing the six sequences to the handle, MUSCLE will still be waiting to see if that is all the FASTA sequences or not – so we must signal that this is all the input data by closing the handle. At that point MUSCLE should start to run, and we can ask for the output:

    >>> from Bio import AlignIO
    >>> align = AlignIO.read(child.stdout, "clustal")
    >>> print(align)
    SingleLetterAlphabet() alignment with 6 rows and 900 columns
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273290|gb|AF191664.1|AF19166
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273289|gb|AF191663.1|AF19166
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273287|gb|AF191661.1|AF19166
    TATACATAAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273286|gb|AF191660.1|AF19166
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273285|gb|AF191659.1|AF19165
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273284|gb|AF191658.1|AF19165

Wow! There we are with a new alignment of just the six records, without having created a temporary FASTA input file, or a temporary alignment output file. However, a word of caution: Dealing with errors with this style of calling external programs is much more complicated. It also becomes far harder to diagnose problems, because you can’t try running MUSCLE manually outside of Biopython (because you don’t have the input file to supply). There can also be subtle cross platform issues (e.g. Windows versus Linux, Python 2 versus Python 3), and how you run your script can have an impact (e.g. at the command line, from IDLE or an IDE, or as a GUI script). These are all generic Python issues though, and not specific to Biopython.

If you find working directly with `subprocess` like this scary, there is an alternative. If you execute the tool with `muscle_cline()` you can supply any standard input as a big string, `muscle_cline(stdin=...)`. So, provided your data isn’t very big, you can prepare the FASTA input in memory as a string using `StringIO` (see Section 22.1):

    >>> from Bio import SeqIO
    >>> records = (r for r in SeqIO.parse("opuntia.fasta", "fasta") if len(r) < 900)
    >>> from StringIO import StringIO
    >>> handle = StringIO()
    >>> SeqIO.write(records, handle, "fasta")
    6
    >>> data = handle.getvalue()

You can then run the tool and parse the alignment as follows:

    >>> stdout, stderr = muscle_cline(stdin=data)
    >>> from Bio import AlignIO
    >>> align = AlignIO.read(StringIO(stdout), "clustal")
    >>> print(align)
    SingleLetterAlphabet() alignment with 6 rows and 900 columns
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273290|gb|AF191664.1|AF19166
    TATACATTAAAGGAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273289|gb|AF191663.1|AF19166
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273287|gb|AF191661.1|AF19166
    TATACATAAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273286|gb|AF191660.1|AF19166
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273285|gb|AF191659.1|AF19165
    TATACATTAAAGAAGGGGGATGCGGATAAATGGAAAGGCGAAAG...AGA gi|6273284|gb|AF191658.1|AF19165

You might find this easier, but it does require more memory (RAM) for the strings used for the input FASTA and output Clustal formatted data.

### 6.4.5 EMBOSS needle and water

The EMBOSS suite includes the `water` and `needle` tools for Smith-Waterman algorithm local alignment, and Needleman-Wunsch global alignment. The tools share the same style interface, so switching between the two is trivial – we’ll just use `needle` here.

Suppose you want to do a global pairwise alignment between two sequences, prepared in FASTA format as follows:

    >HBA_HUMAN
    MVLSPADKTNVKAAWGKVGAHAGEYGAEALERMFLSFPTTKTYFPHFDLSHGSAQVKGHG
    KKVADALTNAVAHVDDMPNALSALSDLHAHKLRVDPVNFKLLSHCLLVTLAAHLPAEFTP
    AVHASLDKFLASVSTVLTSKYR

in a file `alpha.fasta`, and secondly in a file `beta.fasta`:

    >HBB_HUMAN
    MVHLTPEEKSAVTALWGKVNVDEVGGEALGRLLVVYPWTQRFFESFGDLSTPDAVMGNPK
    VKAHGKKVLGAFSDGLAHLDNLKGTFATLSELHCDKLHVDPENFRLLGNVLVCVLAHHFG
    KEFTPPVQAAYQKVVAGVANALAHKYH

Let’s start by creating a complete `needle` command line object in one go:

    >>> from Bio.Emboss.Applications import NeedleCommandline
    >>> needle_cline = NeedleCommandline(asequence="alpha.faa", bsequence="beta.faa",
    ...                                  gapopen=10, gapextend=0.5, outfile="needle.txt")
    >>> print(needle_cline)
    needle -outfile=needle.txt -asequence=alpha.faa -bsequence=beta.faa -gapopen=10 -gapextend=0.5

Why not try running this by hand at the command prompt? You should see it does a pairwise comparison and records the output in the file `needle.txt` (in the default EMBOSS alignment file format).

Even if you have EMBOSS installed, running this command may not work – you might get a message about “command not found” (especially on Windows). This probably means that the EMBOSS tools are not on your PATH environment variable. You can either update your PATH setting, or simply tell Biopython the full path to the tool, for example:

    >>> from Bio.Emboss.Applications import NeedleCommandline
    >>> needle_cline = NeedleCommandline(r"C:\EMBOSS\needle.exe",
    ...                                  asequence="alpha.faa", bsequence="beta.faa",
    ...                                  gapopen=10, gapextend=0.5, outfile="needle.txt")

Remember in Python that for a default string `\n` or `\t` means a new line or a tab – which is why we’re put a letter “r” at the start for a raw string.

At this point it might help to try running the EMBOSS tools yourself by hand at the command line, to familiarise yourself the other options and compare them to the Biopython help text:

    >>> from Bio.Emboss.Applications import NeedleCommandline
    >>> help(NeedleCommandline)
    ...

Note that you can also specify (or change or look at) the settings like this:

    >>> from Bio.Emboss.Applications import NeedleCommandline
    >>> needle_cline = NeedleCommandline()
    >>> needle_cline.asequence="alpha.faa"
    >>> needle_cline.bsequence="beta.faa"
    >>> needle_cline.gapopen=10
    >>> needle_cline.gapextend=0.5
    >>> needle_cline.outfile="needle.txt"
    >>> print(needle_cline)
    needle -outfile=needle.txt -asequence=alpha.faa -bsequence=beta.faa -gapopen=10 -gapextend=0.5
    >>> print(needle_cline.outfile)
    needle.txt

Next we want to use Python to run this command for us. As explained above, for full control, we recommend you use the built in Python `subprocess` module, but for simple usage the wrapper object usually suffices:

    >>> stdout, stderr = needle_cline()
    >>> print(stdout + stderr)
    Needleman-Wunsch global alignment of two sequences

Next we can load the output file with `Bio.AlignIO` as discussed earlier in this chapter, as the `emboss` format:

    >>> from Bio import AlignIO
    >>> align = AlignIO.read("needle.txt", "emboss")
    >>> print(align)
    SingleLetterAlphabet() alignment with 2 rows and 149 columns
    MV-LSPADKTNVKAAWGKVGAHAGEYGAEALERMFLSFPTTKTY...KYR HBA_HUMAN
    MVHLTPEEKSAVTALWGKV--NVDEVGGEALGRLLVVYPWTQRF...KYH HBB_HUMAN

In this example, we told EMBOSS to write the output to a file, but you can tell it to write the output to stdout instead (useful if you don’t want a temporary output file to get rid of – use `stdout=True` rather than the `outfile` argument), and also to read one of the one of the inputs from stdin (e.g. `asequence="stdin"`, much like in the MUSCLE example in the section above).

This has only scratched the surface of what you can do with `needle` and `water`. One useful trick is that the second file can contain multiple sequences (say five), and then EMBOSS will do five pairwise alignments.

Note - Biopython includes its own pairwise alignment code in the `Bio.pairwise2` module (written in C for speed, but with a pure Python fallback available too). This doesn’t work with alignment objects, so we have not covered it within this chapter. See the module’s docstring (built in help) for details.

# Chapter 7 BLAST

Hey, everybody loves BLAST right? I mean, geez, how can it get any easier to do comparisons between one of your sequences and every other sequence in the known world? But, of course, this section isn’t about how cool BLAST is, since we already know that. It is about the problem with BLAST – it can be really difficult to deal with the volume of data generated by large runs, and to automate BLAST runs in general.

Fortunately, the Biopython folks know this only too well, so they’ve developed lots of tools for dealing with BLAST and making things much easier. This section details how to use these tools and do useful things with them.

Dealing with BLAST can be split up into two steps, both of which can be done from within Biopython. Firstly, running BLAST for your query sequence(s), and getting some output. Secondly, parsing the BLAST output in Python for further analysis.

Your first introduction to running BLAST was probably via the NCBI web-service. In fact, there are lots of ways you can run BLAST, which can be categorised in several ways. The most important distinction is running BLAST locally (on your own machine), and running BLAST remotely (on another machine, typically the NCBI servers). We’re going to start this chapter by invoking the NCBI online BLAST service from within a Python script.

NOTE: The following Chapter 8 describes `Bio.SearchIO`, an experimental module in Biopython. We intend this to ultimately replace the older `Bio.Blast` module, as it provides a more general framework handling other related sequence searching tools as well. However, until that is declared stable, for production code please continue to use the `Bio.Blast` module for dealing with NCBI BLAST.

## 7.1 Running BLAST over the Internet

We use the function `qblast()` in the `Bio.Blast.NCBIWWW` module to call the online version of BLAST. This has three non-optional arguments:

- The first argument is the blast program to use for the search, as a lower case string. The options and descriptions of the programs are available at `http://www.ncbi.nlm.nih.gov/BLAST/blast_program.shtml`. Currently `qblast` only works with blastn, blastp, blastx, tblast and tblastx.
- The second argument specifies the databases to search against. Again, the options for this are available on the NCBI web pages at `http://www.ncbi.nlm.nih.gov/BLAST/blast_databases.shtml`.
- The third argument is a string containing your query sequence. This can either be the sequence itself, the sequence in fasta format, or an identifier like a GI number.

The `qblast` function also take a number of other option arguments which are basically analogous to the different parameters you can set on the BLAST web page. We’ll just highlight a few of them here:

- The `qblast` function can return the BLAST results in various formats, which you can choose with the optional `format_type` keyword: `"HTML"`, `"Text"`, `"ASN.1"`, or `"XML"`. The default is `"XML"`, as that is the format expected by the parser, described in section 7.3 below.
- The argument `expect` sets the expectation or e-value threshold.

For more about the optional BLAST arguments, we refer you to the NCBI’s own documentation, or that built into Biopython:

    >>> from Bio.Blast import NCBIWWW
    >>> help(NCBIWWW.qblast)
    ...

Note that the default settings on the NCBI BLAST website are not quite the same as the defaults on QBLAST. If you get different results, you’ll need to check the parameters (e.g., the expectation value threshold and the gap values).

For example, if you have a nucleotide sequence you want to search against the nucleotide database (nt) using BLASTN, and you know the GI number of your query sequence, you can use:

    >>> from Bio.Blast import NCBIWWW
    >>> result_handle = NCBIWWW.qblast("blastn", "nt", "8332116")

Alternatively, if we have our query sequence already in a FASTA formatted file, we just need to open the file and read in this record as a string, and use that as the query argument:

    >>> from Bio.Blast import NCBIWWW
    >>> fasta_string = open("m_cold.fasta").read()
    >>> result_handle = NCBIWWW.qblast("blastn", "nt", fasta_string)

We could also have read in the FASTA file as a `SeqRecord` and then supplied just the sequence itself:

    >>> from Bio.Blast import NCBIWWW
    >>> from Bio import SeqIO
    >>> record = SeqIO.read("m_cold.fasta", format="fasta")
    >>> result_handle = NCBIWWW.qblast("blastn", "nt", record.seq)

Supplying just the sequence means that BLAST will assign an identifier for your sequence automatically. You might prefer to use the `SeqRecord` object’s format method to make a FASTA string (which will include the existing identifier):

    >>> from Bio.Blast import NCBIWWW
    >>> from Bio import SeqIO
    >>> record = SeqIO.read("m_cold.fasta", format="fasta")
    >>> result_handle = NCBIWWW.qblast("blastn", "nt", record.format("fasta"))

This approach makes more sense if you have your sequence(s) in a non-FASTA file format which you can extract using `Bio.SeqIO` (see Chapter 5).

Whatever arguments you give the `qblast()` function, you should get back your results in a handle object (by default in XML format). The next step would be to parse the XML output into Python objects representing the search results (Section 7.3), but you might want to save a local copy of the output file first. I find this especially useful when debugging my code that extracts info from the BLAST results (because re-running the online search is slow and wastes the NCBI computer time).

We need to be a bit careful since we can use `result_handle.read()` to read the BLAST output only once – calling `result_handle.read()` again returns an empty string.

    >>> save_file = open("my_blast.xml", "w")
    >>> save_file.write(result_handle.read())
    >>> save_file.close()
    >>> result_handle.close()

After doing this, the results are in the file `my_blast.xml` and the original handle has had all its data extracted (so we closed it). However, the `parse` function of the BLAST parser (described in 7.3) takes a file-handle-like object, so we can just open the saved file for input:

    >>> result_handle = open("my_blast.xml")

Now that we’ve got the BLAST results back into a handle again, we are ready to do something with them, so this leads us right into the parsing section (see Section 7.3 below). You may want to jump ahead to that now ….

## 7.2 Running BLAST locally

### 7.2.1 Introduction

Running BLAST locally (as opposed to over the internet, see Section 7.1) has at least major two advantages:

- Local BLAST may be faster than BLAST over the internet;
- Local BLAST allows you to make your own database to search for sequences against.

Dealing with proprietary or unpublished sequence data can be another reason to run BLAST locally. You may not be allowed to redistribute the sequences, so submitting them to the NCBI as a BLAST query would not be an option.

Unfortunately, there are some major drawbacks too – installing all the bits and getting it setup right takes some effort:

- Local BLAST requires command line tools to be installed.
- Local BLAST requires (large) BLAST databases to be setup (and potentially kept up to date).

To further confuse matters there are several different BLAST packages available, and there are also other tools which can produce imitation BLAST output files, such as BLAT.

### 7.2.2 Standalone NCBI BLAST+

The “new” NCBI BLAST+ suite was released in 2009. This replaces the old NCBI “legacy” BLAST package (see below).

This section will show briefly how to use these tools from within Python. If you have already read or tried the alignment tool examples in Section 6.4 this should all seem quite straightforward. First, we construct a command line string (as you would type in at the command line prompt if running standalone BLAST by hand). Then we can execute this command from within Python.

For example, taking a FASTA file of gene nucleotide sequences, you might want to run a BLASTX (translation) search against the non-redundant (NR) protein database. Assuming you (or your systems administrator) has downloaded and installed the NR database, you might run:

    blastx -query opuntia.fasta -db nr -out opuntia.xml -evalue 0.001 -outfmt 5

This should run BLASTX against the NR database, using an expectation cut-off value of 0.001 and produce XML output to the specified file (which we can then parse). On my computer this takes about six minutes - a good reason to save the output to a file so you can repeat any analysis as needed.

From within Biopython we can use the NCBI BLASTX wrapper from the `Bio.Blast.Applications` module to build the command line string, and run it:

    >>> from Bio.Blast.Applications import NcbiblastxCommandline
    >>> help(NcbiblastxCommandline)
    ...
    >>> blastx_cline = NcbiblastxCommandline(query="opuntia.fasta", db="nr", evalue=0.001,
    ...                                      outfmt=5, out="opuntia.xml")
    >>> blastx_cline
    NcbiblastxCommandline(cmd='blastx', out='opuntia.xml', outfmt=5, query='opuntia.fasta',
    db='nr', evalue=0.001)
    >>> print(blastx_cline)
    blastx -out opuntia.xml -outfmt 5 -query opuntia.fasta -db nr -evalue 0.001
    >>> stdout, stderr = blastx_cline()

In this example there shouldn’t be any output from BLASTX to the terminal, so stdout and stderr should be empty. You may want to check the output file `opuntia.xml` has been created.

As you may recall from earlier examples in the tutorial, the `opuntia.fasta` contains seven sequences, so the BLAST XML output should contain multiple results. Therefore use `Bio.Blast.NCBIXML.parse()` to parse it as described below in Section 7.3.

### 7.2.3 Other versions of BLAST

NCBI BLAST+ (written in C++) was first released in 2009 as a replacement for the original NCBI “legacy” BLAST (written in C) which is no longer being updated. There were a lot of changes – the old version had a single core command line tool `blastall` which covered multiple different BLAST search types (which are now separate commands in BLAST+), and all the command line options were renamed. Biopython’s wrappers for the NCBI “legacy” BLAST tools have been deprecated and will be removed in a future release. To try to avoid confusion, we do not cover calling these old tools from Biopython in this tutorial.

You may also come across Washington University BLAST (WU-BLAST), and its successor, Advanced Biocomputing BLAST (AB-BLAST, released in 2009, not free/open source). These packages include the command line tools `wu-blastall` and `ab-blastall`, which mimicked `blastall` from the NCBI “legacy” BLAST suite. Biopython does not currently provide wrappers for calling these tools, but should be able to parse any NCBI compatible output from them.

## 7.3 Parsing BLAST output

As mentioned above, BLAST can generate output in various formats, such as XML, HTML, and plain text. Originally, Biopython had parsers for BLAST plain text and HTML output, as these were the only output formats offered at the time. Unfortunately, the BLAST output in these formats kept changing, each time breaking the Biopython parsers. Our HTML BLAST parser has been removed, but the plain text BLAST parser is still available (see Section 7.5). Use it at your own risk, it may or may not work, depending on which BLAST version you’re using.

As keeping up with changes in BLAST became a hopeless endeavor, especially with users running different BLAST versions, we now recommend to parse the output in XML format, which can be generated by recent versions of BLAST. Not only is the XML output more stable than the plain text and HTML output, it is also much easier to parse automatically, making Biopython a whole lot more stable.

You can get BLAST output in XML format in various ways. For the parser, it doesn’t matter how the output was generated, as long as it is in the XML format.

- You can use Biopython to run BLAST over the internet, as described in section 7.1.
- You can use Biopython to run BLAST locally, as described in section 7.2.
- You can do the BLAST search yourself on the NCBI site through your web browser, and then save the results. You need to choose XML as the format in which to receive the results, and save the final BLAST page you get (you know, the one with all of the interesting results!) to a file.
- You can also run BLAST locally without using Biopython, and save the output in a file. Again, you need to choose XML as the format in which to receive the results.

The important point is that you do not have to use Biopython scripts to fetch the data in order to be able to parse it. Doing things in one of these ways, you then need to get a handle to the results. In Python, a handle is just a nice general way of describing input to any info source so that the info can be retrieved using `read()` and `readline()` functions (see Section sec:appendix-handles).

If you followed the code above for interacting with BLAST through a script, then you already have `result_handle`, the handle to the BLAST results. For example, using a GI number to do an online search:

    >>> from Bio.Blast import NCBIWWW
    >>> result_handle = NCBIWWW.qblast("blastn", "nt", "8332116")

If instead you ran BLAST some other way, and have the BLAST output (in XML format) in the file `my_blast.xml`, all you need to do is to open the file for reading:

    >>> result_handle = open("my_blast.xml")

Now that we’ve got a handle, we are ready to parse the output. The code to parse it is really quite small. If you expect a single BLAST result (i.e., you used a single query):

    >>> from Bio.Blast import NCBIXML
    >>> blast_record = NCBIXML.read(result_handle)

or, if you have lots of results (i.e., multiple query sequences):

    >>> from Bio.Blast import NCBIXML
    >>> blast_records = NCBIXML.parse(result_handle)

Just like `Bio.SeqIO` and `Bio.AlignIO` (see Chapters 5 and 6), we have a pair of input functions, `read` and `parse`, where `read` is for when you have exactly one object, and `parse` is an iterator for when you can have lots of objects – but instead of getting `SeqRecord` or `MultipleSeqAlignment` objects, we get BLAST record objects.

To be able to handle the situation where the BLAST file may be huge, containing thousands of results, `NCBIXML.parse()` returns an iterator. In plain English, an iterator allows you to step through the BLAST output, retrieving BLAST records one by one for each BLAST search result:

    >>> from Bio.Blast import NCBIXML
    >>> blast_records = NCBIXML.parse(result_handle)
    >>> blast_record = next(blast_records)
    # ... do something with blast_record
    >>> blast_record = next(blast_records)
    # ... do something with blast_record
    >>> blast_record = next(blast_records)
    # ... do something with blast_record
    >>> blast_record = next(blast_records)
    Traceback (most recent call last):
      File "<stdin>", line 1, in <module>
    StopIteration
    # No further records

Or, you can use a `for`-loop:

    >>> for blast_record in blast_records:
    ...     # Do something with blast_record

Note though that you can step through the BLAST records only once. Usually, from each BLAST record you would save the information that you are interested in. If you want to save all returned BLAST records, you can convert the iterator into a list:

    >>> blast_records = list(blast_records)

Now you can access each BLAST record in the list with an index as usual. If your BLAST file is huge though, you may run into memory problems trying to save them all in a list.

Usually, you’ll be running one BLAST search at a time. Then, all you need to do is to pick up the first (and only) BLAST record in `blast_records`:

    >>> from Bio.Blast import NCBIXML
    >>> blast_records = NCBIXML.parse(result_handle)
    >>> blast_record = next(blast_records)

or more elegantly:

    >>> from Bio.Blast import NCBIXML
    >>> blast_record = NCBIXML.read(result_handle)

I guess by now you’re wondering what is in a BLAST record.

## 7.4 The BLAST record class

A BLAST Record contains everything you might ever want to extract from the BLAST output. Right now we’ll just show an example of how to get some info out of the BLAST report, but if you want something in particular that is not described here, look at the info on the record class in detail, and take a gander into the code or automatically generated documentation – the docstrings have lots of good info about what is stored in each piece of information.

To continue with our example, let’s just print out some summary info about all hits in our blast report greater than a particular threshold. The following code does this:

    >>> E_VALUE_THRESH = 0.04

    >>> for alignment in blast_record.alignments:
    ...     for hsp in alignment.hsps:
    ...         if hsp.expect < E_VALUE_THRESH:
    ...             print('****Alignment****')
    ...             print('sequence:', alignment.title)
    ...             print('length:', alignment.length)
    ...             print('e value:', hsp.expect)
    ...             print(hsp.query[0:75] + '...')
    ...             print(hsp.match[0:75] + '...')
    ...             print(hsp.sbjct[0:75] + '...')

This will print out summary reports like the following:

    ****Alignment****
    sequence: >gb|AF283004.1|AF283004 Arabidopsis thaliana cold acclimation protein WCOR413-like protein
    alpha form mRNA, complete cds
    length: 783
    e value: 0.034
    tacttgttgatattggatcgaacaaactggagaaccaacatgctcacgtcacttttagtcccttacatattcctc...
    ||||||||| | ||||||||||| || ||||  || || |||||||| |||||| |  | |||||||| ||| ||...
    tacttgttggtgttggatcgaaccaattggaagacgaatatgctcacatcacttctcattccttacatcttcttc...

Basically, you can do anything you want to with the info in the BLAST report once you have parsed it. This will, of course, depend on what you want to use it for, but hopefully this helps you get started on doing what you need to do!

An important consideration for extracting information from a BLAST report is the type of objects that the information is stored in. In Biopython, the parsers return `Record` objects, either `Blast` or `PSIBlast` depending on what you are parsing. These objects are defined in `Bio.Blast.Record` and are quite complete.

Here are my attempts at UML class diagrams for the `Blast` and `PSIBlast` record classes. If you are good at UML and see mistakes/improvements that can be made, please let me know. The Blast class diagram is shown in Figure 7.4.

The PSIBlast record object is similar, but has support for the rounds that are used in the iteration steps of PSIBlast. The class diagram for PSIBlast is shown in Figure 7.4.

## 7.5 Deprecated BLAST parsers

Older versions of Biopython had parsers for BLAST output in plain text or HTML format. Over the years, we discovered that it is very hard to maintain these parsers in working order. Basically, any small change to the BLAST output in newly released BLAST versions tends to cause the plain text and HTML parsers to break. We therefore recommend parsing BLAST output in XML format, as described in section 7.3.

Depending on which BLAST versions or programs you’re using, our plain text BLAST parser may or may not work. Use it at your own risk!

### 7.5.1 Parsing plain-text BLAST output

The plain text BLAST parser is located in `Bio.Blast.NCBIStandalone`.

As with the XML parser, we need to have a handle object that we can pass to the parser. The handle must implement the `readline()` method and do this properly. The common ways to get such a handle are to either use the provided `blastall` or `blastpgp` functions to run the local blast, or to run a local blast via the command line, and then do something like the following:

    >>> result_handle = open("my_file_of_blast_output.txt")

Well, now that we’ve got a handle (which we’ll call `result_handle`), we are ready to parse it. This can be done with the following code:

    >>> from Bio.Blast import NCBIStandalone
    >>> blast_parser = NCBIStandalone.BlastParser()
    >>> blast_record = blast_parser.parse(result_handle)

This will parse the BLAST report into a Blast Record class (either a Blast or a PSIBlast record, depending on what you are parsing) so that you can extract the information from it. In our case, let’s just print out a quick summary of all of the alignments greater than some threshold value.

    >>> E_VALUE_THRESH = 0.04
    >>> for alignment in blast_record.alignments:
    ...     for hsp in alignment.hsps:
    ...         if hsp.expect < E_VALUE_THRESH:
    ...             print('****Alignment****')
    ...             print('sequence:', alignment.title)
    ...             print('length:', alignment.length)
    ...             print('e value:', hsp.expect)
    ...             print(hsp.query[0:75] + '...')
    ...             print(hsp.match[0:75] + '...')
    ...             print(hsp.sbjct[0:75] + '...')

If you also read the section 7.3 on parsing BLAST XML output, you’ll notice that the above code is identical to what is found in that section. Once you parse something into a record class you can deal with it independent of the format of the original BLAST info you were parsing. Pretty snazzy!

Sure, parsing one record is great, but I’ve got a BLAST file with tons of records – how can I parse them all? Well, fear not, the answer lies in the very next section.

### 7.5.2 Parsing a plain-text BLAST file full of BLAST runs

We can do this using the blast iterator. To set up an iterator, we first set up a parser, to parse our blast reports in Blast Record objects:

    >>> from Bio.Blast import NCBIStandalone
    >>> blast_parser = NCBIStandalone.BlastParser()

Then we will assume we have a handle to a bunch of blast records, which we’ll call `result_handle`. Getting a handle is described in full detail above in the blast parsing sections.

Now that we’ve got a parser and a handle, we are ready to set up the iterator with the following command:

    >>> blast_iterator = NCBIStandalone.Iterator(result_handle, blast_parser)

The second option, the parser, is optional. If we don’t supply a parser, then the iterator will just return the raw BLAST reports one at a time.

Now that we’ve got an iterator, we start retrieving blast records (generated by our parser) using `next()`:

    >>> blast_record = next(blast_iterator)

Each call to next will return a new record that we can deal with. Now we can iterate through these records and generate our old favorite, a nice little blast report:

    >>> for blast_record in blast_iterator:
    ...     E_VALUE_THRESH = 0.04
    ...     for alignment in blast_record.alignments:
    ...         for hsp in alignment.hsps:
    ...             if hsp.expect < E_VALUE_THRESH:
    ...                 print('****Alignment****')
    ...                 print('sequence:', alignment.title)
    ...                 print('length:', alignment.length)
    ...                 print('e value:', hsp.expect)
    ...                 if len(hsp.query) > 75:
    ...                     dots = '...'
    ...                 else:
    ...                     dots = ''
    ...                 print(hsp.query[0:75] + dots)
    ...                 print(hsp.match[0:75] + dots)
    ...                 print(hsp.sbjct[0:75] + dots)

The iterator allows you to deal with huge blast records without any memory problems, since things are read in one at a time. I have parsed tremendously huge files without any problems using this.

### 7.5.3 Finding a bad record somewhere in a huge plain-text BLAST file

One really ugly problem that happens to me is that I’ll be parsing a huge blast file for a while, and the parser will bomb out with a ValueError. This is a serious problem, since you can’t tell if the ValueError is due to a parser problem, or a problem with the BLAST. To make it even worse, you have no idea where the parse failed, so you can’t just ignore the error, since this could be ignoring an important data point.

We used to have to make a little script to get around this problem, but the `Bio.Blast` module now includes a `BlastErrorParser` which really helps make this easier. The `BlastErrorParser` works very similar to the regular `BlastParser`, but it adds an extra layer of work by catching ValueErrors that are generated by the parser, and attempting to diagnose the errors.

Let’s take a look at using this parser – first we define the file we are going to parse and the file to write the problem reports to:

    >>> import os
    >>> blast_file = os.path.join(os.getcwd(), "blast_out", "big_blast.out")
    >>> error_file = os.path.join(os.getcwd(), "blast_out", "big_blast.problems")

Now we want to get a `BlastErrorParser`:

    >>> from Bio.Blast import NCBIStandalone
    >>> error_handle = open(error_file, "w")
    >>> blast_error_parser = NCBIStandalone.BlastErrorParser(error_handle)

Notice that the parser take an optional argument of a handle. If a handle is passed, then the parser will write any blast records which generate a ValueError to this handle. Otherwise, these records will not be recorded.

Now we can use the `BlastErrorParser` just like a regular blast parser. Specifically, we might want to make an iterator that goes through our blast records one at a time and parses them with the error parser:

    >>> result_handle = open(blast_file)
    >>> iterator = NCBIStandalone.Iterator(result_handle, blast_error_parser)

We can read these records one a time, but now we can catch and deal with errors that are due to problems with Blast (and not with the parser itself):

    >>> try:
    ...     next_record = next(iterator)
    ... except NCBIStandalone.LowQualityBlastError as info:
    ...     print("LowQualityBlastError detected in id %s" % info[1])

The `next()` functionality is normally called indirectly via a `for`-loop. Right now the `BlastErrorParser` can generate the following errors:

- `ValueError` – This is the same error generated by the regular BlastParser, and is due to the parser not being able to parse a specific file. This is normally either due to a bug in the parser, or some kind of discrepancy between the version of BLAST you are using and the versions the parser is able to handle.
- `LowQualityBlastError` – When BLASTing a sequence that is of really bad quality (for example, a short sequence that is basically a stretch of one nucleotide), it seems that Blast ends up masking out the entire sequence and ending up with nothing to parse. In this case it will produce a truncated report that causes the parser to generate a ValueError. `LowQualityBlastError` is reported in these cases. This error returns an info item with the following information:
  - `item[0]` – The error message
  - `item[1]` – The id of the input record that caused the error. This is really useful if you want to record all of the records that are causing problems.

As mentioned, with each error generated, the BlastErrorParser will write the offending record to the specified `error_handle`. You can then go ahead and look and these and deal with them as you see fit. Either you will be able to debug the parser with a single blast report, or will find out problems in your blast runs. Either way, it will definitely be a useful experience!

Hopefully the `BlastErrorParser` will make it much easier to debug and deal with large Blast files.

## 7.6 Dealing with PSI-BLAST

You can run the standalone version of PSI-BLAST (the legacy NCBI command line tool `blastpgp`, or its replacement `psiblast`) using the wrappers in `Bio.Blast.Applications` module.

At the time of writing, the NCBI do not appear to support tools running a PSI-BLAST search via the internet.

Note that the `Bio.Blast.NCBIXML` parser can read the XML output from current versions of PSI-BLAST, but information like which sequences in each iteration is new or reused isn’t present in the XML file. If you care about this information you may have more joy with the plain text output and the `PSIBlastParser` in `Bio.Blast.NCBIStandalone`.

## 7.7 Dealing with RPS-BLAST

You can run the standalone version of RPS-BLAST (either the legacy NCBI command line tool `rpsblast`, or its replacement with the same name) using the wrappers in `Bio.Blast.Applications` module.

At the time of writing, the NCBI do not appear to support tools running an RPS-BLAST search via the internet.

You can use the `Bio.Blast.NCBIXML` parser to read the XML output from current versions of RPS-BLAST.

# Chapter 8 BLAST and other sequence search tools (experimental code)

WARNING: This chapter of the Tutorial describes an experimental module in Biopython. It is being included in Biopython and documented here in the tutorial in a pre-final state to allow a period of feedback and refinement before we declare it stable. Until then the details will probably change, and any scripts using the current `Bio.SearchIO` would need to be updated. Please keep this in mind! For stable code working with NCBI BLAST, please continue to use Bio.Blast described in the preceding Chapter 7.

Biological sequence identification is an integral part of bioinformatics. Several tools are available for this, each with their own algorithms and approaches, such as BLAST (arguably the most popular), FASTA, HMMER, and many more. In general, these tools usually use your sequence to search a database of potential matches. With the growing number of known sequences (hence the growing number of potential matches), interpreting the results becomes increasingly hard as there could be hundreds or even thousands of potential matches. Naturally, manual interpretation of these searches’ results is out of the question. Moreover, you often need to work with several sequence search tools, each with its own statistics, conventions, and output format. Imagine how daunting it would be when you need to work with multiple sequences using multiple search tools.

We know this too well ourselves, which is why we created the `Bio.SearchIO` submodule in Biopython. `Bio.SearchIO` allows you to extract information from your search results in a convenient way, while also dealing with the different standards and conventions used by different search tools. The name `SearchIO` is a homage to BioPerl’s module of the same name.

In this chapter, we’ll go through the main features of `Bio.SearchIO` to show what it can do for you. We’ll use two popular search tools along the way: BLAST and BLAT. They are used merely for illustrative purposes, and you should be able to adapt the workflow to any other search tools supported by `Bio.SearchIO` in a breeze. You’re very welcome to follow along with the search output files we’ll be using. The BLAST output file can be downloaded here, and the BLAT output file here. Both output files were generated using this sequence:

    >mystery_seq
    CCCTCTACAGGGAAGCGCTTTCTGTTGTCTGAAAGAAAAGAAAGTGCTTCCTTTTAGAGGG

The BLAST result is an XML file generated using `blastn` against the NCBI `refseq_rna` database. For BLAT, the sequence database was the February 2009 `hg19` human genome draft and the output format is PSL.

We’ll start from an introduction to the `Bio.SearchIO` object model. The model is the representation of your search results, thus it is core to `Bio.SearchIO` itself. After that, we’ll check out the main functions in `Bio.SearchIO` that you may often use.

Now that we’re all set, let’s go to the first step: introducing the core object model.

## 8.1 The SearchIO object model

Despite the wildly differing output styles among many sequence search tools, it turns out that their underlying concept is similar:

- The output file may contain results from one or more search queries.
- In each search query, you will see one or more hits from the given search database.
- In each database hit, you will see one or more regions containing the actual sequence alignment between your query sequence and the database sequence.
- Some programs like BLAT or Exonerate may further split these regions into several alignment fragments (or blocks in BLAT and possibly exons in exonerate). This is not something you always see, as programs like BLAST and HMMER do not do this.

Realizing this generality, we decided use it as base for creating the `Bio.SearchIO` object model. The object model consists of a nested hierarchy of Python objects, each one representing one concept outlined above. These objects are:

- `QueryResult`, to represent a single search query.
- `Hit`, to represent a single database hit. `Hit` objects are contained within `QueryResult` and in each `QueryResult` there is zero or more `Hit` objects.
- `HSP` (short for high-scoring pair), to represent region(s) of significant alignments between query and hit sequences. `HSP` objects are contained within `Hit` objects and each `Hit` has one or more `HSP` objects.
- `HSPFragment`, to represent a single contiguous alignment between query and hit sequences. `HSPFragment` objects are contained within `HSP` objects. Most sequence search tools like BLAST and HMMER unify `HSP` and `HSPFragment` objects as each `HSP` will only have a single `HSPFragment`. However there are tools like BLAT and Exonerate that produce `HSP` containing multiple `HSPFragment`. Don’t worry if this seems a tad confusing now, we’ll elaborate more on these two objects later on.

These four objects are the ones you will interact with when you use `Bio.SearchIO`. They are created using one of the main `Bio.SearchIO` methods: `read`, `parse`, `index`, or `index_db`. The details of these methods are provided in later sections. For this section, we’ll only be using read and parse. These functions behave similarly to their `Bio.SeqIO` and `Bio.AlignIO` counterparts:

- `read` is used for search output files with a single query and returns a `QueryResult` object
- `parse` is used for search output files with multiple queries and returns a generator that yields `QueryResult` objects

With that settled, let’s start probing each `Bio.SearchIO` object, beginning with `QueryResult`.

### 8.1.1 QueryResult

The QueryResult object represents a single search query and contains zero or more Hit objects. Let’s see what it looks like using the BLAST file we have:

    >>> from Bio import SearchIO
    >>> blast_qresult = SearchIO.read('my_blast.xml', 'blast-xml')
    >>> print(blast_qresult)
    Program: blastn (2.2.27+)
      Query: 42291 (61)
             mystery_seq
     Target: refseq_rna
       Hits: ----  -----  ----------------------------------------------------------
                #  # HSP  ID + description
             ----  -----  ----------------------------------------------------------
                0      1  gi|262205317|ref|NR_030195.1|  Homo sapiens microRNA 52...
                1      1  gi|301171311|ref|NR_035856.1|  Pan troglodytes microRNA...
                2      1  gi|270133242|ref|NR_032573.1|  Macaca mulatta microRNA ...
                3      2  gi|301171322|ref|NR_035857.1|  Pan troglodytes microRNA...
                4      1  gi|301171267|ref|NR_035851.1|  Pan troglodytes microRNA...
                5      2  gi|262205330|ref|NR_030198.1|  Homo sapiens microRNA 52...
                6      1  gi|262205302|ref|NR_030191.1|  Homo sapiens microRNA 51...
                7      1  gi|301171259|ref|NR_035850.1|  Pan troglodytes microRNA...
                8      1  gi|262205451|ref|NR_030222.1|  Homo sapiens microRNA 51...
                9      2  gi|301171447|ref|NR_035871.1|  Pan troglodytes microRNA...
               10      1  gi|301171276|ref|NR_035852.1|  Pan troglodytes microRNA...
               11      1  gi|262205290|ref|NR_030188.1|  Homo sapiens microRNA 51...
               12      1  gi|301171354|ref|NR_035860.1|  Pan troglodytes microRNA...
               13      1  gi|262205281|ref|NR_030186.1|  Homo sapiens microRNA 52...
               14      2  gi|262205298|ref|NR_030190.1|  Homo sapiens microRNA 52...
               15      1  gi|301171394|ref|NR_035865.1|  Pan troglodytes microRNA...
               16      1  gi|262205429|ref|NR_030218.1|  Homo sapiens microRNA 51...
               17      1  gi|262205423|ref|NR_030217.1|  Homo sapiens microRNA 52...
               18      1  gi|301171401|ref|NR_035866.1|  Pan troglodytes microRNA...
               19      1  gi|270133247|ref|NR_032574.1|  Macaca mulatta microRNA ...
               20      1  gi|262205309|ref|NR_030193.1|  Homo sapiens microRNA 52...
               21      2  gi|270132717|ref|NR_032716.1|  Macaca mulatta microRNA ...
               22      2  gi|301171437|ref|NR_035870.1|  Pan troglodytes microRNA...
               23      2  gi|270133306|ref|NR_032587.1|  Macaca mulatta microRNA ...
               24      2  gi|301171428|ref|NR_035869.1|  Pan troglodytes microRNA...
               25      1  gi|301171211|ref|NR_035845.1|  Pan troglodytes microRNA...
               26      2  gi|301171153|ref|NR_035838.1|  Pan troglodytes microRNA...
               27      2  gi|301171146|ref|NR_035837.1|  Pan troglodytes microRNA...
               28      2  gi|270133254|ref|NR_032575.1|  Macaca mulatta microRNA ...
               29      2  gi|262205445|ref|NR_030221.1|  Homo sapiens microRNA 51...
               ~~~
               97      1  gi|356517317|ref|XM_003527287.1|  PREDICTED: Glycine ma...
               98      1  gi|297814701|ref|XM_002875188.1|  Arabidopsis lyrata su...
               99      1  gi|397513516|ref|XM_003827011.1|  PREDICTED: Pan panisc...

We’ve just begun to scratch the surface of the object model, but you can see that there’s already some useful information. By invoking `print` on the `QueryResult` object, you can see:

- The program name and version (blastn version 2.2.27+)
- The query ID, description, and its sequence length (ID is 42291, description is ‘mystery_seq’, and it is 61 nucleotides long)
- The target database to search against (refseq_rna)
- A quick overview of the resulting hits. For our query sequence, there are 100 potential hits (numbered 0–99 in the table). For each hit, we can also see how many HSPs it contains, its ID, and a snippet of its description. Notice here that `Bio.SearchIO` truncates the hit table overview, by showing only hits numbered 0–29, and then 97–99.

Now let’s check our BLAT results using the same procedure as above:

    >>> blat_qresult = SearchIO.read('my_blat.psl', 'blat-psl')
    >>> print(blat_qresult)
    Program: blat (<unknown version>)
      Query: mystery_seq (61)
             <unknown description>
     Target: <unknown target>
       Hits: ----  -----  ----------------------------------------------------------
                #  # HSP  ID + description
             ----  -----  ----------------------------------------------------------
                0     17  chr19  <unknown description>

You’ll immediately notice that there are some differences. Some of these are caused by the way PSL format stores its details, as you’ll see. The rest are caused by the genuine program and target database differences between our BLAST and BLAT searches:

- The program name and version. `Bio.SearchIO` knows that the program is BLAT, but in the output file there is no information regarding the program version so it defaults to ‘<unknown version>’.
- The query ID, description, and its sequence length. Notice here that these details are slightly different from the ones we saw in BLAST. The ID is ‘mystery_seq’ instead of 42991, there is no known description, but the query length is still 61. This is actually a difference introduced by the file formats themselves. BLAST sometimes creates its own query IDs and uses your original ID as the sequence description.
- The target database is not known, as it is not stated in the BLAT output file.
- And finally, the list of hits we have is completely different. Here, we see that our query sequence only hits the ‘chr19’ database entry, but in it we see 17 HSP regions. This should not be surprising however, given that we are using a different program, each with its own target database.

All the details you saw when invoking the `print` method can be accessed individually using Python’s object attribute access notation (a.k.a. the dot notation). There are also other format-specific attributes that you can access using the same method.

    >>> print("%s %s" % (blast_qresult.program, blast_qresult.version))
    blastn 2.2.27+
    >>> print("%s %s" % (blat_qresult.program, blat_qresult.version))
    blat <unknown version>
    >>> blast_qresult.param_evalue_threshold    # blast-xml specific
    10.0

For a complete list of accessible attributes, you can check each format-specific documentation. Here are the ones for BLAST and for BLAT.

Having looked at using `print` on `QueryResult` objects, let’s drill down deeper. What exactly is a `QueryResult`? In terms of Python objects, `QueryResult` is a hybrid between a list and a dictionary. In other words, it is a container object with all the convenient features of lists and dictionaries.

Like Python lists and dictionaries, `QueryResult` objects are iterable. Each iteration returns a `Hit` object:

    >>> for hit in blast_qresult:
    ...     hit
    Hit(id='gi|262205317|ref|NR_030195.1|', query_id='42291', 1 hsps)
    Hit(id='gi|301171311|ref|NR_035856.1|', query_id='42291', 1 hsps)
    Hit(id='gi|270133242|ref|NR_032573.1|', query_id='42291', 1 hsps)
    Hit(id='gi|301171322|ref|NR_035857.1|', query_id='42291', 2 hsps)
    Hit(id='gi|301171267|ref|NR_035851.1|', query_id='42291', 1 hsps)
    ...

To check how many items (hits) a `QueryResult` has, you can simply invoke Python’s `len` method:

    >>> len(blast_qresult)
    100
    >>> len(blat_qresult)
    1

Like Python lists, you can retrieve items (hits) from a `QueryResult` using the slice notation:

    >>> blast_qresult[0]        # retrieves the top hit
    Hit(id='gi|262205317|ref|NR_030195.1|', query_id='42291', 1 hsps)
    >>> blast_qresult[-1]       # retrieves the last hit
    Hit(id='gi|397513516|ref|XM_003827011.1|', query_id='42291', 1 hsps)

To retrieve multiple hits, you can slice `QueryResult` objects using the slice notation as well. In this case, the slice will return a new `QueryResult` object containing only the sliced hits:

    >>> blast_slice = blast_qresult[:3]     # slices the first three hits
    >>> print(blast_slice)
    Program: blastn (2.2.27+)
      Query: 42291 (61)
             mystery_seq
     Target: refseq_rna
       Hits: ----  -----  ----------------------------------------------------------
                #  # HSP  ID + description
             ----  -----  ----------------------------------------------------------
                0      1  gi|262205317|ref|NR_030195.1|  Homo sapiens microRNA 52...
                1      1  gi|301171311|ref|NR_035856.1|  Pan troglodytes microRNA...
                2      1  gi|270133242|ref|NR_032573.1|  Macaca mulatta microRNA ...

Like Python dictionaries, you can also retrieve hits using the hit’s ID. This is particularly useful if you know a given hit ID exists within a search query results:

    >>> blast_qresult['gi|262205317|ref|NR_030195.1|']
    Hit(id='gi|262205317|ref|NR_030195.1|', query_id='42291', 1 hsps)

You can also get a full list of `Hit` objects using `hits` and a full list of `Hit` IDs using `hit_keys`:

    >>> blast_qresult.hits
    [...]       # list of all hits
    >>> blast_qresult.hit_keys
    [...]       # list of all hit IDs

What if you just want to check whether a particular hit is present in the query results? You can do a simple Python membership test using the `in` keyword:

    >>> 'gi|262205317|ref|NR_030195.1|' in blast_qresult
    True
    >>> 'gi|262205317|ref|NR_030194.1|' in blast_qresult
    False

Sometimes, knowing whether a hit is present is not enough; you also want to know the rank of the hit. Here, the `index` method comes to the rescue:

    >>> blast_qresult.index('gi|301171437|ref|NR_035870.1|')
    22

Remember that we’re using Python’s indexing style here, which is zero-based. This means our hit above is ranked at no. 23, not 22.

Also, note that the hit rank you see here is based on the native hit ordering present in the original search output file. Different search tools may order these hits based on different criteria.

If the native hit ordering doesn’t suit your taste, you can use the `sort` method of the `QueryResult` object. It is very similar to Python’s `list.sort` method, with the addition of an option to create a new sorted `QueryResult` object or not.

Here is an example of using `QueryResult.sort` to sort the hits based on each hit’s full sequence length. For this particular sort, we’ll set the `in_place` flag to `False` so that sorting will return a new `QueryResult` object and leave our initial object unsorted. We’ll also set the `reverse` flag to `True` so that we sort in descending order.

    >>> for hit in blast_qresult[:5]:   # id and sequence length of the first five hits
    ...     print("%s %i" % (hit.id, hit.seq_len))
    ...
    gi|262205317|ref|NR_030195.1| 61
    gi|301171311|ref|NR_035856.1| 60
    gi|270133242|ref|NR_032573.1| 85
    gi|301171322|ref|NR_035857.1| 86
    gi|301171267|ref|NR_035851.1| 80

    >>> sort_key = lambda hit: hit.seq_len
    >>> sorted_qresult = blast_qresult.sort(key=sort_key, reverse=True, in_place=False)
    >>> for hit in sorted_qresult[:5]:
    ...     print("%s %i" % (hit.id, hit.seq_len))
    ...
    gi|397513516|ref|XM_003827011.1| 6002
    gi|390332045|ref|XM_776818.2| 4082
    gi|390332043|ref|XM_003723358.1| 4079
    gi|356517317|ref|XM_003527287.1| 3251
    gi|356543101|ref|XM_003539954.1| 2936

The advantage of having the `in_place` flag here is that we’re preserving the native ordering, so we may use it again later. You should note that this is not the default behavior of `QueryResult.sort`, however, which is why we needed to set the `in_place` flag to `True` explicitly.

At this point, you’ve known enough about `QueryResult` objects to make it work for you. But before we go on to the next object in the `Bio.SearchIO` model, let’s take a look at two more sets of methods that could make it even easier to work with `QueryResult` objects: the `filter` and `map` methods.

If you’re familiar with Python’s list comprehensions, generator expressions or the built in `filter` and `map` functions, you’ll know how useful they are for working with list-like objects (if you’re not, check them out!). You can use these built in methods to manipulate `QueryResult` objects, but you’ll end up with regular Python lists and lose the ability to do more interesting manipulations.

That’s why, `QueryResult` objects provide its own flavor of `filter` and `map` methods. Analogous to `filter`, there are `hit_filter` and `hsp_filter` methods. As their name implies, these methods filter its `QueryResult` object either on its `Hit` objects or `HSP` objects. Similarly, analogous to `map`, `QueryResult` objects also provide the `hit_map` and `hsp_map` methods. These methods apply a given function to all hits or HSPs in a `QueryResult` object, respectively.

Let’s see these methods in action, beginning with `hit_filter`. This method accepts a callback function that checks whether a given `Hit` object passes the condition you set or not. In other words, the function must accept as its argument a single `Hit` object and returns `True` or `False`.

Here is an example of using `hit_filter` to filter out `Hit` objects that only have one HSP:

    >>> filter_func = lambda hit: len(hit.hsps) > 1     # the callback function
    >>> len(blast_qresult)      # no. of hits before filtering
    100
    >>> filtered_qresult = blast_qresult.hit_filter(filter_func)
    >>> len(filtered_qresult)   # no. of hits after filtering
    37
    >>> for hit in filtered_qresult[:5]:    # quick check for the hit lengths
    ...     print("%s %i" % (hit.id, len(hit.hsps)))
    gi|301171322|ref|NR_035857.1| 2
    gi|262205330|ref|NR_030198.1| 2
    gi|301171447|ref|NR_035871.1| 2
    gi|262205298|ref|NR_030190.1| 2
    gi|270132717|ref|NR_032716.1| 2

`hsp_filter` works the same as `hit_filter`, only instead of looking at the `Hit` objects, it performs filtering on the `HSP` objects in each hits.

As for the `map` methods, they too accept a callback function as their arguments. However, instead of returning `True` or `False`, the callback function must return the modified `Hit` or `HSP` object (depending on whether you’re using `hit_map` or `hsp_map`).

Let’s see an example where we’re using `hit_map` to rename the hit IDs:

    >>> def map_func(hit):
    ...     hit.id = hit.id.split('|')[3]   # renames 'gi|301171322|ref|NR_035857.1|' to 'NR_035857.1'
    ...     return hit
    ...
    >>> mapped_qresult = blast_qresult.hit_map(map_func)
    >>> for hit in mapped_qresult[:5]:
    ...     print(hit.id)
    NR_030195.1
    NR_035856.1
    NR_032573.1
    NR_035857.1
    NR_035851.1

Again, `hsp_map` works the same as `hit_map`, but on `HSP` objects instead of `Hit` objects.

### 8.1.2 Hit

`Hit` objects represent all query results from a single database entry. They are the second-level container in the `Bio.SearchIO` object hierarchy. You’ve seen that they are contained by `QueryResult` objects, but they themselves contain `HSP` objects.

Let’s see what they look like, beginning with our BLAST search:

    >>> from Bio import SearchIO
    >>> blast_qresult = SearchIO.read('my_blast.xml', 'blast-xml')
    >>> blast_hit = blast_qresult[3]    # fourth hit from the query result
    >>> print(blast_hit)
    Query: 42291
           mystery_seq
      Hit: gi|301171322|ref|NR_035857.1| (86)
           Pan troglodytes microRNA mir-520c (MIR520C), microRNA
     HSPs: ----  --------  ---------  ------  ---------------  ---------------------
              #   E-value  Bit score    Span      Query range              Hit range
           ----  --------  ---------  ------  ---------------  ---------------------
              0   8.9e-20     100.47      60           [1:61]                [13:73]
              1   3.3e-06      55.39      60           [0:60]                [13:73]

You see that we’ve got the essentials covered here:

- The query ID and description is present. A hit is always tied to a query, so we want to keep track of the originating query as well. These values can be accessed from a hit using the `query_id` and `query_description` attributes.
- We also have the unique hit ID, description, and full sequence lengths. They can be accessed using `id`, `description`, and `seq_len`, respectively.
- Finally, there’s a table containing quick information about the HSPs this hit contains. In each row, we’ve got the important HSP details listed: the HSP index, its e-value, its bit score, its span (the alignment length including gaps), its query coordinates, and its hit coordinates.

Now let’s contrast this with the BLAT search. Remember that in the BLAT search we had one hit with 17 HSPs.

    >>> blat_qresult = SearchIO.read('my_blat.psl', 'blat-psl')
    >>> blat_hit = blat_qresult[0]      # the only hit
    >>> print(blat_hit)
    Query: mystery_seq
           <unknown description>
      Hit: chr19 (59128983)
           <unknown description>
     HSPs: ----  --------  ---------  ------  ---------------  ---------------------
              #   E-value  Bit score    Span      Query range              Hit range
           ----  --------  ---------  ------  ---------------  ---------------------
              0         ?          ?       ?           [0:61]    [54204480:54204541]
              1         ?          ?       ?           [0:61]    [54233104:54264463]
              2         ?          ?       ?           [0:61]    [54254477:54260071]
              3         ?          ?       ?           [1:61]    [54210720:54210780]
              4         ?          ?       ?           [0:60]    [54198476:54198536]
              5         ?          ?       ?           [0:61]    [54265610:54265671]
              6         ?          ?       ?           [0:61]    [54238143:54240175]
              7         ?          ?       ?           [0:60]    [54189735:54189795]
              8         ?          ?       ?           [0:61]    [54185425:54185486]
              9         ?          ?       ?           [0:60]    [54197657:54197717]
             10         ?          ?       ?           [0:61]    [54255662:54255723]
             11         ?          ?       ?           [0:61]    [54201651:54201712]
             12         ?          ?       ?           [8:60]    [54206009:54206061]
             13         ?          ?       ?          [10:61]    [54178987:54179038]
             14         ?          ?       ?           [8:61]    [54212018:54212071]
             15         ?          ?       ?           [8:51]    [54234278:54234321]
             16         ?          ?       ?           [8:61]    [54238143:54238196]

Here, we’ve got a similar level of detail as with the BLAST hit we saw earlier. There are some differences worth explaining, though:

- The e-value and bit score column values. As BLAT HSPs do not have e-values and bit scores, the display defaults to ‘?’.
- What about the span column? The span values is meant to display the complete alignment length, which consists of all residues and any gaps that may be present. The PSL format do not have this information readily available and `Bio.SearchIO` does not attempt to try guess what it is, so we get a ‘?’ similar to the e-value and bit score columns.

In terms of Python objects, `Hit` behaves almost the same as Python lists, but contain `HSP` objects exclusively. If you’re familiar with lists, you should encounter no difficulties working with the `Hit` object.

Just like Python lists, `Hit` objects are iterable, and each iteration returns one `HSP` object it contains:

    >>> for hsp in blast_hit:
    ...     hsp
    HSP(hit_id='gi|301171322|ref|NR_035857.1|', query_id='42291', 1 fragments)
    HSP(hit_id='gi|301171322|ref|NR_035857.1|', query_id='42291', 1 fragments)

You can invoke `len` on a `Hit` to see how many `HSP` objects it has:

    >>> len(blast_hit)
    2
    >>> len(blat_hit)
    17

You can use the slice notation on `Hit` objects, whether to retrieve single `HSP` or multiple `HSP` objects. Like `QueryResult`, if you slice for multiple `HSP`, a new `Hit` object will be returned containing only the sliced `HSP` objects:

    >>> blat_hit[0]                 # retrieve single items
    HSP(hit_id='chr19', query_id='mystery_seq', 1 fragments)
    >>> sliced_hit = blat_hit[4:9]  # retrieve multiple items
    >>> len(sliced_hit)
    5
    >>> print(sliced_hit)
    Query: mystery_seq
           <unknown description>
      Hit: chr19 (59128983)
           <unknown description>
     HSPs: ----  --------  ---------  ------  ---------------  ---------------------
              #   E-value  Bit score    Span      Query range              Hit range
           ----  --------  ---------  ------  ---------------  ---------------------
              0         ?          ?       ?           [0:60]    [54198476:54198536]
              1         ?          ?       ?           [0:61]    [54265610:54265671]
              2         ?          ?       ?           [0:61]    [54238143:54240175]
              3         ?          ?       ?           [0:60]    [54189735:54189795]
              4         ?          ?       ?           [0:61]    [54185425:54185486]

You can also sort the `HSP` inside a `Hit`, using the exact same arguments like the sort method you saw in the `QueryResult` object.

Finally, there are also the `filter` and `map` methods you can use on `Hit` objects. Unlike in the `QueryResult` object, `Hit` objects only have one variant of `filter` (`Hit.filter`) and one variant of `map` (`Hit.map`). Both of `Hit.filter` and `Hit.map` work on the `HSP` objects a `Hit` has.

### 8.1.3 HSP

`HSP` (high-scoring pair) represents region(s) in the hit sequence that contains significant alignment(s) to the query sequence. It contains the actual match between your query sequence and a database entry. As this match is determined by the sequence search tool’s algorithms, the `HSP` object contains the bulk of the statistics computed by the search tool. This also makes the distinction between `HSP` objects from different search tools more apparent compared to the differences you’ve seen in `QueryResult` or `Hit` objects.

Let’s see some examples from our BLAST and BLAT searches. We’ll look at the BLAST HSP first:

    >>> from Bio import SearchIO
    >>> blast_qresult = SearchIO.read('my_blast.xml', 'blast-xml')
    >>> blast_hsp = blast_qresult[0][0]    # first hit, first hsp
    >>> print(blast_hsp)
          Query: 42291 mystery_seq
            Hit: gi|262205317|ref|NR_030195.1| Homo sapiens microRNA 520b (MIR520...
    Query range: [0:61] (1)
      Hit range: [0:61] (1)
    Quick stats: evalue 4.9e-23; bitscore 111.29
      Fragments: 1 (61 columns)
         Query - CCCTCTACAGGGAAGCGCTTTCTGTTGTCTGAAAGAAAAGAAAGTGCTTCCTTTTAGAGGG
                 |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
           Hit - CCCTCTACAGGGAAGCGCTTTCTGTTGTCTGAAAGAAAAGAAAGTGCTTCCTTTTAGAGGG

Just like `QueryResult` and `Hit`, invoking `print` on an `HSP` shows its general details:

- There are the query and hit IDs and descriptions. We need these to identify our `HSP`.
- We’ve also got the matching range of the query and hit sequences. The slice notation we’re using here is an indication that the range is displayed using Python’s indexing style (zero-based, half open). The number inside the parenthesis denotes the strand. In this case, both sequences have the plus strand.
- Some quick statistics are available: the e-value and bitscore.
- There is information about the HSP fragments. Ignore this for now; it will be explained later on.
- And finally, we have the query and hit sequence alignment itself.

These details can be accessed on their own using the dot notation, just like in `QueryResult` and `Hit`:

    >>> blast_hsp.query_range
    (0, 61)

    >>> blast_hsp.evalue
    4.91307e-23

They’re not the only attributes available, though. `HSP` objects come with a default set of properties that makes it easy to probe their various details. Here are some examples:

    >>> blast_hsp.hit_start         # start coordinate of the hit sequence
    0
    >>> blast_hsp.query_span        # how many residues in the query sequence
    61
    >>> blast_hsp.aln_span          # how long the alignment is
    61

Check out the `HSP` documentation for a full list of these predefined properties.

Furthermore, each sequence search tool usually computes its own statistics / details for its `HSP` objects. For example, an XML BLAST search also outputs the number of gaps and identical residues. These attributes can be accessed like so:

    >>> blast_hsp.gap_num       # number of gaps
    0
    >>> blast_hsp.ident_num     # number of identical residues
    61

These details are format-specific; they may not be present in other formats. To see which details are available for a given sequence search tool, you should check the format’s documentation in `Bio.SearchIO`. Alternatively, you may also use `.__dict__.keys()` for a quick list of what’s available:

    >>> blast_hsp.__dict__.keys()
    ['bitscore', 'evalue', 'ident_num', 'gap_num', 'bitscore_raw', 'pos_num', '_items']

Finally, you may have noticed that the `query` and `hit` attributes of our HSP are not just regular strings:

    >>> blast_hsp.query
    SeqRecord(seq=Seq('CCCTCTACAGGGAAGCGCTTTCTGTTGTCTGAAAGAAAAGAAAGTGCTTCCTTT...GGG', DNAAlphabet()), id='42291', name='aligned query sequence', description='mystery_seq', dbxrefs=[])
    >>> blast_hsp.hit
    SeqRecord(seq=Seq('CCCTCTACAGGGAAGCGCTTTCTGTTGTCTGAAAGAAAAGAAAGTGCTTCCTTT...GGG', DNAAlphabet()), id='gi|262205317|ref|NR_030195.1|', name='aligned hit sequence', description='Homo sapiens microRNA 520b (MIR520B), microRNA', dbxrefs=[])

They are `SeqRecord` objects you saw earlier in Section 4! This means that you can do all sorts of interesting things you can do with `SeqRecord` objects on `HSP.query` and/or `HSP.hit`.

It should not surprise you now that the `HSP` object has an `alignment` property which is a `MultipleSeqAlignment` object:

    >>> print(blast_hsp.aln)
    DNAAlphabet() alignment with 2 rows and 61 columns
    CCCTCTACAGGGAAGCGCTTTCTGTTGTCTGAAAGAAAAGAAAG...GGG 42291
    CCCTCTACAGGGAAGCGCTTTCTGTTGTCTGAAAGAAAAGAAAG...GGG gi|262205317|ref|NR_030195.1|

Having probed the BLAST HSP, let’s now take a look at HSPs from our BLAT results for a different kind of HSP. As usual, we’ll begin by invoking `print` on it:

    >>> blat_qresult = SearchIO.read('my_blat.psl', 'blat-psl')
    >>> blat_hsp = blat_qresult[0][0]       # first hit, first hsp
    >>> print(blat_hsp)
          Query: mystery_seq <unknown description>
            Hit: chr19 <unknown description>
    Query range: [0:61] (1)
      Hit range: [54204480:54204541] (1)
    Quick stats: evalue ?; bitscore ?
      Fragments: 1 (? columns)

Some of the outputs you may have already guessed. We have the query and hit IDs and descriptions and the sequence coordinates. Values for evalue and bitscore is ‘?’ as BLAT HSPs do not have these attributes. But The biggest difference here is that you don’t see any sequence alignments displayed. If you look closer, PSL formats themselves do not have any hit or query sequences, so `Bio.SearchIO` won’t create any sequence or alignment objects. What happens if you try to access `HSP.query`, `HSP.hit`, or `HSP.aln`? You’ll get the default values for these attributes, which is `None`:

    >>> blat_hsp.hit is None
    True
    >>> blat_hsp.query is None
    True
    >>> blat_hsp.aln is None
    True

This does not affect other attributes, though. For example, you can still access the length of the query or hit alignment. Despite not displaying any attributes, the PSL format still have this information so `Bio.SearchIO` can extract them:

    >>> blat_hsp.query_span     # length of query match
    61
    >>> blat_hsp.hit_span       # length of hit match
    61

Other format-specific attributes are still present as well:

    >>> blat_hsp.score          # PSL score
    61
    >>> blat_hsp.mismatch_num   # the mismatch column
    0

So far so good? Things get more interesting when you look at another ‘variant’ of HSP present in our BLAT results. You might recall that in BLAT searches, sometimes we get our results separated into ‘blocks’. These blocks are essentially alignment fragments that may have some intervening sequence between them.

Let’s take a look at a BLAT HSP that contains multiple blocks to see how `Bio.SearchIO` deals with this:

    >>> blat_hsp2 = blat_qresult[0][1]      # first hit, second hsp
    >>> print(blat_hsp2)
          Query: mystery_seq <unknown description>
            Hit: chr19 <unknown description>
    Query range: [0:61] (1)
      Hit range: [54233104:54264463] (1)
    Quick stats: evalue ?; bitscore ?
      Fragments: ---  --------------  ----------------------  ----------------------
                   #            Span             Query range               Hit range
                 ---  --------------  ----------------------  ----------------------
                   0               ?                  [0:18]     [54233104:54233122]
                   1               ?                 [18:61]     [54264420:54264463]

What’s happening here? We still some essential details covered: the IDs and descriptions, the coordinates, and the quick statistics are similar to what you’ve seen before. But the fragments detail is all different. Instead of showing ‘Fragments: 1’, we now have a table with two data rows.

This is how `Bio.SearchIO` deals with HSPs having multiple fragments. As mentioned before, an HSP alignment may be separated by intervening sequences into fragments. The intervening sequences are not part of the query-hit match, so they should not be considered part of query nor hit sequence. However, they do affect how we deal with sequence coordinates, so we can’t ignore them.

Take a look at the hit coordinate of the HSP above. In the `Hit range:` field, we see that the coordinate is `[54233104:54264463]`. But looking at the table rows, we see that not the entire region spanned by this coordinate matches our query. Specifically, the intervening region spans from `54233122` to `54264420`.

Why then, is the query coordinates seem to be contiguous, you ask? This is perfectly fine. In this case it means that the query match is contiguous (no intervening regions), while the hit match is not.

All these attributes are accessible from the HSP directly, by the way:

    >>> blat_hsp2.hit_range         # hit start and end coordinates of the entire HSP
    (54233104, 54264463)
    >>> blat_hsp2.hit_range_all     # hit start and end coordinates of each fragment
    [(54233104, 54233122), (54264420, 54264463)]
    >>> blat_hsp2.hit_span          # hit span of the entire HSP
    31359
    >>> blat_hsp2.hit_span_all      # hit span of each fragment
    [18, 43]
    >>> blat_hsp2.hit_inter_ranges  # start and end coordinates of intervening regions in the hit sequence
    [(54233122, 54264420)]
    >>> blat_hsp2.hit_inter_spans   # span of intervening regions in the hit sequence
    [31298]

Most of these attributes are not readily available from the PSL file we have, but `Bio.SearchIO` calculates them for you on the fly when you parse the PSL file. All it needs are the start and end coordinates of each fragment.

What about the `query`, `hit`, and `aln` attributes? If the HSP has multiple fragments, you won’t be able to use these attributes as they only fetch single `SeqRecord` or `MultipleSeqAlignment` objects. However, you can use their `*_all` counterparts: `query_all`, `hit_all`, and `aln_all`. These properties will return a list containing `SeqRecord` or `MultipleSeqAlignment` objects from each of the HSP fragment. There are other attributes that behave similarly, i.e. they only work for HSPs with one fragment. Check out the `HSP` documentation for a full list.

Finally, to check whether you have multiple fragments or not, you can use the `is_fragmented` property like so:

    >>> blat_hsp2.is_fragmented     # BLAT HSP with 2 fragments
    True
    >>> blat_hsp.is_fragmented      # BLAT HSP from earlier, with one fragment
    False

Before we move on, you should also know that we can use the slice notation on `HSP` objects, just like `QueryResult` or `Hit` objects. When you use this notation, you’ll get an `HSPFragment` object in return, the last component of the object model.

### 8.1.4 HSPFragment

`HSPFragment` represents a single, contiguous match between the query and hit sequences. You could consider it the core of the object model and search result, since it is the presence of these fragments that determine whether your search have results or not.

In most cases, you don’t have to deal with `HSPFragment` objects directly since not that many sequence search tools fragment their HSPs. When you do have to deal with them, what you should remember is that `HSPFragment` objects were written with to be as compact as possible. In most cases, they only contain attributes directly related to sequences: strands, reading frames, alphabets, coordinates, the sequences themselves, and their IDs and descriptions.

These attributes are readily shown when you invoke `print` on an `HSPFragment`. Here’s an example, taken from our BLAST search:

    >>> from Bio import SearchIO
    >>> blast_qresult = SearchIO.read('my_blast.xml', 'blast-xml')
    >>> blast_frag = blast_qresult[0][0][0]    # first hit, first hsp, first fragment
    >>> print(blast_frag)
          Query: 42291 mystery_seq
            Hit: gi|262205317|ref|NR_030195.1| Homo sapiens microRNA 520b (MIR520...
    Query range: [0:61] (1)
      Hit range: [0:61] (1)
      Fragments: 1 (61 columns)
         Query - CCCTCTACAGGGAAGCGCTTTCTGTTGTCTGAAAGAAAAGAAAGTGCTTCCTTTTAGAGGG
                 |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
           Hit - CCCTCTACAGGGAAGCGCTTTCTGTTGTCTGAAAGAAAAGAAAGTGCTTCCTTTTAGAGGG

At this level, the BLAT fragment looks quite similar to the BLAST fragment, save for the query and hit sequences which are not present:

    >>> blat_qresult = SearchIO.read('my_blat.psl', 'blat-psl')
    >>> blat_frag = blat_qresult[0][0][0]    # first hit, first hsp, first fragment
    >>> print(blat_frag)
          Query: mystery_seq <unknown description>
            Hit: chr19 <unknown description>
    Query range: [0:61] (1)
      Hit range: [54204480:54204541] (1)
      Fragments: 1 (? columns)

In all cases, these attributes are accessible using our favorite dot notation. Some examples:

    >>> blast_frag.query_start      # query start coordinate
    0
    >>> blast_frag.hit_strand       # hit sequence strand
    1
    >>> blast_frag.hit              # hit sequence, as a SeqRecord object
    SeqRecord(seq=Seq('CCCTCTACAGGGAAGCGCTTTCTGTTGTCTGAAAGAAAAGAAAGTGCTTCCTTT...GGG', DNAAlphabet()), id='gi|262205317|ref|NR_030195.1|', name='aligned hit sequence', description='Homo sapiens microRNA 520b (MIR520B), microRNA', dbxrefs=[])

## 8.2 A note about standards and conventions

Before we move on to the main functions, there is something you ought to know about the standards `Bio.SearchIO` uses. If you’ve worked with multiple sequence search tools, you might have had to deal with the many different ways each program deals with things like sequence coordinates. It might not have been a pleasant experience as these search tools usually have their own standards. For example, one tools might use one-based coordinates, while the other uses zero-based coordinates. Or, one program might reverse the start and end coordinates if the strand is minus, while others don’t. In short, these often creates unnecessary mess must be dealt with.

We realize this problem ourselves and we intend to address it in `Bio.SearchIO`. After all, one of the goals of `Bio.SearchIO` is to create a common, easy to use interface to deal with various search output files. This means creating standards that extend beyond the object model you just saw.

Now, you might complain, "Not another standard!". Well, eventually we have to choose one convention or the other, so this is necessary. Plus, we’re not creating something entirely new here; just adopting a standard we think is best for a Python programmer (it is Biopython, after all).

There are three implicit standards that you can expect when working with `Bio.SearchIO`:

- The first one pertains to sequence coordinates. In `Bio.SearchIO`, all sequence coordinates follows Python’s coordinate style: zero-based and half open. For example, if in a BLAST XML output file the start and end coordinates of an HSP are 10 and 28, they would become 9 and 28 in `Bio.SearchIO`. The start coordinate becomes 9 because Python indices start from zero, while the end coordinate remains 28 as Python slices omit the last item in an interval.
- The second is on sequence coordinate orders. In `Bio.SearchIO`, start coordinates are always less than or equal to end coordinates. This isn’t always the case with all sequence search tools, as some of them have larger start coordinates when the sequence strand is minus.
- The last one is on strand and reading frame values. For strands, there are only four valid choices: `1` (plus strand), `-1` (minus strand), `0` (protein sequences), and `None` (no strand). For reading frames, the valid choices are integers from `-3` to `3` and `None`.

Note that these standards only exist in `Bio.SearchIO` objects. If you write `Bio.SearchIO` objects into an output format, `Bio.SearchIO` will use the format’s standard for the output. It does not force its standard over to your output file.

## 8.3 Reading search output files

There are two functions you can use for reading search output files into `Bio.SearchIO` objects: `read` and `parse`. They’re essentially similar to `read` and `parse` functions in other submodules like `Bio.SeqIO` or `Bio.AlignIO`. In both cases, you need to supply the search output file name and the file format name, both as Python strings. You can check the documentation for a list of format names `Bio.SearchIO` recognizes.

`Bio.SearchIO.read` is used for reading search output files with only one query and returns a `QueryResult` object. You’ve seen `read` used in our previous examples. What you haven’t seen is that `read` may also accept additional keyword arguments, depending on the file format.

Here are some examples. In the first one, we use `read` just like previously to read a BLAST tabular output file. In the second one, we use a keyword argument to modify so it parses the BLAST tabular variant with comments in it:

    >>> from Bio import SearchIO
    >>> qresult = SearchIO.read('tab_2226_tblastn_003.txt', 'blast-tab')
    >>> qresult
    QueryResult(id='gi|16080617|ref|NP_391444.1|', 3 hits)
    >>> qresult2 = SearchIO.read('tab_2226_tblastn_007.txt', 'blast-tab', comments=True)
    >>> qresult2
    QueryResult(id='gi|16080617|ref|NP_391444.1|', 3 hits)

These keyword arguments differs among file formats. Check the format documentation to see if it has keyword arguments that modifies its parser’s behavior.

As for the `Bio.SearchIO.parse`, it is used for reading search output files with any number of queries. The function returns a generator object that yields a `QueryResult` object in each iteration. Like `Bio.SearchIO.read`, it also accepts format-specific keyword arguments:

    >>> from Bio import SearchIO
    >>> qresults = SearchIO.parse('tab_2226_tblastn_001.txt', 'blast-tab')
    >>> for qresult in qresults:
    ...     print(qresult.id)
    gi|16080617|ref|NP_391444.1|
    gi|11464971:4-101
    >>> qresults2 = SearchIO.parse('tab_2226_tblastn_005.txt', 'blast-tab', comments=True)
    >>> for qresult in qresults2:
    ...     print(qresult.id)
    random_s00
    gi|16080617|ref|NP_391444.1|
    gi|11464971:4-101

## 8.4 Dealing with large search output files with indexing

Sometimes, you’re handed a search output file containing hundreds or thousands of queries that you need to parse. You can of course use `Bio.SearchIO.parse` for this file, but that would be grossly inefficient if you need to access only a few of the queries. This is because `parse` will parse all queries it sees before it fetches your query of interest.

In this case, the ideal choice would be to index the file using `Bio.SearchIO.index` or `Bio.SearchIO.index_db`. If the names sound familiar, it’s because you’ve seen them before in Section 5.4.2. These functions also behave similarly to their `Bio.SeqIO` counterparts, with the addition of format-specific keyword arguments.

Here are some examples. You can use `index` with just the filename and format name:

    >>> from Bio import SearchIO
    >>> idx = SearchIO.index('tab_2226_tblastn_001.txt', 'blast-tab')
    >>> sorted(idx.keys())
    ['gi|11464971:4-101', 'gi|16080617|ref|NP_391444.1|']
    >>> idx['gi|16080617|ref|NP_391444.1|']
    QueryResult(id='gi|16080617|ref|NP_391444.1|', 3 hits)
    >>> idx.close()

Or also with the format-specific keyword argument:

    >>> idx = SearchIO.index('tab_2226_tblastn_005.txt', 'blast-tab', comments=True)
    >>> sorted(idx.keys())
    ['gi|11464971:4-101', 'gi|16080617|ref|NP_391444.1|', 'random_s00']
    >>> idx['gi|16080617|ref|NP_391444.1|']
    QueryResult(id='gi|16080617|ref|NP_391444.1|', 3 hits)
    >>> idx.close()

Or with the `key_function` argument, as in `Bio.SeqIO`:

    >>> key_function = lambda id: id.upper()    # capitalizes the keys
    >>> idx = SearchIO.index('tab_2226_tblastn_001.txt', 'blast-tab', key_function=key_function)
    >>> sorted(idx.keys())
    ['GI|11464971:4-101', 'GI|16080617|REF|NP_391444.1|']
    >>> idx['GI|16080617|REF|NP_391444.1|']
    QueryResult(id='gi|16080617|ref|NP_391444.1|', 3 hits)
    >>> idx.close()

`Bio.SearchIO.index_db` works like as `index`, only it writes the query offsets into an SQLite database file.

## 8.5 Writing and converting search output files

It is occasionally useful to be able to manipulate search results from an output file and write it again to a new file. `Bio.SearchIO` provides a `write` function that lets you do exactly this. It takes as its arguments an iterable returning `QueryResult` objects, the output filename to write to, the format name to write to, and optionally some format-specific keyword arguments. It returns a four-item tuple, which denotes the number or `QueryResult`, `Hit`, `HSP`, and `HSPFragment` objects that were written.

    >>> from Bio import SearchIO
    >>> qresults = SearchIO.parse('mirna.xml', 'blast-xml')     # read XML file
    >>> SearchIO.write(qresults, 'results.tab', 'blast-tab')    # write to tabular file
    (3, 239, 277, 277)

You should note different file formats require different attributes of the `QueryResult`, `Hit`, `HSP` and `HSPFragment` objects. If these attributes are not present, writing won’t work. In other words, you can’t always write to the output format that you want. For example, if you read a BLAST XML file, you wouldn’t be able to write the results to a PSL file as PSL files require attributes not calculated by BLAST (e.g. the number of repeat matches). You can always set these attributes manually, if you really want to write to PSL, though.

Like `read`, `parse`, `index`, and `index_db`, `write` also accepts format-specific keyword arguments. Check out the documentation for a complete list of formats `Bio.SearchIO` can write to and their arguments.

Finally, `Bio.SearchIO` also provides a `convert` function, which is simply a shortcut for `Bio.SearchIO.parse` and `Bio.SearchIO.write`. Using the convert function, our example above would be:

    >>> from Bio import SearchIO
    >>> SearchIO.convert('mirna.xml', 'blast-xml', 'results.tab', 'blast-tab')
    (3, 239, 277, 277)

As `convert` uses `write`, it is only limited to format conversions that have all the required attributes. Here, the BLAST XML file provides all the default values a BLAST tabular file requires, so it works just fine. However, other format conversions are less likely to work since you need to manually assign the required attributes first.

# Chapter 9 Accessing NCBI’s Entrez databases

Entrez (`http://www.ncbi.nlm.nih.gov/Entrez`) is a data retrieval system that provides users access to NCBI’s databases such as PubMed, GenBank, GEO, and many others. You can access Entrez from a web browser to manually enter queries, or you can use Biopython’s `Bio.Entrez` module for programmatic access to Entrez. The latter allows you for example to search PubMed or download GenBank records from within a Python script.

The `Bio.Entrez` module makes use of the Entrez Programming Utilities (also known as EUtils), consisting of eight tools that are described in detail on NCBI’s page at `http://www.ncbi.nlm.nih.gov/entrez/utils/`. Each of these tools corresponds to one Python function in the `Bio.Entrez` module, as described in the sections below. This module makes sure that the correct URL is used for the queries, and that not more than one request is made every three seconds, as required by NCBI.

The output returned by the Entrez Programming Utilities is typically in XML format. To parse such output, you have several options:

1. Use `Bio.Entrez`’s parser to parse the XML output into a Python object;
2. Use the DOM (Document Object Model) parser in Python’s standard library;
3. Use the SAX (Simple API for XML) parser in Python’s standard library;
4. Read the XML output as raw text, and parse it by string searching and manipulation.

For the DOM and SAX parsers, see the Python documentation. The parser in `Bio.Entrez` is discussed below.

NCBI uses DTD (Document Type Definition) files to describe the structure of the information contained in XML files. Most of the DTD files used by NCBI are included in the Biopython distribution. The `Bio.Entrez` parser makes use of the DTD files when parsing an XML file returned by NCBI Entrez.

Occasionally, you may find that the DTD file associated with a specific XML file is missing in the Biopython distribution. In particular, this may happen when NCBI updates its DTD files. If this happens, `Entrez.read` will show a warning message with the name and URL of the missing DTD file. The parser will proceed to access the missing DTD file through the internet, allowing the parsing of the XML file to continue. However, the parser is much faster if the DTD file is available locally. For this purpose, please download the DTD file from the URL in the warning message and place it in the directory `...site-packages/Bio/Entrez/DTDs`, containing the other DTD files. If you don’t have write access to this directory, you can also place the DTD file in `~/.biopython/Bio/Entrez/DTDs`, where `~` represents your home directory. Since this directory is read before the directory `...site-packages/Bio/Entrez/DTDs`, you can also put newer versions of DTD files there if the ones in `...site-packages/Bio/Entrez/DTDs` become outdated. Alternatively, if you installed Biopython from source, you can add the DTD file to the source code’s `Bio/Entrez/DTDs` directory, and reinstall Biopython. This will install the new DTD file in the correct location together with the other DTD files.

The Entrez Programming Utilities can also generate output in other formats, such as the Fasta or GenBank file formats for sequence databases, or the MedLine format for the literature database, discussed in Section 9.12.

## 9.1 Entrez Guidelines

Before using Biopython to access the NCBI’s online resources (via `Bio.Entrez` or some of the other modules), please read the NCBI’s Entrez User Requirements. If the NCBI finds you are abusing their systems, they can and will ban your access!

To paraphrase:

- For any series of more than 100 requests, do this at weekends or outside USA peak times. This is up to you to obey.
- Use the `http://eutils.ncbi.nlm.nih.gov` address, not the standard NCBI Web address. Biopython uses this web address.
- Make no more than three requests every seconds (relaxed from at most one request every three seconds in early 2009). This is automatically enforced by Biopython.
- Use the optional email parameter so the NCBI can contact you if there is a problem. You can either explicitly set this as a parameter with each call to Entrez (e.g. include `email="A.N.Other@example.com"` in the argument list), or you can set a global email address:

      >>> from Bio import Entrez
      >>> Entrez.email = "A.N.Other@example.com"

  `Bio.Entrez` will then use this email address with each call to Entrez. The `example.com` address is a reserved domain name specifically for documentation (RFC 2606). Please DO NOT use a random email – it’s better not to give an email at all. The email parameter will be mandatory from June 1, 2010. In case of excessive usage, NCBI will attempt to contact a user at the e-mail address provided prior to blocking access to the E-utilities.
- If you are using Biopython within some larger software suite, use the tool parameter to specify this. You can either explicitly set the tool name as a parameter with each call to Entrez (e.g. include `tool="MyLocalScript"` in the argument list), or you can set a global tool name:

      >>> from Bio import Entrez
      >>> Entrez.tool = "MyLocalScript"

  The tool parameter will default to Biopython.
- For large queries, the NCBI also recommend using their session history feature (the WebEnv session cookie string, see Section 9.15). This is only slightly more complicated.

In conclusion, be sensible with your usage levels. If you plan to download lots of data, consider other options. For example, if you want easy access to all the human genes, consider fetching each chromosome by FTP as a GenBank file, and importing these into your own BioSQL database (see Section 18.5).

## 9.2 EInfo: Obtaining information about the Entrez databases

EInfo provides field index term counts, last update, and available links for each of NCBI’s databases. In addition, you can use EInfo to obtain a list of all database names accessible through the Entrez utilities:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> handle = Entrez.einfo()
    >>> result = handle.read()

The variable `result` now contains a list of databases in XML format:

    >>> print(result)
    <?xml version="1.0"?>
    <!DOCTYPE eInfoResult PUBLIC "-//NLM//DTD eInfoResult, 11 May 2002//EN"
     "http://www.ncbi.nlm.nih.gov/entrez/query/DTD/eInfo_020511.dtd">
    <eInfoResult>
    <DbList>
            <DbName>pubmed</DbName>
            <DbName>protein</DbName>
            <DbName>nucleotide</DbName>
            <DbName>nuccore</DbName>
            <DbName>nucgss</DbName>
            <DbName>nucest</DbName>
            <DbName>structure</DbName>
            <DbName>genome</DbName>
            <DbName>books</DbName>
            <DbName>cancerchromosomes</DbName>
            <DbName>cdd</DbName>
            <DbName>gap</DbName>
            <DbName>domains</DbName>
            <DbName>gene</DbName>
            <DbName>genomeprj</DbName>
            <DbName>gensat</DbName>
            <DbName>geo</DbName>
            <DbName>gds</DbName>
            <DbName>homologene</DbName>
            <DbName>journals</DbName>
            <DbName>mesh</DbName>
            <DbName>ncbisearch</DbName>
            <DbName>nlmcatalog</DbName>
            <DbName>omia</DbName>
            <DbName>omim</DbName>
            <DbName>pmc</DbName>
            <DbName>popset</DbName>
            <DbName>probe</DbName>
            <DbName>proteinclusters</DbName>
            <DbName>pcassay</DbName>
            <DbName>pccompound</DbName>
            <DbName>pcsubstance</DbName>
            <DbName>snp</DbName>
            <DbName>taxonomy</DbName>
            <DbName>toolkit</DbName>
            <DbName>unigene</DbName>
            <DbName>unists</DbName>
    </DbList>
    </eInfoResult>

Since this is a fairly simple XML file, we could extract the information it contains simply by string searching. Using `Bio.Entrez`’s parser instead, we can directly parse this XML file into a Python object:

    >>> from Bio import Entrez
    >>> handle = Entrez.einfo()
    >>> record = Entrez.read(handle)

Now `record` is a dictionary with exactly one key:

    >>> record.keys()
    [u'DbList']

The values stored in this key is the list of database names shown in the XML above:

    >>> record["DbList"]
    ['pubmed', 'protein', 'nucleotide', 'nuccore', 'nucgss', 'nucest',
     'structure', 'genome', 'books', 'cancerchromosomes', 'cdd', 'gap',
     'domains', 'gene', 'genomeprj', 'gensat', 'geo', 'gds', 'homologene',
     'journals', 'mesh', 'ncbisearch', 'nlmcatalog', 'omia', 'omim', 'pmc',
     'popset', 'probe', 'proteinclusters', 'pcassay', 'pccompound',
     'pcsubstance', 'snp', 'taxonomy', 'toolkit', 'unigene', 'unists']

For each of these databases, we can use EInfo again to obtain more information:

    >>> handle = Entrez.einfo(db="pubmed")
    >>> record = Entrez.read(handle)
    >>> record["DbInfo"]["Description"]
    'PubMed bibliographic record'
    >>> record["DbInfo"]["Count"]
    '17989604'
    >>> record["DbInfo"]["LastUpdate"]
    '2008/05/24 06:45'

Try `record["DbInfo"].keys()` for other information stored in this record. One of the most useful is a list of possible search fields for use with ESearch:

    >>> for field in record["DbInfo"]["FieldList"]:
    ...     print("%(Name)s, %(FullName)s, %(Description)s" % field)
    ALL, All Fields, All terms from all searchable fields
    UID, UID, Unique number assigned to publication
    FILT, Filter, Limits the records
    TITL, Title, Words in title of publication
    WORD, Text Word, Free text associated with publication
    MESH, MeSH Terms, Medical Subject Headings assigned to publication
    MAJR, MeSH Major Topic, MeSH terms of major importance to publication
    AUTH, Author, Author(s) of publication
    JOUR, Journal, Journal abbreviation of publication
    AFFL, Affiliation, Author's institutional affiliation and address
    ...

That’s a long list, but indirectly this tells you that for the PubMed database, you can do things like `Jones[AUTH]` to search the author field, or `Sanger[AFFL]` to restrict to authors at the Sanger Centre. This can be very handy - especially if you are not so familiar with a particular database.

## 9.3 ESearch: Searching the Entrez databases

To search any of these databases, we use `Bio.Entrez.esearch()`. For example, let’s search in PubMed for publications related to Biopython:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> handle = Entrez.esearch(db="pubmed", term="biopython")
    >>> record = Entrez.read(handle)
    >>> record["IdList"]
    ['19304878', '18606172', '16403221', '16377612', '14871861', '14630660', '12230038']

In this output, you see seven PubMed IDs (including 19304878 which is the PMID for the Biopython application note), which can be retrieved by EFetch (see section 9.6).

You can also use ESearch to search GenBank. Here we’ll do a quick search for the matK gene in Cypripedioideae orchids (see Section 9.2 about EInfo for one way to find out which fields you can search in each Entrez database):

    >>> handle = Entrez.esearch(db="nucleotide", term="Cypripedioideae[Orgn] AND matK[Gene]")
    >>> record = Entrez.read(handle)
    >>> record["Count"]
    '25'
    >>> record["IdList"]
    ['126789333', '37222967', '37222966', '37222965', ..., '61585492']

Each of the IDs (126789333, 37222967, 37222966, …) is a GenBank identifier. See section 9.6 for information on how to actually download these GenBank records.

Note that instead of a species name like `Cypripedioideae[Orgn]`, you can restrict the search using an NCBI taxon identifier, here this would be `txid158330[Orgn]`. This isn’t currently documented on the ESearch help page - the NCBI explained this in reply to an email query. You can often deduce the search term formatting by playing with the Entrez web interface. For example, including `complete[prop]` in a genome search restricts to just completed genomes.

As a final example, let’s get a list of computational journal titles:

    >>> handle = Entrez.esearch(db="journals", term="computational")
    >>> record = Entrez.read(handle)
    >>> record["Count"]
    '16'
    >>> record["IdList"]
    ['30367', '33843', '33823', '32989', '33190', '33009', '31986',
     '34502', '8799', '22857', '32675', '20258', '33859', '32534',
     '32357', '32249']

Again, we could use EFetch to obtain more information for each of these journal IDs.

ESearch has many useful options — see the ESearch help page for more information.

## 9.4 EPost: Uploading a list of identifiers

EPost uploads a list of UIs for use in subsequent search strategies; see the EPost help page for more information. It is available from Biopython through the `Bio.Entrez.epost()` function.

To give an example of when this is useful, suppose you have a long list of IDs you want to download using EFetch (maybe sequences, maybe citations – anything). When you make a request with EFetch your list of IDs, the database etc, are all turned into a long URL sent to the server. If your list of IDs is long, this URL gets long, and long URLs can break (e.g. some proxies don’t cope well).

Instead, you can break this up into two steps, first uploading the list of IDs using EPost (this uses an “HTML post” internally, rather than an “HTML get”, getting round the long URL problem). With the history support, you can then refer to this long list of IDs, and download the associated data with EFetch.

Let’s look at a simple example to see how EPost works – uploading some PubMed identifiers:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> id_list = ["19304878", "18606172", "16403221", "16377612", "14871861", "14630660"]
    >>> print(Entrez.epost("pubmed", id=",".join(id_list)).read())
    <?xml version="1.0"?>
    <!DOCTYPE ePostResult PUBLIC "-//NLM//DTD ePostResult, 11 May 2002//EN"
     "http://www.ncbi.nlm.nih.gov/entrez/query/DTD/ePost_020511.dtd">
    <ePostResult>
     <QueryKey>1</QueryKey>
     <WebEnv>NCID_01_206841095_130.14.22.101_9001_1242061629</WebEnv>
    </ePostResult>

The returned XML includes two important strings, `QueryKey` and `WebEnv` which together define your history session. You would extract these values for use with another Entrez call such as EFetch:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> id_list = ["19304878", "18606172", "16403221", "16377612", "14871861", "14630660"]
    >>> search_results = Entrez.read(Entrez.epost("pubmed", id=",".join(id_list)))
    >>> webenv = search_results["WebEnv"]
    >>> query_key = search_results["QueryKey"]

Section 9.15 shows how to use the history feature.

## 9.5 ESummary: Retrieving summaries from primary IDs

ESummary retrieves document summaries from a list of primary IDs (see the ESummary help page for more information). In Biopython, ESummary is available as `Bio.Entrez.esummary()`. Using the search result above, we can for example find out more about the journal with ID 30367:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> handle = Entrez.esummary(db="journals", id="30367")
    >>> record = Entrez.read(handle)
    >>> record[0]["Id"]
    '30367'
    >>> record[0]["Title"]
    'Computational biology and chemistry'
    >>> record[0]["Publisher"]
    'Pergamon,'

## 9.6 EFetch: Downloading full records from Entrez

EFetch is what you use when you want to retrieve a full record from Entrez. This covers several possible databases, as described on the main EFetch Help page.

For most of their databases, the NCBI support several different file formats. Requesting a specific file format from Entrez using `Bio.Entrez.efetch()` requires specifying the `rettype` and/or `retmode` optional arguments. The different combinations are described for each database type on the pages linked to on NCBI efetch webpage (e.g. literature, sequences and taxonomy).

One common usage is downloading sequences in the FASTA or GenBank/GenPept plain text formats (which can then be parsed with `Bio.SeqIO`, see Sections 5.3.1 and 9.6). From the Cypripedioideae example above, we can download GenBank record 186972394 using `Bio.Entrez.efetch`:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> handle = Entrez.efetch(db="nucleotide", id="186972394", rettype="gb", retmode="text")
    >>> print(handle.read())
    LOCUS       EU490707                1302 bp    DNA     linear   PLN 05-MAY-2008
    DEFINITION  Selenipedium aequinoctiale maturase K (matK) gene, partial cds;
                chloroplast.
    ACCESSION   EU490707
    VERSION     EU490707.1  GI:186972394
    KEYWORDS    .
    SOURCE      chloroplast Selenipedium aequinoctiale
      ORGANISM  Selenipedium aequinoctiale
                Eukaryota; Viridiplantae; Streptophyta; Embryophyta; Tracheophyta;
                Spermatophyta; Magnoliophyta; Liliopsida; Asparagales; Orchidaceae;
                Cypripedioideae; Selenipedium.
    REFERENCE   1  (bases 1 to 1302)
      AUTHORS   Neubig,K.M., Whitten,W.M., Carlsward,B.S., Blanco,M.A.,
                Endara,C.L., Williams,N.H. and Moore,M.J.
      TITLE     Phylogenetic utility of ycf1 in orchids
      JOURNAL   Unpublished
    REFERENCE   2  (bases 1 to 1302)
      AUTHORS   Neubig,K.M., Whitten,W.M., Carlsward,B.S., Blanco,M.A.,
                Endara,C.L., Williams,N.H. and Moore,M.J.
      TITLE     Direct Submission
      JOURNAL   Submitted (14-FEB-2008) Department of Botany, University of
                Florida, 220 Bartram Hall, Gainesville, FL 32611-8526, USA
    FEATURES             Location/Qualifiers
         source          1..1302
                         /organism="Selenipedium aequinoctiale"
                         /organelle="plastid:chloroplast"
                         /mol_type="genomic DNA"
                         /specimen_voucher="FLAS:Blanco 2475"
                         /db_xref="taxon:256374"
         gene            <1..>1302
                         /gene="matK"
         CDS             <1..>1302
                         /gene="matK"
                         /codon_start=1
                         /transl_table=11
                         /product="maturase K"
                         /protein_id="ACC99456.1"
                         /db_xref="GI:186972395"
                         /translation="IFYEPVEIFGYDNKSSLVLVKRLITRMYQQNFLISSVNDSNQKG
                         FWGHKHFFSSHFSSQMVSEGFGVILEIPFSSQLVSSLEEKKIPKYQNLRSIHSIFPFL
                         EDKFLHLNYVSDLLIPHPIHLEILVQILQCRIKDVPSLHLLRLLFHEYHNLNSLITSK
                         KFIYAFSKRKKRFLWLLYNSYVYECEYLFQFLRKQSSYLRSTSSGVFLERTHLYVKIE
                         HLLVVCCNSFQRILCFLKDPFMHYVRYQGKAILASKGTLILMKKWKFHLVNFWQSYFH
                         FWSQPYRIHIKQLSNYSFSFLGYFSSVLENHLVVRNQMLENSFIINLLTKKFDTIAPV
                         ISLIGSLSKAQFCTVLGHPISKPIWTDFSDSDILDRFCRICRNLCRYHSGSSKKQVLY
                         RIKYILRLSCARTLARKHKSTVRTFMRRLGSGLLEEFFMEEE"
    ORIGIN
            1 attttttacg aacctgtgga aatttttggt tatgacaata aatctagttt agtacttgtg
           61 aaacgtttaa ttactcgaat gtatcaacag aattttttga tttcttcggt taatgattct
          121 aaccaaaaag gattttgggg gcacaagcat tttttttctt ctcatttttc ttctcaaatg
          181 gtatcagaag gttttggagt cattctggaa attccattct cgtcgcaatt agtatcttct
          241 cttgaagaaa aaaaaatacc aaaatatcag aatttacgat ctattcattc aatatttccc
          301 tttttagaag acaaattttt acatttgaat tatgtgtcag atctactaat accccatccc
          361 atccatctgg aaatcttggt tcaaatcctt caatgccgga tcaaggatgt tccttctttg
          421 catttattgc gattgctttt ccacgaatat cataatttga atagtctcat tacttcaaag
          481 aaattcattt acgccttttc aaaaagaaag aaaagattcc tttggttact atataattct
          541 tatgtatatg aatgcgaata tctattccag tttcttcgta aacagtcttc ttatttacga
          601 tcaacatctt ctggagtctt tcttgagcga acacatttat atgtaaaaat agaacatctt
          661 ctagtagtgt gttgtaattc ttttcagagg atcctatgct ttctcaagga tcctttcatg
          721 cattatgttc gatatcaagg aaaagcaatt ctggcttcaa agggaactct tattctgatg
          781 aagaaatgga aatttcatct tgtgaatttt tggcaatctt attttcactt ttggtctcaa
          841 ccgtatagga ttcatataaa gcaattatcc aactattcct tctcttttct ggggtatttt
          901 tcaagtgtac tagaaaatca tttggtagta agaaatcaaa tgctagagaa ttcatttata
          961 ataaatcttc tgactaagaa attcgatacc atagccccag ttatttctct tattggatca
         1021 ttgtcgaaag ctcaattttg tactgtattg ggtcatccta ttagtaaacc gatctggacc
         1081 gatttctcgg attctgatat tcttgatcga ttttgccgga tatgtagaaa tctttgtcgt
         1141 tatcacagcg gatcctcaaa aaaacaggtt ttgtatcgta taaaatatat acttcgactt
         1201 tcgtgtgcta gaactttggc acggaaacat aaaagtacag tacgcacttt tatgcgaaga
         1261 ttaggttcgg gattattaga agaattcttt atggaagaag aa
    //

The arguments `rettype="gb"` and `retmode="text"` let us download this record in the GenBank format.

Note that until Easter 2009, the Entrez EFetch API let you use “genbank” as the return type, however the NCBI now insist on using the official return types of “gb” or “gbwithparts” (or “gp” for proteins) as described on online. Also not that until Feb 2012, the Entrez EFetch API would default to returning plain text files, but now defaults to XML.

Alternatively, you could for example use `rettype="fasta"` to get the Fasta-format; see the EFetch Sequences Help page for other options. Remember – the available formats depend on which database you are downloading from - see the main EFetch Help page.

If you fetch the record in one of the formats accepted by `Bio.SeqIO` (see Chapter 5), you could directly parse it into a `SeqRecord`:

    >>> from Bio import Entrez, SeqIO
    >>> handle = Entrez.efetch(db="nucleotide", id="186972394", rettype="gb", retmode="text")
    >>> record = SeqIO.read(handle, "genbank")
    >>> handle.close()
    >>> print(record)
    ID: EU490707.1
    Name: EU490707
    Description: Selenipedium aequinoctiale maturase K (matK) gene, partial cds; chloroplast.
    Number of features: 3
    ...
    Seq('ATTTTTTACGAACCTGTGGAAATTTTTGGTTATGACAATAAATCTAGTTTAGTA...GAA', IUPACAmbiguousDNA())

Note that a more typical use would be to save the sequence data to a local file, and then parse it with `Bio.SeqIO`. This can save you having to re-download the same file repeatedly while working on your script, and places less load on the NCBI’s servers. For example:

    import os
    from Bio import SeqIO
    from Bio import Entrez
    Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    filename = "gi_186972394.gbk"
    if not os.path.isfile(filename):
        # Downloading...
        net_handle = Entrez.efetch(db="nucleotide",id="186972394",rettype="gb", retmode="text")
        out_handle = open(filename, "w")
        out_handle.write(net_handle.read())
        out_handle.close()
        net_handle.close()
        print("Saved")

    print("Parsing...")
    record = SeqIO.read(filename, "genbank")
    print(record)

To get the output in XML format, which you can parse using the `Bio.Entrez.read()` function, use `retmode="xml"`:

    >>> from Bio import Entrez
    >>> handle = Entrez.efetch(db="nucleotide", id="186972394", retmode="xml")
    >>> record = Entrez.read(handle)
    >>> handle.close()
    >>> record[0]["GBSeq_definition"]
    'Selenipedium aequinoctiale maturase K (matK) gene, partial cds; chloroplast'
    >>> record[0]["GBSeq_source"]
    'chloroplast Selenipedium aequinoctiale'

So, that dealt with sequences. For examples of parsing file formats specific to the other databases (e.g. the `MEDLINE` format used in PubMed), see Section 9.12.

If you want to perform a search with `Bio.Entrez.esearch()`, and then download the records with `Bio.Entrez.efetch()`, you should use the WebEnv history feature – see Section 9.15.

## 9.7 ELink: Searching for related items in NCBI Entrez

ELink, available from Biopython as `Bio.Entrez.elink()`, can be used to find related items in the NCBI Entrez databases. For example, you can us this to find nucleotide entries for an entry in the gene database, and other cool stuff.

Let’s use ELink to find articles related to the Biopython application note published in Bioinformatics in 2009. The PubMed ID of this article is 19304878:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"
    >>> pmid = "19304878"
    >>> record = Entrez.read(Entrez.elink(dbfrom="pubmed", id=pmid))

The `record` variable consists of a Python list, one for each database in which we searched. Since we specified only one PubMed ID to search for, `record` contains only one item. This item is a dictionary containing information about our search term, as well as all the related items that were found:

    >>> record[0]["DbFrom"]
    'pubmed'
    >>> record[0]["IdList"]
    ['19304878']

The `"LinkSetDb"` key contains the search results, stored as a list consisting of one item for each target database. In our search results, we only find hits in the PubMed database (although sub-divided into categories):

    >>> len(record[0]["LinkSetDb"])
    5
    >>> for linksetdb in record[0]["LinkSetDb"]:
    ...     print(linksetdb["DbTo"], linksetdb["LinkName"], len(linksetdb["Link"]))
    ...
    pubmed pubmed_pubmed 110
    pubmed pubmed_pubmed_combined 6
    pubmed pubmed_pubmed_five 6
    pubmed pubmed_pubmed_reviews 5
    pubmed pubmed_pubmed_reviews_five 5

The actual search results are stored as under the `"Link"` key. In total, 110 items were found under standard search. Let’s now at the first search result:

    >>> record[0]["LinkSetDb"][0]["Link"][0]
    {u'Id': '19304878'}

This is the article we searched for, which doesn’t help us much, so let’s look at the second search result:

    >>> record[0]["LinkSetDb"][0]["Link"][1]
    {u'Id': '14630660'}

This paper, with PubMed ID 14630660, is about the Biopython PDB parser.

We can use a loop to print out all PubMed IDs:

    >>> for link in record[0]["LinkSetDb"][0]["Link"]:
    ...     print(link["Id"])
    19304878
    14630660
    18689808
    17121776
    16377612
    12368254
    ......

Now that was nice, but personally I am often more interested to find out if a paper has been cited. Well, ELink can do that too – at least for journals in Pubmed Central (see Section 9.15.3).

For help on ELink, see the ELink help page. There is an entire sub-page just for the link names, describing how different databases can be cross referenced.

## 9.8 EGQuery: Global Query - counts for search terms

EGQuery provides counts for a search term in each of the Entrez databases (i.e. a global query). This is particularly useful to find out how many items your search terms would find in each database without actually performing lots of separate searches with ESearch (see the example in 9.14.2 below).

In this example, we use `Bio.Entrez.egquery()` to obtain the counts for “Biopython”:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> handle = Entrez.egquery(term="biopython")
    >>> record = Entrez.read(handle)
    >>> for row in record["eGQueryResult"]:
    ...     print(row["DbName"], row["Count"])
    ...
    pubmed 6
    pmc 62
    journals 0
    ...

See the EGQuery help page for more information.

## 9.9 ESpell: Obtaining spelling suggestions

ESpell retrieves spelling suggestions. In this example, we use `Bio.Entrez.espell()` to obtain the correct spelling of Biopython:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> handle = Entrez.espell(term="biopythooon")
    >>> record = Entrez.read(handle)
    >>> record["Query"]
    'biopythooon'
    >>> record["CorrectedQuery"]
    'biopython'

See the ESpell help page for more information. The main use of this is for GUI tools to provide automatic suggestions for search terms.

## 9.10 Parsing huge Entrez XML files

The `Entrez.read` function reads the entire XML file returned by Entrez into a single Python object, which is kept in memory. To parse Entrez XML files too large to fit in memory, you can use the function `Entrez.parse`. This is a generator function that reads records in the XML file one by one. This function is only useful if the XML file reflects a Python list object (in other words, if `Entrez.read` on a computer with infinite memory resources would return a Python list).

For example, you can download the entire Entrez Gene database for a given organism as a file from NCBI’s ftp site. These files can be very large. As an example, on September 4, 2009, the file `Homo_sapiens.ags.gz`, containing the Entrez Gene database for human, had a size of 116576 kB. This file, which is in the `ASN` format, can be converted into an XML file using NCBI’s `gene2xml` program (see NCBI’s ftp site for more information):

    gene2xml -b T -i Homo_sapiens.ags -o Homo_sapiens.xml

The resulting XML file has a size of 6.1 GB. Attempting `Entrez.read` on this file will result in a `MemoryError` on many computers.

The XML file `Homo_sapiens.xml` consists of a list of Entrez gene records, each corresponding to one Entrez gene in human. `Entrez.parse` retrieves these gene records one by one. You can then print out or store the relevant information in each record by iterating over the records. For example, this script iterates over the Entrez gene records and prints out the gene numbers and names for all current genes:

    >>> from Bio import Entrez
    >>> handle = open("Homo_sapiens.xml")
    >>> records = Entrez.parse(handle)

    >>> for record in records:
    ...     status = record['Entrezgene_track-info']['Gene-track']['Gene-track_status']
    ...     if status.attributes['value']=='discontinued':
    ...         continue
    ...     geneid = record['Entrezgene_track-info']['Gene-track']['Gene-track_geneid']
    ...     genename = record['Entrezgene_gene']['Gene-ref']['Gene-ref_locus']
    ...     print(geneid, genename)

This will print:

    1 A1BG
    2 A2M
    3 A2MP
    8 AA
    9 NAT1
    10 NAT2
    11 AACP
    12 SERPINA3
    13 AADAC
    14 AAMP
    15 AANAT
    16 AARS
    17 AAVS1
    ...

## 9.11 Handling errors

Three things can go wrong when parsing an XML file:

- The file may not be an XML file to begin with;
- The file may end prematurely or otherwise be corrupted;
- The file may be correct XML, but contain items that are not represented in the associated DTD.

The first case occurs if, for example, you try to parse a Fasta file as if it were an XML file:

    >>> from Bio import Entrez
    >>> handle = open("NC_005816.fna") # a Fasta file
    >>> record = Entrez.read(handle)
    Traceback (most recent call last):
      File "<stdin>", line 1, in <module>
      File "/usr/local/lib/python2.7/site-packages/Bio/Entrez/__init__.py", line 257, in read
        record = handler.read(handle)
      File "/usr/local/lib/python2.7/site-packages/Bio/Entrez/Parser.py", line 164, in read
        raise NotXMLError(e)
    Bio.Entrez.Parser.NotXMLError: Failed to parse the XML data (syntax error: line 1, column 0). Please make sure that the input data are in XML format.

Here, the parser didn’t find the `<?xml ...` tag with which an XML file is supposed to start, and therefore decides (correctly) that the file is not an XML file.

When your file is in the XML format but is corrupted (for example, by ending prematurely), the parser will raise a CorruptedXMLError. Here is an example of an XML file that ends prematurely:

    <?xml version="1.0"?>
    <!DOCTYPE eInfoResult PUBLIC "-//NLM//DTD eInfoResult, 11 May 2002//EN" "http://www.ncbi.nlm.nih.gov/entrez/query/DTD/eInfo_020511.dtd">
    <eInfoResult>
    <DbList>
            <DbName>pubmed</DbName>
            <DbName>protein</DbName>
            <DbName>nucleotide</DbName>
            <DbName>nuccore</DbName>
            <DbName>nucgss</DbName>
            <DbName>nucest</DbName>
            <DbName>structure</DbName>
            <DbName>genome</DbName>
            <DbName>books</DbName>
            <DbName>cancerchromosomes</DbName>
            <DbName>cdd</DbName>

which will generate the following traceback:

    >>> Entrez.read(handle)
    Traceback (most recent call last):
      File "<stdin>", line 1, in <module>
      File "/usr/local/lib/python2.7/site-packages/Bio/Entrez/__init__.py", line 257, in read
        record = handler.read(handle)
      File "/usr/local/lib/python2.7/site-packages/Bio/Entrez/Parser.py", line 160, in read
        raise CorruptedXMLError(e)
    Bio.Entrez.Parser.CorruptedXMLError: Failed to parse the XML data (no element found: line 16, column 0). Please make sure that the input data are not corrupted.

    >>>

Note that the error message tells you at what point in the XML file the error was detected.

The third type of error occurs if the XML file contains tags that do not have a description in the corresponding DTD file. This is an example of such an XML file:

    <?xml version="1.0"?>
    <!DOCTYPE eInfoResult PUBLIC "-//NLM//DTD eInfoResult, 11 May 2002//EN" "http://www.ncbi.nlm.nih.gov/entrez/query/DTD/eInfo_020511.dtd">
    <eInfoResult>
            <DbInfo>
            <DbName>pubmed</DbName>
            <MenuName>PubMed</MenuName>
            <Description>PubMed bibliographic record</Description>
            <Count>20161961</Count>
            <LastUpdate>2010/09/10 04:52</LastUpdate>
            <FieldList>
                    <Field>
    ...
                    </Field>
            </FieldList>
            <DocsumList>
                    <Docsum>
                            <DsName>PubDate</DsName>
                            <DsType>4</DsType>
                            <DsTypeName>string</DsTypeName>
                    </Docsum>
                    <Docsum>
                            <DsName>EPubDate</DsName>
    ...
            </DbInfo>
    </eInfoResult>

In this file, for some reason the tag `<DocsumList>` (and several others) are not listed in the DTD file `eInfo_020511.dtd`, which is specified on the second line as the DTD for this XML file. By default, the parser will stop and raise a ValidationError if it cannot find some tag in the DTD:

    >>> from Bio import Entrez
    >>> handle = open("einfo3.xml")
    >>> record = Entrez.read(handle)
    Traceback (most recent call last):
      File "<stdin>", line 1, in <module>
      File "/usr/local/lib/python2.7/site-packages/Bio/Entrez/__init__.py", line 257, in read
        record = handler.read(handle)
      File "/usr/local/lib/python2.7/site-packages/Bio/Entrez/Parser.py", line 154, in read
        self.parser.ParseFile(handle)
      File "/usr/local/lib/python2.7/site-packages/Bio/Entrez/Parser.py", line 246, in startElementHandler
        raise ValidationError(name)
    Bio.Entrez.Parser.ValidationError: Failed to find tag 'DocsumList' in the DTD. To skip all tags that are not represented in the DTD, please call Bio.Entrez.read or Bio.Entrez.parse with validate=False.

Optionally, you can instruct the parser to skip such tags instead of raising a ValidationError. This is done by calling `Entrez.read` or `Entrez.parse` with the argument `validate` equal to False:

    >>> from Bio import Entrez
    >>> handle = open("einfo3.xml")
    >>> record = Entrez.read(handle, validate=False)
    >>>

Of course, the information contained in the XML tags that are not in the DTD are not present in the record returned by `Entrez.read`.

## 9.12 Specialized parsers

The `Bio.Entrez.read()` function can parse most (if not all) XML output returned by Entrez. Entrez typically allows you to retrieve records in other formats, which may have some advantages compared to the XML format in terms of readability (or download size).

To request a specific file format from Entrez using `Bio.Entrez.efetch()` requires specifying the `rettype` and/or `retmode` optional arguments. The different combinations are described for each database type on the NCBI efetch webpage.

One obvious case is you may prefer to download sequences in the FASTA or GenBank/GenPept plain text formats (which can then be parsed with `Bio.SeqIO`, see Sections 5.3.1 and 9.6). For the literature databases, Biopython contains a parser for the `MEDLINE` format used in PubMed.

### 9.12.1 Parsing Medline records

You can find the Medline parser in `Bio.Medline`. Suppose we want to parse the file `pubmed_result1.txt`, containing one Medline record. You can find this file in Biopython’s `Tests\Medline` directory. The file looks like this:

    PMID- 12230038
    OWN - NLM
    STAT- MEDLINE
    DA  - 20020916
    DCOM- 20030606
    LR  - 20041117
    PUBM- Print
    IS  - 1467-5463 (Print)
    VI  - 3
    IP  - 3
    DP  - 2002 Sep
    TI  - The Bio* toolkits--a brief overview.
    PG  - 296-302
    AB  - Bioinformatics research is often difficult to do with commercial software. The
          Open Source BioPerl, BioPython and Biojava projects provide toolkits with
    ...

We first open the file and then parse it:

    >>> from Bio import Medline
    >>> with open("pubmed_result1.txt") as handle:
    ...    record = Medline.read(handle)
    ...

The `record` now contains the Medline record as a Python dictionary:

    >>> record["PMID"]
    '12230038'

    >>> record["AB"]
    'Bioinformatics research is often difficult to do with commercial software.
    The Open Source BioPerl, BioPython and Biojava projects provide toolkits with
    multiple functionality that make it easier to create customised pipelines or
    analysis. This review briefly compares the quirks of the underlying languages
    and the functionality, documentation, utility and relative advantages of the
    Bio counterparts, particularly from the point of view of the beginning
    biologist programmer.'

The key names used in a Medline record can be rather obscure; use

    >>> help(record)

for a brief summary.

To parse a file containing multiple Medline records, you can use the `parse` function instead:

    >>> from Bio import Medline
    >>> with open("pubmed_result2.txt") as handle:
    ...     for record in Medline.parse(handle):
    ...         print(record["TI"])
    ...
    A high level interface to SCOP and ASTRAL implemented in python.
    GenomeDiagram: a python package for the visualization of large-scale genomic data.
    Open source clustering software.
    PDB file parser and structure class implemented in Python.

Instead of parsing Medline records stored in files, you can also parse Medline records downloaded by `Bio.Entrez.efetch`. For example, let’s look at all Medline records in PubMed related to Biopython:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> handle = Entrez.esearch(db="pubmed", term="biopython")
    >>> record = Entrez.read(handle)
    >>> record["IdList"]
    ['19304878', '18606172', '16403221', '16377612', '14871861', '14630660', '12230038']

We now use `Bio.Entrez.efetch` to download these Medline records:

    >>> idlist = record["IdList"]
    >>> handle = Entrez.efetch(db="pubmed", id=idlist, rettype="medline", retmode="text")

Here, we specify `rettype="medline", retmode="text"` to obtain the Medline records in plain-text Medline format. Now we use `Bio.Medline` to parse these records:

    >>> from Bio import Medline
    >>> records = Medline.parse(handle)
    >>> for record in records:
    ...     print(record["AU"])
    ['Cock PJ', 'Antao T', 'Chang JT', 'Chapman BA', 'Cox CJ', 'Dalke A', ..., 'de Hoon MJ']
    ['Munteanu CR', 'Gonzalez-Diaz H', 'Magalhaes AL']
    ['Casbon JA', 'Crooks GE', 'Saqi MA']
    ['Pritchard L', 'White JA', 'Birch PR', 'Toth IK']
    ['de Hoon MJ', 'Imoto S', 'Nolan J', 'Miyano S']
    ['Hamelryck T', 'Manderick B']
    ['Mangalam H']

For comparison, here we show an example using the XML format:

    >>> idlist = record["IdList"]
    >>> handle = Entrez.efetch(db="pubmed", id=idlist, rettype="medline", retmode="xml")
    >>> records = Entrez.read(handle)
    >>> for record in records:
    ...     print(record["MedlineCitation"]["Article"]["ArticleTitle"])
    Biopython: freely available Python tools for computational molecular biology and
     bioinformatics.
    Enzymes/non-enzymes classification model complexity based on composition, sequence,
     3D and topological indices.
    A high level interface to SCOP and ASTRAL implemented in python.
    GenomeDiagram: a python package for the visualization of large-scale genomic data.
    Open source clustering software.
    PDB file parser and structure class implemented in Python.
    The Bio* toolkits--a brief overview.

Note that in both of these examples, for simplicity we have naively combined ESearch and EFetch. In this situation, the NCBI would expect you to use their history feature, as illustrated in Section 9.15.

### 9.12.2 Parsing GEO records

GEO (Gene Expression Omnibus) is a data repository of high-throughput gene expression and hybridization array data. The `Bio.Geo` module can be used to parse GEO-formatted data.

The following code fragment shows how to parse the example GEO file `GSE16.txt` into a record and print the record:

    >>> from Bio import Geo
    >>> handle = open("GSE16.txt")
    >>> records = Geo.parse(handle)
    >>> for record in records:
    ...     print(record)

You can search the “gds” database (GEO datasets) with ESearch:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com" # Always tell NCBI who you are
    >>> handle = Entrez.esearch(db="gds", term="GSE16")
    >>> record = Entrez.read(handle)
    >>> record["Count"]
    2
    >>> record["IdList"]
    ['200000016', '100000028']

From the Entrez website, UID “200000016” is GDS16 while the other hit “100000028” is for the associated platform, GPL28. Unfortunately, at the time of writing the NCBI don’t seem to support downloading GEO files using Entrez (not as XML, nor in the Simple Omnibus Format in Text (SOFT) format).

However, it is actually pretty straight forward to download the GEO files by FTP from `ftp://ftp.ncbi.nih.gov/pub/geo/` instead. In this case you might want `ftp://ftp.ncbi.nih.gov/pub/geo/DATA/SOFT/by_series/GSE16/GSE16_family.soft.gz` (a compressed file, see the Python module gzip).

### 9.12.3 Parsing UniGene records

UniGene is an NCBI database of the transcriptome, with each UniGene record showing the set of transcripts that are associated with a particular gene in a specific organism. A typical UniGene record looks like this:

    ID          Hs.2
    TITLE       N-acetyltransferase 2 (arylamine N-acetyltransferase)
    GENE        NAT2
    CYTOBAND    8p22
    GENE_ID     10
    LOCUSLINK   10
    HOMOL       YES
    EXPRESS      bone| connective tissue| intestine| liver| liver tumor| normal| soft tissue/muscle tissue tumor| adult
    RESTR_EXPR   adult
    CHROMOSOME  8
    STS         ACC=PMC310725P3 UNISTS=272646
    STS         ACC=WIAF-2120 UNISTS=44576
    STS         ACC=G59899 UNISTS=137181
    ...
    STS         ACC=GDB:187676 UNISTS=155563
    PROTSIM     ORG=10090; PROTGI=6754794; PROTID=NP_035004.1; PCT=76.55; ALN=288
    PROTSIM     ORG=9796; PROTGI=149742490; PROTID=XP_001487907.1; PCT=79.66; ALN=288
    PROTSIM     ORG=9986; PROTGI=126722851; PROTID=NP_001075655.1; PCT=76.90; ALN=288
    ...
    PROTSIM     ORG=9598; PROTGI=114619004; PROTID=XP_519631.2; PCT=98.28; ALN=288

    SCOUNT      38
    SEQUENCE    ACC=BC067218.1; NID=g45501306; PID=g45501307; SEQTYPE=mRNA
    SEQUENCE    ACC=NM_000015.2; NID=g116295259; PID=g116295260; SEQTYPE=mRNA
    SEQUENCE    ACC=D90042.1; NID=g219415; PID=g219416; SEQTYPE=mRNA
    SEQUENCE    ACC=D90040.1; NID=g219411; PID=g219412; SEQTYPE=mRNA
    SEQUENCE    ACC=BC015878.1; NID=g16198419; PID=g16198420; SEQTYPE=mRNA
    SEQUENCE    ACC=CR407631.1; NID=g47115198; PID=g47115199; SEQTYPE=mRNA
    SEQUENCE    ACC=BG569293.1; NID=g13576946; CLONE=IMAGE:4722596; END=5'; LID=6989; SEQTYPE=EST; TRACE=44157214
    ...
    SEQUENCE    ACC=AU099534.1; NID=g13550663; CLONE=HSI08034; END=5'; LID=8800; SEQTYPE=EST
    //

This particular record shows the set of transcripts (shown in the `SEQUENCE` lines) that originate from the human gene NAT2, encoding en N-acetyltransferase. The `PROTSIM` lines show proteins with significant similarity to NAT2, whereas the `STS` lines show the corresponding sequence-tagged sites in the genome.

To parse UniGene files, use the `Bio.UniGene` module:

    >>> from Bio import UniGene
    >>> input = open("myunigenefile.data")
    >>> record = UniGene.read(input)

The `record` returned by `UniGene.read` is a Python object with attributes corresponding to the fields in the UniGene record. For example,

    >>> record.ID
    "Hs.2"
    >>> record.title
    "N-acetyltransferase 2 (arylamine N-acetyltransferase)"

The `EXPRESS` and `RESTR_EXPR` lines are stored as Python lists of strings:

    ['bone', 'connective tissue', 'intestine', 'liver', 'liver tumor', 'normal', 'soft tissue/muscle tissue tumor', 'adult']

Specialized objects are returned for the `STS`, `PROTSIM`, and `SEQUENCE` lines, storing the keys shown in each line as attributes:

    >>> record.sts[0].acc
    'PMC310725P3'
    >>> record.sts[0].unists
    '272646'

and similarly for the `PROTSIM` and `SEQUENCE` lines.

To parse a file containing more than one UniGene record, use the `parse` function in `Bio.UniGene`:

    >>> from Bio import UniGene
    >>> input = open("unigenerecords.data")
    >>> records = UniGene.parse(input)
    >>> for record in records:
    ...     print(record.ID)

## 9.13 Using a proxy

Normally you won’t have to worry about using a proxy, but if this is an issue on your network here is how to deal with it. Internally, `Bio.Entrez` uses the standard Python library `urllib` for accessing the NCBI servers. This will check an environment variable called `http_proxy` to configure any simple proxy automatically. Unfortunately this module does not support the use of proxies which require authentication.

You may choose to set the `http_proxy` environment variable once (how you do this will depend on your operating system). Alternatively you can set this within Python at the start of your script, for example:

    import os
    os.environ["http_proxy"] = "http://proxyhost.example.com:8080"

See the urllib documentation for more details.

## 9.14 Examples

### 9.14.1 PubMed and Medline

If you are in the medical field or interested in human issues (and many times even if you are not!), PubMed (`http://www.ncbi.nlm.nih.gov/PubMed/`) is an excellent source of all kinds of goodies. So like other things, we’d like to be able to grab information from it and use it in Python scripts.

In this example, we will query PubMed for all articles having to do with orchids (see section 2.3 for our motivation). We first check how many of such articles there are:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> handle = Entrez.egquery(term="orchid")
    >>> record = Entrez.read(handle)
    >>> for row in record["eGQueryResult"]:
    ...     if row["DbName"]=="pubmed":
    ...         print(row["Count"])
    463

Now we use the `Bio.Entrez.efetch` function to download the PubMed IDs of these 463 articles:

    >>> handle = Entrez.esearch(db="pubmed", term="orchid", retmax=463)
    >>> record = Entrez.read(handle)
    >>> idlist = record["IdList"]
    >>> print(idlist)

This returns a Python list containing all of the PubMed IDs of articles related to orchids:

    ['18680603', '18665331', '18661158', '18627489', '18627452', '18612381',
    '18594007', '18591784', '18589523', '18579475', '18575811', '18575690',
    ...

Now that we’ve got them, we obviously want to get the corresponding Medline records and extract the information from them. Here, we’ll download the Medline records in the Medline flat-file format, and use the `Bio.Medline` module to parse them:

    >>> from Bio import Medline
    >>> handle = Entrez.efetch(db="pubmed", id=idlist, rettype="medline",
                               retmode="text")
    >>> records = Medline.parse(handle)

NOTE - We’ve just done a separate search and fetch here, the NCBI much prefer you to take advantage of their history support in this situation. See Section 9.15.

Keep in mind that `records` is an iterator, so you can iterate through the records only once. If you want to save the records, you can convert them to a list:

    >>> records = list(records)

Let’s now iterate over the records to print out some information about each record:

    >>> for record in records:
    ...     print("title:", record.get("TI", "?"))
    ...     print("authors:", record.get("AU", "?"))
    ...     print("source:", record.get("SO", "?"))
    ...     print("")

The output for this looks like:

    title: Sex pheromone mimicry in the early spider orchid (ophrys sphegodes):
    patterns of hydrocarbons as the key mechanism for pollination by sexual
    deception [In Process Citation]
    authors: ['Schiestl FP', 'Ayasse M', 'Paulus HF', 'Lofstedt C', 'Hansson BS',
    'Ibarra F', 'Francke W']
    source: J Comp Physiol [A] 2000 Jun;186(6):567-74

Especially interesting to note is the list of authors, which is returned as a standard Python list. This makes it easy to manipulate and search using standard Python tools. For instance, we could loop through a whole bunch of entries searching for a particular author with code like the following:

    >>> search_author = "Waits T"

    >>> for record in records:
    ...     if not "AU" in record:
    ...         continue
    ...     if search_author in record["AU"]:
    ...         print("Author %s found: %s" % (search_author, record["SO"]))

Hopefully this section gave you an idea of the power and flexibility of the Entrez and Medline interfaces and how they can be used together.

### 9.14.2 Searching, downloading, and parsing Entrez Nucleotide records

Here we’ll show a simple example of performing a remote Entrez query. In section 2.3 of the parsing examples, we talked about using NCBI’s Entrez website to search the NCBI nucleotide databases for info on Cypripedioideae, our friends the lady slipper orchids. Now, we’ll look at how to automate that process using a Python script. In this example, we’ll just show how to connect, get the results, and parse them, with the Entrez module doing all of the work.

First, we use EGQuery to find out the number of results we will get before actually downloading them. EGQuery will tell us how many search results were found in each of the databases, but for this example we are only interested in nucleotides:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> handle = Entrez.egquery(term="Cypripedioideae")
    >>> record = Entrez.read(handle)
    >>> for row in record["eGQueryResult"]:
    ...     if row["DbName"]=="nuccore":
    ...         print(row["Count"])
    814

So, we expect to find 814 Entrez Nucleotide records (this is the number I obtained in 2008; it is likely to increase in the future). If you find some ridiculously high number of hits, you may want to reconsider if you really want to download all of them, which is our next step:

    >>> from Bio import Entrez
    >>> handle = Entrez.esearch(db="nucleotide", term="Cypripedioideae", retmax=814)
    >>> record = Entrez.read(handle)

Here, `record` is a Python dictionary containing the search results and some auxiliary information. Just for information, let’s look at what is stored in this dictionary:

    >>> print(record.keys())
    [u'Count', u'RetMax', u'IdList', u'TranslationSet', u'RetStart', u'QueryTranslation']

First, let’s check how many results were found:

    >>> print(record["Count"])
    '814'

which is the number we expected. The 814 results are stored in `record['IdList']`:

    >>> len(record["IdList"])
    814

Let’s look at the first five results:

    >>> record["IdList"][:5]
    ['187237168', '187372713', '187372690', '187372688', '187372686']

We can download these records using `efetch`. While you could download these records one by one, to reduce the load on NCBI’s servers, it is better to fetch a bunch of records at the same time, shown below. However, in this situation you should ideally be using the history feature described later in Section 9.15.

    >>> idlist = ",".join(record["IdList"][:5])
    >>> print(idlist)
    187237168,187372713,187372690,187372688,187372686
    >>> handle = Entrez.efetch(db="nucleotide", id=idlist, retmode="xml")
    >>> records = Entrez.read(handle)
    >>> len(records)
    5

Each of these records corresponds to one GenBank record.

    >>> print(records[0].keys())
    [u'GBSeq_moltype', u'GBSeq_source', u'GBSeq_sequence',
     u'GBSeq_primary-accession', u'GBSeq_definition', u'GBSeq_accession-version',
     u'GBSeq_topology', u'GBSeq_length', u'GBSeq_feature-table',
     u'GBSeq_create-date', u'GBSeq_other-seqids', u'GBSeq_division',
     u'GBSeq_taxonomy', u'GBSeq_references', u'GBSeq_update-date',
     u'GBSeq_organism', u'GBSeq_locus', u'GBSeq_strandedness']

    >>> print(records[0]["GBSeq_primary-accession"])
    DQ110336

    >>> print(records[0]["GBSeq_other-seqids"])
    ['gb|DQ110336.1|', 'gi|187237168']

    >>> print(records[0]["GBSeq_definition"])
    Cypripedium calceolus voucher Davis 03-03 A maturase (matR) gene, partial cds;
    mitochondrial

    >>> print(records[0]["GBSeq_organism"])
    Cypripedium calceolus

You could use this to quickly set up searches – but for heavy usage, see Section 9.15.

### 9.14.3 Searching, downloading, and parsing GenBank records

The GenBank record format is a very popular method of holding information about sequences, sequence features, and other associated sequence information. The format is a good way to get information from the NCBI databases at `http://www.ncbi.nlm.nih.gov/`.

In this example we’ll show how to query the NCBI databases,to retrieve the records from the query, and then parse them using `Bio.SeqIO` - something touched on in Section 5.3.1. For simplicity, this example does not take advantage of the WebEnv history feature – see Section 9.15 for this.

First, we want to make a query and find out the ids of the records to retrieve. Here we’ll do a quick search for one of our favorite organisms, Opuntia (prickly-pear cacti). We can do quick search and get back the GIs (GenBank identifiers) for all of the corresponding records. First we check how many records there are:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> handle = Entrez.egquery(term="Opuntia AND rpl16")
    >>> record = Entrez.read(handle)
    >>> for row in record["eGQueryResult"]:
    ...     if row["DbName"]=="nuccore":
    ...         print(row["Count"])
    ...
    9

Now we download the list of GenBank identifiers:

    >>> handle = Entrez.esearch(db="nuccore", term="Opuntia AND rpl16")
    >>> record = Entrez.read(handle)
    >>> gi_list = record["IdList"]
    >>> gi_list
    ['57240072', '57240071', '6273287', '6273291', '6273290', '6273289', '6273286',
    '6273285', '6273284']

Now we use these GIs to download the GenBank records - note that with older versions of Biopython you had to supply a comma separated list of GI numbers to Entrez, as of Biopython 1.59 you can pass a list and this is converted for you:

    >>> gi_str = ",".join(gi_list)
    >>> handle = Entrez.efetch(db="nuccore", id=gi_str, rettype="gb", retmode="text")

If you want to look at the raw GenBank files, you can read from this handle and print out the result:

    >>> text = handle.read()
    >>> print(text)
    LOCUS       AY851612                 892 bp    DNA     linear   PLN 10-APR-2007
    DEFINITION  Opuntia subulata rpl16 gene, intron; chloroplast.
    ACCESSION   AY851612
    VERSION     AY851612.1  GI:57240072
    KEYWORDS    .
    SOURCE      chloroplast Austrocylindropuntia subulata
      ORGANISM  Austrocylindropuntia subulata
                Eukaryota; Viridiplantae; Streptophyta; Embryophyta; Tracheophyta;
                Spermatophyta; Magnoliophyta; eudicotyledons; core eudicotyledons;
                Caryophyllales; Cactaceae; Opuntioideae; Austrocylindropuntia.
    REFERENCE   1  (bases 1 to 892)
      AUTHORS   Butterworth,C.A. and Wallace,R.S.
    ...

In this case, we are just getting the raw records. To get the records in a more Python-friendly form, we can use `Bio.SeqIO` to parse the GenBank data into `SeqRecord` objects, including `SeqFeature` objects (see Chapter 5):

    >>> from Bio import SeqIO
    >>> handle = Entrez.efetch(db="nuccore", id=gi_str, rettype="gb", retmode="text")
    >>> records = SeqIO.parse(handle, "gb")

We can now step through the records and look at the information we are interested in:

    >>> for record in records:
    >>> ...    print("%s, length %i, with %i features" \
    >>> ...           % (record.name, len(record), len(record.features)))
    AY851612, length 892, with 3 features
    AY851611, length 881, with 3 features
    AF191661, length 895, with 3 features
    AF191665, length 902, with 3 features
    AF191664, length 899, with 3 features
    AF191663, length 899, with 3 features
    AF191660, length 893, with 3 features
    AF191659, length 894, with 3 features
    AF191658, length 896, with 3 features

Using these automated query retrieval functionality is a big plus over doing things by hand. Although the module should obey the NCBI’s max three queries per second rule, the NCBI have other recommendations like avoiding peak hours. See Section 9.1. In particular, please note that for simplicity, this example does not use the WebEnv history feature. You should use this for any non-trivial search and download work, see Section 9.15.

Finally, if plan to repeat your analysis, rather than downloading the files from the NCBI and parsing them immediately (as shown in this example), you should just download the records once and save them to your hard disk, and then parse the local file.

### 9.14.4 Finding the lineage of an organism

Staying with a plant example, let’s now find the lineage of the Cypripedioideae orchid family. First, we search the Taxonomy database for Cypripedioideae, which yields exactly one NCBI taxonomy identifier:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"     # Always tell NCBI who you are
    >>> handle = Entrez.esearch(db="Taxonomy", term="Cypripedioideae")
    >>> record = Entrez.read(handle)
    >>> record["IdList"]
    ['158330']
    >>> record["IdList"][0]
    '158330'

Now, we use `efetch` to download this entry in the Taxonomy database, and then parse it:

    >>> handle = Entrez.efetch(db="Taxonomy", id="158330", retmode="xml")
    >>> records = Entrez.read(handle)

Again, this record stores lots of information:

    >>> records[0].keys()
    [u'Lineage', u'Division', u'ParentTaxId', u'PubDate', u'LineageEx',
     u'CreateDate', u'TaxId', u'Rank', u'GeneticCode', u'ScientificName',
     u'MitoGeneticCode', u'UpdateDate']

We can get the lineage directly from this record:

    >>> records[0]["Lineage"]
    'cellular organisms; Eukaryota; Viridiplantae; Streptophyta; Streptophytina;
     Embryophyta; Tracheophyta; Euphyllophyta; Spermatophyta; Magnoliophyta;
     Liliopsida; Asparagales; Orchidaceae'

The record data contains much more than just the information shown here - for example look under `"LineageEx"` instead of `"Lineage"` and you’ll get the NCBI taxon identifiers of the lineage entries too.

## 9.15 Using the history and WebEnv

Often you will want to make a series of linked queries. Most typically, running a search, perhaps refining the search, and then retrieving detailed search results. You can do this by making a series of separate calls to Entrez. However, the NCBI prefer you to take advantage of their history support - for example combining ESearch and EFetch.

Another typical use of the history support would be to combine EPost and EFetch. You use EPost to upload a list of identifiers, which starts a new history session. You then download the records with EFetch by referring to the session (instead of the identifiers).

### 9.15.1 Searching for and downloading sequences using the history

Suppose we want to search and download all the Opuntia rpl16 nucleotide sequences, and store them in a FASTA file. As shown in Section 9.14.3, we can naively combine `Bio.Entrez.esearch()` to get a list of GI numbers, and then call `Bio.Entrez.efetch()` to download them all.

However, the approved approach is to run the search with the history feature. Then, we can fetch the results by reference to the search results - which the NCBI can anticipate and cache.

To do this, call `Bio.Entrez.esearch()` as normal, but with the additional argument of `usehistory="y"`,

    >>> from Bio import Entrez
    >>> Entrez.email = "history.user@example.com"
    >>> search_handle = Entrez.esearch(db="nucleotide",term="Opuntia[orgn] and rpl16",
                                       usehistory="y")
    >>> search_results = Entrez.read(search_handle)
    >>> search_handle.close()

When you get the XML output back, it will still include the usual search results:

    >>> gi_list = search_results["IdList"]
    >>> count = int(search_results["Count"])
    >>> assert count == len(gi_list)

However, you also get given two additional pieces of information, the `WebEnv` session cookie, and the `QueryKey`:

    >>> webenv = search_results["WebEnv"]
    >>> query_key = search_results["QueryKey"]

Having stored these values in variables `session_cookie` and `query_key` we can use them as parameters to `Bio.Entrez.efetch()` instead of giving the GI numbers as identifiers.

While for small searches you might be OK downloading everything at once, it is better to download in batches. You use the `retstart` and `retmax` parameters to specify which range of search results you want returned (starting entry using zero-based counting, and maximum number of results to return). Sometimes you will get intermittent errors from Entrez, HTTPError 5XX, we use a try except pause retry block to address this. For example,

    from Bio import Entrez
    import time
    try:
        from urllib.error import HTTPError  # for Python 3
    except ImportError:
        from urllib2 import HTTPError  # for Python 2
    batch_size = 3
    out_handle = open("orchid_rpl16.fasta", "w")
    for start in range(0, count, batch_size):
        end = min(count, start+batch_size)
        print("Going to download record %i to %i" % (start+1, end))
        attempt = 1
        while attempt <= 3:
            try:
                fetch_handle = Entrez.efetch(db="nucleotide", rettype="fasta", retmode="text",
                                             retstart=start, retmax=batch_size,
                                             webenv=webenv, query_key=query_key)
            except HTTPError as err:
                if 500 <= err.code <= 599:
                    print("Received error from server %s" % err)
                    print("Attempt %i of 3" % attempt)
                    attempt += 1
                    time.sleep(15)
                else:
                    raise
        data = fetch_handle.read()
        fetch_handle.close()
        out_handle.write(data)
    out_handle.close()

For illustrative purposes, this example downloaded the FASTA records in batches of three. Unless you are downloading genomes or chromosomes, you would normally pick a larger batch size.

### 9.15.2 Searching for and downloading abstracts using the history

Here is another history example, searching for papers published in the last year about the Opuntia, and then downloading them into a file in MedLine format:

    from Bio import Entrez
    import time
    try:
        from urllib.error import HTTPError  # for Python 3
    except ImportError:
        from urllib2 import HTTPError  # for Python 2
    Entrez.email = "history.user@example.com"
    search_results = Entrez.read(Entrez.esearch(db="pubmed",
                                                term="Opuntia[ORGN]",
                                                reldate=365, datetype="pdat",
                                                usehistory="y"))
    count = int(search_results["Count"])
    print("Found %i results" % count)

    batch_size = 10
    out_handle = open("recent_orchid_papers.txt", "w")
    for start in range(0,count,batch_size):
        end = min(count, start+batch_size)
        print("Going to download record %i to %i" % (start+1, end))
        attempt = 1
        while attempt <= 3:
            try:
                fetch_handle = Entrez.efetch(db="pubmed",rettype="medline",
                                             retmode="text",retstart=start,
                                             retmax=batch_size,
                                             webenv=search_results["WebEnv"],
                                             query_key=search_results["QueryKey"])
            except HTTPError as err:
                if 500 <= err.code <= 599:
                    print("Received error from server %s" % err)
                    print("Attempt %i of 3" % attempt)
                    attempt += 1
                    time.sleep(15)
                else:
                    raise
        data = fetch_handle.read()
        fetch_handle.close()
        out_handle.write(data)
    out_handle.close()

At the time of writing, this gave 28 matches - but because this is a date dependent search, this will of course vary. As described in Section 9.12.1 above, you can then use `Bio.Medline` to parse the saved records.

### 9.15.3 Searching for citations

Back in Section 9.7 we mentioned ELink can be used to search for citations of a given paper. Unfortunately this only covers journals indexed for PubMed Central (doing it for all the journals in PubMed would mean a lot more work for the NIH). Let’s try this for the Biopython PDB parser paper, PubMed ID 14630660:

    >>> from Bio import Entrez
    >>> Entrez.email = "A.N.Other@example.com"
    >>> pmid = "14630660"
    >>> results = Entrez.read(Entrez.elink(dbfrom="pubmed", db="pmc",
    ...                                    LinkName="pubmed_pmc_refs", from_uid=pmid))
    >>> pmc_ids = [link["Id"] for link in results[0]["LinkSetDb"][0]["Link"]]
    >>> pmc_ids
    ['2744707', '2705363', '2682512', ..., '1190160']

Great - eleven articles. But why hasn’t the Biopython application note been found (PubMed ID 19304878)? Well, as you might have guessed from the variable names, there are not actually PubMed IDs, but PubMed Central IDs. Our application note is the third citing paper in that list, PMCID 2682512.

So, what if (like me) you’d rather get back a list of PubMed IDs? Well we can call ELink again to translate them. This becomes a two step process, so by now you should expect to use the history feature to accomplish it (Section 9.15).

But first, taking the more straightforward approach of making a second (separate) call to ELink:

    >>> results2 = Entrez.read(Entrez.elink(dbfrom="pmc", db="pubmed", LinkName="pmc_pubmed",
    ...                                     from_uid=",".join(pmc_ids)))
    >>> pubmed_ids = [link["Id"] for link in results2[0]["LinkSetDb"][0]["Link"]]
    >>> pubmed_ids
    ['19698094', '19450287', '19304878', ..., '15985178']

This time you can immediately spot the Biopython application note as the third hit (PubMed ID 19304878).

Now, let’s do that all again but with the history …TODO.

And finally, don’t forget to include your own email address in the Entrez calls.

# Chapter 10 Swiss-Prot and ExPASy

## 10.1 Parsing Swiss-Prot files

Swiss-Prot (`http://www.expasy.org/sprot`) is a hand-curated database of protein sequences. Biopython can parse the “plain text” Swiss-Prot file format, which is still used for the UniProt Knowledgebase which combined Swiss-Prot, TrEMBL and PIR-PSD. We do not (yet) support the UniProtKB XML file format.

### 10.1.1 Parsing Swiss-Prot records

In Section 5.3.2, we described how to extract the sequence of a Swiss-Prot record as a `SeqRecord` object. Alternatively, you can store the Swiss-Prot record in a `Bio.SwissProt.Record` object, which in fact stores the complete information contained in the Swiss-Prot record. In this section, we describe how to extract `Bio.SwissProt.Record` objects from a Swiss-Prot file.

To parse a Swiss-Prot record, we first get a handle to a Swiss-Prot record. There are several ways to do so, depending on where and how the Swiss-Prot record is stored:

- Open a Swiss-Prot file locally:
  `>>> handle = open("myswissprotfile.dat")`
- Open a gzipped Swiss-Prot file:

      >>> import gzip
      >>> handle = gzip.open("myswissprotfile.dat.gz")

- Open a Swiss-Prot file over the internet:

      >>> import urllib
      >>> handle = urllib.urlopen("http://www.somelocation.org/data/someswissprotfile.dat")

- Open a Swiss-Prot file over the internet from the ExPASy database (see section 10.5.1):

      >>> from Bio import ExPASy
      >>> handle = ExPASy.get_sprot_raw(myaccessionnumber)

The key point is that for the parser, it doesn’t matter how the handle was created, as long as it points to data in the Swiss-Prot format.

We can use `Bio.SeqIO` as described in Section 5.3.2 to get file format agnostic `SeqRecord` objects. Alternatively, we can use `Bio.SwissProt` get `Bio.SwissProt.Record` objects, which are a much closer match to the underlying file format.

To read one Swiss-Prot record from the handle, we use the function `read()`:

    >>> from Bio import SwissProt
    >>> record = SwissProt.read(handle)

This function should be used if the handle points to exactly one Swiss-Prot record. It raises a `ValueError` if no Swiss-Prot record was found, and also if more than one record was found.

We can now print out some information about this record:

    >>> print(record.description)
    'RecName: Full=Chalcone synthase 3; EC=2.3.1.74; AltName: Full=Naringenin-chalcone synthase 3;'
    >>> for ref in record.references:
    ...     print("authors:", ref.authors)
    ...     print("title:", ref.title)
    ...
    authors: Liew C.F., Lim S.H., Loh C.S., Goh C.J.;
    title: "Molecular cloning and sequence analysis of chalcone synthase cDNAs of
    Bromheadia finlaysoniana.";
    >>> print(record.organism_classification)
    ['Eukaryota', 'Viridiplantae', 'Streptophyta', 'Embryophyta', ..., 'Bromheadia']

To parse a file that contains more than one Swiss-Prot record, we use the `parse` function instead. This function allows us to iterate over the records in the file.

For example, let’s parse the full Swiss-Prot database and collect all the descriptions. You can download this from the ExPAYs FTP site as a single gzipped-file `uniprot_sprot.dat.gz` (about 300MB). This is a compressed file containing a single file, `uniprot_sprot.dat` (over 1.5GB).

As described at the start of this section, you can use the Python library `gzip` to open and uncompress a `.gz` file, like this:

    >>> import gzip
    >>> handle = gzip.open("uniprot_sprot.dat.gz")

However, uncompressing a large file takes time, and each time you open the file for reading in this way, it has to be decompressed on the fly. So, if you can spare the disk space you’ll save time in the long run if you first decompress the file to disk, to get the `uniprot_sprot.dat` file inside. Then you can open the file for reading as usual:

    >>> handle = open("uniprot_sprot.dat")

As of June 2009, the full Swiss-Prot database downloaded from ExPASy contained 468851 Swiss-Prot records. One concise way to build up a list of the record descriptions is with a list comprehension:

    >>> from Bio import SwissProt
    >>> handle = open("uniprot_sprot.dat")
    >>> descriptions = [record.description for record in SwissProt.parse(handle)]
    >>> len(descriptions)
    468851
    >>> descriptions[:5]
    ['RecName: Full=Protein MGF 100-1R;',
     'RecName: Full=Protein MGF 100-1R;',
     'RecName: Full=Protein MGF 100-1R;',
     'RecName: Full=Protein MGF 100-1R;',
     'RecName: Full=Protein MGF 100-2L;']

Or, using a for loop over the record iterator:

    >>> from Bio import SwissProt
    >>> descriptions = []
    >>> handle = open("uniprot_sprot.dat")
    >>> for record in SwissProt.parse(handle):
    ...     descriptions.append(record.description)
    ...
    >>> len(descriptions)
    468851

Because this is such a large input file, either way takes about eleven minutes on my new desktop computer (using the uncompressed `uniprot_sprot.dat` file as input).

It is equally easy to extract any kind of information you’d like from Swiss-Prot records. To see the members of a Swiss-Prot record, use

    >>> dir(record)
    ['__doc__', '__init__', '__module__', 'accessions', 'annotation_update',
    'comments', 'created', 'cross_references', 'data_class', 'description',
    'entry_name', 'features', 'gene_name', 'host_organism', 'keywords',
    'molecule_type', 'organelle', 'organism', 'organism_classification',
    'references', 'seqinfo', 'sequence', 'sequence_length',
    'sequence_update', 'taxonomy_id']

### 10.1.2 Parsing the Swiss-Prot keyword and category list

Swiss-Prot also distributes a file `keywlist.txt`, which lists the keywords and categories used in Swiss-Prot. The file contains entries in the following form:

    ID   2Fe-2S.
    AC   KW-0001
    DE   Protein which contains at least one 2Fe-2S iron-sulfur cluster: 2 iron
    DE   atoms complexed to 2 inorganic sulfides and 4 sulfur atoms of
    DE   cysteines from the protein.
    SY   Fe2S2; [2Fe-2S] cluster; [Fe2S2] cluster; Fe2/S2 (inorganic) cluster;
    SY   Di-mu-sulfido-diiron; 2 iron, 2 sulfur cluster binding.
    GO   GO:0051537; 2 iron, 2 sulfur cluster binding
    HI   Ligand: Iron; Iron-sulfur; 2Fe-2S.
    HI   Ligand: Metal-binding; 2Fe-2S.
    CA   Ligand.
    //
    ID   3D-structure.
    AC   KW-0002
    DE   Protein, or part of a protein, whose three-dimensional structure has
    DE   been resolved experimentally (for example by X-ray crystallography or
    DE   NMR spectroscopy) and whose coordinates are available in the PDB
    DE   database. Can also be used for theoretical models.
    HI   Technical term: 3D-structure.
    CA   Technical term.
    //
    ID   3Fe-4S.
    ...

The entries in this file can be parsed by the `parse` function in the `Bio.SwissProt.KeyWList` module. Each entry is then stored as a `Bio.SwissProt.KeyWList.Record`, which is a Python dictionary.

    >>> from Bio.SwissProt import KeyWList
    >>> handle = open("keywlist.txt")
    >>> records = KeyWList.parse(handle)
    >>> for record in records:
    ...     print(record['ID'])
    ...     print(record['DE'])

This prints

    2Fe-2S.
    Protein which contains at least one 2Fe-2S iron-sulfur cluster: 2 iron atoms
    complexed to 2 inorganic sulfides and 4 sulfur atoms of cysteines from the
    protein.
    ...

## 10.2 Parsing Prosite records

Prosite is a database containing protein domains, protein families, functional sites, as well as the patterns and profiles to recognize them. Prosite was developed in parallel with Swiss-Prot. In Biopython, a Prosite record is represented by the `Bio.ExPASy.Prosite.Record` class, whose members correspond to the different fields in a Prosite record.

In general, a Prosite file can contain more than one Prosite records. For example, the full set of Prosite records, which can be downloaded as a single file (`prosite.dat`) from the ExPASy FTP site, contains 2073 records (version 20.24 released on 4 December 2007). To parse such a file, we again make use of an iterator:

    >>> from Bio.ExPASy import Prosite
    >>> handle = open("myprositefile.dat")
    >>> records = Prosite.parse(handle)

We can now take the records one at a time and print out some information. For example, using the file containing the complete Prosite database, we’d find

    >>> from Bio.ExPASy import Prosite
    >>> handle = open("prosite.dat")
    >>> records = Prosite.parse(handle)
    >>> record = next(records)
    >>> record.accession
    'PS00001'
    >>> record.name
    'ASN_GLYCOSYLATION'
    >>> record.pdoc
    'PDOC00001'
    >>> record = next(records)
    >>> record.accession
    'PS00004'
    >>> record.name
    'CAMP_PHOSPHO_SITE'
    >>> record.pdoc
    'PDOC00004'
    >>> record = next(records)
    >>> record.accession
    'PS00005'
    >>> record.name
    'PKC_PHOSPHO_SITE'
    >>> record.pdoc
    'PDOC00005'

and so on. If you’re interested in how many Prosite records there are, you could use

    >>> from Bio.ExPASy import Prosite
    >>> handle = open("prosite.dat")
    >>> records = Prosite.parse(handle)
    >>> n = 0
    >>> for record in records: n+=1
    ...
    >>> n
    2073

To read exactly one Prosite from the handle, you can use the `read` function:

    >>> from Bio.ExPASy import Prosite
    >>> handle = open("mysingleprositerecord.dat")
    >>> record = Prosite.read(handle)

This function raises a ValueError if no Prosite record is found, and also if more than one Prosite record is found.

## 10.3 Parsing Prosite documentation records

In the Prosite example above, the `record.pdoc` accession numbers `'PDOC00001'`, `'PDOC00004'`, `'PDOC00005'` and so on refer to Prosite documentation. The Prosite documentation records are available from ExPASy as individual files, and as one file (`prosite.doc`) containing all Prosite documentation records.

We use the parser in `Bio.ExPASy.Prodoc` to parse Prosite documentation records. For example, to create a list of all accession numbers of Prosite documentation record, you can use

    >>> from Bio.ExPASy import Prodoc
    >>> handle = open("prosite.doc")
    >>> records = Prodoc.parse(handle)
    >>> accessions = [record.accession for record in records]

Again a `read()` function is provided to read exactly one Prosite documentation record from the handle.

## 10.4 Parsing Enzyme records

ExPASy’s Enzyme database is a repository of information on enzyme nomenclature. A typical Enzyme record looks as follows:

    ID   3.1.1.34
    DE   Lipoprotein lipase.
    AN   Clearing factor lipase.
    AN   Diacylglycerol lipase.
    AN   Diglyceride lipase.
    CA   Triacylglycerol + H(2)O = diacylglycerol + a carboxylate.
    CC   -!- Hydrolyzes triacylglycerols in chylomicrons and very low-density
    CC       lipoproteins (VLDL).
    CC   -!- Also hydrolyzes diacylglycerol.
    PR   PROSITE; PDOC00110;
    DR   P11151, LIPL_BOVIN ;  P11153, LIPL_CAVPO ;  P11602, LIPL_CHICK ;
    DR   P55031, LIPL_FELCA ;  P06858, LIPL_HUMAN ;  P11152, LIPL_MOUSE ;
    DR   O46647, LIPL_MUSVI ;  P49060, LIPL_PAPAN ;  P49923, LIPL_PIG   ;
    DR   Q06000, LIPL_RAT   ;  Q29524, LIPL_SHEEP ;
    //

In this example, the first line shows the EC (Enzyme Commission) number of lipoprotein lipase (second line). Alternative names of lipoprotein lipase are "clearing factor lipase", "diacylglycerol lipase", and "diglyceride lipase" (lines 3 through 5). The line starting with "CA" shows the catalytic activity of this enzyme. Comment lines start with "CC". The "PR" line shows references to the Prosite Documentation records, and the "DR" lines show references to Swiss-Prot records. Not of these entries are necessarily present in an Enzyme record.

In Biopython, an Enzyme record is represented by the `Bio.ExPASy.Enzyme.Record` class. This record derives from a Python dictionary and has keys corresponding to the two-letter codes used in Enzyme files. To read an Enzyme file containing one Enzyme record, use the `read` function in `Bio.ExPASy.Enzyme`:

    >>> from Bio.ExPASy import Enzyme
    >>> with open("lipoprotein.txt") as handle:
    ...     record = Enzyme.read(handle)
    ...
    >>> record["ID"]
    '3.1.1.34'
    >>> record["DE"]
    'Lipoprotein lipase.'
    >>> record["AN"]
    ['Clearing factor lipase.', 'Diacylglycerol lipase.', 'Diglyceride lipase.']
    >>> record["CA"]
    'Triacylglycerol + H(2)O = diacylglycerol + a carboxylate.'
    >>> record["PR"]
    ['PDOC00110']

    >>> record["CC"]
    ['Hydrolyzes triacylglycerols in chylomicrons and very low-density lipoproteins
    (VLDL).', 'Also hydrolyzes diacylglycerol.']
    >>> record["DR"]
    [['P11151', 'LIPL_BOVIN'], ['P11153', 'LIPL_CAVPO'], ['P11602', 'LIPL_CHICK'],
    ['P55031', 'LIPL_FELCA'], ['P06858', 'LIPL_HUMAN'], ['P11152', 'LIPL_MOUSE'],
    ['O46647', 'LIPL_MUSVI'], ['P49060', 'LIPL_PAPAN'], ['P49923', 'LIPL_PIG'],
    ['Q06000', 'LIPL_RAT'], ['Q29524', 'LIPL_SHEEP']]

The `read` function raises a ValueError if no Enzyme record is found, and also if more than one Enzyme record is found.

The full set of Enzyme records can be downloaded as a single file (`enzyme.dat`) from the ExPASy FTP site, containing 4877 records (release of 3 March 2009). To parse such a file containing multiple Enzyme records, use the `parse` function in `Bio.ExPASy.Enzyme` to obtain an iterator:

    >>> from Bio.ExPASy import Enzyme
    >>> handle = open("enzyme.dat")
    >>> records = Enzyme.parse(handle)

We can now iterate over the records one at a time. For example, we can make a list of all EC numbers for which an Enzyme record is available:

    >>> ecnumbers = [record["ID"] for record in records]

## 10.5 Accessing the ExPASy server

Swiss-Prot, Prosite, and Prosite documentation records can be downloaded from the ExPASy web server at `http://www.expasy.org`. Six kinds of queries are available from ExPASy:

get_prodoc_entry
  To download a Prosite documentation record in HTML format
get_prosite_entry
  To download a Prosite record in HTML format
get_prosite_raw
  To download a Prosite or Prosite documentation record in raw format
get_sprot_raw
  To download a Swiss-Prot record in raw format
sprot_search_ful
  To search for a Swiss-Prot record
sprot_search_de
  To search for a Swiss-Prot record

To access this web server from a Python script, we use the `Bio.ExPASy` module.

### 10.5.1 Retrieving a Swiss-Prot record

Let’s say we are looking at chalcone synthases for Orchids (see section 2.3 for some justification for looking for interesting things about orchids). Chalcone synthase is involved in flavanoid biosynthesis in plants, and flavanoids make lots of cool things like pigment colors and UV protectants.

If you do a search on Swiss-Prot, you can find three orchid proteins for Chalcone Synthase, id numbers O23729, O23730, O23731. Now, let’s write a script which grabs these, and parses out some interesting information.

First, we grab the records, using the `get_sprot_raw()` function of `Bio.ExPASy`. This function is very nice since you can feed it an id and get back a handle to a raw text record (no HTML to mess with!). We can the use `Bio.SwissProt.read` to pull out the Swiss-Prot record, or `Bio.SeqIO.read` to get a SeqRecord. The following code accomplishes what I just wrote:

    >>> from Bio import ExPASy
    >>> from Bio import SwissProt

    >>> accessions = ["O23729", "O23730", "O23731"]
    >>> records = []

    >>> for accession in accessions:
    ...     handle = ExPASy.get_sprot_raw(accession)
    ...     record = SwissProt.read(handle)
    ...     records.append(record)

If the accession number you provided to `ExPASy.get_sprot_raw` does not exist, then `SwissProt.read(handle)` will raise a `ValueError`. You can catch `ValueException` exceptions to detect invalid accession numbers:

    >>> for accession in accessions:
    ...     handle = ExPASy.get_sprot_raw(accession)
    ...     try:
    ...         record = SwissProt.read(handle)
    ...     except ValueException:
    ...         print("WARNING: Accession %s not found" % accession)
    ...     records.append(record)

### 10.5.2 Searching Swiss-Prot

Now, you may remark that I knew the records’ accession numbers beforehand. Indeed, `get_sprot_raw()` needs either the entry name or an accession number. When you don’t have them handy, you can use one of the `sprot_search_de()` or `sprot_search_ful()` functions.

`sprot_search_de()` searches in the ID, DE, GN, OS and OG lines; `sprot_search_ful()` searches in (nearly) all the fields. They are detailed on `http://www.expasy.org/cgi-bin/sprot-search-de` and `http://www.expasy.org/cgi-bin/sprot-search-ful` respectively. Note that they don’t search in TrEMBL by default (argument `trembl`). Note also that they return HTML pages; however, accession numbers are quite easily extractable:

    >>> from Bio import ExPASy
    >>> import re

    >>> handle = ExPASy.sprot_search_de("Orchid Chalcone Synthase")
    >>> # or:
    >>> # handle = ExPASy.sprot_search_ful("Orchid and {Chalcone Synthase}")
    >>> html_results = handle.read()
    >>> if "Number of sequences found" in html_results:
    ...     ids = re.findall(r'HREF="/uniprot/(\w+)"', html_results)
    ... else:
    ...     ids = re.findall(r'href="/cgi-bin/niceprot\.pl\?(\w+)"', html_results)

### 10.5.3 Retrieving Prosite and Prosite documentation records

Prosite and Prosite documentation records can be retrieved either in HTML format, or in raw format. To parse Prosite and Prosite documentation records with Biopython, you should retrieve the records in raw format. For other purposes, however, you may be interested in these records in HTML format.

To retrieve a Prosite or Prosite documentation record in raw format, use `get_prosite_raw()`. For example, to download a Prosite record and print it out in raw text format, use

    >>> from Bio import ExPASy
    >>> handle = ExPASy.get_prosite_raw('PS00001')
    >>> text = handle.read()
    >>> print(text)

To retrieve a Prosite record and parse it into a `Bio.Prosite.Record` object, use

    >>> from Bio import ExPASy
    >>> from Bio import Prosite
    >>> handle = ExPASy.get_prosite_raw('PS00001')
    >>> record = Prosite.read(handle)

The same function can be used to retrieve a Prosite documentation record and parse it into a `Bio.ExPASy.Prodoc.Record` object:

    >>> from Bio import ExPASy
    >>> from Bio.ExPASy import Prodoc
    >>> handle = ExPASy.get_prosite_raw('PDOC00001')
    >>> record = Prodoc.read(handle)

For non-existing accession numbers, `ExPASy.get_prosite_raw` returns a handle to an emptry string. When faced with an empty string, `Prosite.read` and `Prodoc.read` will raise a ValueError. You can catch these exceptions to detect invalid accession numbers.

The functions `get_prosite_entry()` and `get_prodoc_entry()` are used to download Prosite and Prosite documentation records in HTML format. To create a web page showing one Prosite record, you can use

    >>> from Bio import ExPASy
    >>> handle = ExPASy.get_prosite_entry('PS00001')
    >>> html = handle.read()
    >>> output = open("myprositerecord.html", "w")
    >>> output.write(html)
    >>> output.close()

and similarly for a Prosite documentation record:

    >>> from Bio import ExPASy
    >>> handle = ExPASy.get_prodoc_entry('PDOC00001')
    >>> html = handle.read()
    >>> output = open("myprodocrecord.html", "w")
    >>> output.write(html)
    >>> output.close()

For these functions, an invalid accession number returns an error message in HTML format.

## 10.6 Scanning the Prosite database

ScanProsite allows you to scan protein sequences online against the Prosite database by providing a UniProt or PDB sequence identifier or the sequence itself. For more information about ScanProsite, please see the ScanProsite documentation as well as the documentation for programmatic access of ScanProsite.

You can use Biopython’s `Bio.ExPASy.ScanProsite` module to scan the Prosite database from Python. This module both helps you to access ScanProsite programmatically, and to parse the results returned by ScanProsite. To scan for Prosite patterns in the following protein sequence:

    MEHKEVVLLLLLFLKSGQGEPLDDYVNTQGASLFSVTKKQLGAGSIEECAAKCEEDEEFT
    CRAFQYHSKEQQCVIMAENRKSSIIIRMRDVVLFEKKVYLSECKTGNGKNYRGTMSKTKN

you can use the following code:

    >>> sequence = "MEHKEVVLLLLLFLKSGQGEPLDDYVNTQGASLFSVTKKQLGAGSIEECAAKCEEDEEFT
    CRAFQYHSKEQQCVIMAENRKSSIIIRMRDVVLFEKKVYLSECKTGNGKNYRGTMSKTKN"
    >>> from Bio.ExPASy import ScanProsite
    >>> handle = ScanProsite.scan(seq=sequence)

By executing `handle.read()`, you can obtain the search results in raw XML format. Instead, let’s use `Bio.ExPASy.ScanProsite.read` to parse the raw XML into a Python object:

    >>> result = ScanProsite.read(handle)
    >>> type(result)
    <class 'Bio.ExPASy.ScanProsite.Record'>

A `Bio.ExPASy.ScanProsite.Record` object is derived from a list, with each element in the list storing one ScanProsite hit. This object also stores the number of hits, as well as the number of search sequences, as returned by ScanProsite. This ScanProsite search resulted in six hits:

    >>> result.n_seq
    1
    >>> result.n_match
    6
    >>> len(result)
    6
    >>> result[0]
    {'signature_ac': u'PS50948', 'level': u'0', 'stop': 98, 'sequence_ac': u'USERSEQ1', 'start': 16, 'score': u'8.873'}
    >>> result[1]
    {'start': 37, 'stop': 39, 'sequence_ac': u'USERSEQ1', 'signature_ac': u'PS00005'}
    >>> result[2]
    {'start': 45, 'stop': 48, 'sequence_ac': u'USERSEQ1', 'signature_ac': u'PS00006'}
    >>> result[3]
    {'start': 60, 'stop': 62, 'sequence_ac': u'USERSEQ1', 'signature_ac': u'PS00005'}
    >>> result[4]
    {'start': 80, 'stop': 83, 'sequence_ac': u'USERSEQ1', 'signature_ac': u'PS00004'}
    >>> result[5]
    {'start': 106, 'stop': 111, 'sequence_ac': u'USERSEQ1', 'signature_ac': u'PS00008'}

Other ScanProsite parameters can be passed as keyword arguments; see the documentation for programmatic access of ScanProsite for more information. As an example, passing `lowscore=1` to include matches with low level scores lets use find one additional hit:

    >>> handle = ScanProsite.scan(seq=sequence, lowscore=1)
    >>> result = ScanProsite.read(handle)
    >>> result.n_match
    7

# Chapter 11 Bio.PopGen: Population genetics

Bio.PopGen is a Biopython module supporting population genetics, available in Biopython 1.44 onwards.

The medium term objective for the module is to support widely used data formats, applications and databases. This module is currently under intense development and support for new features should appear at a rather fast pace. Unfortunately this might also entail some instability on the API, especially if you are using a development version. APIs that are made available on our official public releases should be much more stable.

## 11.1 GenePop

GenePop (`http://genepop.curtin.edu.au/`) is a popular population genetics software package supporting Hardy-Weinberg tests, linkage desiquilibrium, population diferentiation, basic statistics, Fst and migration estimates, among others. GenePop does not supply sequence based statistics as it doesn’t handle sequence data. The GenePop file format is supported by a wide range of other population genetic software applications, thus making it a relevant format in the population genetics field.

Bio.PopGen provides a parser and generator of GenePop file format. Utilities to manipulate the content of a record are also provided. Here is an example on how to read a GenePop file (you can find example GenePop data files in the Test/PopGen directory of Biopython):

    from Bio.PopGen import GenePop

    handle = open("example.gen")
    rec = GenePop.read(handle)
    handle.close()

This will read a file called example.gen and parse it. If you do print rec, the record will be output again, in GenePop format.

The most important information in rec will be the loci names and population information (but there is more – use help(GenePop.Record) to check the API documentation). Loci names can be found on rec.loci_list. Population information can be found on rec.populations. Populations is a list with one element per population. Each element is itself a list of individuals, each individual is a pair composed by individual name and a list of alleles (2 per marker), here is an example for rec.populations:

    [
        [
            ('Ind1', [(1, 2),    (3, 3), (200, 201)],
            ('Ind2', [(2, None), (3, 3), (None, None)],
        ],
        [
            ('Other1', [(1, 1),  (4, 3), (200, 200)],
        ]
    ]

So we have two populations, the first with two individuals, the second with only one. The first individual of the first population is called Ind1, allelic information for each of the 3 loci follows. Please note that for any locus, information might be missing (see as an example, Ind2 above).

A few utility functions to manipulate GenePop records are made available, here is an example:

    from Bio.PopGen import GenePop

    #Imagine that you have loaded rec, as per the code snippet above...

    rec.remove_population(pos)
    #Removes a population from a record, pos is the population position in
    #  rec.populations, remember that it starts on position 0.
    #  rec is altered.

    rec.remove_locus_by_position(pos)
    #Removes a locus by its position, pos is the locus position in
    #  rec.loci_list, remember that it starts on position 0.
    #  rec is altered.

    rec.remove_locus_by_name(name)
    #Removes a locus by its name, name is the locus name as in
    #  rec.loci_list. If the name doesn't exist the function fails
    #  silently.
    #  rec is altered.

    rec_loci = rec.split_in_loci()
    #Splits a record in loci, that is, for each loci, it creates a new
    #  record, with a single loci and all populations.
    #  The result is returned in a dictionary, being each key the locus name.
    #  The value is the GenePop record.
    #  rec is not altered.

    rec_pops =  rec.split_in_pops(pop_names)
    #Splits a record in populations, that is, for each population, it creates
    #  a new record, with a single population and all loci.
    #  The result is returned in a dictionary, being each key
    #  the population name. As population names are not available in GenePop,
    #  they are passed in array (pop_names).
    #  The value of each dictionary entry is the GenePop record.
    #  rec is not altered.

GenePop does not support population names, a limitation which can be cumbersome at times. Functionality to enable population names is currently being planned for Biopython. These extensions won’t break compatibility in any way with the standard format. In the medium term, we would also like to support the GenePop web service.

## 11.2 Coalescent simulation

A coalescent simulation is a backward model of population genetics with relation to time. A simulation of ancestry is done until the Most Recent Common Ancestor (MRCA) is found. This ancestry relationship starting on the MRCA and ending on the current generation sample is sometimes called a genealogy. Simple cases assume a population of constant size in time, haploidy, no population structure, and simulate the alleles of a single locus under no selection pressure.

Coalescent theory is used in many fields like selection detection, estimation of demographic parameters of real populations or disease gene mapping.

The strategy followed in the Biopython implementation of the coalescent was not to create a new, built-in, simulator from scratch but to use an existing one, Fastsimcoal2 (`http://cmpg.unibe.ch/software/fastsimcoal2/`). Fastsimcoal2 allows for, among others, population structure, multiple demographic events, simulation of multiple types of loci (SNPs, sequences, STRs/microsatellites and RFLPs) with recombination, diploidy multiple chromosomes or ascertainment bias. Notably Fastsimcoal2 doesn’t support any selection model. We recommend reading Fastsimcoal2’s documentation, available in the link above.

The input for Fastsimcoal2 is a file specifying the desired demography and genome, the output is a set of files (typically around 1000) with the simulated genomes of a sample of individuals per subpopulation. This set of files can be used in many ways, like to compute confidence intervals where which certain statistics (e.g., Fst or Tajima D) are expected to lie. Real population genetics datasets statistics can then be compared to those confidence intervals.

Biopython coalescent code allows to create demographic scenarios and genomes and to run Fastsimcoal2.

### 11.2.1 Creating scenarios

Creating a scenario involves both creating a demography and a chromosome structure. In many cases (e.g. when doing Approximate Bayesian Computations – ABC) it is important to test many parameter variations (e.g. vary the effective population size, Ne, between 10, 50, 500 and 1000 individuals). The code provided allows for the simulation of scenarios with different demographic parameters very easily.

Below we see how we can create scenarios and then how simulate them.

#### 11.2.1.1 Demography

A few predefined demographies are built-in, all have two shared parameters: sample size (called sample_size on the template, see below for its use) per deme and deme size, i.e. subpopulation size (pop_size). All demographies are available as templates where all parameters can be varied, each template has a system name. The prefedined demographies/templates are:

Single population, constant size
  The standard parameters are enough to specify it. Template name: simple.
Single population, bottleneck
  As seen on figure 11.2.1.1. The parameters are current population size (pop_size on template ne3 on figure), time of expansion, given as the generation in the past when it occurred (expand_gen), effective population size during bottleneck (ne2), time of contraction (contract_gen) and original size in the remote past (ne3). Template name: bottle.
Island model
  The typical island model. The total number of demes is specified by total_demes and the migration rate by mig. Template name island.
Stepping stone model - 1 dimension
  The stepping stone model in 1 dimension, extremes disconnected. The total number of demes is total_demes, migration rate is mig. Template name is ssm_1d.
Stepping stone model - 2 dimensions
  The stepping stone model in 2 dimensions, extremes disconnected. The parameters are x for the horizontal dimension and y for the vertical (being the total number of demes x times y), migration rate is mig. Template name is ssm_2d.

In our first example, we will generate a template for a single population, constant size model with a sample size of 30 and a deme size of 500. The code for this is:

    from Bio.PopGen.SimCoal.Template import generate_simcoal_from_template

    generate_simcoal_from_template('simple',
        [(1, [('SNP', [24, 0.0005, 0.0])])],
        [('sample_size', [30]),
        ('pop_size', [100])])

Executing this code snippet will generate a file on the current directory called simple_100_300.par this file can be given as input to Fastsimcoal2 to simulate the demography (below we will see how Biopython can take care of calling Fastsimcoal2).

This code consists of a single function call, let’s discuss it parameter by parameter.

The first parameter is the template id (from the list above). We are using the id ’simple’ which is the template for a single population of constant size along time.

The second parameter is the chromosome structure. Please ignore it for now, it will be explained in the next section.

The third parameter is a list of all required parameters (recall that the simple model only needs sample_size and pop_size) and possible values (in this case each parameter only has a possible value).

Now, let’s consider an example where we want to generate several island models, and we are interested in varying the number of demes: 10, 50 and 100 with a migration rate of 1%. Sample size and deme size will be the same as before. Here is the code:

    from Bio.PopGen.SimCoal.Template import generate_simcoal_from_template

    generate_simcoal_from_template('island',
        [(1, [('SNP', [24, 0.0005, 0.0])])],
        [('sample_size', [30]),
        ('pop_size', [100]),
        ('mig', [0.01]),
        ('total_demes', [10, 50, 100])])

In this case, 3 files will be generated: island_100_0.01_100_30.par, island_10_0.01_100_30.par and island_50_0.01_100_30.par. Notice the rule to make file names: template name, followed by parameter values in reverse order.

A few, arguably more esoteric template demographies exist (please check the Bio/PopGen/SimCoal/data directory on Biopython source tree). Furthermore it is possible for the user to create new templates. That functionality will be discussed in a future version of this document.

#### 11.2.1.2 Chromosome structure

We strongly recommend reading Fastsimcoal2 documentation to understand the full potential available in modeling chromosome structures. In this subsection we only discuss how to implement chromosome structures using the Biopython interface, not the underlying Fastsimcoal2 capabilities.

We will start by implementing a single chromosome, with 24 SNPs with a recombination rate immediately on the right of each locus of 0.0005 and a minimum frequency of the minor allele of 0. This will be specified by the following list (to be passed as second parameter to the function generate_simcoal_from_template):

    [(1, [('SNP', [24, 0.0005, 0.0])])]

This is actually the chromosome structure used in the above examples.

The chromosome structure is represented by a list of chromosomes, each chromosome (i.e., each element in the list) is composed by a tuple (a pair): the first element is the number of times the chromosome is to be repeated (as there might be interest in repeating the same chromosome many times). The second element is a list of the actual components of the chromosome. Each element is again a pair, the first member is the locus type and the second element the parameters for that locus type. Confused? Before showing more examples let’s review the example above: We have a list with one element (thus one chromosome), the chromosome is a single instance (therefore not to be repeated), it is composed of 24 SNPs, with a recombination rate of 0.0005 between each consecutive SNP, the minimum frequency of the minor allele is 0.0 (i.e, it can be absent from a certain population).

Let’s see a more complicated example:

    [
      (5, [
           ('SNP', [24, 0.0005, 0.0])
          ]
      ),
      (2, [
           ('DNA', [10, 0.0, 0.00005, 0.33]),
           ('RFLP', [1, 0.0, 0.0001]),
           ('MICROSAT', [1, 0.0, 0.001, 0.0, 0.0])
          ]
      )
    ]

We start by having 5 chromosomes with the same structure as above (i.e., 24 SNPs). We then have 2 chromosomes which have a DNA sequence with 10 nucleotides, 0.0 recombination rate, 0.0005 mutation rate, and a transition rate of 0.33. Then we have an RFLP with 0.0 recombination rate to the next locus and a 0.0001 mutation rate. Finally we have a microsatellite (or STR), with 0.0 recombination rate to the next locus (note, that as this is a single microsatellite which has no loci following, this recombination rate here is irrelevant), with a mutation rate of 0.001, geometric parameter of 0.0 and a range constraint of 0.0 (for information about this parameters please consult the Fastsimcoal2 documentation, you can use them to simulate various mutation models, including the typical – for microsatellites – stepwise mutation model among others).

### 11.2.2 Running Fastsimcoal2

We now discuss how to run Fastsimcoal2 from inside Biopython. It is required that the binary for Fastsimcoal2 is called fastsimcoal21 (or fastsimcoal21.exe on Windows based platforms), please note that the typical name when downloading the program is in the format fastsimcoal2_x_y. As such, when installing Fastsimcoal2 you will need to rename of the downloaded executable so that Biopython can find it.

It is possible to run Fastsimcoal2 on files that were not generated using the method above (e.g., writing a parameter file by hand), but we will show an example by creating a model using the framework presented above.

    from Bio.PopGen.SimCoal.Template import generate_simcoal_from_template
    from Bio.PopGen.SimCoal.Controller import FastSimCoalController

    generate_simcoal_from_template('simple',
        [
          (5, [
               ('SNP', [24, 0.0005, 0.0])
              ]
          ),
          (2, [
               ('DNA', [10, 0.0, 0.00005, 0.33]),
               ('RFLP', [1, 0.0, 0.0001]),
               ('MICROSAT', [1, 0.0, 0.001, 0.0, 0.0])
              ]
          )
        ],
        [('sample_size', [30]),
        ('pop_size', [100])])

    ctrl = FastSimCoalController()
    ctrl.run_fastsimcoal('simple_100_30.par', 50)

The lines of interest are the last two (plus the new import). Firstly a controller for the application is created. The directory where the binary is located has to be specified.

The simulator is then run on the last line: we know, from the rules explained above, that the input file name is simple_100_30.par for the simulation parameter file created. We then specify that we want to run 50 independent simulations, by default Biopython requests a simulation of diploid data, but a third parameter can be added to simulate haploid data (adding as a parameter the string ’0’). Fastsimcoal2 will now run (please note that this can take quite a lot of time) and will create a directory with the simulation results. The results can now be analysed (typically studying the data with Arlequin3). In the future Biopython might support reading the Arlequin3 format and thus allowing for the analysis of Fastsimcoal2 data inside Biopython.

## 11.3 Other applications

Here we discuss interfaces and utilities to deal with population genetics’ applications which arguably have a smaller user base.

### 11.3.1 FDist: Detecting selection and molecular adaptation

FDist is a selection detection application suite based on computing (i.e. simulating) a “neutral” confidence interval based on Fst and heterozygosity. Markers (which can be SNPs, microsatellites, AFLPs among others) which lie outside the “neutral” interval are to be considered as possible candidates for being under selection.

FDist is mainly used when the number of markers is considered enough to estimate an average Fst, but not enough to either have outliers calculated from the dataset directly or, with even more markers for which the relative positions in the genome are known, to use approaches based on, e.g., Extended Haplotype Heterozygosity (EHH).

The typical usage pattern for FDist is as follows:

1. Import a dataset from an external format into FDist format.
2. Compute average Fst. This is done by datacal inside FDist.
3. Simulate “neutral” markers based on the average Fst and expected number of total populations. This is the core operation, done by fdist inside FDist.
4. Calculate the confidence interval, based on the desired confidence boundaries (typically 95% or 99%). This is done by cplot and is mainly used to plot the interval.
5. Assess each marker status against the simulation “neutral” confidence interval. Done by pv. This is used to detect the outlier status of each marker against the simulation.

We will now discuss each step with illustrating example code (for this example to work FDist binaries have to be on the executable PATH).

The FDist data format is application specific and is not used at all by other applications, as such you will probably have to convert your data for use with FDist. Biopython can help you do this. Here is an example converting from GenePop format to FDist format (along with imports that will be needed on examples further below):

    from Bio.PopGen import GenePop
    from Bio.PopGen import FDist
    from Bio.PopGen.FDist import Controller
    from Bio.PopGen.FDist.Utils import convert_genepop_to_fdist

    gp_rec = GenePop.read(open("example.gen"))
    fd_rec = convert_genepop_to_fdist(gp_rec)
    in_file = open("infile", "w")
    in_file.write(str(fd_rec))
    in_file.close()

In this code we simply parse a GenePop file and convert it to a FDist record.

Printing an FDist record will generate a string that can be directly saved to a file and supplied to FDist. FDist requires the input file to be called infile, therefore we save the record on a file with that name.

The most important fields on a FDist record are: num_pops, the number of populations; num_loci, the number of loci and loci_data with the marker data itself. Most probably the details of the record are of no interest to the user, as the record only purpose is to be passed to FDist.

The next step is to calculate the average Fst of the dataset (along with the sample size):

    ctrl = Controller.FDistController()
    fst, samp_size = ctrl.run_datacal()

On the first line we create an object to control the call of FDist suite, this object will be used further on in order to call other suite applications.

On the second line we call the datacal application which computes the average Fst and the sample size. It is worth noting that the Fst computed by datacal is a variation of Weir and Cockerham’s θ.

We can now call the main fdist application in order to simulate neutral markers.

    sim_fst = ctrl.run_fdist(npops = 15, nsamples = fd_rec.num_pops, fst = fst,
        sample_size = samp_size, mut = 0, num_sims = 40000)

npops
  Number of populations existing in nature. This is really a “guestimate”. Has to be lower than 100.
nsamples
  Number of populations sampled, has to be lower than npops.
fst
  Average Fst.
sample_size
  Average number of individuals sampled on each population.
mut
  Mutation model: 0 - Infinite alleles; 1 - Stepwise mutations
num_sims
  Number of simulations to perform. Typically a number around 40000 will be OK, but if you get a confidence interval that looks sharp (this can be detected when plotting the confidence interval computed below) the value can be increased (a suggestion would be steps of 10000 simulations).

The confusion in wording between number of samples and sample size stems from the original application.

A file named out.dat will be created with the simulated heterozygosities and Fsts, it will have as many lines as the number of simulations requested.

Note that fdist returns the average Fst that it was capable of simulating, for more details about this issue please read below the paragraph on approximating the desired average Fst.

The next (optional) step is to calculate the confidence interval:

    cpl_interval = ctrl.run_cplot(ci=0.99)

You can only call cplot after having run fdist.

This will calculate the confidence intervals (99% in this case) for a previous fdist run. A list of quadruples is returned. The first element represents the heterozygosity, the second the lower bound of Fst confidence interval for that heterozygosity, the third the average and the fourth the upper bound. This can be used to trace the confidence interval contour. This list is also written to a file, out.cpl.

The main purpose of this step is return a set of points which can be easily used to plot a confidence interval. It can be skipped if the objective is only to assess the status of each marker against the simulation, which is the next step...

    pv_data = ctrl.run_pv()

You can only call cplot after having run datacal and fdist.

This will use the simulated markers to assess the status of each individual real marker. A list, in the same order than the loci_list that is on the FDist record (which is in the same order that the GenePop record) is returned. Each element in the list is a quadruple, the fundamental member of each quadruple is the last element (regarding the other elements, please refer to the pv documentation – for the sake of simplicity we will not discuss them here) which returns the probability of the simulated Fst being lower than the marker Fst. Higher values would indicate a stronger candidate for positive selection, lower values a candidate for balancing selection, and intermediate values a possible neutral marker. What is “higher”, “lower” or “intermediate” is really a subjective issue, but taking a “confidence interval” approach and considering a 95% confidence interval, “higher” would be between 0.95 and 1.0, “lower” between 0.0 and 0.05 and “intermediate” between 0.05 and 0.95.

#### 11.3.1.1 Approximating the desired average Fst

Fdist tries to approximate the desired average Fst by doing a coalescent simulation using migration rates based on the formula

Nm = |
1 − Fst
4Fst

This formula assumes a few premises like an infinite number of populations.

In practice, when the number of populations is low, the mutation model is stepwise and the sample size increases, fdist will not be able to simulate an acceptable approximate average Fst.

To address that, a function is provided to iteratively approach the desired value by running several fdists in sequence. This approach is computationally more intensive than running a single fdist run, but yields good results. The following code runs fdist approximating the desired Fst:

    sim_fst = ctrl.run_fdist_force_fst(npops = 15, nsamples = fd_rec.num_pops,
        fst = fst, sample_size = samp_size, mut = 0, num_sims = 40000,
        limit = 0.05)

The only new optional parameter, when comparing with run_fdist, is limit which is the desired maximum error. run_fdist can (and probably should) be safely replaced with run_fdist_force_fst.

#### 11.3.1.2 Final notes

The process to determine the average Fst can be more sophisticated than the one presented here. For more information we refer you to the FDist README file. Biopython’s code can be used to implement more sophisticated approaches.

## 11.4 Future Developments

The most desired future developments would be the ones you add yourself ;) .

That being said, already existing fully functional code is currently being incorporated in Bio.PopGen, that code covers the applications FDist and SimCoal2, the HapMap and UCSC Table Browser databases and some simple statistics like Fst, or allele counts.

# Chapter 12 Phylogenetics with Bio.Phylo

The Bio.Phylo module was introduced in Biopython 1.54. Following the lead of SeqIO and AlignIO, it aims to provide a common way to work with phylogenetic trees independently of the source data format, as well as a consistent API for I/O operations.

Bio.Phylo is described in an open-access journal article [9, Talevich et al., 2012], which you might also find helpful.

## 12.1 Demo: What’s in a Tree?

To get acquainted with the module, let’s start with a tree that we’ve already constructed, and inspect it a few different ways. Then we’ll colorize the branches, to use a special phyloXML feature, and finally save it.

Create a simple Newick file named `simple.dnd` using your favorite text editor, or use `simple.dnd` provided with the Biopython source code:

    (((A,B),(C,D)),(E,F,G));

This tree has no branch lengths, only a topology and labelled terminals. (If you have a real tree file available, you can follow this demo using that instead.)

Launch the Python interpreter of your choice:

    % ipython -pylab

For interactive work, launching the IPython interpreter with the `-pylab` flag enables matplotlib integration, so graphics will pop up automatically. We’ll use that during this demo.

Now, within Python, read the tree file, giving the file name and the name of the format.

    >>> from Bio import Phylo
    >>> tree = Phylo.read("simple.dnd", "newick")

Printing the tree object as a string gives us a look at the entire object hierarchy.

    >>> print(tree)
    Tree(rooted=False, weight=1.0)
        Clade()
            Clade()
                Clade()
                    Clade(name='A')
                    Clade(name='B')
                Clade()
                    Clade(name='C')
                    Clade(name='D')
            Clade()
                Clade(name='E')
                Clade(name='F')
                Clade(name='G')

The `Tree` object contains global information about the tree, such as whether it’s rooted or unrooted. It has one root clade, and under that, it’s nested lists of clades all the way down to the tips.

The function `draw_ascii` creates a simple ASCII-art (plain text) dendrogram. This is a convenient visualization for interactive exploration, in case better graphical tools aren’t available.

    >>> from Bio import Phylo
    >>> tree = Phylo.read("simple.dnd", "newick")
    >>> Phylo.draw_ascii(tree)
                                                        ________________________ A
                               ________________________|
                              |                        |________________________ B
      ________________________|
     |                        |                         ________________________ C
     |                        |________________________|
    _|                                                 |________________________ D
     |
     |                         ________________________ E
     |                        |
     |________________________|________________________ F
                              |
                              |________________________ G
    <BLANKLINE>

If you have matplotlib or pylab installed, you can create a graphic using the `draw` function (see Fig. 12.1):

    >>> tree.rooted = True
    >>> Phylo.draw(tree)

### 12.1.1 Coloring branches within a tree

The functions `draw` and `draw_graphviz` support the display of different colors and branch widths in a tree. As of Biopython 1.59, the `color` and `width` attributes are available on the basic Clade object and there’s nothing extra required to use them. Both attributes refer to the branch leading the given clade, and apply recursively, so all descendent branches will also inherit the assigned width and color values during display.

In earlier versions of Biopython, these were special features of PhyloXML trees, and using the attributes required first converting the tree to a subclass of the basic tree object called Phylogeny, from the Bio.Phylo.PhyloXML module.

In Biopython 1.55 and later, this is a convenient tree method:

    >>> tree = tree.as_phyloxml()

In Biopython 1.54, you can accomplish the same thing with one extra import:

    >>> from Bio.Phylo.PhyloXML import Phylogeny
    >>> tree = Phylogeny.from_tree(tree)

Note that the file formats Newick and Nexus don’t support branch colors or widths, so if you use these attributes in Bio.Phylo, you will only be able to save the values in PhyloXML format. (You can still save a tree as Newick or Nexus, but the color and width values will be skipped in the output file.)

Now we can begin assigning colors. First, we’ll color the root clade gray. We can do that by assigning the 24-bit color value as an RGB triple, an HTML-style hex string, or the name of one of the predefined colors.

    >>> tree.root.color = (128, 128, 128)

Or:

    >>> tree.root.color = "#808080"

Or:

    >>> tree.root.color = "gray"

Colors for a clade are treated as cascading down through the entire clade, so when we colorize the root here, it turns the whole tree gray. We can override that by assigning a different color lower down on the tree.

Let’s target the most recent common ancestor (MRCA) of the nodes named “E” and “F”. The `common_ancestor` method returns a reference to that clade in the original tree, so when we color that clade “salmon”, the color will show up in the original tree.

    >>> mrca = tree.common_ancestor({"name": "E"}, {"name": "F"})
    >>> mrca.color = "salmon"

If we happened to know exactly where a certain clade is in the tree, in terms of nested list entries, we can jump directly to that position in the tree by indexing it. Here, the index `[0,1]` refers to the second child of the first child of the root.

    >>> tree.clade[0, 1].color = "blue"

Finally, show our work (see Fig. 12.1.1):

    >>> Phylo.draw(tree)

Note that a clade’s color includes the branch leading to that clade, as well as its descendents. The common ancestor of E and F turns out to be just under the root, and with this coloring we can see exactly where the root of the tree is.

My, we’ve accomplished a lot! Let’s take a break here and save our work. Call the `write` function with a file name or handle — here we use standard output, to see what would be written — and the format `phyloxml`. PhyloXML saves the colors we assigned, so you can open this phyloXML file in another tree viewer like Archaeopteryx, and the colors will show up there, too.

    >>> import sys
    >>> Phylo.write(tree, sys.stdout, "phyloxml")

    <phy:phyloxml xmlns:phy="http://www.phyloxml.org">
      <phy:phylogeny rooted="true">
        <phy:clade>
          <phy:branch_length>1.0</phy:branch_length>
          <phy:color>
            <phy:red>128</phy:red>
            <phy:green>128</phy:green>
            <phy:blue>128</phy:blue>
          </phy:color>
          <phy:clade>
            <phy:branch_length>1.0</phy:branch_length>
            <phy:clade>
              <phy:branch_length>1.0</phy:branch_length>
              <phy:clade>
                <phy:name>A</phy:name>
                ...

The rest of this chapter covers the core functionality of Bio.Phylo in greater detail. For more examples of using Bio.Phylo, see the cookbook page on Biopython.org:

`http://biopython.org/wiki/Phylo_cookbook`

## 12.2 I/O functions

Like SeqIO and AlignIO, Phylo handles file input and output through four functions: `parse`, `read`, `write` and `convert`, all of which support the tree file formats Newick, NEXUS, phyloXML and NeXML, as well as the Comparative Data Analysis Ontology (CDAO).

The `read` function parses a single tree in the given file and returns it. Careful; it will raise an error if the file contains more than one tree, or no trees.

    >>> from Bio import Phylo
    >>> tree = Phylo.read("Tests/Nexus/int_node_labels.nwk", "newick")
    >>> print(tree)

(Example files are available in the `Tests/Nexus/` and `Tests/PhyloXML/` directories of the Biopython distribution.)

To handle multiple (or an unknown number of) trees, use the `parse` function iterates through each of the trees in the given file:

    >>> trees = Phylo.parse("../../Tests/PhyloXML/phyloxml_examples.xml", "phyloxml")
    >>> for tree in trees:
    ...     print(tree)

Write a tree or iterable of trees back to file with the `write` function:

    >>> trees = list(Phylo.parse("../../Tests/PhyloXML/phyloxml_examples.xml", "phyloxml"))
    >>> tree1 = trees[0]
    >>> others = trees[1:]
    >>> Phylo.write(tree1, "tree1.nwk", "newick")
    1
    >>> Phylo.write(others, "other_trees.nwk", "newick")
    12

Convert files between any of the supported formats with the `convert` function:

    >>> Phylo.convert("tree1.nwk", "newick", "tree1.xml", "nexml")
    1
    >>> Phylo.convert("other_trees.xml", "phyloxml", "other_trees.nex", "nexus")
    12

To use strings as input or output instead of actual files, use `StringIO` as you would with SeqIO and AlignIO:

    >>> from Bio import Phylo
    >>> from StringIO import StringIO
    >>> handle = StringIO("(((A,B),(C,D)),(E,F,G));")
    >>> tree = Phylo.read(handle, "newick")

## 12.3 View and export trees

The simplest way to get an overview of a `Tree` object is to `print` it:

    >>> from Bio import Phylo
    >>> tree = Phylo.read("PhyloXML/example.xml", "phyloxml")
    >>> print(tree)
    Phylogeny(description='phyloXML allows to use either a "branch_length" attribute...', name='example from Prof. Joe Felsenstein's book "Inferring Phyl...', rooted=True)
        Clade()
            Clade(branch_length=0.06)
                Clade(branch_length=0.102, name='A')
                Clade(branch_length=0.23, name='B')
            Clade(branch_length=0.4, name='C')

This is essentially an outline of the object hierarchy Biopython uses to represent a tree. But more likely, you’d want to see a drawing of the tree. There are three functions to do this.

As we saw in the demo, `draw_ascii` prints an ascii-art drawing of the tree (a rooted phylogram) to standard output, or an open file handle if given. Not all of the available information about the tree is shown, but it provides a way to quickly view the tree without relying on any external dependencies.

    >>> tree = Phylo.read("example.xml", "phyloxml")
    >>> Phylo.draw_ascii(tree)
                 __________________ A
      __________|
    _|          |___________________________________________ B
     |
     |___________________________________________________________________________ C

The `draw` function draws a more attractive image using the matplotlib library. See the API documentation for details on the arguments it accepts to customize the output.

    >>> tree = Phylo.read("example.xml", "phyloxml")
    >>> Phylo.draw(tree, branch_labels=lambda c: c.branch_length)

`draw_graphviz` draws an unrooted cladogram, but requires that you have Graphviz, PyDot or PyGraphviz, NetworkX, and matplotlib (or pylab) installed. Using the same example as above, and the `dot` program included with Graphviz, let’s draw a rooted tree (see Fig. 12.3):

    >>> tree = Phylo.read("example.xml", "phyloxml")
    >>> Phylo.draw_graphviz(tree, prog='dot')
    >>> import pylab
    >>> pylab.show()                    # Displays the tree in an interactive viewer
    >>> pylab.savefig('phylo-dot.png')  # Creates a PNG file of the same graphic

(Tip: If you execute IPython with the `-pylab` option, calling `draw_graphviz` causes the matplotlib viewer to launch automatically without manually calling `show()`.)

This exports the tree object to a NetworkX graph, uses Graphviz to lay out the nodes, and displays it using matplotlib. There are a number of keyword arguments that can modify the resulting diagram, including most of those accepted by the NetworkX functions `networkx.draw` and `networkx.draw_graphviz`.

The display is also affected by the `rooted` attribute of the given tree object. Rooted trees are shown with a “head” on each branch indicating direction (see Fig. 12.3):

    >>> tree = Phylo.read("simple.dnd", "newick")
    >>> tree.rooted = True
    >>> Phylo.draw_graphviz(tree)

The “prog” argument specifies the Graphviz engine used for layout. The default, `twopi`, behaves well for any size tree, reliably avoiding crossed branches. The `neato` program may draw more attractive moderately-sized trees, but sometimes will cross branches (see Fig. 12.3). The `dot` program may be useful with small trees, but tends to do surprising things with the layout of larger trees.

    >>> Phylo.draw_graphviz(tree, prog="neato")

This viewing mode is particularly handy for exploring larger trees, because the matplotlib viewer can zoom in on a selected region, thinning out a cluttered graphic.

    >>> tree = Phylo.read("apaf.xml", "phyloxml")
    >>> Phylo.draw_graphviz(tree, prog="neato", node_size=0)

Note that branch lengths are not displayed accurately, because Graphviz ignores them when creating the node layouts. The branch lengths are retained when exporting a tree as a NetworkX graph object (`to_networkx`), however.

See the Phylo page on the Biopython wiki (`http://biopython.org/wiki/Phylo`) for descriptions and examples of the more advanced functionality in `draw_ascii`, `draw_graphviz` and `to_networkx`.

## 12.4 Using Tree and Clade objects

The `Tree` objects produced by `parse` and `read` are containers for recursive sub-trees, attached to the `Tree` object at the `root` attribute (whether or not the phylogenic tree is actually considered rooted). A `Tree` has globally applied information for the phylogeny, such as rootedness, and a reference to a single `Clade`; a `Clade` has node- and clade-specific information, such as branch length, and a list of its own descendent `Clade` instances, attached at the `clades` attribute.

So there is a distinction between `tree` and `tree.root`. In practice, though, you rarely need to worry about it. To smooth over the difference, both `Tree` and `Clade` inherit from `TreeMixin`, which contains the implementations for methods that would be commonly used to search, inspect or modify a tree or any of its clades. This means that almost all of the methods supported by `tree` are also available on `tree.root` and any clade below it. (`Clade` also has a `root` property, which returns the clade object itself.)

### 12.4.1 Search and traversal methods

For convenience, we provide a couple of simplified methods that return all external or internal nodes directly as a list:

`get_terminals`
  makes a list of all of this tree’s terminal (leaf) nodes.
`get_nonterminals`
  makes a list of all of this tree’s nonterminal (internal) nodes.

These both wrap a method with full control over tree traversal, `find_clades`. Two more traversal methods, `find_elements` and `find_any`, rely on the same core functionality and accept the same arguments, which we’ll call a “target specification” for lack of a better description. These specify which objects in the tree will be matched and returned during iteration. The first argument can be any of the following types:

- A TreeElement instance, which tree elements will match by identity — so searching with a Clade instance as the target will find that clade in the tree;
- A string, which matches tree elements’ string representation — in particular, a clade’s `name` (added in Biopython 1.56);
- A class or type, where every tree element of the same type (or sub-type) will be matched;
- A dictionary where keys are tree element attributes and values are matched to the corresponding attribute of each tree element. This one gets even more elaborate:
  - If an `int` is given, it matches numerically equal attributes, e.g. 1 will match 1 or 1.0
  - If a boolean is given (True or False), the corresponding attribute value is evaluated as a boolean and checked for the same
  - `None` matches `None`
  - If a string is given, the value is treated as a regular expression (which must match the whole string in the corresponding element attribute, not just a prefix). A given string without special regex characters will match string attributes exactly, so if you don’t use regexes, don’t worry about it. For example, in a tree with clade names Foo1, Foo2 and Foo3, `tree.find_clades({"name": "Foo1"})` matches Foo1, `{"name": "Foo.*"}` matches all three clades, and `{"name": "Foo"}` doesn’t match anything.

  Since floating-point arithmetic can produce some strange behavior, we don’t support matching `float`s directly. Instead, use the boolean `True` to match every element with a nonzero value in the specified attribute, then filter on that attribute manually with an inequality (or exact number, if you like living dangerously).

  If the dictionary contains multiple entries, a matching element must match each of the given attribute values — think “and”, not “or”.

- A function taking a single argument (it will be applied to each element in the tree), returning True or False. For convenience, LookupError, AttributeError and ValueError are silenced, so this provides another safe way to search for floating-point values in the tree, or some more complex characteristic.

After the target, there are two optional keyword arguments:

terminal
  — A boolean value to select for or against terminal clades (a.k.a. leaf nodes): True searches for only terminal clades, False for non-terminal (internal) clades, and the default, None, searches both terminal and non-terminal clades, as well as any tree elements lacking the `is_terminal` method.
order
  — Tree traversal order: `"preorder"` (default) is depth-first search, `"postorder"` is DFS with child nodes preceding parents, and `"level"` is breadth-first search.

Finally, the methods accept arbitrary keyword arguments which are treated the same way as a dictionary target specification: keys indicate the name of the element attribute to search for, and the argument value (string, integer, None or boolean) is compared to the value of each attribute found. If no keyword arguments are given, then any TreeElement types are matched. The code for this is generally shorter than passing a dictionary as the target specification: `tree.find_clades({"name": "Foo1"})` can be shortened to `tree.find_clades(name="Foo1")`.

(In Biopython 1.56 or later, this can be even shorter: `tree.find_clades("Foo1")`)

Now that we’ve mastered target specifications, here are the methods used to traverse a tree:

`find_clades`
  Find each clade containing a matching element. That is, find each element as with `find_elements`, but return the corresponding clade object. (This is usually what you want.)

  The result is an iterable through all matching objects, searching depth-first by default. This is not necessarily the same order as the elements appear in the Newick, Nexus or XML source file!

`find_elements`
  Find all tree elements matching the given attributes, and return the matching elements themselves. Simple Newick trees don’t have complex sub-elements, so this behaves the same as `find_clades` on them. PhyloXML trees often do have complex objects attached to clades, so this method is useful for extracting those.
`find_any`
  Return the first element found by `find_elements()`, or None. This is also useful for checking whether any matching element exists in the tree, and can be used in a conditional.

Two more methods help navigating between nodes in the tree:

`get_path`
  List the clades directly between the tree root (or current clade) and the given target. Returns a list of all clade objects along this path, ending with the given target, but excluding the root clade.
`trace`
  List of all clade object between two targets in this tree. Excluding start, including finish.

### 12.4.2 Information methods

These methods provide information about the whole tree (or any clade).

`common_ancestor`
  Find the most recent common ancestor of all the given targets. (This will be a Clade object). If no target is given, returns the root of the current clade (the one this method is called from); if 1 target is given, this returns the target itself. However, if any of the specified targets are not found in the current tree (or clade), an exception is raised.
`count_terminals`
  Counts the number of terminal (leaf) nodes within the tree.
`depths`
  Create a mapping of tree clades to depths. The result is a dictionary where the keys are all of the Clade instances in the tree, and the values are the distance from the root to each clade (including terminals). By default the distance is the cumulative branch length leading to the clade, but with the `unit_branch_lengths=True` option, only the number of branches (levels in the tree) is counted.
`distance`
  Calculate the sum of the branch lengths between two targets. If only one target is specified, the other is the root of this tree.
`total_branch_length`
  Calculate the sum of all the branch lengths in this tree. This is usually just called the “length” of the tree in phylogenetics, but we use a more explicit name to avoid confusion with Python terminology.

The rest of these methods are boolean checks:

`is_bifurcating`
  True if the tree is strictly bifurcating; i.e. all nodes have either 2 or 0 children (internal or external, respectively). The root may have 3 descendents and still be considered part of a bifurcating tree.
`is_monophyletic`
  Test if all of the given targets comprise a complete subclade — i.e., there exists a clade such that its terminals are the same set as the given targets. The targets should be terminals of the tree. For convenience, this method returns the common ancestor (MCRA) of the targets if they are monophyletic (instead of the value `True`), and `False` otherwise.
`is_parent_of`
  True if target is a descendent of this tree — not required to be a direct descendent. To check direct descendents of a clade, simply use list membership testing: `if subclade in clade: ...`
`is_preterminal`
  True if all direct descendents are terminal; False if any direct descendent is not terminal.

### 12.4.3 Modification methods

These methods modify the tree in-place. If you want to keep the original tree intact, make a complete copy of the tree first, using Python’s `copy` module:

    tree = Phylo.read('example.xml', 'phyloxml')
    import copy
    newtree = copy.deepcopy(tree)

`collapse`
  Deletes the target from the tree, relinking its children to its parent.
`collapse_all`
  Collapse all the descendents of this tree, leaving only terminals. Branch lengths are preserved, i.e. the distance to each terminal stays the same. With a target specification (see above), collapses only the internal nodes matching the specification.
`ladderize`
  Sort clades in-place according to the number of terminal nodes. Deepest clades are placed last by default. Use `reverse=True` to sort clades deepest-to-shallowest.
`prune`
  Prunes a terminal clade from the tree. If taxon is from a bifurcation, the connecting node will be collapsed and its branch length added to remaining terminal node. This might no longer be a meaningful value.
`root_with_outgroup`
  Reroot this tree with the outgroup clade containing the given targets, i.e. the common ancestor of the outgroup. This method is only available on Tree objects, not Clades.

  If the outgroup is identical to self.root, no change occurs. If the outgroup clade is terminal (e.g. a single terminal node is given as the outgroup), a new bifurcating root clade is created with a 0-length branch to the given outgroup. Otherwise, the internal node at the base of the outgroup becomes a trifurcating root for the whole tree. If the original root was bifurcating, it is dropped from the tree.

  In all cases, the total branch length of the tree stays the same.

`root_at_midpoint`
  Reroot this tree at the calculated midpoint between the two most distant tips of the tree. (This uses `root_with_outgroup` under the hood.)
`split`
  Generate n (default 2) new descendants. In a species tree, this is a speciation event. New clades have the given `branch_length` and the same name as this clade’s root plus an integer suffix (counting from 0) — for example, splitting a clade named “A” produces the sub-clades “A0” and “A1”.

See the Phylo page on the Biopython wiki (`http://biopython.org/wiki/Phylo`) for more examples of using the available methods.

### 12.4.4 Features of PhyloXML trees

The phyloXML file format includes fields for annotating trees with additional data types and visual cues.

See the PhyloXML page on the Biopython wiki (`http://biopython.org/wiki/PhyloXML`) for descriptions and examples of using the additional annotation features provided by PhyloXML.

## 12.5 Running external applications

While Bio.Phylo doesn’t infer trees from alignments itself, there are third-party programs available that do. These are supported through the module `Bio.Phylo.Applications`, using the same general framework as `Bio.Emboss.Applications`, `Bio.Align.Applications` and others.

Biopython 1.58 introduced a wrapper for PhyML (`http://www.atgc-montpellier.fr/phyml/`). The program accepts an input alignment in `phylip-relaxed` format (that’s Phylip format, but without the 10-character limit on taxon names) and a variety of options. A quick example:

    >>> from Bio import Phylo
    >>> from Bio.Phylo.Applications import PhymlCommandline
    >>> cmd = PhymlCommandline(input='Tests/Phylip/random.phy')
    >>> out_log, err_log = cmd()

This generates a tree file and a stats file with the names [input filename]`_phyml_tree.txt` and [input filename]`_phyml_stats.txt`. The tree file is in Newick format:

    >>> tree = Phylo.read('Tests/Phylip/random.phy_phyml_tree.txt', 'newick')
    >>> Phylo.draw_ascii(tree)

A similar wrapper for RAxML (`http://sco.h-its.org/exelixis/software.html`) was added in Biopython 1.60, and FastTree (`http://www.microbesonline.org/fasttree/`) in Biopython 1.62.

Note that some popular Phylip programs, including `dnaml` and `protml`, are already available through the EMBOSS wrappers in `Bio.Emboss.Applications` if you have the Phylip extensions to EMBOSS installed on your system. See Section 6.4 for some examples and clues on how to use programs like these.

## 12.6 PAML integration

Biopython 1.58 brought support for PAML (`http://abacus.gene.ucl.ac.uk/software/paml.html`), a suite of programs for phylogenetic analysis by maximum likelihood. Currently the programs codeml, baseml and yn00 are implemented. Due to PAML’s usage of control files rather than command line arguments to control runtime options, usage of this wrapper strays from the format of other application wrappers in Biopython.

A typical workflow would be to initialize a PAML object, specifying an alignment file, a tree file, an output file and a working directory. Next, runtime options are set via the `set_options()` method or by reading an existing control file. Finally, the program is run via the `run()` method and the output file is automatically parsed to a results dictionary.

Here is an example of typical usage of codeml:

    >>> from Bio.Phylo.PAML import codeml
    >>> cml = codeml.Codeml()
    >>> cml.alignment = "Tests/PAML/alignment.phylip"
    >>> cml.tree = "Tests/PAML/species.tree"
    >>> cml.out_file = "results.out"
    >>> cml.working_dir = "./scratch"
    >>> cml.set_options(seqtype=1,
    ...         verbose=0,
    ...         noisy=0,
    ...         RateAncestor=0,
    ...         model=0,
    ...         NSsites=[0, 1, 2],
    ...         CodonFreq=2,
    ...         cleandata=1,
    ...         fix_alpha=1,
    ...         kappa=4.54006)
    >>> results = cml.run()
    >>> ns_sites = results.get("NSsites")
    >>> m0 = ns_sites.get(0)
    >>> m0_params = m0.get("parameters")
    >>> print(m0_params.get("omega"))

Existing output files may be parsed as well using a module’s `read()` function:

    >>> results = codeml.read("Tests/PAML/Results/codeml/codeml_NSsites_all.out")
    >>> print(results.get("lnL max"))

Detailed documentation for this new module currently lives on the Biopython wiki: `http://biopython.org/wiki/PAML`

## 12.7 Future plans

Bio.Phylo is under active development. Here are some features we might add in future releases:

New methods
  Generally useful functions for operating on Tree or Clade objects appear on the Biopython wiki first, so that casual users can test them and decide if they’re useful before we add them to Bio.Phylo:

  `http://biopython.org/wiki/Phylo_cookbook`

Bio.Nexus port
  Much of this module was written during Google Summer of Code 2009, under the auspices of NESCent, as a project to implement Python support for the phyloXML data format (see 12.4.4). Support for Newick and Nexus formats was added by porting part of the existing Bio.Nexus module to the new classes used by Bio.Phylo.

  Currently, Bio.Nexus contains some useful features that have not yet been ported to Bio.Phylo classes — notably, calculating a consensus tree. If you find some functionality lacking in Bio.Phylo, try poking throught Bio.Nexus to see if it’s there instead.

We’re open to any suggestions for improving the functionality and usability of this module; just let us know on the mailing list or our bug database.

Finally, if you need additional functionality not yet included in the Phylo module, check if it’s available in another of the high-quality Python libraries for phylogenetics such as DendroPy (`http://pythonhosted.org/DendroPy/`) or PyCogent (`http://pycogent.org/`). Since these libraries also support standard file formats for phylogenetic trees, you can easily transfer data between libraries by writing to a temporary file or StringIO object.

# Chapter 13 Sequence motif analysis using Bio.motifs

This chapter gives an overview of the functionality of the `Bio.motifs` package included in Biopython. It is intended for people who are involved in the analysis of sequence motifs, so I’ll assume that you are familiar with basic notions of motif analysis. In case something is unclear, please look at Section 13.10 for some relevant links.

Most of this chapter describes the new `Bio.motifs` package included in Biopython 1.61 onwards, which is replacing the older `Bio.Motif` package introduced with Biopython 1.50, which was in turn based on two older former Biopython modules, `Bio.AlignAce` and `Bio.MEME`. It provides most of their functionality with a unified motif object implementation.

Speaking of other libraries, if you are reading this you might be interested in TAMO, another python library designed to deal with sequence motifs. It supports more de-novo motif finders, but it is not a part of Biopython and has some restrictions on commercial use.

## 13.1 Motif objects

Since we are interested in motif analysis, we need to take a look at `Motif` objects in the first place. For that we need to import the Bio.motifs library:

    >>> from Bio import motifs

and we can start creating our first motif objects. We can either create a `Motif` object from a list of instances of the motif, or we can obtain a `Motif` object by parsing a file from a motif database or motif finding software.

### 13.1.1 Creating a motif from instances

Suppose we have these instances of a DNA motif:

    >>> from Bio.Seq import Seq
    >>> instances = [Seq("TACAA"),
    ...              Seq("TACGC"),
    ...              Seq("TACAC"),
    ...              Seq("TACCC"),
    ...              Seq("AACCC"),
    ...              Seq("AATGC"),
    ...              Seq("AATGC"),
    ...             ]

then we can create a Motif object as follows:

    >>> m = motifs.create(instances)

The instances are saved in an attribute `m.instances`, which is essentially a Python list with some added functionality, as described below. Printing out the Motif object shows the instances from which it was constructed:

    >>> print(m)
    TACAA
    TACGC
    TACAC
    TACCC
    AACCC
    AATGC
    AATGC
    <BLANKLINE>

The length of the motif is defined as the sequence length, which should be the same for all instances:

    >>> len(m)
    5

The Motif object has an attribute `.counts` containing the counts of each nucleotide at each position. Printing this counts matrix shows it in an easily readable format:

    >>> print(m.counts)
            0      1      2      3      4
    A:   3.00   7.00   0.00   2.00   1.00
    C:   0.00   0.00   5.00   2.00   6.00
    G:   0.00   0.00   0.00   3.00   0.00
    T:   4.00   0.00   2.00   0.00   0.00
    <BLANKLINE>

You can access these counts as a dictionary:

    >>> m.counts['A']
    [3, 7, 0, 2, 1]

but you can also think of it as a 2D array with the nucleotide as the first dimension and the position as the second dimension:

    >>> m.counts['T', 0]
    4
    >>> m.counts['T', 2]
    2
    >>> m.counts['T', 3]
    0

You can also directly access columns of the counts matrix

    >>> m.counts[:, 3]
    {'A': 2, 'C': 2, 'T': 0, 'G': 3}

Instead of the nucleotide itself, you can also use the index of the nucleotide in the sorted letters in the alphabet of the motif:

    >>> m.alphabet
    IUPACUnambiguousDNA()
    >>> m.alphabet.letters
    'GATC'
    >>> sorted(m.alphabet.letters)
    ['A', 'C', 'G', 'T']
    >>> m.counts['A',:]
    (3, 7, 0, 2, 1)
    >>> m.counts[0,:]
    (3, 7, 0, 2, 1)

The motif has an associated consensus sequence, defined as the sequence of letters along the positions of the motif for which the largest value in the corresponding columns of the `.counts` matrix is obtained:

    >>> m.consensus
    Seq('TACGC', IUPACUnambiguousDNA())

as well as an anticonsensus sequence, corresponding to the smallest values in the columns of the `.counts` matrix:

    >>> m.anticonsensus
    Seq('GGGTG', IUPACUnambiguousDNA())

You can also ask for a degenerate consensus sequence, in which ambiguous nucleotides are used for positions where there are multiple nucleotides with high counts:

    >>> m.degenerate_consensus
    Seq('WACVC', IUPACAmbiguousDNA())

Here, W and R follow the IUPAC nucleotide ambiguity codes: W is either A or T, and V is A, C, or G [10]. The degenerate consensus sequence is constructed following the rules specified by Cavener [11].

We can also get the reverse complement of a motif:

    >>> r = m.reverse_complement()
    >>> r.consensus
    Seq('GCGTA', IUPACUnambiguousDNA())
    >>> r.degenerate_consensus
    Seq('GBGTW', IUPACAmbiguousDNA())
    >>> print(r)
    TTGTA
    GCGTA
    GTGTA
    GGGTA
    GGGTT
    GCATT
    GCATT
    <BLANKLINE>

The reverse complement and the degenerate consensus sequence are only defined for DNA motifs.

### 13.1.2 Creating a sequence logo

If we have internet access, we can create a weblogo:

    >>> m.weblogo("mymotif.png")

We should get our logo saved as a PNG in the specified file.

## 13.2 Reading motifs

Creating motifs from instances by hand is a bit boring, so it’s useful to have some I/O functions for reading and writing motifs. There are not any really well established standards for storing motifs, but there are a couple of formats that are more used than others.

### 13.2.1 JASPAR

One of the most popular motif databases is JASPAR. In addition to the motif sequence information, the JASPAR database stores a lot of meta-information for each motif. The module `Bio.motifs` contains a specialized class `jaspar.Motif` in which this meta-information is represented as attributes:

- `matrix_id` - the unique JASPAR motif ID, e.g. ’MA0004.1’
- `name` - the name of the TF, e.g. ’Arnt’
- `collection` - the JASPAR collection to which the motif belongs, e.g. ’CORE’
- `tf_class` - the structual class of this TF, e.g. ’Zipper-Type’
- `tf_family` - the family to which this TF belongs, e.g. ’Helix-Loop-Helix’
- `species` - the species to which this TF belongs, may have multiple values, these are specified as taxonomy IDs, e.g. 10090
- `tax_group` - the taxonomic supergroup to which this motif belongs, e.g. ’vertebrates’
- `acc` - the accession number of the TF protein, e.g. ’P53762’
- `data_type` - the type of data used to construct this motif, e.g. ’SELEX’
- `medline` - the Pubmed ID of literature supporting this motif, may be multiple values, e.g. 7592839
- `pazar_id` - external reference to the TF in the PAZAR database, e.g. ’TF0000003’
- `comment` - free form text containing notes about the construction of the motif

The `jaspar.Motif` class inherits from the generic `Motif` class and therefore provides all the facilities of any of the motif formats — reading motifs, writing motifs, scanning sequences for motif instances etc.

JASPAR stores motifs in several different ways including three different flat file formats and as an SQL database. All of these formats facilitate the construction of a counts matrix. However, the amount of meta information described above that is available varies with the format.

#### The JASPAR `sites` format

The first of the three flat file formats contains a list of instances. As an example, these are the beginning and ending lines of the JASPAR `Arnt.sites` file showing known binding sites of the mouse helix-loop-helix transcription factor Arnt.

    >MA0004 ARNT 1
    CACGTGatgtcctc
    >MA0004 ARNT 2
    CACGTGggaggtac
    >MA0004 ARNT 3
    CACGTGccgcgcgc
    ...
    >MA0004 ARNT 18
    AACGTGacagccctcc
    >MA0004 ARNT 19
    AACGTGcacatcgtcc
    >MA0004 ARNT 20
    aggaatCGCGTGc

The parts of the sequence in capital letters are the motif instances that were found to align to each other.

We can create a `Motif` object from these instances as follows:

    >>> from Bio import motifs
    >>> with open("Arnt.sites") as handle:
    ...     arnt = motifs.read(handle, "sites")
    ...

The instances from which this motif was created is stored in the `.instances` property:

    >>> print(arnt.instances[:3])
    [Seq('CACGTG', IUPACUnambiguousDNA()), Seq('CACGTG', IUPACUnambiguousDNA()), Seq('CACGTG', IUPACUnambiguousDNA())]
    >>> for instance in arnt.instances:
    ...     print(instance)
    ...
    CACGTG
    CACGTG
    CACGTG
    CACGTG
    CACGTG
    CACGTG
    CACGTG
    CACGTG
    CACGTG
    CACGTG
    CACGTG
    CACGTG
    CACGTG
    CACGTG
    CACGTG
    AACGTG
    AACGTG
    AACGTG
    AACGTG
    CGCGTG

The counts matrix of this motif is automatically calculated from the instances:

    >>> print(arnt.counts)
            0      1      2      3      4      5
    A:   4.00  19.00   0.00   0.00   0.00   0.00
    C:  16.00   0.00  20.00   0.00   0.00   0.00
    G:   0.00   1.00   0.00  20.00   0.00  20.00
    T:   0.00   0.00   0.00   0.00  20.00   0.00
    <BLANKLINE>

This format does not store any meta information.

#### The JASPAR `pfm` format

JASPAR also makes motifs available directly as a count matrix, without the instances from which it was created. This `pfm` format only stores the counts matrix for a single motif. For example, this is the JASPAR file `SRF.pfm` containing the counts matrix for the human SRF transcription factor:

     2 9 0 1 32 3 46 1 43 15 2 2
     1 33 45 45 1 1 0 0 0 1 0 1
    39 2 1 0 0 0 0 0 0 0 44 43
     4 2 0 0 13 42 0 45 3 30 0 0

We can create a motif for this count matrix as follows:

    >>> with open("SRF.pfm") as handle:
    ...     srf = motifs.read(handle, "pfm")
    ...
    >>> print(srf.counts)
            0      1      2      3      4      5      6      7      8      9     10     11
    A:   2.00   9.00   0.00   1.00  32.00   3.00  46.00   1.00  43.00  15.00   2.00   2.00
    C:   1.00  33.00  45.00  45.00   1.00   1.00   0.00   0.00   0.00   1.00   0.00   1.00
    G:  39.00   2.00   1.00   0.00   0.00   0.00   0.00   0.00   0.00   0.00  44.00  43.00
    T:   4.00   2.00   0.00   0.00  13.00  42.00   0.00  45.00   3.00  30.00   0.00   0.00
    <BLANKLINE>

As this motif was created from the counts matrix directly, it has no instances associated with it:

    >>> print(srf.instances)
    None

We can now ask for the consensus sequence of these two motifs:

    >>> print(arnt.counts.consensus)
    CACGTG
    >>> print(srf.counts.consensus)
    GCCCATATATGG

As with the instances file, no meta information is stored in this format.

#### The JASPAR format `jaspar`

The `jaspar` file format allows multiple motifs to be specified in a single file. In this format each of the motif records consist of a header line followed by four lines defining the counts matrix. The header line begins with a `>` character (similar to the Fasta file format) and is followed by the unique JASPAR matrix ID and the TF name. The following example shows a `jaspar` formatted file containing the three motifs Arnt, RUNX1 and MEF2A:

    >MA0004.1 Arnt
    A  [ 4 19  0  0  0  0 ]
    C  [16  0 20  0  0  0 ]
    G  [ 0  1  0 20  0 20 ]
    T  [ 0  0  0  0 20  0 ]
    >MA0002.1 RUNX1
    A  [10 12  4  1  2  2  0  0  0  8 13 ]
    C  [ 2  2  7  1  0  8  0  0  1  2  2 ]
    G  [ 3  1  1  0 23  0 26 26  0  0  4 ]
    T  [11 11 14 24  1 16  0  0 25 16  7 ]
    >MA0052.1 MEF2A
    A  [ 1  0 57  2  9  6 37  2 56  6 ]
    C  [50  0  1  1  0  0  0  0  0  0 ]
    G  [ 0  0  0  0  0  0  0  0  2 50 ]
    T  [ 7 58  0 55 49 52 21 56  0  2 ]

The motifs are read as follows:

    >>> fh = open("jaspar_motifs.txt")
    >>> for m in motifs.parse(fh, "jaspar"))
    ...     print(m)
    TF name  Arnt
    Matrix ID MA0004.1
    Matrix:
            0      1      2      3      4      5
    A:   4.00  19.00   0.00   0.00   0.00   0.00
    C:  16.00   0.00  20.00   0.00   0.00   0.00
    G:   0.00   1.00   0.00  20.00   0.00  20.00
    T:   0.00   0.00   0.00   0.00  20.00   0.00

    TF name  RUNX1
    Matrix ID MA0002.1
    Matrix:
            0      1      2      3      4      5      6      7      8      9     10
    A:  10.00  12.00   4.00   1.00   2.00   2.00   0.00   0.00   0.00   8.00  13.00
    C:   2.00   2.00   7.00   1.00   0.00   8.00   0.00   0.00   1.00   2.00   2.00
    G:   3.00   1.00   1.00   0.00  23.00   0.00  26.00  26.00   0.00   0.00   4.00
    T:  11.00  11.00  14.00  24.00   1.00  16.00   0.00   0.00  25.00  16.00   7.00

    TF name  MEF2A
    Matrix ID MA0052.1
    Matrix:
            0      1      2      3      4      5      6      7      8      9
    A:   1.00   0.00  57.00   2.00   9.00   6.00  37.00   2.00  56.00   6.00
    C:  50.00   0.00   1.00   1.00   0.00   0.00   0.00   0.00   0.00   0.00
    G:   0.00   0.00   0.00   0.00   0.00   0.00   0.00   0.00   2.00  50.00
    T:   7.00  58.00   0.00  55.00  49.00  52.00  21.00  56.00   0.00   2.00

Note that printing a JASPAR motif yields both the counts data and the available meta-information.

#### Accessing the JASPAR database

In addition to parsing these flat file formats, we can also retrieve motifs from a JASPAR SQL database. Unlike the flat file formats, a JASPAR database allows storing of all possible meta information defined in the JASPAR `Motif` class. It is beyond the scope of this document to describe how to set up a JASPAR database (please see the main JASPAR website). Motifs are read from a JASPAR database using the `Bio.motifs.jaspar.db` module. First connect to the JASPAR database using the JASPAR5 class which models the the latest JASPAR schema:

    >>> from Bio.motifs.jaspar.db import JASPAR5
    >>>
    >>> JASPAR_DB_HOST = <hostname>
    >>> JASPAR_DB_NAME = <db_name>
    >>> JASPAR_DB_USER = <user>
    >>> JASPAR_DB_PASS = <passord>
    >>>
    >>> jdb = JASPAR5(
    ...     host=JASPAR_DB_HOST,
    ...     name=JASPAR_DB_NAME,
    ...     user=JASPAR_DB_USER,
    ...     password=JASPAR_DB_PASS
    ... )

Now we can fetch a single motif by its unique JASPAR ID with the `fetch_motif_by_id` method. Note that a JASPAR ID conists of a base ID and a version number seperated by a decimal point, e.g. ’MA0004.1’. The `fetch_motif_by_id` method allows you to use either the fully specified ID or just the base ID. If only the base ID is provided, the latest version of the motif is returned.

    >>> arnt = jdb.fetch_motif_by_id("MA0004")

Printing the motif reveals that the JASPAR SQL database stores much more meta-information than the flat files:

    >>> print(arnt)
    TF name Arnt
    Matrix ID MA0004.1
    Collection CORE
    TF class Zipper-Type
    TF family Helix-Loop-Helix
    Species 10090
    Taxonomic group vertebrates
    Accession ['P53762']
    Data type used SELEX
    Medline 7592839
    PAZAR ID TF0000003
    Comments -
    Matrix:
     0      1      2      3      4      5
    A:   4.00  19.00   0.00   0.00   0.00   0.00
    C:  16.00   0.00  20.00   0.00   0.00   0.00
    G:   0.00   1.00   0.00  20.00   0.00  20.00
    T:   0.00   0.00   0.00   0.00  20.00   0.00

We can also fetch motifs by name. The name must be an exact match (partial matches or database wildcards are not currently supported). Note that as the name is not guaranteed to be unique, the `fetch_motifs_by_name` method actually returns a list.

    >>> motifs = jdb.fetch_motifs_by_name("Arnt")
    >>> print(motifs[0])
    TF name Arnt
    Matrix ID MA0004.1
    Collection CORE
    TF class Zipper-Type
    TF family Helix-Loop-Helix
    Species 10090
    Taxonomic group vertebrates
    Accession ['P53762']
    Data type used SELEX
    Medline 7592839
    PAZAR ID TF0000003
    Comments -
    Matrix:
     0      1      2      3      4      5
    A:   4.00  19.00   0.00   0.00   0.00   0.00
    C:  16.00   0.00  20.00   0.00   0.00   0.00
    G:   0.00   1.00   0.00  20.00   0.00  20.00
    T:   0.00   0.00   0.00   0.00  20.00   0.00

The `fetch_motifs` method allows you to fetch motifs which match a specified set of criteria. These criteria include any of the above described meta information as well as certain matrix properties such as the minimum information content (`min_ic` in the example below), the minimum length of the matrix or the minimum number of sites used to construct the matrix. Only motifs which pass ALL the specified criteria are returned. Note that selection criteria which correspond to meta information which allow for multiple values may be specified as either a single value or a list of values, e.g. `tax_group` and `tf_family` in the example below.

    >>> motifs = jdb.fetch_motifs(
    ...     collection = 'CORE',
    ...     tax_group = ['vertebrates', 'insects'],
    ...     tf_class = 'Winged Helix-Turn-Helix',
    ...     tf_family = ['Forkhead', 'Ets'],
    ...     min_ic = 12
    ... )
    >>> for motif in motifs:
    ...     pass # do something with the motif

#### Compatibility with Perl TFBS modules

An important thing to note is that the JASPAR `Motif` class was designed to be compatible with the popular Perl TFBS modules. Therefore some specifics about the choice of defaults for background and pseudocounts as well as how information content is computed and sequences searched for instances is based on this compatibility criteria. These choices are noted in the specific subsections below.

- Choice of background:
  The Perl `TFBS` modules appear to allow a choice of custom background probabilities (although the documentation states that uniform background is assumed). However the default is to use a uniform background. Therefore it is recommended that you use a uniform background for computing the position-specific scoring matrix (PSSM). This is the default when using the Biopython `motifs` module.
- Choice of pseudocounts:
  By default, the Perl `TFBS` modules use a pseudocount equal to √N * bg[nucleotide], where N represents the total number of sequences used to construct the matrix. To apply this same pseudocount formula, set the motif `pseudocounts` attribute using the `jaspar.calculate\_pseudcounts()` function:

      >>> motif.pseudocounts = motifs.jaspar.calculate_pseudocounts(motif)

  Note that it is possible for the counts matrix to have an unequal number of sequences making up the columns. The pseudocount computation uses the average number of sequences making up the matrix. However, when `normalize` is called on the counts matrix, each count value in a column is divided by the total number of sequences making up that specific column, not by the average number of sequences. This differs from the Perl `TFBS` modules because the normalization is not done as a separate step and so the average number of sequences is used throughout the computation of the pssm. Therefore, for matrices with unequal column counts, the PSSM computed by the `motifs` module will differ somewhat from the pssm computed by the Perl `TFBS` modules.
- Computation of matrix information content:
  The information content (IC) or specificity of a matrix is computed using the `mean` method of the `PositionSpecificScoringMatrix` class. However of note, in the Perl `TFBS` modules the default behaviour is to compute the IC without first applying pseudocounts, even though by default the PSSMs are computed using pseudocounts as described above.
- Searching for instances:
  Searching for instances with the Perl `TFBS` motifs was usually performed using a relative score threshold, i.e. a score in the range 0 to 1. In order to compute the absolute PSSM score corresponding to a relative score one can use the equation:

      >>> abs_score =  (pssm.max - pssm.min) * rel_score + pssm.min

  To convert the absolute score of an instance back to a relative score, one can use the equation:

      >>> rel_score = (abs_score - pssm.min) / (pssm.max - pssm.min)

  For example, using the Arnt motif before, let’s search a sequence with a relative score threshold of 0.8.

      >>> test_seq=Seq("TAAGCGTGCACGCGCAACACGTGCATTA", unambiguous_dna)
      >>> arnt.pseudocounts = motifs.jaspar.calculate_pseudocounts(arnt)
      >>> pssm = arnt.pssm
      >>> max_score = pssm.max
      >>> min_score = pssm.min
      >>> abs_score_threshold = (max_score - min_score) * 0.8 + min_score
      >>> for position, score in pssm.search(test_seq,
                                             threshold=abs_score_threshold):
      ...     rel_score = (score - min_score) / (max_score - min_score)
      ...     print("Position %d: score = %5.3f, rel. score = %5.3f" % (
                  position, score, rel_score))
      ...
      Position 2: score = 5.362, rel. score = 0.801
      Position 8: score = 6.112, rel. score = 0.831
      Position -20: score = 7.103, rel. score = 0.870
      Position 17: score = 10.351, rel. score = 1.000
      Position -11: score = 10.351, rel. score = 1.000

### 13.2.2 MEME

MEME [12] is a tool for discovering motifs in a group of related DNA or protein sequences. It takes as input a group of DNA or protein sequences and outputs as many motifs as requested. Therefore, in contrast to JASPAR files, MEME output files typically contain multiple motifs. This is an example.

At the top of an output file generated by MEME shows some background information about the MEME and the version of MEME used:

    ********************************************************************************
    MEME - Motif discovery tool
    ********************************************************************************
    MEME version 3.0 (Release date: 2004/08/18 09:07:01)
    ...

Further down, the input set of training sequences is recapitulated:

    ********************************************************************************
    TRAINING SET
    ********************************************************************************
    DATAFILE= INO_up800.s
    ALPHABET= ACGT
    Sequence name            Weight Length  Sequence name            Weight Length
    -------------            ------ ------  -------------            ------ ------
    CHO1                     1.0000    800  CHO2                     1.0000    800
    FAS1                     1.0000    800  FAS2                     1.0000    800
    ACC1                     1.0000    800  INO1                     1.0000    800
    OPI3                     1.0000    800
    ********************************************************************************

and the exact command line that was used:

    ********************************************************************************
    COMMAND LINE SUMMARY
    ********************************************************************************
    This information can also be useful in the event you wish to report a
    problem with the MEME software.

    command: meme -mod oops -dna -revcomp -nmotifs 2 -bfile yeast.nc.6.freq INO_up800.s
    ...

Next is detailed information on each motif that was found:

    ********************************************************************************
    MOTIF  1        width =   12   sites =   7   llr = 95   E-value = 2.0e-001
    ********************************************************************************
    --------------------------------------------------------------------------------
            Motif 1 Description
    --------------------------------------------------------------------------------
    Simplified        A  :::9:a::::3:
    pos.-specific     C  ::a:9:11691a
    probability       G  ::::1::94:4:
    matrix            T  aa:1::9::11:

To parse this file (stored as `meme.dna.oops.txt`), use

    >>> handle = open("meme.dna.oops.txt")
    >>> record = motifs.parse(handle, "meme")
    >>> handle.close()

The `motifs.parse` command reads the complete file directly, so you can close the file after calling `motifs.parse`. The header information is stored in attributes:

    >>> record.version
    '3.0'
    >>> record.datafile
    'INO_up800.s'
    >>> record.command
    'meme -mod oops -dna -revcomp -nmotifs 2 -bfile yeast.nc.6.freq INO_up800.s'
    >>> record.alphabet
    IUPACUnambiguousDNA()
    >>> record.sequences
    ['CHO1', 'CHO2', 'FAS1', 'FAS2', 'ACC1', 'INO1', 'OPI3']

The record is an object of the `Bio.motifs.meme.Record` class. The class inherits from list, and you can think of `record` as a list of Motif objects:

    >>> len(record)
    2
    >>> motif = record[0]
    >>> print(motif.consensus)
    TTCACATGCCGC
    >>> print(motif.degenerate_consensus)
    TTCACATGSCNC

In addition to these generic motif attributes, each motif also stores its specific information as calculated by MEME. For example,

    >>> motif.num_occurrences
    7
    >>> motif.length
    12
    >>> evalue = motif.evalue
    >>> print("%3.1g" % evalue)
    0.2
    >>> motif.name
    'Motif 1'

In addition to using an index into the record, as we did above, you can also find it by its name:

    >>> motif = record['Motif 1']

Each motif has an attribute `.instances` with the sequence instances in which the motif was found, providing some information on each instance:

    >>> len(motif.instances)
    7
    >>> motif.instances[0]
    Instance('TTCACATGCCGC', IUPACUnambiguousDNA())
    >>> motif.instances[0].motif_name
    'Motif 1'
    >>> motif.instances[0].sequence_name
    'INO1'
    >>> motif.instances[0].start
    620
    >>> motif.instances[0].strand
    '-'
    >>> motif.instances[0].length
    12
    >>> pvalue = motif.instances[0].pvalue
    >>> print("%5.3g" % pvalue)
    1.85e-08

#### MAST

### 13.2.3 TRANSFAC

TRANSFAC is a manually curated database of transcription factors, together with their genomic binding sites and DNA binding profiles [27]. While the file format used in the TRANSFAC database is nowadays also used by others, we will refer to it as the TRANSFAC file format.

A minimal file in the TRANSFAC format looks as follows:

    ID  motif1
    P0      A      C      G      T
    01      1      2      2      0      S
    02      2      1      2      0      R
    03      3      0      1      1      A
    04      0      5      0      0      C
    05      5      0      0      0      A
    06      0      0      4      1      G
    07      0      1      4      0      G
    08      0      0      0      5      T
    09      0      0      5      0      G
    10      0      1      2      2      K
    11      0      2      0      3      Y
    12      1      0      3      1      G
    //

This file shows the frequency matrix of motif `motif1` of 12 nucleotides. In general, one file in the TRANSFAC format can contain multiple motifs. For example, this is the contents of the example TRANSFAC file `transfac.dat`:

    VV  EXAMPLE January 15, 2013
    XX
    //
    ID  motif1
    P0      A      C      G      T
    01      1      2      2      0      S
    02      2      1      2      0      R
    03      3      0      1      1      A
    ...
    11      0      2      0      3      Y
    12      1      0      3      1      G
    //
    ID  motif2
    P0      A      C      G      T
    01      2      1      2      0      R
    02      1      2      2      0      S
    ...
    09      0      0      0      5      T
    10      0      2      0      3      Y
    //

To parse a TRANSFAC file, use

    >>> handle = open("transfac.dat")
    >>> record = motifs.parse(handle, "TRANSFAC")
    >>> handle.close()

The overall version number, if available, is stored as `record.version`:

    >>> record.version
    'EXAMPLE January 15, 2013'

Each motif in `record` is in instance of the `Bio.motifs.transfac.Motif` class, which inherits both from the `Bio.motifs.Motif` class and from a Python dictionary. The dictionary uses the two-letter keys to store any additional information about the motif:

    >>> motif = record[0]
    >>> motif.degenerate_consensus # Using the Bio.motifs.Motif method
    Seq('SRACAGGTGKYG', IUPACAmbiguousDNA())
    >>> motif['ID'] # Using motif as a dictionary
    'motif1'

TRANSFAC files are typically much more elaborate than this example, containing lots of additional information about the motif. Table 13.2.3 lists the two-letter field codes that are commonly found in TRANSFAC files:

> Table 13.1: Fields commonly found in TRANSFAC files

> `AC` | Accession number
> `AS` | Accession numbers, secondary
> `BA` | Statistical basis
> `BF` | Binding factors
> `BS` | Factor binding sites underlying the matrix
> `CC` | Comments
> `CO` | Copyright notice
> `DE` | Short factor description
> `DR` | External databases
> `DT` | Date created/updated
> `HC` | Subfamilies
> `HP` | Superfamilies
> `ID` | Identifier
> `NA` | Name of the binding factor
> `OC` | Taxonomic classification
> `OS` | Species/Taxon
> `OV` | Older version
> `PV` | Preferred version
> `TY` | Type
> `XX` | Empty line; these are not stored in the Record.

Each motif also has an attribute `.references` containing the references associated with the motif, using these two-letter keys:

> Table 13.2: Fields used to store references in TRANSFAC files

> `RN` | Reference number
> `RA` | Reference authors
> `RL` | Reference data
> `RT` | Reference title
> `RX` | PubMed ID

Printing the motifs writes them out in their native TRANSFAC format:

    >>> print(record)
    VV  EXAMPLE January 15, 2013
    XX
    //
    ID  motif1
    XX
    P0      A      C      G      T
    01      1      2      2      0      S
    02      2      1      2      0      R
    03      3      0      1      1      A
    04      0      5      0      0      C
    05      5      0      0      0      A
    06      0      0      4      1      G
    07      0      1      4      0      G
    08      0      0      0      5      T
    09      0      0      5      0      G
    10      0      1      2      2      K
    11      0      2      0      3      Y
    12      1      0      3      1      G
    XX
    //
    ID  motif2
    XX
    P0      A      C      G      T
    01      2      1      2      0      R
    02      1      2      2      0      S
    03      0      5      0      0      C
    04      3      0      1      1      A
    05      0      0      4      1      G
    06      5      0      0      0      A
    07      0      1      4      0      G
    08      0      0      5      0      G
    09      0      0      0      5      T
    10      0      2      0      3      Y
    XX
    //
    <BLANKLINE>

You can export the motifs in the TRANSFAC format by capturing this output in a string and saving it in a file:

    >>> text = str(record)
    >>> handle = open("mytransfacfile.dat", 'w')
    >>> handle.write(text)
    >>> handle.close()

## 13.3 Writing motifs

Speaking of exporting, let’s look at export functions in general. We can use the `format` method to write the motif in the simple JASPAR `pfm` format:

    >>> print(arnt.format("pfm"))
      4.00  19.00   0.00   0.00   0.00   0.00
     16.00   0.00  20.00   0.00   0.00   0.00
      0.00   1.00   0.00  20.00   0.00  20.00
      0.00   0.00   0.00   0.00  20.00   0.00

Similarly, we can use `format` to write the motif in the JASPAR `jaspar` format:

    >>> print(arnt.format("jaspar"))
    >MA0004.1  Arnt
    A [  4.00  19.00   0.00   0.00   0.00   0.00]
    C [ 16.00   0.00  20.00   0.00   0.00   0.00]
    G [  0.00   1.00   0.00  20.00   0.00  20.00]
    T [  0.00   0.00   0.00   0.00  20.00   0.00]

To write the motif in a TRANSFAC-like matrix format, use

    >>> print(m.format("transfac"))
    P0      A      C      G      T
    01      3      0      0      4      W
    02      7      0      0      0      A
    03      0      5      0      2      C
    04      2      2      3      0      V
    05      1      6      0      0      C
    XX
    //
    <BLANKLINE>

To write out multiple motifs, you can use `motifs.write`. This function can be used regardless of whether the motifs originated from a TRANSFAC file. For example,

    >>> two_motifs = [arnt, srf]
    >>> print(motifs.write(two_motifs, 'transfac'))
    P0      A      C      G      T
    01      4     16      0      0      C
    02     19      0      1      0      A
    03      0     20      0      0      C
    04      0      0     20      0      G
    05      0      0      0     20      T
    06      0      0     20      0      G
    XX
    //
    P0      A      C      G      T
    01      2      1     39      4      G
    02      9     33      2      2      C
    03      0     45      1      0      C
    04      1     45      0      0      C
    05     32      1      0     13      A
    06      3      1      0     42      T
    07     46      0      0      0      A
    08      1      0      0     45      T
    09     43      0      0      3      A
    10     15      1      0     30      T
    11      2      0     44      0      G
    12      2      1     43      0      G
    XX
    //
    <BLANKLINE>

Or, to write multiple motifs in the `jaspar` format:

    >>> two_motifs = [arnt, mef2a]
    >>> print(motifs.write(two_motifs, "jaspar"))
    >MA0004.1  Arnt
    A [  4.00  19.00   0.00   0.00   0.00   0.00]
    C [ 16.00   0.00  20.00   0.00   0.00   0.00]
    G [  0.00   1.00   0.00  20.00   0.00  20.00]
    T [  0.00   0.00   0.00   0.00  20.00   0.00]
    >MA0052.1  MEF2A
    A [  1.00   0.00  57.00   2.00   9.00   6.00  37.00   2.00  56.00   6.00]
    C [ 50.00   0.00   1.00   1.00   0.00   0.00   0.00   0.00   0.00   0.00]
    G [  0.00   0.00   0.00   0.00   0.00   0.00   0.00   0.00   2.00  50.00]
    T [  7.00  58.00   0.00  55.00  49.00  52.00  21.00  56.00   0.00   2.00]

## 13.4 Position-Weight Matrices

The `.counts` attribute of a Motif object shows how often each nucleotide appeared at each position along the alignment. We can normalize this matrix by dividing by the number of instances in the alignment, resulting in the probability of each nucleotide at each position along the alignment. We refer to these probabilities as the position-weight matrix. However, beware that in the literature this term may also be used to refer to the position-specific scoring matrix, which we discuss below.

Usually, pseudocounts are added to each position before normalizing. This avoids overfitting of the position-weight matrix to the limited number of motif instances in the alignment, and can also prevent probabilities from becoming zero. To add a fixed pseudocount to all nucleotides at all positions, specify a number for the `pseudocounts` argument:

    >>> pwm = m.counts.normalize(pseudocounts=0.5)
    >>> print(pwm)
            0      1      2      3      4
    A:   0.39   0.83   0.06   0.28   0.17
    C:   0.06   0.06   0.61   0.28   0.72
    G:   0.06   0.06   0.06   0.39   0.06
    T:   0.50   0.06   0.28   0.06   0.06
    <BLANKLINE>

Alternatively, `pseudocounts` can be a dictionary specifying the pseudocounts for each nucleotide. For example, as the GC content of the human genome is about 40%, you may want to choose the pseudocounts accordingly:

    >>> pwm = m.counts.normalize(pseudocounts={'A':0.6, 'C': 0.4, 'G': 0.4, 'T': 0.6})
    >>> print(pwm)
            0      1      2      3      4
    A:   0.40   0.84   0.07   0.29   0.18
    C:   0.04   0.04   0.60   0.27   0.71
    G:   0.04   0.04   0.04   0.38   0.04
    T:   0.51   0.07   0.29   0.07   0.07
    <BLANKLINE>

The position-weight matrix has its own methods to calculate the consensus, anticonsensus, and degenerate consensus sequences:

    >>> pwm.consensus
    Seq('TACGC', IUPACUnambiguousDNA())
    >>> pwm.anticonsensus
    Seq('GGGTG', IUPACUnambiguousDNA())
    >>> pwm.degenerate_consensus
    Seq('WACNC', IUPACAmbiguousDNA())

Note that due to the pseudocounts, the degenerate consensus sequence calculated from the position-weight matrix is slightly different from the degenerate consensus sequence calculated from the instances in the motif:

    >>> m.degenerate_consensus
    Seq('WACVC', IUPACAmbiguousDNA())

The reverse complement of the position-weight matrix can be calculated directly from the `pwm`:

    >>> rpwm = pwm.reverse_complement()
    >>> print(rpwm)
            0      1      2      3      4
    A:   0.07   0.07   0.29   0.07   0.51
    C:   0.04   0.38   0.04   0.04   0.04
    G:   0.71   0.27   0.60   0.04   0.04
    T:   0.18   0.29   0.07   0.84   0.40
    <BLANKLINE>

## 13.5 Position-Specific Scoring Matrices

Using the background distribution and PWM with pseudo-counts added, it’s easy to compute the log-odds ratios, telling us what are the log odds of a particular symbol to be coming from a motif against the background. We can use the `.log_odds()` method on the position-weight matrix:

    >>> pssm = pwm.log_odds()
    >>> print(pssm)
            0      1      2      3      4
    A:   0.68   1.76  -1.91   0.21  -0.49
    C:  -2.49  -2.49   1.26   0.09   1.51
    G:  -2.49  -2.49  -2.49   0.60  -2.49
    T:   1.03  -1.91   0.21  -1.91  -1.91
    <BLANKLINE>

Here we can see positive values for symbols more frequent in the motif than in the background and negative for symbols more frequent in the background. 0.0 means that it’s equally likely to see a symbol in the background and in the motif.

This assumes that A, C, G, and T are equally likely in the background. To calculate the position-specific scoring matrix against a background with unequal probabilities for A, C, G, T, use the `background` argument. For example, against a background with a 40% GC content, use

    >>> background = {'A':0.3,'C':0.2,'G':0.2,'T':0.3}
    >>> pssm = pwm.log_odds(background)
    >>> print(pssm)
            0      1      2      3      4
    A:   0.42   1.49  -2.17  -0.05  -0.75
    C:  -2.17  -2.17   1.58   0.42   1.83
    G:  -2.17  -2.17  -2.17   0.92  -2.17
    T:   0.77  -2.17  -0.05  -2.17  -2.17
    <BLANKLINE>

The maximum and minimum score obtainable from the PSSM are stored in the `.max` and `.min` properties:

    >>> print("%4.2f" % pssm.max)
    6.59
    >>> print("%4.2f" % pssm.min)
    -10.85

The mean and standard deviation of the PSSM scores with respect to a specific background are calculated by the `.mean` and `.std` methods.

    >>> mean = pssm.mean(background)
    >>> std = pssm.std(background)
    >>> print("mean = %0.2f, standard deviation = %0.2f" % (mean, std))
    mean = 3.21, standard deviation = 2.59

A uniform background is used if `background` is not specified. The mean is particularly important, as its value is equal to the Kullback-Leibler divergence or relative entropy, and is a measure for the information content of the motif compared to the background. As in Biopython the base-2 logarithm is used in the calculation of the log-odds scores, the information content has units of bits.

The `.reverse_complement`, `.consensus`, `.anticonsensus`, and `.degenerate_consensus` methods can be applied directly to PSSM objects.

## 13.6 Searching for instances

The most frequent use for a motif is to find its instances in some sequence. For the sake of this section, we will use an artificial sequence like this:

    >>> test_seq=Seq("TACACTGCATTACAACCCAAGCATTA", m.alphabet)
    >>> len(test_seq)
    26

### 13.6.1 Searching for exact matches

The simplest way to find instances, is to look for exact matches of the true instances of the motif:

    >>> for pos, seq in m.instances.search(test_seq):
    ...     print("%i %s" % (pos, seq))
    ...
    0 TACAC
    10 TACAA
    13 AACCC

We can do the same with the reverse complement (to find instances on the complementary strand):

    >>> for pos, seq in r.instances.search(test_seq):
    ...     print("%i %s" % (pos, seq))
    ...
    6 GCATT
    20 GCATT

### 13.6.2 Searching for matches using the PSSM score

It’s just as easy to look for positions, giving rise to high log-odds scores against our motif:

    >>> for position, score in pssm.search(test_seq, threshold=3.0):
    ...     print("Position %d: score = %5.3f" % (position, score))
    ...
    Position 0: score = 5.622
    Position -20: score = 4.601
    Position 10: score = 3.037
    Position 13: score = 5.738
    Position -6: score = 4.601

The negative positions refer to instances of the motif found on the reverse strand of the test sequence, and follow the Python convention on negative indices. Therefore, the instance of the motif at `pos` is located at `test_seq[pos:pos+len(m)]` both for positive and for negative values of `pos`.

You may notice the threshold parameter, here set arbitrarily to 3.0. This is in log2, so we are now looking only for words, which are eight times more likely to occur under the motif model than in the background. The default threshold is 0.0, which selects everything that looks more like the motif than the background.

You can also calculate the scores at all positions along the sequence:

    >>> pssm.calculate(test_seq)
    array([  5.62230396,  -5.6796999 ,  -3.43177247,   0.93827754,
            -6.84962511,  -2.04066086, -10.84962463,  -3.65614533,
            -0.03370807,  -3.91102552,   3.03734159,  -2.14918518,
            -0.6016975 ,   5.7381525 ,  -0.50977498,  -3.56422281,
            -8.73414803,  -0.09919716,  -0.6016975 ,  -2.39429784,
           -10.84962463,  -3.65614533], dtype=float32)

In general, this is the fastest way to calculate PSSM scores. The scores returned by `pssm.calculate` are for the forward strand only. To obtain the scores on the reverse strand, you can take the reverse complement of the PSSM:

    >>> rpssm = pssm.reverse_complement()
    >>> rpssm.calculate(test_seq)
    array([ -9.43458748,  -3.06172252,  -7.18665981,  -7.76216221,
            -2.04066086,  -4.26466274,   4.60124254,  -4.2480607 ,
            -8.73414803,  -2.26503372,  -6.49598789,  -5.64668512,
            -8.73414803, -10.84962463,  -4.82356262,  -4.82356262,
            -5.64668512,  -8.73414803,  -4.15613794,  -5.6796999 ,
             4.60124254,  -4.2480607 ], dtype=float32)

### 13.6.3 Selecting a score threshold

If you want to use a less arbitrary way of selecting thresholds, you can explore the distribution of PSSM scores. Since the space for a score distribution grows exponentially with motif length, we are using an approximation with a given precision to keep computation cost manageable:

    >>> distribution = pssm.distribution(background=background, precision=10**4)

The `distribution` object can be used to determine a number of different thresholds. We can specify the requested false-positive rate (probability of “finding” a motif instance in background generated sequence):

    >>> threshold = distribution.threshold_fpr(0.01)
    >>> print("%5.3f" % threshold)
    4.009

or the false-negative rate (probability of “not finding” an instance generated from the motif):

    >>> threshold = distribution.threshold_fnr(0.1)
    >>> print("%5.3f" % threshold)
    -0.510

or a threshold (approximately) satisfying some relation between the false-positive rate and the false-negative rate (fnr/fpr≃ t):

    >>> threshold = distribution.threshold_balanced(1000)
    >>> print("%5.3f" % threshold)
    6.241

or a threshold satisfying (roughly) the equality between the false-positive rate and the −log of the information content (as used in patser software by Hertz and Stormo):

    >>> threshold = distribution.threshold_patser()
    >>> print("%5.3f" % threshold)
    0.346

For example, in case of our motif, you can get the threshold giving you exactly the same results (for this sequence) as searching for instances with balanced threshold with rate of 1000.

    >>> threshold = distribution.threshold_fpr(0.01)
    >>> print("%5.3f" % threshold)
    4.009
    >>> for position, score in pssm.search(test_seq, threshold=threshold):
    ...     print("Position %d: score = %5.3f" % (position, score))
    ...
    Position 0: score = 5.622
    Position -20: score = 4.601
    Position 13: score = 5.738
    Position -6: score = 4.601

## 13.7 Each motif object has an associated Position-Specific Scoring Matrix

To facilitate searching for potential TFBSs using PSSMs, both the position-weight matrix and the position-specific scoring matrix are associated with each motif. Using the Arnt motif as an example:

    >>> from Bio import motifs
    >>> with open("Arnt.sites") as handle:
    ...     motif = motifs.read(handle, 'sites')
    ...
    >>> print(motif.counts)
            0      1      2      3      4      5
    A:   4.00  19.00   0.00   0.00   0.00   0.00
    C:  16.00   0.00  20.00   0.00   0.00   0.00
    G:   0.00   1.00   0.00  20.00   0.00  20.00
    T:   0.00   0.00   0.00   0.00  20.00   0.00
    <BLANKLINE>
    >>> print(motif.pwm)
            0      1      2      3      4      5
    A:   0.20   0.95   0.00   0.00   0.00   0.00
    C:   0.80   0.00   1.00   0.00   0.00   0.00
    G:   0.00   0.05   0.00   1.00   0.00   1.00
    T:   0.00   0.00   0.00   0.00   1.00   0.00
    <BLANKLINE>

    >>> print(motif.pssm)
            0      1      2      3      4      5
    A:  -0.32   1.93   -inf   -inf   -inf   -inf
    C:   1.68   -inf   2.00   -inf   -inf   -inf
    G:   -inf  -2.32   -inf   2.00   -inf   2.00
    T:   -inf   -inf   -inf   -inf   2.00   -inf
    <BLANKLINE>

The negative infinities appear here because the corresponding entry in the frequency matrix is 0, and we are using zero pseudocounts by default:

    >>> for letter in "ACGT":
    ...     print("%s: %4.2f" % (letter, motif.pseudocounts[letter]))
    ...
    A: 0.00
    C: 0.00
    G: 0.00
    T: 0.00

If you change the `.pseudocounts` attribute, the position-frequency matrix and the position-specific scoring matrix are recalculated automatically:

    >>> motif.pseudocounts = 3.0
    >>> for letter in "ACGT":
    ...     print("%s: %4.2f" % (letter, motif.pseudocounts[letter]))
    ...
    A: 3.00
    C: 3.00
    G: 3.00
    T: 3.00

    >>> print(motif.pwm)
            0      1      2      3      4      5
    A:   0.22   0.69   0.09   0.09   0.09   0.09
    C:   0.59   0.09   0.72   0.09   0.09   0.09
    G:   0.09   0.12   0.09   0.72   0.09   0.72
    T:   0.09   0.09   0.09   0.09   0.72   0.09
    <BLANKLINE>

    >>> print(motif.pssm)
            0      1      2      3      4      5
    A:  -0.19   1.46  -1.42  -1.42  -1.42  -1.42
    C:   1.25  -1.42   1.52  -1.42  -1.42  -1.42
    G:  -1.42  -1.00  -1.42   1.52  -1.42   1.52
    T:  -1.42  -1.42  -1.42  -1.42   1.52  -1.42
    <BLANKLINE>

You can also set the `.pseudocounts` to a dictionary over the four nucleotides if you want to use different pseudocounts for them. Setting `motif.pseudocounts` to `None` resets it to its default value of zero.

The position-specific scoring matrix depends on the background distribution, which is uniform by default:

    >>> for letter in "ACGT":
    ...     print("%s: %4.2f" % (letter, motif.background[letter]))
    ...
    A: 0.25
    C: 0.25
    G: 0.25
    T: 0.25

Again, if you modify the background distribution, the position-specific scoring matrix is recalculated:

    >>> motif.background = {'A': 0.2, 'C': 0.3, 'G': 0.3, 'T': 0.2}
    >>> print(motif.pssm)
            0      1      2      3      4      5
    A:   0.13   1.78  -1.09  -1.09  -1.09  -1.09
    C:   0.98  -1.68   1.26  -1.68  -1.68  -1.68
    G:  -1.68  -1.26  -1.68   1.26  -1.68   1.26
    T:  -1.09  -1.09  -1.09  -1.09   1.85  -1.09
    <BLANKLINE>

Setting `motif.background` to `None` resets it to a uniform distribution:

    >>> motif.background = None
    >>> for letter in "ACGT":
    ...     print("%s: %4.2f" % (letter, motif.background[letter]))
    ...
    A: 0.25
    C: 0.25
    G: 0.25
    T: 0.25

If you set `motif.background` equal to a single value, it will be interpreted as the GC content:

    >>> motif.background = 0.8
    >>> for letter in "ACGT":
    ...     print("%s: %4.2f" % (letter, motif.background[letter]))
    ...
    A: 0.10
    C: 0.40
    G: 0.40
    T: 0.10

Note that you can now calculate the mean of the PSSM scores over the background against which it was computed:

    >>> print("%f" % motif.pssm.mean(motif.background))
    4.703928

as well as its standard deviation:

    >>> print("%f" % motif.pssm.std(motif.background))
    3.290900

and its distribution:

    >>> distribution = motif.pssm.distribution(background=motif.background)
    >>> threshold = distribution.threshold_fpr(0.01)
    >>> print("%f" % threshold)
    3.854375

Note that the position-weight matrix and the position-specific scoring matrix are recalculated each time you call `motif.pwm` or `motif.pssm`, respectively. If speed is an issue and you want to use the PWM or PSSM repeatedly, you can save them as a variable, as in

    >>> pssm = motif.pssm

## 13.8 Comparing motifs

Once we have more than one motif, we might want to compare them.

Before we start comparing motifs, I should point out that motif boundaries are usually quite arbitrary. This means we often need to compare motifs of different lengths, so comparison needs to involve some kind of alignment. This means we have to take into account two things:

- alignment of motifs
- some function to compare aligned motifs

To align the motifs, we use ungapped alignment of PSSMs and substitute zeros for any missing columns at the beginning and end of the matrices. This means that effectively we are using the background distribution for columns missing from the PSSM. The distance function then returns the minimal distance between motifs, as well as the corresponding offset in their alignment.

To give an example, let us first load another motif, which is similar to our test motif `m`:

    >>> with open("REB1.pfm") as handle:
    ...    m_reb1 = motifs.read(handle, "pfm")
    ...
    >>> m_reb1.consensus
    Seq('GTTACCCGG', IUPACUnambiguousDNA())
    >>> print(m_reb1.counts)
            0      1      2      3      4      5      6      7      8
    A:  30.00   0.00   0.00 100.00   0.00   0.00   0.00   0.00  15.00
    C:  10.00   0.00   0.00   0.00 100.00 100.00 100.00   0.00  15.00
    G:  50.00   0.00   0.00   0.00   0.00   0.00   0.00  60.00  55.00
    T:  10.00 100.00 100.00   0.00   0.00   0.00   0.00  40.00  15.00
    <BLANKLINE>

To make the motifs comparable, we choose the same values for the pseudocounts and the background distribution as our motif `m`:

    >>> m_reb1.pseudocounts = {'A':0.6, 'C': 0.4, 'G': 0.4, 'T': 0.6}
    >>> m_reb1.background = {'A':0.3,'C':0.2,'G':0.2,'T':0.3}
    >>> pssm_reb1 = m_reb1.pssm
    >>> print(pssm_reb1)
            0      1      2      3      4      5      6      7      8
    A:   0.00  -5.67  -5.67   1.72  -5.67  -5.67  -5.67  -5.67  -0.97
    C:  -0.97  -5.67  -5.67  -5.67   2.30   2.30   2.30  -5.67  -0.41
    G:   1.30  -5.67  -5.67  -5.67  -5.67  -5.67  -5.67   1.57   1.44
    T:  -1.53   1.72   1.72  -5.67  -5.67  -5.67  -5.67   0.41  -0.97
    <BLANKLINE>

We’ll compare these motifs using the Pearson correlation. Since we want it to resemble a distance measure, we actually take 1−r, where r is the Pearson correlation coefficient (PCC):

    >>> distance, offset = pssm.dist_pearson(pssm_reb1)
    >>> print("distance = %5.3g" % distance)
    distance = 0.239
    >>> print(offset)
    -2

This means that the best PCC between motif `m` and `m_reb1` is obtained with the following alignment:

    m:      bbTACGCbb
    m_reb1: GTTACCCGG

where `b` stands for background distribution. The PCC itself is roughly 1−0.239=0.761.

## 13.9 De novo motif finding

Currently, Biopython has only limited support for de novo motif finding. Namely, we support running and parsing of AlignAce and MEME. Since the number of motif finding tools is growing rapidly, contributions of new parsers are welcome.

### 13.9.1 MEME

Let’s assume, you have run MEME on sequences of your choice with your favorite parameters and saved the output in the file `meme.out`. You can retrieve the motifs reported by MEME by running the following piece of code:

    >>> from Bio import motifs
    >>> with open("meme.out") as handle:
    ...     motifsM = motifs.parse(handle, "meme")
    ...

    >>> motifsM
    [<Bio.motifs.meme.Motif object at 0xc356b0>]

Besides the most wanted list of motifs, the result object contains more useful information, accessible through properties with self-explanatory names:

- `.alphabet`
- `.datafile`
- `.sequence_names`
- `.version`
- `.command`

The motifs returned by the MEME Parser can be treated exactly like regular Motif objects (with instances), they also provide some extra functionality, by adding additional information about the instances.

    >>> motifsM[0].consensus
    Seq('CTCAATCGTA', IUPACUnambiguousDNA())
    >>> motifsM[0].instances[0].sequence_name
    'SEQ10;'
    >>> motifsM[0].instances[0].start
    3
    >>> motifsM[0].instances[0].strand
    '+'

    >>> motifsM[0].instances[0].pvalue
    8.71e-07

### 13.9.2 AlignAce

We can do very similar things with the AlignACE program. Assume, you have your output in the file `alignace.out`. You can parse your output with the following code:

    >>> from Bio import motifs
    >>> with open("alignace.out") as handle:
    ...     motifsA = motifs.parse(handle, "alignace")
    ...

Again, your motifs behave as they should:

    >>> motifsA[0].consensus
    Seq('TCTACGATTGAG', IUPACUnambiguousDNA())

In fact you can even see, that AlignAce found a very similar motif as MEME. It is just a longer version of a reverse complement of the MEME motif:

    >>> motifsM[0].reverse_complement().consensus
    Seq('TACGATTGAG', IUPACUnambiguousDNA())

If you have AlignAce installed on the same machine, you can also run it directly from Biopython. A short example of how this can be done is shown below (other parameters can be specified as keyword parameters):

    >>> command="/opt/bin/AlignACE"
    >>> input_file="test.fa"
    >>> from Bio.motifs.applications import AlignAceCommandline
    >>> cmd = AlignAceCommandline(cmd=command, input=input_file, gcback=0.6, numcols=10)
    >>> stdout, stderr= cmd()

Since AlignAce prints all of its output to standard output, you can get to your motifs by parsing the first part of the result:

    >>> motifs = motifs.parse(stdout, "alignace")

## 13.10 Useful links

- Sequence motif in wikipedia
- PWM in wikipedia
- Consensus sequence in wikipedia
- Comparison of different motif finding programs

# Chapter 14 Cluster analysis

Cluster analysis is the grouping of items into clusters based on the similarity of the items to each other. In bioinformatics, clustering is widely used in gene expression data analysis to find groups of genes with similar gene expression profiles. This may identify functionally related genes, as well as suggest the function of presently unknown genes.

The Biopython module `Bio.Cluster` provides commonly used clustering algorithms and was designed with the application to gene expression data in mind. However, this module can also be used for cluster analysis of other types of data. `Bio.Cluster` and the underlying C Clustering Library is described by De Hoon et al. [14].

The following four clustering approaches are implemented in `Bio.Cluster`:

- Hierarchical clustering (pairwise centroid-, single-, complete-, and average-linkage);
- k-means, k-medians, and k-medoids clustering;
- Self-Organizing Maps;
- Principal Component Analysis.

### Data representation

The data to be clustered are represented by a n × m Numerical Python array `data`. Within the context of gene expression data clustering, typically the rows correspond to different genes whereas the columns correspond to different experimental conditions. The clustering algorithms in `Bio.Cluster` can be applied both to rows (genes) and to columns (experiments).

### Missing values

Often in microarray experiments, some of the data values are missing, which is indicated by an additional n × m Numerical Python integer array `mask`. If `mask[i,j]==0`, then `data[i,j]` is missing and is ignored in the analysis.

### Random number generator

The k-means/medians/medoids clustering algorithms and Self-Organizing Maps (SOMs) include the use of a random number generator. The uniform random number generator in `Bio.Cluster` is based on the algorithm by L’Ecuyer [25], while random numbers following the binomial distribution are generated using the BTPE algorithm by Kachitvichyanukul and Schmeiser [23]. The random number generator is initialized automatically during its first call. As this random number generator uses a combination of two multiplicative linear congruential generators, two (integer) seeds are needed for initialization, for which we use the system-supplied random number generator `rand` (in the C standard library). We initialize this generator by calling `srand` with the epoch time in seconds, and use the first two random numbers generated by `rand` as seeds for the uniform random number generator in `Bio.Cluster`.

## 14.1 Distance functions

In order to cluster items into groups based on their similarity, we should first define what exactly we mean by similar. `Bio.Cluster` provides eight distance functions, indicated by a single character, to measure similarity, or conversely, distance:

- `'e'`: Euclidean distance;
- `'b'`: City-block distance.
- `'c'`: Pearson correlation coefficient;
- `'a'`: Absolute value of the Pearson correlation coefficient;
- `'u'`: Uncentered Pearson correlation (equivalent to the cosine of the angle between two data vectors);
- `'x'`: Absolute uncentered Pearson correlation;
- `'s'`: Spearman’s rank correlation;
- `'k'`: Kendall’s τ.

The first two are true distance functions that satisfy the triangle inequality:

d | ⎛ ⎜ ⎝ |
u
| , |
v
| ⎞ ⎟ ⎠ | ≤ d | ⎛ ⎜ ⎝ |
u
| , |
w
| ⎞ ⎟ ⎠ | + d | ⎛ ⎜ ⎝ |
w
| , |
v
| ⎞ ⎟ ⎠ | for all |
u
| , |
v
| , |
w
| ,

and are therefore refered to as metrics. In everyday language, this means that the shortest distance between two points is a straight line.

The remaining six distance measures are related to the correlation coefficient, where the distance d is defined in terms of the correlation r by d=1−r. Note that these distance functions are semi-metrics that do not satisfy the triangle inequality. For example, for

u
| = | ⎛ ⎝ | 1,0,−1 | ⎞ ⎠ | ;

v
| = | ⎛ ⎝ | 1,1,0 | ⎞ ⎠ | ;

w
| = | ⎛ ⎝ | 0,1,1 | ⎞ ⎠ | ;

we find a Pearson distance d(u,w) = 1.8660, while d(u,v)+d(v,w) = 1.6340.

### Euclidean distance

In `Bio.Cluster`, we define the Euclidean distance as

d = |
1
n
n
∑
i=1
|  | ⎛ ⎝ | xi−yi | ⎞ ⎠ | 2.

Only those terms are included in the summation for which both xi and yi are present, and the denominator n is chosen accordingly. As the expression data xi and yi are subtracted directly from each other, we should make sure that the expression data are properly normalized when using the Euclidean distance.

### City-block distance

The city-block distance, alternatively known as the Manhattan distance, is related to the Euclidean distance. Whereas the Euclidean distance corresponds to the length of the shortest path between two points, the city-block distance is the sum of distances along each dimension. As gene expression data tend to have missing values, in `Bio.Cluster` we define the city-block distance as the sum of distances divided by the number of dimensions:

d = |
1
n
n
∑
i=1
|  | ⎪ ⎪ | xi−yi | ⎪ ⎪ | .

This is equal to the distance you would have to walk between two points in a city, where you have to walk along city blocks. As for the Euclidean distance, the expression data are subtracted directly from each other, and we should therefore make sure that they are properly normalized.

### The Pearson correlation coefficient

The Pearson correlation coefficient is defined as

r = |
1
n
n
∑
i=1
|  | ⎛ ⎜ ⎜ ⎝ |
xi −x
σx
|  | ⎞ ⎟ ⎟ ⎠ | ⎛ ⎜ ⎜ ⎝ |
yi −ȳ
σy
|  | ⎞ ⎟ ⎟ ⎠ | ,

in which x, ȳ are the sample mean of x and y respectively, and σx, σy are the sample standard deviation of x and y. The Pearson correlation coefficient is a measure for how well a straight line can be fitted to a scatterplot of x and y. If all the points in the scatterplot lie on a straight line, the Pearson correlation coefficient is either +1 or -1, depending on whether the slope of line is positive or negative. If the Pearson correlation coefficient is equal to zero, there is no correlation between x and y.

The Pearson distance is then defined as

dP ≡ 1 − r.

As the Pearson correlation coefficient lies between -1 and 1, the Pearson distance lies between 0 and 2.

### Absolute Pearson correlation

By taking the absolute value of the Pearson correlation, we find a number between 0 and 1. If the absolute value is 1, all the points in the scatter plot lie on a straight line with either a positive or a negative slope. If the absolute value is equal to zero, there is no correlation between x and y.

The corresponding distance is defined as

dA ≡ 1 − | ⎪ ⎪ | r | ⎪ ⎪ | ,

where r is the Pearson correlation coefficient. As the absolute value of the Pearson correlation coefficient lies between 0 and 1, the corresponding distance lies between 0 and 1 as well.

In the context of gene expression experiments, the absolute correlation is equal to 1 if the gene expression profiles of two genes are either exactly the same or exactly opposite. The absolute correlation coefficient should therefore be used with care.

### Uncentered correlation (cosine of the angle)

In some cases, it may be preferable to use the uncentered correlation instead of the regular Pearson correlation coefficient. The uncentered correlation is defined as

rU = |
1
n
n
∑
i=1
|  | ⎛ ⎜ ⎜ ⎝ |
xi
σx(0)
|  | ⎞ ⎟ ⎟ ⎠ | ⎛ ⎜ ⎜ ⎝ |
yi
σy(0)
|  | ⎞ ⎟ ⎟ ⎠ | ,

where

σx(0) | = |
√
1
n
n
∑
i=1
| xi2
| ;
σy(0) | = |
√
1
n
n
∑
i=1
| yi2
| .

This is the same expression as for the regular Pearson correlation coefficient, except that the sample means x, ȳ are set equal to zero. The uncentered correlation may be appropriate if there is a zero reference state. For instance, in the case of gene expression data given in terms of log-ratios, a log-ratio equal to zero corresponds to the green and red signal being equal, which means that the experimental manipulation did not affect the gene expression.

The distance corresponding to the uncentered correlation coefficient is defined as

dU ≡ 1 − rU,

where rU is the uncentered correlation. As the uncentered correlation coefficient lies between -1 and 1, the corresponding distance lies between 0 and 2.

The uncentered correlation is equal to the cosine of the angle of the two data vectors in n-dimensional space, and is often referred to as such.

### Absolute uncentered correlation

As for the regular Pearson correlation, we can define a distance measure using the absolute value of the uncentered correlation:

dAU ≡ 1 − | ⎪ ⎪ | rU | ⎪ ⎪ | ,

where rU is the uncentered correlation coefficient. As the absolute value of the uncentered correlation coefficient lies between 0 and 1, the corresponding distance lies between 0 and 1 as well.

Geometrically, the absolute value of the uncentered correlation is equal to the cosine between the supporting lines of the two data vectors (i.e., the angle without taking the direction of the vectors into consideration).

### Spearman rank correlation

The Spearman rank correlation is an example of a non-parametric similarity measure, and tends to be more robust against outliers than the Pearson correlation.

To calculate the Spearman rank correlation, we replace each data value by their rank if we would order the data in each vector by their value. We then calculate the Pearson correlation between the two rank vectors instead of the data vectors.

As in the case of the Pearson correlation, we can define a distance measure corresponding to the Spearman rank correlation as

dS ≡ 1 − rS,

where rS is the Spearman rank correlation.

### Kendall’s τ

Kendall’s τ is another example of a non-parametric similarity measure. It is similar to the Spearman rank correlation, but instead of the ranks themselves only the relative ranks are used to calculate τ (see Snedecor & Cochran [29]).

We can define a distance measure corresponding to Kendall’s τ as

dK ≡ 1 − τ.

As Kendall’s τ is always between -1 and 1, the corresponding distance will be between 0 and 2.

### Weighting

For most of the distance functions available in `Bio.Cluster`, a weight vector can be applied. The weight vector contains weights for the items in the data vector. If the weight for item i is wi, then that item is treated as if it occurred wi times in the data. The weight do not have to be integers. For the Spearman rank correlation and Kendall’s τ, weights do not have a well-defined meaning and are therefore not implemented.

### Calculating the distance matrix

The distance matrix is a square matrix with all pairwise distances between the items in `data`, and can be calculated by the function `distancematrix` in the `Bio.Cluster` module:

    >>> from Bio.Cluster import distancematrix
    >>> matrix = distancematrix(data)

where the following arguments are defined:

- `data` (required)
  Array containing the data for the items.
- `mask` (default: `None`)
  Array of integers showing which data are missing. If `mask[i,j]==0`, then `data[i,j]` is missing. If `mask==None`, then all data are present.
- `weight` (default: `None`)
  The weights to be used when calculating distances. If `weight==None`, then equal weights are assumed.
- `transpose` (default: `0`)
  Determines if the distances between the rows of `data` are to be calculated (`transpose==0`), or between the columns of `data` (`transpose==1`).
- `dist` (default: `'e'`, Euclidean distance)
  Defines the distance function to be used (see 14.1).

To save memory, the distance matrix is returned as a list of 1D arrays. The number of columns in each row is equal to the row number. Hence, the first row has zero elements. An example of the return value is

    [array([]),
     array([1.]),
     array([7., 3.]),
     array([4., 2., 6.])]

This corresponds to the distance matrix

⎛ ⎜ ⎜ ⎜ ⎝ |  |
0 | 1 | 7 | 4
1 | 0 | 3 | 2
7 | 3 | 0 | 6
4 | 2 | 6 | 0
|  | ⎞ ⎟ ⎟ ⎟ ⎠ | .

## 14.2 Calculating cluster properties

### Calculating the cluster centroids

The centroid of a cluster can be defined either as the mean or as the median of each dimension over all cluster items. The function `clustercentroids` in `Bio.Cluster` can be used to calculate either:

    >>> from Bio.Cluster import clustercentroids
    >>> cdata, cmask = clustercentroids(data)

where the following arguments are defined:

- `data` (required)
  Array containing the data for the items.
- `mask` (default: `None`)
  Array of integers showing which data are missing. If `mask[i,j]==0`, then `data[i,j]` is missing. If `mask==None`, then all data are present.
- `clusterid` (default: `None`)
  Vector of integers showing to which cluster each item belongs. If `clusterid` is `None`, then all items are assumed to belong to the same cluster.
- `method` (default: `'a'`)
  Specifies whether the arithmetic mean (`method=='a'`) or the median (`method=='m'`) is used to calculate the cluster center.
- `transpose` (default: `0`)
  Determines if the centroids of the rows of `data` are to be calculated (`transpose==0`), or the centroids of the columns of `data` (`transpose==1`).

This function returns the tuple `(cdata, cmask)`. The centroid data are stored in the 2D Numerical Python array `cdata`, with missing data indicated by the 2D Numerical Python integer array `cmask`. The dimensions of these arrays are (number of clusters, number of columns) if `transpose` is `0`, or (number of rows, number of clusters) if `transpose` is `1`. Each row (if `transpose` is `0`) or column (if `transpose` is `1`) contains the averaged data corresponding to the centroid of each cluster.

### Calculating the distance between clusters

Given a distance function between items, we can define the distance between two clusters in several ways. The distance between the arithmetic means of the two clusters is used in pairwise centroid-linkage clustering and in k-means clustering. In k-medoids clustering, the distance between the medians of the two clusters is used instead. The shortest pairwise distance between items of the two clusters is used in pairwise single-linkage clustering, while the longest pairwise distance is used in pairwise maximum-linkage clustering. In pairwise average-linkage clustering, the distance between two clusters is defined as the average over the pairwise distances.

To calculate the distance between two clusters, use

    >>> from Bio.Cluster import clusterdistance
    >>> distance = clusterdistance(data)

where the following arguments are defined:

- `data` (required)
  Array containing the data for the items.
- `mask` (default: `None`)
  Array of integers showing which data are missing. If `mask[i,j]==0`, then `data[i,j]` is missing. If `mask==None`, then all data are present.
- `weight` (default: `None`)
  The weights to be used when calculating distances. If `weight==None`, then equal weights are assumed.
- `index1` (default: `0`)
  A list containing the indices of the items belonging to the first cluster. A cluster containing only one item i can be represented either as a list `[i]`, or as an integer `i`.
- `index2` (default: `0`)
  A list containing the indices of the items belonging to the second cluster. A cluster containing only one items i can be represented either as a list `[i]`, or as an integer `i`.
- `method` (default: `'a'`)
  Specifies how the distance between clusters is defined:
  - `'a'`: Distance between the two cluster centroids (arithmetic mean);
  - `'m'`: Distance between the two cluster centroids (median);
  - `'s'`: Shortest pairwise distance between items in the two clusters;
  - `'x'`: Longest pairwise distance between items in the two clusters;
  - `'v'`: Average over the pairwise distances between items in the two clusters.
- `dist` (default: `'e'`, Euclidean distance)
  Defines the distance function to be used (see 14.1).
- `transpose` (default: `0`)
  If `transpose==0`, calculate the distance between the rows of `data`. If `transpose==1`, calculate the distance between the columns of `data`.

## 14.3 Partitioning algorithms

Partitioning algorithms divide items into k clusters such that the sum of distances over the items to their cluster centers is minimal. The number of clusters k is specified by the user. Three partitioning algorithms are available in `Bio.Cluster`:

- k-means clustering
- k-medians clustering
- k-medoids clustering

These algorithms differ in how the cluster center is defined. In k-means clustering, the cluster center is defined as the mean data vector averaged over all items in the cluster. Instead of the mean, in k-medians clustering the median is calculated for each dimension in the data vector. Finally, in k-medoids clustering the cluster center is defined as the item which has the smallest sum of distances to the other items in the cluster. This clustering algorithm is suitable for cases in which the distance matrix is known but the original data matrix is not available, for example when clustering proteins based on their structural similarity.

The expectation-maximization (EM) algorithm is used to find this partitioning into k groups. In the initialization of the EM algorithm, we randomly assign items to clusters. To ensure that no empty clusters are produced, we use the binomial distribution to randomly choose the number of items in each cluster to be one or more. We then randomly permute the cluster assignments to items such that each item has an equal probability to be in any cluster. Each cluster is thus guaranteed to contain at least one item.

We then iterate:

- Calculate the centroid of each cluster, defined as either the mean, the median, or the medoid of the cluster;
- Calculate the distances of each item to the cluster centers;
- For each item, determine which cluster centroid is closest;
- Reassign each item to its closest cluster, or stop the iteration if no further item reassignments take place.

To avoid clusters becoming empty during the iteration, in k-means and k-medians clustering the algorithm keeps track of the number of items in each cluster, and prohibits the last remaining item in a cluster from being reassigned to a different cluster. For k-medoids clustering, such a check is not needed, as the item that functions as the cluster centroid has a zero distance to itself, and will therefore never be closer to a different cluster.

As the initial assignment of items to clusters is done randomly, usually a different clustering solution is found each time the EM algorithm is executed. To find the optimal clustering solution, the k-means algorithm is repeated many times, each time starting from a different initial random clustering. The sum of distances of the items to their cluster center is saved for each run, and the solution with the smallest value of this sum will be returned as the overall clustering solution.

How often the EM algorithm should be run depends on the number of items being clustered. As a rule of thumb, we can consider how often the optimal solution was found; this number is returned by the partitioning algorithms as implemented in this library. If the optimal solution was found many times, it is unlikely that better solutions exist than the one that was found. However, if the optimal solution was found only once, there may well be other solutions with a smaller within-cluster sum of distances. If the number of items is large (more than several hundreds), it may be difficult to find the globally optimal solution.

The EM algorithm terminates when no further reassignments take place. We noticed that for some sets of initial cluster assignments, the EM algorithm fails to converge due to the same clustering solution reappearing periodically after a small number of iteration steps. We therefore check for the occurrence of such periodic solutions during the iteration. After a given number of iteration steps, the current clustering result is saved as a reference. By comparing the clustering result after each subsequent iteration step to the reference state, we can determine if a previously encountered clustering result is found. In such a case, the iteration is halted. If after a given number of iterations the reference state has not yet been encountered, the current clustering solution is saved to be used as the new reference state. Initially, ten iteration steps are executed before resaving the reference state. This number of iteration steps is doubled each time, to ensure that periodic behavior with longer periods can also be detected.

### k-means and k-medians

The k-means and k-medians algorithms are implemented as the function `kcluster` in `Bio.Cluster`:

    >>> from Bio.Cluster import kcluster
    >>> clusterid, error, nfound = kcluster(data)

where the following arguments are defined:

- `data` (required)
  Array containing the data for the items.
- `nclusters` (default: `2`)
  The number of clusters k.
- `mask` (default: `None`)
  Array of integers showing which data are missing. If `mask[i,j]==0`, then `data[i,j]` is missing. If `mask==None`, then all data are present.
- `weight` (default: `None`)
  The weights to be used when calculating distances. If `weight==None`, then equal weights are assumed.
- `transpose` (default: `0`)
  Determines if rows (`transpose` is `0`) or columns (`transpose` is `1`) are to be clustered.
- `npass` (default: `1`)
  The number of times the k-means/-medians clustering algorithm is performed, each time with a different (random) initial condition. If `initialid` is given, the value of `npass` is ignored and the clustering algorithm is run only once, as it behaves deterministically in that case.
- `method` (default: `a`)
  describes how the center of a cluster is found:
  - `method=='a'`: arithmetic mean (k-means clustering);
  - `method=='m'`: median (k-medians clustering).
  For other values of `method`, the arithmetic mean is used.
- `dist` (default: `'e'`, Euclidean distance)
  Defines the distance function to be used (see 14.1). Whereas all eight distance measures are accepted by `kcluster`, from a theoretical viewpoint it is best to use the Euclidean distance for the k-means algorithm, and the city-block distance for k-medians.
- `initialid` (default: `None`)
  Specifies the initial clustering to be used for the EM algorithm. If `initialid==None`, then a different random initial clustering is used for each of the `npass` runs of the EM algorithm. If `initialid` is not `None`, then it should be equal to a 1D array containing the cluster number (between `0` and `nclusters-1`) for each item. Each cluster should contain at least one item. With the initial clustering specified, the EM algorithm is deterministic.

This function returns a tuple `(clusterid, error, nfound)`, where `clusterid` is an integer array containing the number of the cluster to which each row or cluster was assigned, `error` is the within-cluster sum of distances for the optimal clustering solution, and `nfound` is the number of times this optimal solution was found.

### k-medoids clustering

The `kmedoids` routine performs k-medoids clustering on a given set of items, using the distance matrix and the number of clusters passed by the user:

    >>> from Bio.Cluster import kmedoids
    >>> clusterid, error, nfound = kmedoids(distance)

where the following arguments are defined: , nclusters=2, npass=1, initialid=None)|

- `distance` (required)
  The matrix containing the distances between the items; this matrix can be specified in three ways:
  - as a 2D Numerical Python array (in which only the left-lower part of the array will be accessed):

        distance = array([[0.0, 1.1, 2.3],
                          [1.1, 0.0, 4.5],
                          [2.3, 4.5, 0.0]])

  - as a 1D Numerical Python array containing consecutively the distances in the left-lower part of the distance matrix:

        distance = array([1.1, 2.3, 4.5])

  - as a list containing the rows of the left-lower part of the distance matrix:

        distance = [array([]|,
                    array([1.1]),
                    array([2.3, 4.5])
                   ]

  These three expressions correspond to the same distance matrix.
- `nclusters` (default: `2`)
  The number of clusters k.
- `npass` (default: `1`)
  The number of times the k-medoids clustering algorithm is performed, each time with a different (random) initial condition. If `initialid` is given, the value of `npass` is ignored, as the clustering algorithm behaves deterministically in that case.
- `initialid` (default: `None`)
  Specifies the initial clustering to be used for the EM algorithm. If `initialid==None`, then a different random initial clustering is used for each of the `npass` runs of the EM algorithm. If `initialid` is not `None`, then it should be equal to a 1D array containing the cluster number (between `0` and `nclusters-1`) for each item. Each cluster should contain at least one item. With the initial clustering specified, the EM algorithm is deterministic.

This function returns a tuple `(clusterid, error, nfound)`, where `clusterid` is an array containing the number of the cluster to which each item was assigned, `error` is the within-cluster sum of distances for the optimal k-medoids clustering solution, and `nfound` is the number of times the optimal solution was found. Note that the cluster number in `clusterid` is defined as the item number of the item representing the cluster centroid.

## 14.4 Hierarchical clustering

Hierarchical clustering methods are inherently different from the k-means clustering method. In hierarchical clustering, the similarity in the expression profile between genes or experimental conditions are represented in the form of a tree structure. This tree structure can be shown graphically by programs such as Treeview and Java Treeview, which has contributed to the popularity of hierarchical clustering in the analysis of gene expression data.

The first step in hierarchical clustering is to calculate the distance matrix, specifying all the distances between the items to be clustered. Next, we create a node by joining the two closest items. Subsequent nodes are created by pairwise joining of items or nodes based on the distance between them, until all items belong to the same node. A tree structure can then be created by retracing which items and nodes were merged. Unlike the EM algorithm, which is used in k-means clustering, the complete process of hierarchical clustering is deterministic.

Several flavors of hierarchical clustering exist, which differ in how the distance between subnodes is defined in terms of their members. In `Bio.Cluster`, pairwise single, maximum, average, and centroid linkage are available.

- In pairwise single-linkage clustering, the distance between two nodes is defined as the shortest distance among the pairwise distances between the members of the two nodes.
- In pairwise maximum-linkage clustering, alternatively known as pairwise complete-linkage clustering, the distance between two nodes is defined as the longest distance among the pairwise distances between the members of the two nodes.
- In pairwise average-linkage clustering, the distance between two nodes is defined as the average over all pairwise distances between the items of the two nodes.
- In pairwise centroid-linkage clustering, the distance between two nodes is defined as the distance between their centroids. The centroids are calculated by taking the mean over all the items in a cluster. As the distance from each newly formed node to existing nodes and items need to be calculated at each step, the computing time of pairwise centroid-linkage clustering may be significantly longer than for the other hierarchical clustering methods. Another peculiarity is that (for a distance measure based on the Pearson correlation), the distances do not necessarily increase when going up in the clustering tree, and may even decrease. This is caused by an inconsistency between the centroid calculation and the distance calculation when using the Pearson correlation: Whereas the Pearson correlation effectively normalizes the data for the distance calculation, no such normalization occurs for the centroid calculation.

For pairwise single-, complete-, and average-linkage clustering, the distance between two nodes can be found directly from the distances between the individual items. Therefore, the clustering algorithm does not need access to the original gene expression data, once the distance matrix is known. For pairwise centroid-linkage clustering, however, the centroids of newly formed subnodes can only be calculated from the original data and not from the distance matrix.

The implementation of pairwise single-linkage hierarchical clustering is based on the SLINK algorithm (R. Sibson, 1973), which is much faster and more memory-efficient than a straightforward implementation of pairwise single-linkage clustering. The clustering result produced by this algorithm is identical to the clustering solution found by the conventional single-linkage algorithm. The single-linkage hierarchical clustering algorithm implemented in this library can be used to cluster large gene expression data sets, for which conventional hierarchical clustering algorithms fail due to excessive memory requirements and running time.

### Representing a hierarchical clustering solution

The result of hierarchical clustering consists of a tree of nodes, in which each node joins two items or subnodes. Usually, we are not only interested in which items or subnodes are joined at each node, but also in their similarity (or distance) as they are joined. To store one node in the hierarchical clustering tree, we make use of the class `Node`, which defined in `Bio.Cluster`. An instance of `Node` has three attributes:

- `left`
- `right`
- `distance`

Here, `left` and `right` are integers referring to the two items or subnodes that are joined at this node, and `distance` is the distance between them. The items being clustered are numbered from 0 to (number of items − 1), while clusters are numbered from -1 to −(number of items−1). Note that the number of nodes is one less than the number of items.

To create a new `Node` object, we need to specify `left` and `right`; `distance` is optional.

    >>> from Bio.Cluster import Node
    >>> Node(2, 3)
    (2, 3): 0
    >>> Node(2, 3, 0.91)
    (2, 3): 0.91

The attributes `left`, `right`, and `distance` of an existing `Node` object can be modified directly:

    >>> node = Node(4, 5)
    >>> node.left = 6
    >>> node.right = 2
    >>> node.distance = 0.73
    >>> node
    (6, 2): 0.73

An error is raised if `left` and `right` are not integers, or if `distance` cannot be converted to a floating-point value.

The Python class `Tree` represents a full hierarchical clustering solution. A `Tree` object can be created from a list of `Node` objects:

    >>> from Bio.Cluster import Node, Tree
    >>> nodes = [Node(1, 2, 0.2), Node(0, 3, 0.5), Node(-2, 4, 0.6), Node(-1, -3, 0.9)]
    >>> tree = Tree(nodes)
    >>> print(tree)
    (1, 2): 0.2
    (0, 3): 0.5
    (-2, 4): 0.6
    (-1, -3): 0.9

The `Tree` initializer checks if the list of nodes is a valid hierarchical clustering result:

    >>> nodes = [Node(1, 2, 0.2), Node(0, 2, 0.5)]
    >>> Tree(nodes)
    Traceback (most recent call last):
      File "<stdin>", line 1, in ?
    ValueError: Inconsistent tree

Individual nodes in a `Tree` object can be accessed using square brackets:

    >>> nodes = [Node(1, 2, 0.2), Node(0, -1, 0.5)]
    >>> tree = Tree(nodes)
    >>> tree[0]
    (1, 2): 0.2
    >>> tree[1]
    (0, -1): 0.5
    >>> tree[-1]
    (0, -1): 0.5

As a `Tree` object is read-only, we cannot change individual nodes in a `Tree` object. However, we can convert the tree to a list of nodes, modify this list, and create a new tree from this list:

    >>> tree = Tree([Node(1, 2, 0.1), Node(0, -1, 0.5), Node(-2, 3, 0.9)])
    >>> print(tree)
    (1, 2): 0.1
    (0, -1): 0.5
    (-2, 3): 0.9
    >>> nodes = tree[:]
    >>> nodes[0] = Node(0, 1, 0.2)
    >>> nodes[1].left = 2
    >>> tree = Tree(nodes)
    >>> print(tree)
    (0, 1): 0.2
    (2, -1): 0.5
    (-2, 3): 0.9

This guarantees that any `Tree` object is always well-formed.

To display a hierarchical clustering solution with visualization programs such as Java Treeview, it is better to scale all node distances such that they are between zero and one. This can be accomplished by calling the `scale` method on an existing `Tree` object:

    >>> tree.scale()

This method takes no arguments, and returns `None`.

After hierarchical clustering, the items can be grouped into k clusters based on the tree structure stored in the `Tree` object by cutting the tree:

    >>> clusterid = tree.cut(nclusters=1)

where `nclusters` (defaulting to `1`) is the desired number of clusters k. This method ignores the top k−1 linking events in the tree structure, resulting in k separated clusters of items. The number of clusters k should be positive, and less than or equal to the number of items. This method returns an array `clusterid` containing the number of the cluster to which each item is assigned.

### Performing hierarchical clustering

To perform hierarchical clustering, use the `treecluster` function in `Bio.Cluster`.

    >>> from Bio.Cluster import treecluster
    >>> tree = treecluster(data)

where the following arguments are defined:

- `data`
  Array containing the data for the items.
- `mask` (default: `None`)
  Array of integers showing which data are missing. If `mask[i,j]==0`, then `data[i,j]` is missing. If `mask==None`, then all data are present.
- `weight` (default: `None`)
  The weights to be used when calculating distances. If `weight==None`, then equal weights are assumed.
- `transpose` (default: `0`)
  Determines if rows (`transpose==0`) or columns (`transpose==1`) are to be clustered.
- `method` (default: `'m'`)
  defines the linkage method to be used:
  - `method=='s'`: pairwise single-linkage clustering
  - `method=='m'`: pairwise maximum- (or complete-) linkage clustering
  - `method=='c'`: pairwise centroid-linkage clustering
  - `method=='a'`: pairwise average-linkage clustering
- `dist` (default: `'e'`, Euclidean distance)
  Defines the distance function to be used (see 14.1).

To apply hierarchical clustering on a precalculated distance matrix, specify the `distancematrix` argument when calling `treecluster` function instead of the `data` argument:

    >>> from Bio.Cluster import treecluster
    >>> tree = treecluster(distancematrix=distance)

In this case, the following arguments are defined:

- `distancematrix`
  The distance matrix, which can be specified in three ways:
  - as a 2D Numerical Python array (in which only the left-lower part of the array will be accessed):

        distance = array([[0.0, 1.1, 2.3],
                          [1.1, 0.0, 4.5],
                          [2.3, 4.5, 0.0]])

  - as a 1D Numerical Python array containing consecutively the distances in the left-lower part of the distance matrix:

        distance = array([1.1, 2.3, 4.5])

  - as a list containing the rows of the left-lower part of the distance matrix:

        distance = [array([]),
                    array([1.1]),
                    array([2.3, 4.5])

  These three expressions correspond to the same distance matrix. As `treecluster` may shuffle the values in the distance matrix as part of the clustering algorithm, be sure to save this array in a different variable before calling `treecluster` if you need it later.
- `method`
  The linkage method to be used:
  - `method=='s'`: pairwise single-linkage clustering
  - `method=='m'`: pairwise maximum- (or complete-) linkage clustering
  - `method=='a'`: pairwise average-linkage clustering
  While pairwise single-, maximum-, and average-linkage clustering can be calculated from the distance matrix alone, pairwise centroid-linkage cannot.

When calling `treecluster`, either `data` or `distancematrix` should be `None`.

This function returns a `Tree` object. This object contains (number of items − 1) nodes, where the number of items is the number of rows if rows were clustered, or the number of columns if columns were clustered. Each node describes a pairwise linking event, where the node attributes `left` and `right` each contain the number of one item or subnode, and `distance` the distance between them. Items are numbered from 0 to (number of items − 1), while clusters are numbered -1 to −(number of items−1).

## 14.5 Self-Organizing Maps

Self-Organizing Maps (SOMs) were invented by Kohonen to describe neural networks (see for instance Kohonen, 1997 [24]). Tamayo (1999) first applied Self-Organizing Maps to gene expression data [30].

SOMs organize items into clusters that are situated in some topology. Usually a rectangular topology is chosen. The clusters generated by SOMs are such that neighboring clusters in the topology are more similar to each other than clusters far from each other in the topology.

The first step to calculate a SOM is to randomly assign a data vector to each cluster in the topology. If rows are being clustered, then the number of elements in each data vector is equal to the number of columns.

An SOM is then generated by taking rows one at a time, and finding which cluster in the topology has the closest data vector. The data vector of that cluster, as well as those of the neighboring clusters, are adjusted using the data vector of the row under consideration. The adjustment is given by

Δ |
x
| cell = τ · | ⎛ ⎜ ⎝ |
x
| row − |
x
| cell | ⎞ ⎟ ⎠ | .

The parameter τ is a parameter that decreases at each iteration step. We have used a simple linear function of the iteration step:

τ = τinit · | ⎛ ⎜ ⎜ ⎝ | 1 − |
i
n
| ⎞ ⎟ ⎟ ⎠ | ,

τinit is the initial value of τ as specified by the user, i is the number of the current iteration step, and n is the total number of iteration steps to be performed. While changes are made rapidly in the beginning of the iteration, at the end of iteration only small changes are made.

All clusters within a radius R are adjusted to the gene under consideration. This radius decreases as the calculation progresses as

R = Rmax · | ⎛ ⎜ ⎜ ⎝ | 1 − |
i
n
| ⎞ ⎟ ⎟ ⎠ | ,

in which the maximum radius is defined as

Rmax = | √ |
Nx2 + Ny2
| ,

where (Nx, Ny) are the dimensions of the rectangle defining the topology.

The function `somcluster` implements the complete algorithm to calculate a Self-Organizing Map on a rectangular grid. First it initializes the random number generator. The node data are then initialized using the random number generator. The order in which genes or microarrays are used to modify the SOM is also randomized. The total number of iterations in the SOM algorithm is specified by the user.

To run `somcluster`, use

    >>> from Bio.Cluster import somcluster
    >>> clusterid, celldata = somcluster(data)

where the following arguments are defined:

- `data` (required)
  Array containing the data for the items.
- `mask` (default: `None`)
  Array of integers showing which data are missing. If `mask[i,j]==0`, then `data[i,j]` is missing. If `mask==None`, then all data are present.
- `weight` (default: `None`)
  contains the weights to be used when calculating distances. If `weight==None`, then equal weights are assumed.
- `transpose` (default: `0`)
  Determines if rows (`transpose` is `0`) or columns (`transpose` is `1`) are to be clustered.
- `nxgrid, nygrid` (default: `2, 1`)
  The number of cells horizontally and vertically in the rectangular grid on which the Self-Organizing Map is calculated.
- `inittau` (default: `0.02`)
  The initial value for the parameter τ that is used in the SOM algorithm. The default value for `inittau` is 0.02, which was used in Michael Eisen’s Cluster/TreeView program.
- `niter` (default: `1`)
  The number of iterations to be performed.
- `dist` (default: `'e'`, Euclidean distance)
  Defines the distance function to be used (see 14.1).

This function returns the tuple `(clusterid, celldata)`:

- `clusterid`:
  An array with two columns, where the number of rows is equal to the number of items that were clustered. Each row contains the x and y coordinates of the cell in the rectangular SOM grid to which the item was assigned.
- `celldata`:
  An array with dimensions (`nxgrid`, `nygrid`, number of columns) if rows are being clustered, or (`nxgrid`, `nygrid`, number of rows) if columns are being clustered. Each element `[ix][iy]` of this array is a 1D vector containing the gene expression data for the centroid of the cluster in the grid cell with coordinates `[ix][iy]`.

## 14.6 Principal Component Analysis

Principal Component Analysis (PCA) is a widely used technique for analyzing multivariate data. A practical example of applying Principal Component Analysis to gene expression data is presented by Yeung and Ruzzo (2001) [33].

In essence, PCA is a coordinate transformation in which each row in the data matrix is written as a linear sum over basis vectors called principal components, which are ordered and chosen such that each maximally explains the remaining variance in the data vectors. For example, an n × 3 data matrix can be represented as an ellipsoidal cloud of n points in three dimensional space. The first principal component is the longest axis of the ellipsoid, the second principal component the second longest axis of the ellipsoid, and the third principal component is the shortest axis. Each row in the data matrix can be reconstructed as a suitable linear combination of the principal components. However, in order to reduce the dimensionality of the data, usually only the most important principal components are retained. The remaining variance present in the data is then regarded as unexplained variance.

The principal components can be found by calculating the eigenvectors of the covariance matrix of the data. The corresponding eigenvalues determine how much of the variance present in the data is explained by each principal component.

Before applying principal component analysis, typically the mean is subtracted from each column in the data matrix. In the example above, this effectively centers the ellipsoidal cloud around its centroid in 3D space, with the principal components describing the variation of points in the ellipsoidal cloud with respect to their centroid.

The function `pca` below first uses the singular value decomposition to calculate the eigenvalues and eigenvectors of the data matrix. The singular value decomposition is implemented as a translation in C of the Algol procedure `svd` [16], which uses Householder bidiagonalization and a variant of the QR algorithm. The principal components, the coordinates of each data vector along the principal components, and the eigenvalues corresponding to the principal components are then evaluated and returned in decreasing order of the magnitude of the eigenvalue. If data centering is desired, the mean should be subtracted from each column in the data matrix before calling the `pca` routine.

To apply Principal Component Analysis to a rectangular matrix `data`, use

    >>> from Bio.Cluster import pca
    >>> columnmean, coordinates, components, eigenvalues = pca(data)

This function returns a tuple `columnmean, coordinates, components, eigenvalues`:

- `columnmean`
  Array containing the mean over each column in `data`.
- `coordinates`
  The coordinates of each row in `data` with respect to the principal components.
- `components`
  The principal components.
- `eigenvalues`
  The eigenvalues corresponding to each of the principal components.

The original matrix `data` can be recreated by calculating `columnmean + dot(coordinates, components)`.

## 14.7 Handling Cluster/TreeView-type files

Cluster/TreeView are GUI-based codes for clustering gene expression data. They were originally written by Michael Eisen while at Stanford University. `Bio.Cluster` contains functions for reading and writing data files that correspond to the format specified for Cluster/TreeView. In particular, by saving a clustering result in that format, TreeView can be used to visualize the clustering results. We recommend using Alok Saldanha’s `http://jtreeview.sourceforge.net/`Java TreeView program, which can display hierarchical as well as k-means clustering results.

An object of the class `Record` contains all information stored in a Cluster/TreeView-type data file. To store the information contained in the data file in a `Record` object, we first open the file and then read it:

    >>> from Bio import Cluster
    >>> handle = open("mydatafile.txt")
    >>> record = Cluster.read(handle)
    >>> handle.close()

This two-step process gives you some flexibility in the source of the data. For example, you can use

    >>> import gzip # Python standard library
    >>> handle = gzip.open("mydatafile.txt.gz")

to open a gzipped file, or

    >>> import urllib # Python standard library
    >>> handle = urllib.urlopen("http://somewhere.org/mydatafile.txt")

to open a file stored on the Internet before calling `read`.

The `read` command reads the tab-delimited text file `mydatafile.txt` containing gene expression data in the format specified for Michael Eisen’s Cluster/TreeView program. For a description of this file format, see the manual to Cluster/TreeView. It is available at Michael Eisen’s lab website and at our website.

A `Record` object has the following attributes:

- `data`
  The data array containing the gene expression data. Genes are stored row-wise, while microarrays are stored column-wise.
- `mask`
  This array shows which elements in the `data` array, if any, are missing. If `mask[i,j]==0`, then `data[i,j]` is missing. If no data were found to be missing, `mask` is set to `None`.
- `geneid`
  This is a list containing a unique description for each gene (i.e., ORF numbers).
- `genename`
  This is a list containing a description for each gene (i.e., gene name). If not present in the data file, `genename` is set to `None`.
- `gweight`
  The weights that are to be used to calculate the distance in expression profile between genes. If not present in the data file, `gweight` is set to `None`.
- `gorder`
  The preferred order in which genes should be stored in an output file. If not present in the data file, `gorder` is set to `None`.
- `expid`
  This is a list containing a description of each microarray, e.g. experimental condition.
- `eweight`
  The weights that are to be used to calculate the distance in expression profile between microarrays. If not present in the data file, `eweight` is set to `None`.
- `eorder`
  The preferred order in which microarrays should be stored in an output file. If not present in the data file, `eorder` is set to `None`.
- `uniqid`
  The string that was used instead of UNIQID in the data file.

After loading a `Record` object, each of these attributes can be accessed and modified directly. For example, the data can be log-transformed by taking the logarithm of `record.data`.

### Calculating the distance matrix

To calculate the distance matrix between the items stored in the record, use

    >>> matrix = record.distancematrix()

where the following arguments are defined:

- `transpose` (default: `0`)
  Determines if the distances between the rows of `data` are to be calculated (`transpose==0`), or between the columns of `data` (`transpose==1`).
- `dist` (default: `'e'`, Euclidean distance)
  Defines the distance function to be used (see 14.1).

This function returns the distance matrix as a list of rows, where the number of columns of each row is equal to the row number (see section 14.1).

### Calculating the cluster centroids

To calculate the centroids of clusters of items stored in the record, use

    >>> cdata, cmask = record.clustercentroids()

- `clusterid` (default: `None`)
  Vector of integers showing to which cluster each item belongs. If `clusterid` is not given, then all items are assumed to belong to the same cluster.
- `method` (default: `'a'`)
  Specifies whether the arithmetic mean (`method=='a'`) or the median (`method=='m'`) is used to calculate the cluster center.
- `transpose` (default: `0`)
  Determines if the centroids of the rows of `data` are to be calculated (`transpose==0`), or the centroids of the columns of `data` (`transpose==1`).

This function returns the tuple `cdata, cmask`; see section 14.2 for a description.

### Calculating the distance between clusters

To calculate the distance between clusters of items stored in the record, use

    >>> distance = record.clusterdistance()

where the following arguments are defined:

- `index1` (default: `0`)
  A list containing the indices of the items belonging to the first cluster. A cluster containing only one item i can be represented either as a list `[i]`, or as an integer `i`.
- `index2` (default: `0`)
  A list containing the indices of the items belonging to the second cluster. A cluster containing only one item i can be represented either as a list `[i]`, or as an integer `i`.
- `method` (default: `'a'`)
  Specifies how the distance between clusters is defined:
  - `'a'`: Distance between the two cluster centroids (arithmetic mean);
  - `'m'`: Distance between the two cluster centroids (median);
  - `'s'`: Shortest pairwise distance between items in the two clusters;
  - `'x'`: Longest pairwise distance between items in the two clusters;
  - `'v'`: Average over the pairwise distances between items in the two clusters.
- `dist` (default: `'e'`, Euclidean distance)
  Defines the distance function to be used (see 14.1).
- `transpose` (default: `0`)
  If `transpose==0`, calculate the distance between the rows of `data`. If `transpose==1`, calculate the distance between the columns of `data`.

### Performing hierarchical clustering

To perform hierarchical clustering on the items stored in the record, use

    >>> tree = record.treecluster()

where the following arguments are defined:

- `transpose` (default: `0`)
  Determines if rows (`transpose==0`) or columns (`transpose==1`) are to be clustered.
- `method` (default: `'m'`)
  defines the linkage method to be used:
  - `method=='s'`: pairwise single-linkage clustering
  - `method=='m'`: pairwise maximum- (or complete-) linkage clustering
  - `method=='c'`: pairwise centroid-linkage clustering
  - `method=='a'`: pairwise average-linkage clustering
- `dist` (default: `'e'`, Euclidean distance)
  Defines the distance function to be used (see 14.1).
- `transpose`
  Determines if genes or microarrays are being clustered. If `transpose==0`, genes (rows) are being clustered. If `transpose==1`, microarrays (columns) are clustered.

This function returns a `Tree` object. This object contains (number of items − 1) nodes, where the number of items is the number of rows if rows were clustered, or the number of columns if columns were clustered. Each node describes a pairwise linking event, where the node attributes `left` and `right` each contain the number of one item or subnode, and `distance` the distance between them. Items are numbered from 0 to (number of items − 1), while clusters are numbered -1 to −(number of items−1).

### Performing k-means or k-medians clustering

To perform k-means or k-medians clustering on the items stored in the record, use

    >>> clusterid, error, nfound = record.kcluster()

where the following arguments are defined:

- `nclusters` (default: `2`)
  The number of clusters k.
- `transpose` (default: `0`)
  Determines if rows (`transpose` is `0`) or columns (`transpose` is `1`) are to be clustered.
- `npass` (default: `1`)
  The number of times the k-means/-medians clustering algorithm is performed, each time with a different (random) initial condition. If `initialid` is given, the value of `npass` is ignored and the clustering algorithm is run only once, as it behaves deterministically in that case.
- `method` (default: `a`)
  describes how the center of a cluster is found:
  - `method=='a'`: arithmetic mean (k-means clustering);
  - `method=='m'`: median (k-medians clustering).
  For other values of `method`, the arithmetic mean is used.
- `dist` (default: `'e'`, Euclidean distance)
  Defines the distance function to be used (see 14.1).

This function returns a tuple `(clusterid, error, nfound)`, where `clusterid` is an integer array containing the number of the cluster to which each row or cluster was assigned, `error` is the within-cluster sum of distances for the optimal clustering solution, and `nfound` is the number of times this optimal solution was found.

### Calculating a Self-Organizing Map

To calculate a Self-Organizing Map of the items stored in the record, use

    >>> clusterid, celldata = record.somcluster()

where the following arguments are defined:

- `transpose` (default: `0`)
  Determines if rows (`transpose` is `0`) or columns (`transpose` is `1`) are to be clustered.
- `nxgrid, nygrid` (default: `2, 1`)
  The number of cells horizontally and vertically in the rectangular grid on which the Self-Organizing Map is calculated.
- `inittau` (default: `0.02`)
  The initial value for the parameter τ that is used in the SOM algorithm. The default value for `inittau` is 0.02, which was used in Michael Eisen’s Cluster/TreeView program.
- `niter` (default: `1`)
  The number of iterations to be performed.
- `dist` (default: `'e'`, Euclidean distance)
  Defines the distance function to be used (see 14.1).

This function returns the tuple `(clusterid, celldata)`:

- `clusterid`:
  An array with two columns, where the number of rows is equal to the number of items that were clustered. Each row contains the x and y coordinates of the cell in the rectangular SOM grid to which the item was assigned.
- `celldata`:
  An array with dimensions (`nxgrid`, `nygrid`, number of columns) if rows are being clustered, or (`nxgrid`, `nygrid`, number of rows) if columns are being clustered. Each element `[ix][iy]` of this array is a 1D vector containing the gene expression data for the centroid of the cluster in the grid cell with coordinates `[ix][iy]`.

### Saving the clustering result

To save the clustering result, use

    >>> record.save(jobname, geneclusters, expclusters)

where the following arguments are defined:

- `jobname`
  The string `jobname` is used as the base name for names of the files that are to be saved.
- `geneclusters`
  This argument describes the gene (row-wise) clustering result. In case of k-means clustering, this is a 1D array containing the number of the cluster each gene belongs to. It can be calculated using `kcluster`. In case of hierarchical clustering, `geneclusters` is a `Tree` object.
- `expclusters`
  This argument describes the (column-wise) clustering result for the experimental conditions. In case of k-means clustering, this is a 1D array containing the number of the cluster each experimental condition belongs to. It can be calculated using `kcluster`. In case of hierarchical clustering, `expclusters` is a `Tree` object.

This method writes the text file `jobname.cdt`, `jobname.gtr`, `jobname.atr`, `jobname*.kgg`, and/or `jobname*.kag` for subsequent reading by the Java TreeView program. If `geneclusters` and `expclusters` are both `None`, this method only writes the text file `jobname.cdt`; this file can subsequently be read into a new `Record` object.

## 14.8 Example calculation

This is an example of a hierarchical clustering calculation, using single linkage clustering for genes and maximum linkage clustering for experimental conditions. As the Euclidean distance is being used for gene clustering, it is necessary to scale the node distances `genetree` such that they are all between zero and one. This is needed for the Java TreeView code to display the tree diagram correctly. To cluster the experimental conditions, the uncentered correlation is being used. No scaling is needed in this case, as the distances in `exptree` are already between zero and two. The example data `cyano.txt` can be found in the `data` subdirectory.

    >>> from Bio import Cluster
    >>> handle = open("cyano.txt")
    >>> record = Cluster.read(handle)
    >>> handle.close()
    >>> genetree = record.treecluster(method='s')
    >>> genetree.scale()
    >>> exptree = record.treecluster(dist='u', transpose=1)
    >>> record.save("cyano_result", genetree, exptree)

This will create the files `cyano_result.cdt`, `cyano_result.gtr`, and `cyano_result.atr`.

Similarly, we can save a k-means clustering solution:

    >>> from Bio import Cluster
    >>> handle = open("cyano.txt")
    >>> record = Cluster.read(handle)
    >>> handle.close()
    >>> (geneclusters, error, ifound) = record.kcluster(nclusters=5, npass=1000)
    >>> (expclusters, error, ifound) = record.kcluster(nclusters=2, npass=100, transpose=1)
    >>> record.save("cyano_result", geneclusters, expclusters)

This will create the files `cyano_result_K_G2_A2.cdt`, `cyano_result_K_G2.kgg`, and `cyano_result_K_A2.kag`.

## 14.9 Auxiliary functions

`median(data)` returns the median of the 1D array `data`.

`mean(data)` returns the mean of the 1D array `data`.

`version()` returns the version number of the underlying C Clustering Library as a string.

# Chapter 15 Supervised learning methods

Note the supervised learning methods described in this chapter all require Numerical Python (numpy) to be installed.

## 15.1 The Logistic Regression Model

### 15.1.1 Background and Purpose

Logistic regression is a supervised learning approach that attempts to distinguish K classes from each other using a weighted sum of some predictor variables xi. The logistic regression model is used to calculate the weights βi of the predictor variables. In Biopython, the logistic regression model is currently implemented for two classes only (K = 2); the number of predictor variables has no predefined limit.

As an example, let’s try to predict the operon structure in bacteria. An operon is a set of adjacent genes on the same strand of DNA that are transcribed into a single mRNA molecule. Translation of the single mRNA molecule then yields the individual proteins. For Bacillus subtilis, whose data we will be using, the average number of genes in an operon is about 2.4.

As a first step in understanding gene regulation in bacteria, we need to know the operon structure. For about 10% of the genes in Bacillus subtilis, the operon structure is known from experiments. A supervised learning method can be used to predict the operon structure for the remaining 90% of the genes.

For such a supervised learning approach, we need to choose some predictor variables xi that can be measured easily and are somehow related to the operon structure. One predictor variable might be the distance in base pairs between genes. Adjacent genes belonging to the same operon tend to be separated by a relatively short distance, whereas adjacent genes in different operons tend to have a larger space between them to allow for promoter and terminator sequences. Another predictor variable is based on gene expression measurements. By definition, genes belonging to the same operon have equal gene expression profiles, while genes in different operons are expected to have different expression profiles. In practice, the measured expression profiles of genes in the same operon are not quite identical due to the presence of measurement errors. To assess the similarity in the gene expression profiles, we assume that the measurement errors follow a normal distribution and calculate the corresponding log-likelihood score.

We now have two predictor variables that we can use to predict if two adjacent genes on the same strand of DNA belong to the same operon:

- x1: the number of base pairs between them;
- x2: their similarity in expression profile.

In a logistic regression model, we use a weighted sum of these two predictors to calculate a joint score S:

S = β0 + β1 x1 + β2 x2. (15.1)

The logistic regression model gives us appropriate values for the parameters β0, β1, β2 using two sets of example genes:

- OP: Adjacent genes, on the same strand of DNA, known to belong to the same operon;
- NOP: Adjacent genes, on the same strand of DNA, known to belong to different operons.

In the logistic regression model, the probability of belonging to a class depends on the score via the logistic function. For the two classes OP and NOP, we can write this as

Pr(OP|x1, x2) | = |
exp(β0 + β1 x1 + β2 x2)
1+exp(β0 + β1 x1 + β2 x2)
| (15.2)
Pr(NOP|x1, x2) | = |
1
1+exp(β0 + β1 x1 + β2 x2)
| (15.3)

Using a set of gene pairs for which it is known whether they belong to the same operon (class OP) or to different operons (class NOP), we can calculate the weights β0, β1, β2 by maximizing the log-likelihood corresponding to the probability functions (15.2) and (15.3).

### 15.1.2 Training the logistic regression model

> Table 15.1: Adjacent gene pairs known to belong to the same operon (class OP) or to different operons (class NOP). Intergene distances are negative if the two genes overlap.

> Gene pair | Intergene distance (x1) | Gene expression score (x2) | Class
> cotJA — cotJB | -53 | -200.78 | OP
> yesK — yesL | 117 | -267.14 | OP
> lplA — lplB | 57 | -163.47 | OP
> lplB — lplC | 16 | -190.30 | OP
> lplC — lplD | 11 | -220.94 | OP
> lplD — yetF | 85 | -193.94 | OP
> yfmT — yfmS | 16 | -182.71 | OP
> yfmF — yfmE | 15 | -180.41 | OP
> citS — citT | -26 | -181.73 | OP
> citM — yflN | 58 | -259.87 | OP
> yfiI — yfiJ | 126 | -414.53 | NOP
> lipB — yfiQ | 191 | -249.57 | NOP
> yfiU — yfiV | 113 | -265.28 | NOP
> yfhH — yfhI | 145 | -312.99 | NOP
> cotY — cotX | 154 | -213.83 | NOP
> yjoB — rapA | 147 | -380.85 | NOP
> ptsI — splA | 93 | -291.13 | NOP

Table 15.1 lists some of the Bacillus subtilis gene pairs for which the operon structure is known. Let’s calculate the logistic regression model from these data:

    >>> from Bio import LogisticRegression
    >>> xs = [[-53, -200.78],
              [117, -267.14],
              [57, -163.47],
              [16, -190.30],
              [11, -220.94],
              [85, -193.94],
              [16, -182.71],
              [15, -180.41],
              [-26, -181.73],
              [58, -259.87],
              [126, -414.53],
              [191, -249.57],
              [113, -265.28],
              [145, -312.99],
              [154, -213.83],
              [147, -380.85],
              [93, -291.13]]
    >>> ys = [1,
              1,
              1,
              1,
              1,
              1,
              1,
              1,
              1,
              1,
              0,
              0,
              0,
              0,
              0,
              0,
              0]
    >>> model = LogisticRegression.train(xs, ys)

Here, `xs` and `ys` are the training data: `xs` contains the predictor variables for each gene pair, and `ys` specifies if the gene pair belongs to the same operon (`1`, class OP) or different operons (`0`, class NOP). The resulting logistic regression model is stored in `model`, which contains the weights β0, β1, and β2:

    >>> model.beta
    [8.9830290157144681, -0.035968960444850887, 0.02181395662983519]

Note that β1 is negative, as gene pairs with a shorter intergene distance have a higher probability of belonging to the same operon (class OP). On the other hand, β2 is positive, as gene pairs belonging to the same operon typically have a higher similarity score of their gene expression profiles. The parameter β0 is positive due to the higher prevalence of operon gene pairs than non-operon gene pairs in the training data.

The function `train` has two optional arguments: `update_fn` and `typecode`. The `update_fn` can be used to specify a callback function, taking as arguments the iteration number and the log-likelihood. With the callback function, we can for example track the progress of the model calculation (which uses a Newton-Raphson iteration to maximize the log-likelihood function of the logistic regression model):

    >>> def show_progress(iteration, loglikelihood):
            print("Iteration:", iteration, "Log-likelihood function:", loglikelihood)
    >>>
    >>> model = LogisticRegression.train(xs, ys, update_fn=show_progress)
    Iteration: 0 Log-likelihood function: -11.7835020695
    Iteration: 1 Log-likelihood function: -7.15886767672
    Iteration: 2 Log-likelihood function: -5.76877209868
    Iteration: 3 Log-likelihood function: -5.11362294338
    Iteration: 4 Log-likelihood function: -4.74870642433
    Iteration: 5 Log-likelihood function: -4.50026077146
    Iteration: 6 Log-likelihood function: -4.31127773737
    Iteration: 7 Log-likelihood function: -4.16015043396
    Iteration: 8 Log-likelihood function: -4.03561719785
    Iteration: 9 Log-likelihood function: -3.93073282192
    Iteration: 10 Log-likelihood function: -3.84087660929
    Iteration: 11 Log-likelihood function: -3.76282560605
    Iteration: 12 Log-likelihood function: -3.69425027154
    Iteration: 13 Log-likelihood function: -3.6334178602
    Iteration: 14 Log-likelihood function: -3.57900855837
    Iteration: 15 Log-likelihood function: -3.52999671386
    Iteration: 16 Log-likelihood function: -3.48557145163
    Iteration: 17 Log-likelihood function: -3.44508206139
    Iteration: 18 Log-likelihood function: -3.40799948447
    Iteration: 19 Log-likelihood function: -3.3738885624
    Iteration: 20 Log-likelihood function: -3.3423876581
    Iteration: 21 Log-likelihood function: -3.31319343769
    Iteration: 22 Log-likelihood function: -3.2860493346
    Iteration: 23 Log-likelihood function: -3.2607366863
    Iteration: 24 Log-likelihood function: -3.23706784091
    Iteration: 25 Log-likelihood function: -3.21488073614
    Iteration: 26 Log-likelihood function: -3.19403459259
    Iteration: 27 Log-likelihood function: -3.17440646052
    Iteration: 28 Log-likelihood function: -3.15588842703
    Iteration: 29 Log-likelihood function: -3.13838533947
    Iteration: 30 Log-likelihood function: -3.12181293595
    Iteration: 31 Log-likelihood function: -3.10609629966
    Iteration: 32 Log-likelihood function: -3.09116857282
    Iteration: 33 Log-likelihood function: -3.07696988017
    Iteration: 34 Log-likelihood function: -3.06344642288
    Iteration: 35 Log-likelihood function: -3.05054971191
    Iteration: 36 Log-likelihood function: -3.03823591619
    Iteration: 37 Log-likelihood function: -3.02646530573
    Iteration: 38 Log-likelihood function: -3.01520177394
    Iteration: 39 Log-likelihood function: -3.00441242601
    Iteration: 40 Log-likelihood function: -2.99406722296
    Iteration: 41 Log-likelihood function: -2.98413867259

The iteration stops once the increase in the log-likelihood function is less than 0.01. If no convergence is reached after 500 iterations, the `train` function returns with an `AssertionError`.

The optional keyword `typecode` can almost always be ignored. This keyword allows the user to choose the type of Numeric matrix to use. In particular, to avoid memory problems for very large problems, it may be necessary to use single-precision floats (Float8, Float16, etc.) rather than double, which is used by default.

### 15.1.3 Using the logistic regression model for classification

Classification is performed by calling the `classify` function. Given a logistic regression model and the values for x1 and x2 (e.g. for a gene pair of unknown operon structure), the `classify` function returns `1` or `0`, corresponding to class OP and class NOP, respectively. For example, let’s consider the gene pairs yxcE, yxcD and yxiB, yxiA:

> Table 15.2: Adjacent gene pairs of unknown operon status.

> Gene pair | Intergene distance x1 | Gene expression score x2
> yxcE — yxcD | 6 | -173.143442352
> yxiB — yxiA | 309 | -271.005880394

The logistic regression model classifies yxcE, yxcD as belonging to the same operon (class OP), while yxiB, yxiA are predicted to belong to different operons:

    >>> print("yxcE, yxcD:", LogisticRegression.classify(model, [6, -173.143442352]))
    yxcE, yxcD: 1
    >>> print("yxiB, yxiA:", LogisticRegression.classify(model, [309, -271.005880394]))
    yxiB, yxiA: 0

(which, by the way, agrees with the biological literature).

To find out how confident we can be in these predictions, we can call the `calculate` function to obtain the probabilities (equations (15.2) and 15.3) for class OP and NOP. For yxcE, yxcD we find

    >>> q, p = LogisticRegression.calculate(model, [6, -173.143442352])
    >>> print("class OP: probability =", p, "class NOP: probability =", q)
    class OP: probability = 0.993242163503 class NOP: probability = 0.00675783649744

and for yxiB, yxiA

    >>> q, p = LogisticRegression.calculate(model, [309, -271.005880394])
    >>> print("class OP: probability =", p, "class NOP: probability =", q)
    class OP: probability = 0.000321211251817 class NOP: probability = 0.999678788748

To get some idea of the prediction accuracy of the logistic regression model, we can apply it to the training data:

    >>> for i in range(len(ys)):
            print("True:", ys[i], "Predicted:", LogisticRegression.classify(model, xs[i]))
    True: 1 Predicted: 1
    True: 1 Predicted: 0
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0

showing that the prediction is correct for all but one of the gene pairs. A more reliable estimate of the prediction accuracy can be found from a leave-one-out analysis, in which the model is recalculated from the training data after removing the gene to be predicted:

    >>> for i in range(len(ys)):
            model = LogisticRegression.train(xs[:i]+xs[i+1:], ys[:i]+ys[i+1:])
            print("True:", ys[i], "Predicted:", LogisticRegression.classify(model, xs[i]))
    True: 1 Predicted: 1
    True: 1 Predicted: 0
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 1
    True: 0 Predicted: 0
    True: 0 Predicted: 0

The leave-one-out analysis shows that the prediction of the logistic regression model is incorrect for only two of the gene pairs, which corresponds to a prediction accuracy of 88%.

### 15.1.4 Logistic Regression, Linear Discriminant Analysis, and Support Vector Machines

The logistic regression model is similar to linear discriminant analysis. In linear discriminant analysis, the class probabilities also follow equations (15.2) and (15.3). However, instead of estimating the coefficients β directly, we first fit a normal distribution to the predictor variables x. The coefficients β are then calculated from the means and covariances of the normal distribution. If the distribution of x is indeed normal, then we expect linear discriminant analysis to perform better than the logistic regression model. The logistic regression model, on the other hand, is more robust to deviations from normality.

Another similar approach is a support vector machine with a linear kernel. Such an SVM also uses a linear combination of the predictors, but estimates the coefficients β from the predictor variables x near the boundary region between the classes. If the logistic regression model (equations (15.2) and (15.3)) is a good description for x away from the boundary region, we expect the logistic regression model to perform better than an SVM with a linear kernel, as it relies on more data. If not, an SVM with a linear kernel may perform better.

Trevor Hastie, Robert Tibshirani, and Jerome Friedman: The Elements of Statistical Learning. Data Mining, Inference, and Prediction. Springer Series in Statistics, 2001. Chapter 4.4.

## 15.2 k-Nearest Neighbors

### 15.2.1 Background and purpose

The k-nearest neighbors method is a supervised learning approach that does not need to fit a model to the data. Instead, data points are classified based on the categories of the k nearest neighbors in the training data set.

In Biopython, the k-nearest neighbors method is available in `Bio.kNN`. To illustrate the use of the k-nearest neighbor method in Biopython, we will use the same operon data set as in section 15.1.

### 15.2.2 Initializing a k-nearest neighbors model

Using the data in Table 15.1, we create and initialize a k-nearest neighbors model as follows:

    >>> from Bio import kNN
    >>> k = 3
    >>> model = kNN.train(xs, ys, k)

where `xs` and `ys` are the same as in Section 15.1.2. Here, `k` is the number of neighbors k that will be considered for the classification. For classification into two classes, choosing an odd number for k lets you avoid tied votes. The function name `train` is a bit of a misnomer, since no model training is done: this function simply stores `xs`, `ys`, and `k` in `model`.

### 15.2.3 Using a k-nearest neighbors model for classification

To classify new data using the k-nearest neighbors model, we use the `classify` function. This function takes a data point (x1,x2) and finds the k-nearest neighbors in the training data set `xs`. The data point (x1, x2) is then classified based on which category (`ys`) occurs most among the k neighbors.

For the example of the gene pairs yxcE, yxcD and yxiB, yxiA, we find:

    >>> x = [6, -173.143442352]
    >>> print("yxcE, yxcD:", kNN.classify(model, x))
    yxcE, yxcD: 1
    >>> x = [309, -271.005880394]
    >>> print("yxiB, yxiA:", kNN.classify(model, x))
    yxiB, yxiA: 0

In agreement with the logistic regression model, yxcE, yxcD are classified as belonging to the same operon (class OP), while yxiB, yxiA are predicted to belong to different operons.

The `classify` function lets us specify both a distance function and a weight function as optional arguments. The distance function affects which k neighbors are chosen as the nearest neighbors, as these are defined as the neighbors with the smallest distance to the query point (x, y). By default, the Euclidean distance is used. Instead, we could for example use the city-block (Manhattan) distance:

    >>> def cityblock(x1, x2):
    ...    assert len(x1)==2
    ...    assert len(x2)==2
    ...    distance = abs(x1[0]-x2[0]) + abs(x1[1]-x2[1])
    ...    return distance
    ...
    >>> x = [6, -173.143442352]
    >>> print("yxcE, yxcD:", kNN.classify(model, x, distance_fn = cityblock))
    yxcE, yxcD: 1

The weight function can be used for weighted voting. For example, we may want to give closer neighbors a higher weight than neighbors that are further away:

    >>> def weight(x1, x2):
    ...    assert len(x1)==2
    ...    assert len(x2)==2
    ...    return exp(-abs(x1[0]-x2[0]) - abs(x1[1]-x2[1]))
    ...
    >>> x = [6, -173.143442352]
    >>> print("yxcE, yxcD:", kNN.classify(model, x, weight_fn = weight))
    yxcE, yxcD: 1

By default, all neighbors are given an equal weight.

To find out how confident we can be in these predictions, we can call the `calculate` function, which will calculate the total weight assigned to the classes OP and NOP. For the default weighting scheme, this reduces to the number of neighbors in each category. For yxcE, yxcD, we find

    >>> x = [6, -173.143442352]
    >>> weight = kNN.calculate(model, x)
    >>> print("class OP: weight =", weight[0], "class NOP: weight =", weight[1])
    class OP: weight = 0.0 class NOP: weight = 3.0

which means that all three neighbors of `x1`, `x2` are in the NOP class. As another example, for yesK, yesL we find

    >>> x = [117, -267.14]
    >>> weight = kNN.calculate(model, x)
    >>> print("class OP: weight =", weight[0], "class NOP: weight =", weight[1])
    class OP: weight = 2.0 class NOP: weight = 1.0

which means that two neighbors are operon pairs and one neighbor is a non-operon pair.

To get some idea of the prediction accuracy of the k-nearest neighbors approach, we can apply it to the training data:

    >>> for i in range(len(ys)):
            print("True:", ys[i], "Predicted:", kNN.classify(model, xs[i]))
    True: 1 Predicted: 1
    True: 1 Predicted: 0
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0

showing that the prediction is correct for all but two of the gene pairs. A more reliable estimate of the prediction accuracy can be found from a leave-one-out analysis, in which the model is recalculated from the training data after removing the gene to be predicted:

    >>> for i in range(len(ys)):
            model = kNN.train(xs[:i]+xs[i+1:], ys[:i]+ys[i+1:])
            print("True:", ys[i], "Predicted:", kNN.classify(model, xs[i]))
    True: 1 Predicted: 1
    True: 1 Predicted: 0
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 1
    True: 1 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 1
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 0
    True: 0 Predicted: 1

The leave-one-out analysis shows that k-nearest neighbors model is correct for 13 out of 17 gene pairs, which corresponds to a prediction accuracy of 76%.

## 15.3 Naïve Bayes

This section will describe the `Bio.NaiveBayes` module.

## 15.4 Maximum Entropy

This section will describe the `Bio.MaximumEntropy` module.

## 15.5 Markov Models

This section will describe the `Bio.MarkovModel` and/or `Bio.HMM.MarkovModel` modules.

# Chapter 16 Graphics including GenomeDiagram

The `Bio.Graphics` module depends on the third party Python library ReportLab. Although focused on producing PDF files, ReportLab can also create encapsulated postscript (EPS) and (SVG) files. In addition to these vector based images, provided certain further dependencies such as the Python Imaging Library (PIL) are installed, ReportLab can also output bitmap images (including JPEG, PNG, GIF, BMP and PICT formats).

## 16.1 GenomeDiagram

### 16.1.1 Introduction

The `Bio.Graphics.GenomeDiagram` module was added to Biopython 1.50, having previously been available as a separate Python module dependent on Biopython. GenomeDiagram is described in the Bioinformatics journal publication by Pritchard et al. (2006) [2], which includes some examples images. There is a PDF copy of the old manual here, `http://biopython.org/DIST/docs/GenomeDiagram/userguide.pdf` which has some more examples.

As the name might suggest, GenomeDiagram was designed for drawing whole genomes, in particular prokaryotic genomes, either as linear diagrams (optionally broken up into fragments to fit better) or as circular wheel diagrams. Have a look at Figure 2 in Toth et al. (2006) [3] for a good example. It proved also well suited to drawing quite detailed figures for smaller genomes such as phage, plasmids or mitochrondia, for example see Figures 1 and 2 in Van der Auwera et al. (2009) [4] (shown with additional manual editing).

This module is easiest to use if you have your genome loaded as a `SeqRecord` object containing lots of `SeqFeature` objects - for example as loaded from a GenBank file (see Chapters 4 and 5).

### 16.1.2 Diagrams, tracks, feature-sets and features

GenomeDiagram uses a nested set of objects. At the top level, you have a diagram object representing a sequence (or sequence region) along the horizontal axis (or circle). A diagram can contain one or more tracks, shown stacked vertically (or radially on circular diagrams). These will typically all have the same length and represent the same sequence region. You might use one track to show the gene locations, another to show regulatory regions, and a third track to show the GC percentage.

The most commonly used type of track will contain features, bundled together in feature-sets. You might choose to use one feature-set for all your CDS features, and another for tRNA features. This isn’t required - they can all go in the same feature-set, but it makes it easier to update the properties of just selected features (e.g. make all the tRNA features red).

There are two main ways to build up a complete diagram. Firstly, the top down approach where you create a diagram object, and then using its methods add track(s), and use the track methods to add feature-set(s), and use their methods to add the features. Secondly, you can create the individual objects separately (in whatever order suits your code), and then combine them.

### 16.1.3 A top down example

We’re going to draw a whole genome from a `SeqRecord` object read in from a GenBank file (see Chapter 5). This example uses the pPCP1 plasmid from Yersinia pestis biovar Microtus, the file is included with the Biopython unit tests under the GenBank folder, or online `NC_005816.gb` from our website.

    from reportlab.lib import colors
    from reportlab.lib.units import cm
    from Bio.Graphics import GenomeDiagram
    from Bio import SeqIO
    record = SeqIO.read("NC_005816.gb", "genbank")

We’re using a top down approach, so after loading in our sequence we next create an empty diagram, then add an (empty) track, and to that add an (empty) feature set:

    gd_diagram = GenomeDiagram.Diagram("Yersinia pestis biovar Microtus plasmid pPCP1")
    gd_track_for_features = gd_diagram.new_track(1, name="Annotated Features")
    gd_feature_set = gd_track_for_features.new_set()

Now the fun part - we take each gene `SeqFeature` object in our `SeqRecord`, and use it to generate a feature on the diagram. We’re going to color them blue, alternating between a dark blue and a light blue.

    for feature in record.features:
        if feature.type != "gene":
            #Exclude this feature
            continue
        if len(gd_feature_set) % 2 == 0:
            color = colors.blue
        else:
            color = colors.lightblue
        gd_feature_set.add_feature(feature, color=color, label=True)

Now we come to actually making the output file. This happens in two steps, first we call the `draw` method, which creates all the shapes using ReportLab objects. Then we call the `write` method which renders these to the requested file format. Note you can output in multiple file formats:

    gd_diagram.draw(format="linear", orientation="landscape", pagesize='A4',
                    fragments=4, start=0, end=len(record))
    gd_diagram.write("plasmid_linear.pdf", "PDF")
    gd_diagram.write("plasmid_linear.eps", "EPS")
    gd_diagram.write("plasmid_linear.svg", "SVG")

Also, provided you have the dependencies installed, you can also do bitmaps, for example:

    gd_diagram.write("plasmid_linear.png", "PNG")

Notice that the `fragments` argument which we set to four controls how many pieces the genome gets broken up into.

If you want to do a circular figure, then try this:

    gd_diagram.draw(format="circular", circular=True, pagesize=(20*cm,20*cm),
                    start=0, end=len(record), circle_core=0.7)
    gd_diagram.write("plasmid_circular.pdf", "PDF")

These figures are not very exciting, but we’ve only just got started.

### 16.1.4 A bottom up example

Now let’s produce exactly the same figures, but using the bottom up approach. This means we create the different objects directly (and this can be done in almost any order) and then combine them.

    from reportlab.lib import colors
    from reportlab.lib.units import cm
    from Bio.Graphics import GenomeDiagram
    from Bio import SeqIO
    record = SeqIO.read("NC_005816.gb", "genbank")

    #Create the feature set and its feature objects,
    gd_feature_set = GenomeDiagram.FeatureSet()
    for feature in record.features:
        if feature.type != "gene":
            #Exclude this feature
            continue
        if len(gd_feature_set) % 2 == 0:
            color = colors.blue
        else:
            color = colors.lightblue
        gd_feature_set.add_feature(feature, color=color, label=True)
    #(this for loop is the same as in the previous example)

    #Create a track, and a diagram
    gd_track_for_features = GenomeDiagram.Track(name="Annotated Features")
    gd_diagram = GenomeDiagram.Diagram("Yersinia pestis biovar Microtus plasmid pPCP1")

    #Now have to glue the bits together...
    gd_track_for_features.add_set(gd_feature_set)
    gd_diagram.add_track(gd_track_for_features, 1)

You can now call the `draw` and `write` methods as before to produce a linear or circular diagram, using the code at the end of the top-down example above. The figures should be identical.

### 16.1.5 Features without a SeqFeature

In the above example we used a `SeqRecord`’s `SeqFeature` objects to build our diagram (see also Section 4.3). Sometimes you won’t have `SeqFeature` objects, but just the coordinates for a feature you want to draw. You have to create minimal `SeqFeature` object, but this is easy:

    from Bio.SeqFeature import SeqFeature, FeatureLocation
    my_seq_feature = SeqFeature(FeatureLocation(50,100),strand=+1)

For strand, use `+1` for the forward strand, `-1` for the reverse strand, and `None` for both. Here is a short self contained example:

    from Bio.SeqFeature import SeqFeature, FeatureLocation
    from Bio.Graphics import GenomeDiagram
    from reportlab.lib.units import cm

    gdd = GenomeDiagram.Diagram('Test Diagram')
    gdt_features = gdd.new_track(1, greytrack=False)
    gds_features = gdt_features.new_set()

    #Add three features to show the strand options,
    feature = SeqFeature(FeatureLocation(25, 125), strand=+1)
    gds_features.add_feature(feature, name="Forward", label=True)
    feature = SeqFeature(FeatureLocation(150, 250), strand=None)
    gds_features.add_feature(feature, name="Strandless", label=True)
    feature = SeqFeature(FeatureLocation(275, 375), strand=-1)
    gds_features.add_feature(feature, name="Reverse", label=True)

    gdd.draw(format='linear', pagesize=(15*cm,4*cm), fragments=1,
             start=0, end=400)
    gdd.write("GD_labels_default.pdf", "pdf")

The top part of the image in the next subsection shows the output (in the default feature color, pale green).

Notice that we have used the `name` argument here to specify the caption text for these features. This is discussed in more detail next.

### 16.1.6 Feature captions

Recall we used the following (where `feature` was a `SeqFeature` object) to add a feature to the diagram:

    gd_feature_set.add_feature(feature, color=color, label=True)

In the example above the `SeqFeature` annotation was used to pick a sensible caption for the features. By default the following possible entries under the `SeqFeature` object’s qualifiers dictionary are used: `gene`, `label`, `name`, `locus_tag`, and `product`. More simply, you can specify a name directly:

    gd_feature_set.add_feature(feature, color=color, label=True, name="My Gene")

In addition to the caption text for each feature’s label, you can also choose the font, position (this defaults to the start of the sigil, you can also choose the middle or at the end) and orientation (for linear diagrams only, where this defaults to rotated by 45 degrees):

    #Large font, parallel with the track
    gd_feature_set.add_feature(feature, label=True, color="green",
                               label_size=25, label_angle=0)

    #Very small font, perpendicular to the track (towards it)
    gd_feature_set.add_feature(feature, label=True, color="purple",
                               label_position="end",
                               label_size=4, label_angle=90)

    #Small font, perpendicular to the track (away from it)
    gd_feature_set.add_feature(feature, label=True, color="blue",
                               label_position="middle",
                               label_size=6, label_angle=-90)

Combining each of these three fragments with the complete example in the previous section should give something like this:

We’ve not shown it here, but you can also set `label_color` to control the label’s color (used in Section 16.1.9).

You’ll notice the default font is quite small - this makes sense because you will usually be drawing many (small) features on a page, not just a few large ones as shown here.

### 16.1.7 Feature sigils

The examples above have all just used the default sigil for the feature, a plain box, which was all that was available in the last publicly released standalone version of GenomeDiagram. Arrow sigils were included when GenomeDiagram was added to Biopython 1.50:

    #Default uses a BOX sigil
    gd_feature_set.add_feature(feature)

    #You can make this explicit:
    gd_feature_set.add_feature(feature, sigil="BOX")

    #Or opt for an arrow:
    gd_feature_set.add_feature(feature, sigil="ARROW")

Biopython 1.61 added three more sigils,

    #Box with corners cut off (making it an octagon)
    gd_feature_set.add_feature(feature, sigil="OCTO")

    #Box with jagged edges (useful for showing breaks in contains)
    gd_feature_set.add_feature(feature, sigil="JAGGY")

    #Arrow which spans the axis with strand used only for direction
    gd_feature_set.add_feature(feature, sigil="BIGARROW")

These are shown below. Most sigils fit into a bounding box (as given by the default BOX sigil), either above or below the axis for the forward or reverse strand, or straddling it (double the height) for strand-less features. The BIGARROW sigil is different, always straddling the axis with the direction taken from the feature’s stand.

### 16.1.8 Arrow sigils

We introduced the arrow sigils in the previous section. There are two additional options to adjust the shapes of the arrows, firstly the thickness of the arrow shaft, given as a proportion of the height of the bounding box:

    #Full height shafts, giving pointed boxes:
    gd_feature_set.add_feature(feature, sigil="ARROW", color="brown",
                               arrowshaft_height=1.0)
    #Or, thin shafts:
    gd_feature_set.add_feature(feature, sigil="ARROW", color="teal",
                               arrowshaft_height=0.2)
    #Or, very thin shafts:
    gd_feature_set.add_feature(feature, sigil="ARROW", color="darkgreen",
                               arrowshaft_height=0.1)

The results are shown below:

Secondly, the length of the arrow head - given as a proportion of the height of the bounding box (defaulting to 0.5, or 50%):

    #Short arrow heads:
    gd_feature_set.add_feature(feature, sigil="ARROW", color="blue",
                               arrowhead_length=0.25)
    #Or, longer arrow heads:
    gd_feature_set.add_feature(feature, sigil="ARROW", color="orange",
                               arrowhead_length=1)
    #Or, very very long arrow heads (i.e. all head, no shaft, so triangles):
    gd_feature_set.add_feature(feature, sigil="ARROW", color="red",
                               arrowhead_length=10000)

The results are shown below:

Biopython 1.61 adds a new `BIGARROW` sigil which always stradles the axis, pointing left for the reverse strand or right otherwise:

    #A large arrow straddling the axis:
    gd_feature_set.add_feature(feature, sigil="BIGARROW")

All the shaft and arrow head options shown above for the `ARROW` sigil can be used for the `BIGARROW` sigil too.

### 16.1.9 A nice example

Now let’s return to the pPCP1 plasmid from Yersinia pestis biovar Microtus, and the top down approach used in Section 16.1.3, but take advantage of the sigil options we’ve now discussed. This time we’ll use arrows for the genes, and overlay them with strand-less features (as plain boxes) showing the position of some restriction digest sites.

    from reportlab.lib import colors
    from reportlab.lib.units import cm
    from Bio.Graphics import GenomeDiagram
    from Bio import SeqIO
    from Bio.SeqFeature import SeqFeature, FeatureLocation

    record = SeqIO.read("NC_005816.gb", "genbank")

    gd_diagram = GenomeDiagram.Diagram(record.id)
    gd_track_for_features = gd_diagram.new_track(1, name="Annotated Features")
    gd_feature_set = gd_track_for_features.new_set()

    for feature in record.features:
        if feature.type != "gene":
            #Exclude this feature
            continue
        if len(gd_feature_set) % 2 == 0:
            color = colors.blue
        else:
            color = colors.lightblue
        gd_feature_set.add_feature(feature, sigil="ARROW",
                                   color=color, label=True,
                                   label_size = 14, label_angle=0)

    #I want to include some strandless features, so for an example
    #will use EcoRI recognition sites etc.
    for site, name, color in [("GAATTC","EcoRI",colors.green),
                              ("CCCGGG","SmaI",colors.orange),
                              ("AAGCTT","HindIII",colors.red),
                              ("GGATCC","BamHI",colors.purple)]:
        index = 0
        while True:
            index  = record.seq.find(site, start=index)
            if index == -1 : break
            feature = SeqFeature(FeatureLocation(index, index+len(site)))
            gd_feature_set.add_feature(feature, color=color, name=name,
                                       label=True, label_size = 10,
                                       label_color=color)
            index += len(site)

    gd_diagram.draw(format="linear", pagesize='A4', fragments=4,
                    start=0, end=len(record))
    gd_diagram.write("plasmid_linear_nice.pdf", "PDF")
    gd_diagram.write("plasmid_linear_nice.eps", "EPS")
    gd_diagram.write("plasmid_linear_nice.svg", "SVG")

    gd_diagram.draw(format="circular", circular=True, pagesize=(20*cm,20*cm),
                    start=0, end=len(record), circle_core = 0.5)
    gd_diagram.write("plasmid_circular_nice.pdf", "PDF")
    gd_diagram.write("plasmid_circular_nice.eps", "EPS")
    gd_diagram.write("plasmid_circular_nice.svg", "SVG")

And the output:

### 16.1.10 Multiple tracks

All the examples so far have used a single track, but you can have more than one track – for example show the genes on one, and repeat regions on another. In this example we’re going to show three phage genomes side by side to scale, inspired by Figure 6 in Proux et al. (2002) [5]. We’ll need the GenBank files for the following three phage:

- `NC_002703` – Lactococcus phage Tuc2009, complete genome (38347 bp)
- `AF323668` – Bacteriophage bIL285, complete genome (35538 bp)
- `NC_003212` – Listeria innocua Clip11262, complete genome, of which we are focussing only on integrated prophage 5 (similar length).

You can download these using Entrez if you like, see Section 9.6 for more details. For the third record we’ve worked out where the phage is integrated into the genome, and slice the record to extract it (with the features preserved, see Section 4.6), and must also reverse complement to match the orientation of the first two phage (again preserving the features, see Section 4.8):

    from Bio import SeqIO

    A_rec = SeqIO.read("NC_002703.gbk", "gb")
    B_rec = SeqIO.read("AF323668.gbk", "gb")
    C_rec = SeqIO.read("NC_003212.gbk", "gb")[2587879:2625807].reverse_complement(name=True)

The figure we are imitating used different colors for different gene functions. One way to do this is to edit the GenBank file to record color preferences for each feature - something Sanger’s Artemis editor does, and which GenomeDiagram should understand. Here however, we’ll just hard code three lists of colors.

Note that the annotation in the GenBank files doesn’t exactly match that shown in Proux et al., they have drawn some unannotated genes.

    from reportlab.lib.colors import red, grey, orange, green, brown, blue, lightblue, purple

    A_colors = [red]*5 + [grey]*7 + [orange]*2 + [grey]*2 + [orange] + [grey]*11 + [green]*4 \
             + [grey] + [green]*2 + [grey, green] + [brown]*5 + [blue]*4 + [lightblue]*5 \
             + [grey, lightblue] + [purple]*2 + [grey]
    B_colors = [red]*6 + [grey]*8 + [orange]*2 + [grey] + [orange] + [grey]*21 + [green]*5 \
             + [grey] + [brown]*4 + [blue]*3 + [lightblue]*3 + [grey]*5 + [purple]*2
    C_colors = [grey]*30 + [green]*5 + [brown]*4 + [blue]*2 + [grey, blue] + [lightblue]*2 \
             + [grey]*5

Now to draw them – this time we add three tracks to the diagram, and also notice they are given different start/end values to reflect their different lengths (this requires Biopython 1.59 or later).

    from Bio.Graphics import GenomeDiagram

    name = "Proux Fig 6"
    gd_diagram = GenomeDiagram.Diagram(name)
    max_len = 0
    for record, gene_colors in zip([A_rec, B_rec, C_rec], [A_colors, B_colors, C_colors]):
        max_len = max(max_len, len(record))
        gd_track_for_features = gd_diagram.new_track(1,
                                name=record.name,
                                greytrack=True,
                                start=0, end=len(record))
        gd_feature_set = gd_track_for_features.new_set()

        i = 0
        for feature in record.features:
            if feature.type != "gene":
                #Exclude this feature
                continue
            gd_feature_set.add_feature(feature, sigil="ARROW",
                                       color=gene_colors[i], label=True,
                                       name = str(i+1),
                                       label_position="start",
                                       label_size = 6, label_angle=0)
            i+=1

    gd_diagram.draw(format="linear", pagesize='A4', fragments=1,
                    start=0, end=max_len)
    gd_diagram.write(name + ".pdf", "PDF")
    gd_diagram.write(name + ".eps", "EPS")
    gd_diagram.write(name + ".svg", "SVG")

The result:

I did wonder why in the original manuscript there were no red or orange genes marked in the bottom phage. Another important point is here the phage are shown with different lengths - this is because they are all drawn to the same scale (they are different lengths).

The key difference from the published figure is they have color-coded links between similar proteins – which is what we will do in the next section.

### 16.1.11 Cross-Links between tracks

Biopython 1.59 added the ability to draw cross links between tracks - both simple linear diagrams as we will show here, but also linear diagrams split into fragments and circular diagrams.

Continuing the example from the previous section inspired by Figure 6 from Proux et al. 2002 [5], we would need a list of cross links between pairs of genes, along with a score or color to use. Realistically you might extract this from a BLAST file computationally, but here I have manually typed them in.

My naming convention continues to refer to the three phage as A, B and C. Here are the links we want to show between A and B, given as a list of tuples (percentage similarity score, gene in A, gene in B).

    #Tuc2009 (NC_002703) vs bIL285 (AF323668)
    A_vs_B = [
        (99, "Tuc2009_01", "int"),
        (33, "Tuc2009_03", "orf4"),
        (94, "Tuc2009_05", "orf6"),
        (100,"Tuc2009_06", "orf7"),
        (97, "Tuc2009_07", "orf8"),
        (98, "Tuc2009_08", "orf9"),
        (98, "Tuc2009_09", "orf10"),
        (100,"Tuc2009_10", "orf12"),
        (100,"Tuc2009_11", "orf13"),
        (94, "Tuc2009_12", "orf14"),
        (87, "Tuc2009_13", "orf15"),
        (94, "Tuc2009_14", "orf16"),
        (94, "Tuc2009_15", "orf17"),
        (88, "Tuc2009_17", "rusA"),
        (91, "Tuc2009_18", "orf20"),
        (93, "Tuc2009_19", "orf22"),
        (71, "Tuc2009_20", "orf23"),
        (51, "Tuc2009_22", "orf27"),
        (97, "Tuc2009_23", "orf28"),
        (88, "Tuc2009_24", "orf29"),
        (26, "Tuc2009_26", "orf38"),
        (19, "Tuc2009_46", "orf52"),
        (77, "Tuc2009_48", "orf54"),
        (91, "Tuc2009_49", "orf55"),
        (95, "Tuc2009_52", "orf60"),
    ]

Likewise for B and C:

    #bIL285 (AF323668) vs Listeria innocua prophage 5 (in NC_003212)
    B_vs_C = [
        (42, "orf39", "lin2581"),
        (31, "orf40", "lin2580"),
        (49, "orf41", "lin2579"), #terL
        (54, "orf42", "lin2578"), #portal
        (55, "orf43", "lin2577"), #protease
        (33, "orf44", "lin2576"), #mhp
        (51, "orf46", "lin2575"),
        (33, "orf47", "lin2574"),
        (40, "orf48", "lin2573"),
        (25, "orf49", "lin2572"),
        (50, "orf50", "lin2571"),
        (48, "orf51", "lin2570"),
        (24, "orf52", "lin2568"),
        (30, "orf53", "lin2567"),
        (28, "orf54", "lin2566"),
    ]

For the first and last phage these identifiers are locus tags, for the middle phage there are no locus tags so I’ve used gene names instead. The following little helper function lets us lookup a feature using either a locus tag or gene name:

    def get_feature(features, id, tags=["locus_tag", "gene"]):
        """Search list of SeqFeature objects for an identifier under the given tags."""
        for f in features:
            for key in tags:
                #tag may not be present in this feature
                for x in f.qualifiers.get(key, []):
                    if x == id:
                         return f
        raise KeyError(id)

We can now turn those list of identifier pairs into SeqFeature pairs, and thus find their location co-ordinates. We can now add all that code and the following snippet to the previous example (just before the `gd_diagram.draw(...)` line – see the finished example script Proux_et_al_2002_Figure_6.py included in the `Doc/examples` folder of the Biopython source code) to add cross links to the figure:

    from Bio.Graphics.GenomeDiagram import CrossLink
    from reportlab.lib import colors
    #Note it might have been clearer to assign the track numbers explicitly...
    for rec_X, tn_X, rec_Y, tn_Y, X_vs_Y in [(A_rec, 3, B_rec, 2, A_vs_B),
                                             (B_rec, 2, C_rec, 1, B_vs_C)]:
        track_X = gd_diagram.tracks[tn_X]
        track_Y = gd_diagram.tracks[tn_Y]
        for score, id_X, id_Y in X_vs_Y:
            feature_X = get_feature(rec_X.features, id_X)
            feature_Y = get_feature(rec_Y.features, id_Y)
            color = colors.linearlyInterpolatedColor(colors.white, colors.firebrick, 0, 100, score)
            link_xy = CrossLink((track_X, feature_X.location.start, feature_X.location.end),
                                (track_Y, feature_Y.location.start, feature_Y.location.end),
                                color, colors.lightgrey)
            gd_diagram.cross_track_links.append(link_xy)

There are several important pieces to this code. First the `GenomeDiagram` object has a `cross_track_links` attribute which is just a list of `CrossLink` objects. Each `CrossLink` object takes two sets of track-specific co-ordinates (here given as tuples, you can alternatively use a `GenomeDiagram.Feature` object instead). You can optionally supply a colour, border color, and say if this link should be drawn flipped (useful for showing inversions).

You can also see how we turn the BLAST percentage identity score into a colour, interpolating between white (0%) and a dark red (100%). In this example we don’t have any problems with overlapping cross-links. One way to tackle that is to use transparency in ReportLab, by using colors with their alpha channel set. However, this kind of shaded color scheme combined with overlap transparency would be difficult to interpret. The result:

There is still a lot more that can be done within Biopython to help improve this figure. First of all, the cross links in this case are between proteins which are drawn in a strand specific manor. It can help to add a background region (a feature using the ‘BOX’ sigil) on the feature track to extend the cross link. Also, we could reduce the vertical height of the feature tracks to allocate more to the links instead – one way to do that is to allocate space for empty tracks. Furthermore, in cases like this where there are no large gene overlaps, we can use the axis-straddling `BIGARROW` sigil, which allows us to further reduce the vertical space needed for the track. These improvements are demonstrated in the example script Proux_et_al_2002_Figure_6.py included in the `Doc/examples` folder of the Biopython source code. The result:

Beyond that, finishing touches you might want to do manually in a vector image editor include fine tuning the placement of gene labels, and adding other custom annotation such as highlighting particular regions.

Although not really necessary in this example since none of the cross-links overlap, using a transparent color in ReportLab is a very useful technique for superimposing multiple links. However, in this case a shaded color scheme should be avoided.

### 16.1.12 Further options

You can control the tick marks to show the scale – after all every graph should show its units, and the number of the grey-track labels.

Also, we have only used the `FeatureSet` so far. GenomeDiagram also has a `GraphSet` which can be used for show line graphs, bar charts and heat plots (e.g. to show plots of GC% on a track parallel to the features).

These options are not covered here yet, so for now we refer you to the User Guide (PDF) included with the standalone version of GenomeDiagram (but please read the next section first), and the docstrings.

### 16.1.13 Converting old code

If you have old code written using the standalone version of GenomeDiagram, and you want to switch it over to using the new version included with Biopython then you will have to make a few changes - most importantly to your import statements.

Also, the older version of GenomeDiagram used only the UK spellings of color and center (colour and centre). You will need to change to the American spellings, although for several years the Biopython version of GenomeDiagram supported both.

For example, if you used to have:

    from GenomeDiagram import GDFeatureSet, GDDiagram
    gdd = GDDiagram("An example")
    ...

you could just switch the import statements like this:

    from Bio.Graphics.GenomeDiagram import FeatureSet as GDFeatureSet, Diagram as GDDiagram
    gdd = GDDiagram("An example")
    ...

and hopefully that should be enough. In the long term you might want to switch to the new names, but you would have to change more of your code:

    from Bio.Graphics.GenomeDiagram import FeatureSet, Diagram
    gdd = Diagram("An example")
    ...

or:

    from Bio.Graphics import GenomeDiagram
    gdd = GenomeDiagram.Diagram("An example")
    ...

If you run into difficulties, please ask on the Biopython mailing list for advice. One catch is that we have not included the old module `GenomeDiagram.GDUtilities` yet. This included a number of GC% related functions, which will probably be merged under `Bio.SeqUtils` later on.

## 16.2 Chromosomes

The `Bio.Graphics.BasicChromosome` module allows drawing of chromosomes. There is an example in Jupe et al. (2012) [6] (open access) using colors to highlight different gene families.

### 16.2.1 Simple Chromosomes

Here is a very simple example - for which we’ll use Arabidopsis thaliana.

You can skip this bit, but first I downloaded the five sequenced chromosomes from the NCBI’s FTP site `ftp://ftp.ncbi.nlm.nih.gov/genomes/Arabidopsis_thaliana` and then parsed them with `Bio.SeqIO` to find out their lengths. You could use the GenBank files for this, but it is faster to use the FASTA files for the whole chromosomes:

    from Bio import SeqIO
    entries = [("Chr I", "CHR_I/NC_003070.fna"),
               ("Chr II", "CHR_II/NC_003071.fna"),
               ("Chr III", "CHR_III/NC_003074.fna"),
               ("Chr IV", "CHR_IV/NC_003075.fna"),
               ("Chr V", "CHR_V/NC_003076.fna")]
    for (name, filename) in entries:
       record = SeqIO.read(filename,"fasta")
       print(name, len(record))

This gave the lengths of the five chromosomes, which we’ll now use in the following short demonstration of the `BasicChromosome` module:

    from reportlab.lib.units import cm
    from Bio.Graphics import BasicChromosome

    entries = [("Chr I", 30432563),
               ("Chr II", 19705359),
               ("Chr III", 23470805),
               ("Chr IV", 18585042),
               ("Chr V", 26992728)]

    max_len = 30432563 #Could compute this
    telomere_length = 1000000 #For illustration

    chr_diagram = BasicChromosome.Organism()
    chr_diagram.page_size = (29.7*cm, 21*cm) #A4 landscape

    for name, length in entries:
        cur_chromosome = BasicChromosome.Chromosome(name)
        #Set the scale to the MAXIMUM length plus the two telomeres in bp,
        #want the same scale used on all five chromosomes so they can be
        #compared to each other
        cur_chromosome.scale_num = max_len + 2 * telomere_length

        #Add an opening telomere
        start = BasicChromosome.TelomereSegment()
        start.scale = telomere_length
        cur_chromosome.add(start)

        #Add a body - using bp as the scale length here.
        body = BasicChromosome.ChromosomeSegment()
        body.scale = length
        cur_chromosome.add(body)

        #Add a closing telomere
        end = BasicChromosome.TelomereSegment(inverted=True)
        end.scale = telomere_length
        cur_chromosome.add(end)

        #This chromosome is done
        chr_diagram.add(cur_chromosome)

    chr_diagram.draw("simple_chrom.pdf", "Arabidopsis thaliana")

This should create a very simple PDF file, shown here:

This example is deliberately short and sweet. The next example shows the location of features of interest.

### 16.2.2 Annotated Chromosomes

Continuing from the previous example, let’s also show the tRNA genes. We’ll get their locations by parsing the GenBank files for the five Arabidopsis thaliana chromosomes. You’ll need to download these files from the NCBI FTP site `ftp://ftp.ncbi.nlm.nih.gov/genomes/Arabidopsis_thaliana`, and preserve the subdirectory names or edit the paths below:

    from reportlab.lib.units import cm
    from Bio import SeqIO
    from Bio.Graphics import BasicChromosome

    entries = [("Chr I", "CHR_I/NC_003070.gbk"),
               ("Chr II", "CHR_II/NC_003071.gbk"),
               ("Chr III", "CHR_III/NC_003074.gbk"),
               ("Chr IV", "CHR_IV/NC_003075.gbk"),
               ("Chr V", "CHR_V/NC_003076.gbk")]

    max_len = 30432563 #Could compute this
    telomere_length = 1000000 #For illustration

    chr_diagram = BasicChromosome.Organism()
    chr_diagram.page_size = (29.7*cm, 21*cm) #A4 landscape

    for index, (name, filename) in enumerate(entries):
        record = SeqIO.read(filename,"genbank")
        length = len(record)
        features = [f for f in record.features if f.type=="tRNA"]
        #Record an Artemis style integer color in the feature's qualifiers,
        #1 = Black, 2 = Red, 3 = Green, 4 = blue, 5 =cyan, 6 = purple
        for f in features: f.qualifiers["color"] = [index+2]

        cur_chromosome = BasicChromosome.Chromosome(name)
        #Set the scale to the MAXIMUM length plus the two telomeres in bp,
        #want the same scale used on all five chromosomes so they can be
        #compared to each other
        cur_chromosome.scale_num = max_len + 2 * telomere_length

        #Add an opening telomere
        start = BasicChromosome.TelomereSegment()
        start.scale = telomere_length
        cur_chromosome.add(start)

        #Add a body - again using bp as the scale length here.
        body = BasicChromosome.AnnotatedChromosomeSegment(length, features)
        body.scale = length
        cur_chromosome.add(body)

        #Add a closing telomere
        end = BasicChromosome.TelomereSegment(inverted=True)
        end.scale = telomere_length
        cur_chromosome.add(end)

        #This chromosome is done
        chr_diagram.add(cur_chromosome)

    chr_diagram.draw("tRNA_chrom.pdf", "Arabidopsis thaliana")

It might warn you about the labels being too close together - have a look at the forward strand (right hand side) of Chr I, but it should create a colorful PDF file, shown here:

# Chapter 17 KEGG

KEGG (`http://www.kegg.jp/`) is a database resource for understanding high-level functions and utilities of the biological system, such as the cell, the organism and the ecosystem, from molecular-level information, especially large-scale molecular datasets generated by genome sequencing and other high-throughput experimental technologies.

Please note that the KEGG parser implementation in Biopython is incomplete. While the KEGG website indicates many flat file formats, only parsers and writers for compound, enzyme, and map are currently implemented. However, a generic parser is implemented to handle the other formats.

## 17.1 Parsing KEGG records

Parsing a KEGG record is as simple as using any other file format parser in Biopython. (Before running the following codes, please open `http://rest.kegg.jp/get/ec:5.4.2.2` with your web browser and save it as `ec_5.4.2.2.txt`.)

    >>> from Bio.KEGG import Enzyme
    >>> records = Enzyme.parse(open("ec_5.4.2.2.txt"))
    >>> record = list(records)[0]
    >>> record.classname
    ['Isomerases;', 'Intramolecular transferases;', 'Phosphotransferases (phosphomutases)']
    >>> record.entry
    '5.4.2.2'

The following section will shows how to download the above enzyme using the KEGG api as well as how to use the generic parser with data that does not have a custom parser implemented.

## 17.2 Querying the KEGG API

Biopython has full support for the querying of the KEGG api. Querying all KEGG endpoints are supported; all methods documented by KEGG (`http://www.kegg.jp/kegg/rest/keggapi.html`) are supported. The interface has some validation of queries which follow rules defined on the KEGG site. However, invalid queries which return a 400 or 404 must be handled by the user.

First, here is how to extend the above example by downloading the relevant enzyme and passing it through the Enzyme parser.

    >>> from Bio.KEGG import REST
    >>> from Bio.KEGG import Enzyme
    >>> request = REST.kegg_get("ec:5.4.2.2")
    >>> open("ec_5.4.2.2.txt", 'w').write(request.read())
    >>> records = Enzyme.parse(open("ec_5.4.2.2.txt"))
    >>> record = list(records)[0]
    >>> record.classname
    ['Isomerases;', 'Intramolecular transferases;', 'Phosphotransferases (phosphomutases)']
    >>> record.entry
    '5.4.2.2'

Now, here’s a more realistic example which shows a combination of querying the KEGG API. This will demonstrate how to extract a unique set of all human pathway gene symbols which relate to DNA repair. The steps that need to be taken to do so are as follows. First, we need to get a list of all human pathways. Secondly, we need to filter those for ones which relate to "repair". Lastly, we need to get a list of all the gene symbols in all repair pathways.

    from Bio.KEGG import REST

    human_pathways = REST.kegg_list("pathway", "hsa").read()

    # Filter all human pathways for repair pathways
    repair_pathways = []
    for line in human_pathways.rstrip().split("\n"):
        entry, description = line.split("\t")
        if "repair" in description:
            repair_pathways.append(entry)

    # Get the genes for pathways and add them to a list
    repair_genes = []
    for pathway in repair_pathways:
        pathway_file = REST.kegg_get(pathway).read()  # query and read each pathway

        # iterate through each KEGG pathway file, keeping track of which section
        # of the file we're in, only read the gene in each pathway
        current_section = None
        for line in pathway_file.rstrip().split("\n"):
            section = line[:12].strip()  # section names are within 12 columns
            if not section == "":
                current_section = section

            if current_section == "GENE":
                gene_identifiers, gene_description = line[12:].split("; ")
                gene_id, gene_symbol = gene_identifiers.split()

                if not gene_symbol in repair_genes:
                    repair_genes.append(gene_symbol)

    print "There are %d repair pathways and %d repair genes. The genes are:" % \
          (len(repair_pathways), len(repair_genes))
    print ", ".join(repair_genes)

The KEGG API wrapper is compatible with all endpoints. Usage is essentially replacing all slashes in the url with commas and using that list as arguments to the corresponding method in the KEGG module. Here are a few examples from the api documentation (`http://www.kegg.jp/kegg/docs/keggapi.html`).

    /list/hsa:10458+ece:Z5100          -> REST.kegg_list(["hsa:10458", "ece:Z5100"])
    /find/compound/300-310/mol_weight  -> REST.kegg_find("compound", "300-310", "mol_weight")
    /get/hsa:10458+ece:Z5100/aaseq     -> REST.kegg_get(["hsa:10458", "ece:Z5100"], "aaseq")

# Chapter 18 Cookbook – Cool things to do with it

Biopython now has two collections of “cookbook” examples – this chapter (which has been included in this tutorial for many years and has gradually grown), and `http://biopython.org/wiki/Category:Cookbook` which is a user contributed collection on our wiki.

We’re trying to encourage Biopython users to contribute their own examples to the wiki. In addition to helping the community, one direct benefit of sharing an example like this is that you could also get some feedback on the code from other Biopython users and developers - which could help you improve all your Python code.

In the long term, we may end up moving all of the examples in this chapter to the wiki, or elsewhere within the tutorial.

## 18.1 Working with sequence files

This section shows some more examples of sequence input/output, using the `Bio.SeqIO` module described in Chapter 5.

### 18.1.1 Filtering a sequence file

Often you’ll have a large file with many sequences in it (e.g. FASTA file or genes, or a FASTQ or SFF file of reads), a separate shorter list of the IDs for a subset of sequences of interest, and want to make a new sequence file for this subset.

Let’s say the list of IDs is in a simple text file, as the first word on each line. This could be a tabular file where the first column is the ID. Try something like this:

    from Bio import SeqIO
    input_file = "big_file.sff"
    id_file = "short_list.txt"
    output_file = "short_list.sff"
    wanted = set(line.rstrip("\n").split(None,1)[0] for line in open(id_file))
    print("Found %i unique identifiers in %s" % (len(wanted), id_file))
    records = (r for r in SeqIO.parse(input_file, "sff") if r.id in wanted)
    count = SeqIO.write(records, output_file, "sff")
    print("Saved %i records from %s to %s" % (count, input_file, output_file))
    if count < len(wanted):
        print("Warning %i IDs not found in %s" % (len(wanted)-count, input_file))

Note that we use a Python `set` rather than a `list`, this makes testing membership faster.

### 18.1.2 Producing randomised genomes

Let’s suppose you are looking at genome sequence, hunting for some sequence feature – maybe extreme local GC% bias, or possible restriction digest sites. Once you’ve got your Python code working on the real genome it may be sensible to try running the same search on randomised versions of the same genome for statistical analysis (after all, any “features” you’ve found could just be there just by chance).

For this discussion, we’ll use the GenBank file for the pPCP1 plasmid from Yersinia pestis biovar Microtus. The file is included with the Biopython unit tests under the GenBank folder, or you can get it from our website, `NC_005816.gb`. This file contains one and only one record, so we can read it in as a `SeqRecord` using the `Bio.SeqIO.read()` function:

    >>> from Bio import SeqIO
    >>> original_rec = SeqIO.read("NC_005816.gb", "genbank")

So, how can we generate a shuffled versions of the original sequence? I would use the built in Python `random` module for this, in particular the function `random.shuffle` – but this works on a Python list. Our sequence is a `Seq` object, so in order to shuffle it we need to turn it into a list:

    >>> import random
    >>> nuc_list = list(original_rec.seq)
    >>> random.shuffle(nuc_list) #acts in situ!

Now, in order to use `Bio.SeqIO` to output the shuffled sequence, we need to construct a new `SeqRecord` with a new `Seq` object using this shuffled list. In order to do this, we need to turn the list of nucleotides (single letter strings) into a long string – the standard Python way to do this is with the string object’s join method.

    >>> from Bio.Seq import Seq
    >>> from Bio.SeqRecord import SeqRecord
    >>> shuffled_rec = SeqRecord(Seq("".join(nuc_list), original_rec.seq.alphabet),
    ...                          id="Shuffled", description="Based on %s" % original_rec.id)

Let’s put all these pieces together to make a complete Python script which generates a single FASTA file containing 30 randomly shuffled versions of the original sequence.

This first version just uses a big for loop and writes out the records one by one (using the `SeqRecord`’s format method described in Section 5.5.4):

    import random
    from Bio.Seq import Seq
    from Bio.SeqRecord import SeqRecord
    from Bio import SeqIO

    original_rec = SeqIO.read("NC_005816.gb","genbank")

    handle = open("shuffled.fasta", "w")
    for i in range(30):
        nuc_list = list(original_rec.seq)
        random.shuffle(nuc_list)
        shuffled_rec = SeqRecord(Seq("".join(nuc_list), original_rec.seq.alphabet), \
                                 id="Shuffled%i" % (i+1), \
                                 description="Based on %s" % original_rec.id)
        handle.write(shuffled_rec.format("fasta"))
    handle.close()

Personally I prefer the following version using a function to shuffle the record and a generator expression instead of the for loop:

    import random
    from Bio.Seq import Seq
    from Bio.SeqRecord import SeqRecord
    from Bio import SeqIO

    def make_shuffle_record(record, new_id):
        nuc_list = list(record.seq)
        random.shuffle(nuc_list)
        return SeqRecord(Seq("".join(nuc_list), record.seq.alphabet), \
               id=new_id, description="Based on %s" % original_rec.id)

    original_rec = SeqIO.read("NC_005816.gb","genbank")
    shuffled_recs = (make_shuffle_record(original_rec, "Shuffled%i" % (i+1)) \
                     for i in range(30))
    handle = open("shuffled.fasta", "w")
    SeqIO.write(shuffled_recs, handle, "fasta")
    handle.close()

### 18.1.3 Translating a FASTA file of CDS entries

Suppose you’ve got an input file of CDS entries for some organism, and you want to generate a new FASTA file containing their protein sequences. i.e. Take each nucleotide sequence from the original file, and translate it. Back in Section 3.9 we saw how to use the `Seq` object’s `translate method`, and the optional `cds` argument which enables correct translation of alternative start codons.

We can combine this with `Bio.SeqIO` as shown in the reverse complement example in Section 5.5.3. The key point is that for each nucleotide `SeqRecord`, we need to create a protein `SeqRecord` - and take care of naming it.

You can write you own function to do this, choosing suitable protein identifiers for your sequences, and the appropriate genetic code. In this example we just use the default table and add a prefix to the identifier:

    from Bio.SeqRecord import SeqRecord
    def make_protein_record(nuc_record):
        """Returns a new SeqRecord with the translated sequence (default table)."""
        return SeqRecord(seq = nuc_record.seq.translate(cds=True), \
                         id = "trans_" + nuc_record.id, \
                         description = "translation of CDS, using default table")

We can then use this function to turn the input nucleotide records into protein records ready for output. An elegant way and memory efficient way to do this is with a generator expression:

    from Bio import SeqIO
    proteins = (make_protein_record(nuc_rec) for nuc_rec in \
                SeqIO.parse("coding_sequences.fasta", "fasta"))
    SeqIO.write(proteins, "translations.fasta", "fasta")

This should work on any FASTA file of complete coding sequences. If you are working on partial coding sequences, you may prefer to use `nuc_record.seq.translate(to_stop=True)` in the example above, as this wouldn’t check for a valid start codon etc.

### 18.1.4 Making the sequences in a FASTA file upper case

Often you’ll get data from collaborators as FASTA files, and sometimes the sequences can be in a mixture of upper and lower case. In some cases this is deliberate (e.g. lower case for poor quality regions), but usually it is not important. You may want to edit the file to make everything consistent (e.g. all upper case), and you can do this easily using the `upper()` method of the `SeqRecord` object (added in Biopython 1.55):

    from Bio import SeqIO
    records = (rec.upper() for rec in SeqIO.parse("mixed.fas", "fasta"))
    count = SeqIO.write(records, "upper.fas", "fasta")
    print("Converted %i records to upper case" % count)

How does this work? The first line is just importing the `Bio.SeqIO` module. The second line is the interesting bit – this is a Python generator expression which gives an upper case version of each record parsed from the input file (`mixed.fas`). In the third line we give this generator expression to the `Bio.SeqIO.write()` function and it saves the new upper cases records to our output file (`upper.fas`).

The reason we use a generator expression (rather than a list or list comprehension) is this means only one record is kept in memory at a time. This can be really important if you are dealing with large files with millions of entries.

### 18.1.5 Sorting a sequence file

Suppose you wanted to sort a sequence file by length (e.g. a set of contigs from an assembly), and you are working with a file format like FASTA or FASTQ which `Bio.SeqIO` can read, write (and index).

If the file is small enough, you can load it all into memory at once as a list of `SeqRecord` objects, sort the list, and save it:

    from Bio import SeqIO
    records = list(SeqIO.parse("ls_orchid.fasta","fasta"))
    records.sort(cmp=lambda x,y: cmp(len(x),len(y)))
    SeqIO.write(records, "sorted_orchids.fasta", "fasta")

The only clever bit is specifying a comparison function for how to sort the records (here we sort them by length). If you wanted the longest records first, you could flip the comparison or use the reverse argument:

    from Bio import SeqIO
    records = list(SeqIO.parse("ls_orchid.fasta","fasta"))
    records.sort(cmp=lambda x,y: cmp(len(y),len(x)))
    SeqIO.write(records, "sorted_orchids.fasta", "fasta")

Now that’s pretty straight forward - but what happens if you have a very large file and you can’t load it all into memory like this? For example, you might have some next-generation sequencing reads to sort by length. This can be solved using the `Bio.SeqIO.index()` function.

    from Bio import SeqIO
    #Get the lengths and ids, and sort on length
    len_and_ids = sorted((len(rec), rec.id) for rec in \
                         SeqIO.parse("ls_orchid.fasta","fasta"))
    ids = reversed([id for (length, id) in len_and_ids])
    del len_and_ids #free this memory
    record_index = SeqIO.index("ls_orchid.fasta", "fasta")
    records = (record_index[id] for id in ids)
    SeqIO.write(records, "sorted.fasta", "fasta")

First we scan through the file once using `Bio.SeqIO.parse()`, recording the record identifiers and their lengths in a list of tuples. We then sort this list to get them in length order, and discard the lengths. Using this sorted list of identifiers `Bio.SeqIO.index()` allows us to retrieve the records one by one, and we pass them to `Bio.SeqIO.write()` for output.

These examples all use `Bio.SeqIO` to parse the records into `SeqRecord` objects which are output using `Bio.SeqIO.write()`. What if you want to sort a file format which `Bio.SeqIO.write()` doesn’t support, like the plain text SwissProt format? Here is an alternative solution using the `get_raw()` method added to `Bio.SeqIO.index()` in Biopython 1.54 (see Section 5.4.2.2).

    from Bio import SeqIO
    #Get the lengths and ids, and sort on length
    len_and_ids = sorted((len(rec), rec.id) for rec in \
                         SeqIO.parse("ls_orchid.fasta","fasta"))
    ids = reversed([id for (length, id) in len_and_ids])
    del len_and_ids #free this memory
    record_index = SeqIO.index("ls_orchid.fasta", "fasta")
    handle = open("sorted.fasta", "w")
    for id in ids:
        handle.write(record_index.get_raw(id))
    handle.close()

As a bonus, because it doesn’t parse the data into `SeqRecord` objects a second time it should be faster.

### 18.1.6 Simple quality filtering for FASTQ files

The FASTQ file format was introduced at Sanger and is now widely used for holding nucleotide sequencing reads together with their quality scores. FASTQ files (and the related QUAL files) are an excellent example of per-letter-annotation, because for each nucleotide in the sequence there is an associated quality score. Any per-letter-annotation is held in a `SeqRecord` in the `letter_annotations` dictionary as a list, tuple or string (with the same number of elements as the sequence length).

One common task is taking a large set of sequencing reads and filtering them (or cropping them) based on their quality scores. The following example is very simplistic, but should illustrate the basics of working with quality data in a `SeqRecord` object. All we are going to do here is read in a file of FASTQ data, and filter it to pick out only those records whose PHRED quality scores are all above some threshold (here 20).

For this example we’ll use some real data downloaded from the ENA sequence read archive, `ftp://ftp.sra.ebi.ac.uk/vol1/fastq/SRR020/SRR020192/SRR020192.fastq.gz` (2MB) which unzips to a 19MB file `SRR020192.fastq`. This is some Roche 454 GS FLX single end data from virus infected California sea lions (see `http://www.ebi.ac.uk/ena/data/view/SRS004476` for details).

First, let’s count the reads:

    from Bio import SeqIO
    count = 0
    for rec in SeqIO.parse("SRR020192.fastq", "fastq"):
        count += 1
    print("%i reads" % count)

Now let’s do a simple filtering for a minimum PHRED quality of 20:

    from Bio import SeqIO
    good_reads = (rec for rec in \
                  SeqIO.parse("SRR020192.fastq", "fastq") \
                  if min(rec.letter_annotations["phred_quality"]) >= 20)
    count = SeqIO.write(good_reads, "good_quality.fastq", "fastq")
    print("Saved %i reads" % count)

This pulled out only 14580 reads out of the 41892 present. A more sensible thing to do would be to quality trim the reads, but this is intended as an example only.

FASTQ files can contain millions of entries, so it is best to avoid loading them all into memory at once. This example uses a generator expression, which means only one `SeqRecord` is created at a time - avoiding any memory limitations.

### 18.1.7 Trimming off primer sequences

For this example we’re going to pretend that `GATGACGGTGT` is a 5’ primer sequence we want to look for in some FASTQ formatted read data. As in the example above, we’ll use the `SRR020192.fastq` file downloaded from the ENA (`ftp://ftp.sra.ebi.ac.uk/vol1/fastq/SRR020/SRR020192/SRR020192.fastq.gz`). The same approach would work with any other supported file format (e.g. FASTA files).

This code uses `Bio.SeqIO` with a generator expression (to avoid loading all the sequences into memory at once), and the `Seq` object’s `startswith` method to see if the read starts with the primer sequence:

    from Bio import SeqIO
    primer_reads = (rec for rec in \
                    SeqIO.parse("SRR020192.fastq", "fastq") \
                    if rec.seq.startswith("GATGACGGTGT"))
    count = SeqIO.write(primer_reads, "with_primer.fastq", "fastq")
    print("Saved %i reads" % count)

That should find 13819 reads from `SRR014849.fastq` and save them to a new FASTQ file, `with_primer.fastq`.

Now suppose that instead you wanted to make a FASTQ file containing these reads but with the primer sequence removed? That’s just a small change as we can slice the `SeqRecord` (see Section 4.6) to remove the first eleven letters (the length of our primer):

    from Bio import SeqIO
    trimmed_primer_reads = (rec[11:] for rec in \
                            SeqIO.parse("SRR020192.fastq", "fastq") \
                            if rec.seq.startswith("GATGACGGTGT"))
    count = SeqIO.write(trimmed_primer_reads, "with_primer_trimmed.fastq", "fastq")
    print("Saved %i reads" % count)

Again, that should pull out the 13819 reads from `SRR020192.fastq`, but this time strip off the first ten characters, and save them to another new FASTQ file, `with_primer_trimmed.fastq`.

Finally, suppose you want to create a new FASTQ file where these reads have their primer removed, but all the other reads are kept as they were? If we want to still use a generator expression, it is probably clearest to define our own trim function:

    from Bio import SeqIO
    def trim_primer(record, primer):
        if record.seq.startswith(primer):
            return record[len(primer):]
        else:
            return record

    trimmed_reads = (trim_primer(record, "GATGACGGTGT") for record in \
                     SeqIO.parse("SRR020192.fastq", "fastq"))
    count = SeqIO.write(trimmed_reads, "trimmed.fastq", "fastq")
    print("Saved %i reads" % count)

This takes longer, as this time the output file contains all 41892 reads. Again, we’re used a generator expression to avoid any memory problems. You could alternatively use a generator function rather than a generator expression.

    from Bio import SeqIO
    def trim_primers(records, primer):
        """Removes perfect primer sequences at start of reads.

        This is a generator function, the records argument should
        be a list or iterator returning SeqRecord objects.
        """
        len_primer = len(primer) #cache this for later
        for record in records:
            if record.seq.startswith(primer):
                yield record[len_primer:]
            else:
                yield record

    original_reads = SeqIO.parse("SRR020192.fastq", "fastq")
    trimmed_reads = trim_primers(original_reads, "GATGACGGTGT")
    count = SeqIO.write(trimmed_reads, "trimmed.fastq", "fastq")
    print("Saved %i reads" % count)

This form is more flexible if you want to do something more complicated where only some of the records are retained – as shown in the next example.

### 18.1.8 Trimming off adaptor sequences

This is essentially a simple extension to the previous example. We are going to going to pretend `GATGACGGTGT` is an adaptor sequence in some FASTQ formatted read data, again the `SRR020192.fastq` file from the NCBI (`ftp://ftp.sra.ebi.ac.uk/vol1/fastq/SRR020/SRR020192/SRR020192.fastq.gz`).

This time however, we will look for the sequence anywhere in the reads, not just at the very beginning:

    from Bio import SeqIO

    def trim_adaptors(records, adaptor):
        """Trims perfect adaptor sequences.

        This is a generator function, the records argument should
        be a list or iterator returning SeqRecord objects.
        """
        len_adaptor = len(adaptor) #cache this for later
        for record in records:
            index = record.seq.find(adaptor)
            if index == -1:
                #adaptor not found, so won't trim
                yield record
            else:
                #trim off the adaptor
                yield record[index+len_adaptor:]

    original_reads = SeqIO.parse("SRR020192.fastq", "fastq")
    trimmed_reads = trim_adaptors(original_reads, "GATGACGGTGT")
    count = SeqIO.write(trimmed_reads, "trimmed.fastq", "fastq")
    print("Saved %i reads" % count)

Because we are using a FASTQ input file in this example, the `SeqRecord` objects have per-letter-annotation for the quality scores. By slicing the `SeqRecord` object the appropriate scores are used on the trimmed records, so we can output them as a FASTQ file too.

Compared to the output of the previous example where we only looked for a primer/adaptor at the start of each read, you may find some of the trimmed reads are quite short after trimming (e.g. if the adaptor was found in the middle rather than near the start). So, let’s add a minimum length requirement as well:

    from Bio import SeqIO

    def trim_adaptors(records, adaptor, min_len):
        """Trims perfect adaptor sequences, checks read length.

        This is a generator function, the records argument should
        be a list or iterator returning SeqRecord objects.
        """
        len_adaptor = len(adaptor) #cache this for later
        for record in records:
            len_record = len(record) #cache this for later
            if len(record) < min_len:
               #Too short to keep
               continue
            index = record.seq.find(adaptor)
            if index == -1:
                #adaptor not found, so won't trim
                yield record
            elif len_record - index - len_adaptor >= min_len:
                #after trimming this will still be long enough
                yield record[index+len_adaptor:]

    original_reads = SeqIO.parse("SRR020192.fastq", "fastq")
    trimmed_reads = trim_adaptors(original_reads, "GATGACGGTGT", 100)
    count = SeqIO.write(trimmed_reads, "trimmed.fastq", "fastq")
    print("Saved %i reads" % count)

By changing the format names, you could apply this to FASTA files instead. This code also could be extended to do a fuzzy match instead of an exact match (maybe using a pairwise alignment, or taking into account the read quality scores), but that will be much slower.

### 18.1.9 Converting FASTQ files

Back in Section 5.5.2 we showed how to use `Bio.SeqIO` to convert between two file formats. Here we’ll go into a little more detail regarding FASTQ files which are used in second generation DNA sequencing. Please refer to Cock et al. (2009) [7] for a longer description. FASTQ files store both the DNA sequence (as a string) and the associated read qualities.

PHRED scores (used in most FASTQ files, and also in QUAL files, ACE files and SFF files) have become a de facto standard for representing the probability of a sequencing error (here denoted by Pe) at a given base using a simple base ten log transformation:

QPHRED = − 10 × log10 ( Pe ) (18.1)

This means a wrong read (Pe = 1) gets a PHRED quality of 0, while a very good read like Pe = 0.00001 gets a PHRED quality of 50. While for raw sequencing data qualities higher than this are rare, with post processing such as read mapping or assembly, qualities of up to about 90 are possible (indeed, the MAQ tool allows for PHRED scores in the range 0 to 93 inclusive).

The FASTQ format has the potential to become a de facto standard for storing the letters and quality scores for a sequencing read in a single plain text file. The only fly in the ointment is that there are at least three versions of the FASTQ format which are incompatible and difficult to distinguish...

1. The original Sanger FASTQ format uses PHRED qualities encoded with an ASCII offset of 33. The NCBI are using this format in their Short Read Archive. We call this the `fastq` (or `fastq-sanger`) format in `Bio.SeqIO`.
2. Solexa (later bought by Illumina) introduced their own version using Solexa qualities encoded with an ASCII offset of 64. We call this the `fastq-solexa` format.
3. Illumina pipeline 1.3 onwards produces FASTQ files with PHRED qualities (which is more consistent), but encoded with an ASCII offset of 64. We call this the `fastq-illumina` format.

The Solexa quality scores are defined using a different log transformation:

QSolexa = − 10 × log10 | ⎛ ⎜ ⎜ ⎝ |
Pe
1−Pe
|  | ⎞ ⎟ ⎟ ⎠ | (18.2)

Given Solexa/Illumina have now moved to using PHRED scores in version 1.3 of their pipeline, the Solexa quality scores will gradually fall out of use. If you equate the error estimates (Pe) these two equations allow conversion between the two scoring systems - and Biopython includes functions to do this in the `Bio.SeqIO.QualityIO` module, which are called if you use `Bio.SeqIO` to convert an old Solexa/Illumina file into a standard Sanger FASTQ file:

    from Bio import SeqIO
    SeqIO.convert("solexa.fastq", "fastq-solexa", "standard.fastq", "fastq")

If you want to convert a new Illumina 1.3+ FASTQ file, all that gets changed is the ASCII offset because although encoded differently the scores are all PHRED qualities:

    from Bio import SeqIO
    SeqIO.convert("illumina.fastq", "fastq-illumina", "standard.fastq", "fastq")

Note that using `Bio.SeqIO.convert()` like this is much faster than combining `Bio.SeqIO.parse()` and `Bio.SeqIO.write()` because optimised code is used for converting between FASTQ variants (and also for FASTQ to FASTA conversion).

For good quality reads, PHRED and Solexa scores are approximately equal, which means since both the `fasta-solexa` and `fastq-illumina` formats use an ASCII offset of 64 the files are almost the same. This was a deliberate design choice by Illumina, meaning applications expecting the old `fasta-solexa` style files will probably be OK using the newer `fastq-illumina` files (on good data). Of course, both variants are very different from the original FASTQ standard as used by Sanger, the NCBI, and elsewhere (format name `fastq` or `fastq-sanger`).

For more details, see the built in help (also online):

    >>> from Bio.SeqIO import QualityIO
    >>> help(QualityIO)
    ...

### 18.1.10 Converting FASTA and QUAL files into FASTQ files

FASTQ files hold both sequences and their quality strings. FASTA files hold just sequences, while QUAL files hold just the qualities. Therefore a single FASTQ file can be converted to or from paired FASTA and QUAL files.

Going from FASTQ to FASTA is easy:

    from Bio import SeqIO
    SeqIO.convert("example.fastq", "fastq", "example.fasta", "fasta")

Going from FASTQ to QUAL is also easy:

    from Bio import SeqIO
    SeqIO.convert("example.fastq", "fastq", "example.qual", "qual")

However, the reverse is a little more tricky. You can use `Bio.SeqIO.parse()` to iterate over the records in a single file, but in this case we have two input files. There are several strategies possible, but assuming that the two files are really paired the most memory efficient way is to loop over both together. The code is a little fiddly, so we provide a function called `PairedFastaQualIterator` in the `Bio.SeqIO.QualityIO` module to do this. This takes two handles (the FASTA file and the QUAL file) and returns a `SeqRecord` iterator:

    from Bio.SeqIO.QualityIO import PairedFastaQualIterator
    for record in PairedFastaQualIterator(open("example.fasta"), open("example.qual")):
       print(record)

This function will check that the FASTA and QUAL files are consistent (e.g. the records are in the same order, and have the same sequence length). You can combine this with the `Bio.SeqIO.write()` function to convert a pair of FASTA and QUAL files into a single FASTQ files:

    from Bio import SeqIO
    from Bio.SeqIO.QualityIO import PairedFastaQualIterator
    handle = open("temp.fastq", "w") #w=write
    records = PairedFastaQualIterator(open("example.fasta"), open("example.qual"))
    count = SeqIO.write(records, handle, "fastq")
    handle.close()
    print("Converted %i records" % count)

### 18.1.11 Indexing a FASTQ file

FASTQ files are often very large, with millions of reads in them. Due to the sheer amount of data, you can’t load all the records into memory at once. This is why the examples above (filtering and trimming) iterate over the file looking at just one `SeqRecord` at a time.

However, sometimes you can’t use a big loop or an iterator - you may need random access to the reads. Here the `Bio.SeqIO.index()` function may prove very helpful, as it allows you to access any read in the FASTQ file by its name (see Section 5.4.2).

Again we’ll use the `SRR020192.fastq` file from the ENA (`ftp://ftp.sra.ebi.ac.uk/vol1/fastq/SRR020/SRR020192/SRR020192.fastq.gz`), although this is actually quite a small FASTQ file with less than 50,000 reads:

    >>> from Bio import SeqIO
    >>> fq_dict = SeqIO.index("SRR020192.fastq", "fastq")
    >>> len(fq_dict)
    41892
    >>> fq_dict.keys()[:4]
    ['SRR020192.38240', 'SRR020192.23181', 'SRR020192.40568', 'SRR020192.23186']
    >>> fq_dict["SRR020192.23186"].seq
    Seq('GTCCCAGTATTCGGATTTGTCTGCCAAAACAATGAAATTGACACAGTTTACAAC...CCG', SingleLetterAlphabet())

When testing this on a FASTQ file with seven million reads, indexing took about a minute, but record access was almost instant.

The example in Section 18.1.5 show how you can use the `Bio.SeqIO.index()` function to sort a large FASTA file – this could also be used on FASTQ files.

### 18.1.12 Converting SFF files

If you work with 454 (Roche) sequence data, you will probably have access to the raw data as a Standard Flowgram Format (SFF) file. This contains the sequence reads (called bases) with quality scores and the original flow information.

A common task is to convert from SFF to a pair of FASTA and QUAL files, or to a single FASTQ file. These operations are trivial using the `Bio.SeqIO.convert()` function (see Section 5.5.2):

    >>> from Bio import SeqIO
    >>> SeqIO.convert("E3MFGYR02_random_10_reads.sff", "sff", "reads.fasta", "fasta")
    10
    >>> SeqIO.convert("E3MFGYR02_random_10_reads.sff", "sff", "reads.qual", "qual")
    10
    >>> SeqIO.convert("E3MFGYR02_random_10_reads.sff", "sff", "reads.fastq", "fastq")
    10

Remember the convert function returns the number of records, in this example just ten. This will give you the untrimmed reads, where the leading and trailing poor quality sequence or adaptor will be in lower case. If you want the trimmed reads (using the clipping information recorded within the SFF file) use this:

    >>> from Bio import SeqIO
    >>> SeqIO.convert("E3MFGYR02_random_10_reads.sff", "sff-trim", "trimmed.fasta", "fasta")
    10
    >>> SeqIO.convert("E3MFGYR02_random_10_reads.sff", "sff-trim", "trimmed.qual", "qual")
    10
    >>> SeqIO.convert("E3MFGYR02_random_10_reads.sff", "sff-trim", "trimmed.fastq", "fastq")
    10

If you run Linux, you could ask Roche for a copy of their “off instrument” tools (often referred to as the Newbler tools). This offers an alternative way to do SFF to FASTA or QUAL conversion at the command line (but currently FASTQ output is not supported), e.g.

    $ sffinfo -seq -notrim E3MFGYR02_random_10_reads.sff > reads.fasta
    $ sffinfo -qual -notrim E3MFGYR02_random_10_reads.sff > reads.qual
    $ sffinfo -seq -trim E3MFGYR02_random_10_reads.sff > trimmed.fasta
    $ sffinfo -qual -trim E3MFGYR02_random_10_reads.sff > trimmed.qual

The way Biopython uses mixed case sequence strings to represent the trimming points deliberately mimics what the Roche tools do.

For more information on the Biopython SFF support, consult the built in help:

    >>> from Bio.SeqIO import SffIO
    >>> help(SffIO)
    ...

### 18.1.13 Identifying open reading frames

A very simplistic first step at identifying possible genes is to look for open reading frames (ORFs). By this we mean look in all six frames for long regions without stop codons – an ORF is just a region of nucleotides with no in frame stop codons.

Of course, to find a gene you would also need to worry about locating a start codon, possible promoters – and in Eukaryotes there are introns to worry about too. However, this approach is still useful in viruses and Prokaryotes.

To show how you might approach this with Biopython, we’ll need a sequence to search, and as an example we’ll again use the bacterial plasmid – although this time we’ll start with a plain FASTA file with no pre-marked genes: `NC_005816.fna`. This is a bacterial sequence, so we’ll want to use NCBI codon table 11 (see Section 3.9 about translation).

    >>> from Bio import SeqIO
    >>> record = SeqIO.read("NC_005816.fna", "fasta")
    >>> table = 11
    >>> min_pro_len = 100

Here is a neat trick using the `Seq` object’s `split` method to get a list of all the possible ORF translations in the six reading frames:

    >>> for strand, nuc in [(+1, record.seq), (-1, record.seq.reverse_complement())]:
    ...     for frame in range(3):
    ...         length = 3 * ((len(record)-frame) // 3) #Multiple of three
    ...         for pro in nuc[frame:frame+length].translate(table).split("*"):
    ...             if len(pro) >= min_pro_len:
    ...                 print("%s...%s - length %i, strand %i, frame %i" \
    ...                       % (pro[:30], pro[-3:], len(pro), strand, frame))
    GCLMKKSSIVATIITILSGSANAASSQLIP...YRF - length 315, strand 1, frame 0
    KSGELRQTPPASSTLHLRLILQRSGVMMEL...NPE - length 285, strand 1, frame 1
    GLNCSFFSICNWKFIDYINRLFQIIYLCKN...YYH - length 176, strand 1, frame 1
    VKKILYIKALFLCTVIKLRRFIFSVNNMKF...DLP - length 165, strand 1, frame 1
    NQIQGVICSPDSGEFMVTFETVMEIKILHK...GVA - length 355, strand 1, frame 2
    RRKEHVSKKRRPQKRPRRRRFFHRLRPPDE...PTR - length 128, strand 1, frame 2
    TGKQNSCQMSAIWQLRQNTATKTRQNRARI...AIK - length 100, strand 1, frame 2
    QGSGYAFPHASILSGIAMSHFYFLVLHAVK...CSD - length 114, strand -1, frame 0
    IYSTSEHTGEQVMRTLDEVIASRSPESQTR...FHV - length 111, strand -1, frame 0
    WGKLQVIGLSMWMVLFSQRFDDWLNEQEDA...ESK - length 125, strand -1, frame 1
    RGIFMSDTMVVNGSGGVPAFLFSGSTLSSY...LLK - length 361, strand -1, frame 1
    WDVKTVTGVLHHPFHLTFSLCPEGATQSGR...VKR - length 111, strand -1, frame 1
    LSHTVTDFTDQMAQVGLCQCVNVFLDEVTG...KAA - length 107, strand -1, frame 2
    RALTGLSAPGIRSQTSCDRLRELRYVPVSL...PLQ - length 119, strand -1, frame 2

Note that here we are counting the frames from the 5’ end (start) of each strand. It is sometimes easier to always count from the 5’ end (start) of the forward strand.

You could easily edit the above loop based code to build up a list of the candidate proteins, or convert this to a list comprehension. Now, one thing this code doesn’t do is keep track of where the proteins are.

You could tackle this in several ways. For example, the following code tracks the locations in terms of the protein counting, and converts back to the parent sequence by multiplying by three, then adjusting for the frame and strand:

    from Bio import SeqIO
    record = SeqIO.read("NC_005816.gb","genbank")
    table = 11
    min_pro_len = 100

    def find_orfs_with_trans(seq, trans_table, min_protein_length):
        answer = []
        seq_len = len(seq)
        for strand, nuc in [(+1, seq), (-1, seq.reverse_complement())]:
            for frame in range(3):
                trans = str(nuc[frame:].translate(trans_table))
                trans_len = len(trans)
                aa_start = 0
                aa_end = 0
                while aa_start < trans_len:
                    aa_end = trans.find("*", aa_start)
                    if aa_end == -1:
                        aa_end = trans_len
                    if aa_end-aa_start >= min_protein_length:
                        if strand == 1:
                            start = frame+aa_start*3
                            end = min(seq_len,frame+aa_end*3+3)
                        else:
                            start = seq_len-frame-aa_end*3-3
                            end = seq_len-frame-aa_start*3
                        answer.append((start, end, strand,
                                       trans[aa_start:aa_end]))
                    aa_start = aa_end+1
        answer.sort()
        return answer

    orf_list = find_orfs_with_trans(record.seq, table, min_pro_len)
    for start, end, strand, pro in orf_list:
        print("%s...%s - length %i, strand %i, %i:%i" \
              % (pro[:30], pro[-3:], len(pro), strand, start, end))

And the output:

    NQIQGVICSPDSGEFMVTFETVMEIKILHK...GVA - length 355, strand 1, 41:1109
    WDVKTVTGVLHHPFHLTFSLCPEGATQSGR...VKR - length 111, strand -1, 491:827
    KSGELRQTPPASSTLHLRLILQRSGVMMEL...NPE - length 285, strand 1, 1030:1888
    RALTGLSAPGIRSQTSCDRLRELRYVPVSL...PLQ - length 119, strand -1, 2830:3190
    RRKEHVSKKRRPQKRPRRRRFFHRLRPPDE...PTR - length 128, strand 1, 3470:3857
    GLNCSFFSICNWKFIDYINRLFQIIYLCKN...YYH - length 176, strand 1, 4249:4780
    RGIFMSDTMVVNGSGGVPAFLFSGSTLSSY...LLK - length 361, strand -1, 4814:5900
    VKKILYIKALFLCTVIKLRRFIFSVNNMKF...DLP - length 165, strand 1, 5923:6421
    LSHTVTDFTDQMAQVGLCQCVNVFLDEVTG...KAA - length 107, strand -1, 5974:6298
    GCLMKKSSIVATIITILSGSANAASSQLIP...YRF - length 315, strand 1, 6654:7602
    IYSTSEHTGEQVMRTLDEVIASRSPESQTR...FHV - length 111, strand -1, 7788:8124
    WGKLQVIGLSMWMVLFSQRFDDWLNEQEDA...ESK - length 125, strand -1, 8087:8465
    TGKQNSCQMSAIWQLRQNTATKTRQNRARI...AIK - length 100, strand 1, 8741:9044
    QGSGYAFPHASILSGIAMSHFYFLVLHAVK...CSD - length 114, strand -1, 9264:9609

If you comment out the sort statement, then the protein sequences will be shown in the same order as before, so you can check this is doing the same thing. Here we have sorted them by location to make it easier to compare to the actual annotation in the GenBank file (as visualised in Section 16.1.9).

If however all you want to find are the locations of the open reading frames, then it is a waste of time to translate every possible codon, including doing the reverse complement to search the reverse strand too. All you need to do is search for the possible stop codons (and their reverse complements). Using regular expressions is an obvious approach here (see the Python module `re`). These are an extremely powerful (but rather complex) way of describing search strings, which are supported in lots of programming languages and also command line tools like `grep` as well). You can find whole books about this topic!

## 18.2 Sequence parsing plus simple plots

This section shows some more examples of sequence parsing, using the `Bio.SeqIO` module described in Chapter 5, plus the Python library matplotlib’s `pylab` plotting interface (see the matplotlib website for a tutorial). Note that to follow these examples you will need matplotlib installed - but without it you can still try the data parsing bits.

### 18.2.1 Histogram of sequence lengths

There are lots of times when you might want to visualise the distribution of sequence lengths in a dataset – for example the range of contig sizes in a genome assembly project. In this example we’ll reuse our orchid FASTA file `ls_orchid.fasta` which has only 94 sequences.

First of all, we will use `Bio.SeqIO` to parse the FASTA file and compile a list of all the sequence lengths. You could do this with a for loop, but I find a list comprehension more pleasing:

    >>> from Bio import SeqIO
    >>> sizes = [len(rec) for rec in SeqIO.parse("ls_orchid.fasta", "fasta")]
    >>> len(sizes), min(sizes), max(sizes)
    (94, 572, 789)
    >>> sizes
    [740, 753, 748, 744, 733, 718, 730, 704, 740, 709, 700, 726, ..., 592]

Now that we have the lengths of all the genes (as a list of integers), we can use the matplotlib histogram function to display it.

    from Bio import SeqIO
    sizes = [len(rec) for rec in SeqIO.parse("ls_orchid.fasta", "fasta")]

    import pylab
    pylab.hist(sizes, bins=20)
    pylab.title("%i orchid sequences\nLengths %i to %i" \
                % (len(sizes),min(sizes),max(sizes)))
    pylab.xlabel("Sequence length (bp)")
    pylab.ylabel("Count")
    pylab.show()

That should pop up a new window containing the following graph:

Notice that most of these orchid sequences are about 740 bp long, and there could be two distinct classes of sequence here with a subset of shorter sequences.

Tip: Rather than using `pylab.show()` to show the plot in a window, you can also use `pylab.savefig(...)` to save the figure to a file (e.g. as a PNG or PDF).

### 18.2.2 Plot of sequence GC%

Another easily calculated quantity of a nucleotide sequence is the GC%. You might want to look at the GC% of all the genes in a bacterial genome for example, and investigate any outliers which could have been recently acquired by horizontal gene transfer. Again, for this example we’ll reuse our orchid FASTA file `ls_orchid.fasta`.

First of all, we will use `Bio.SeqIO` to parse the FASTA file and compile a list of all the GC percentages. Again, you could do this with a for loop, but I prefer this:

    from Bio import SeqIO
    from Bio.SeqUtils import GC

    gc_values = sorted(GC(rec.seq) for rec in SeqIO.parse("ls_orchid.fasta", "fasta"))

Having read in each sequence and calculated the GC%, we then sorted them into ascending order. Now we’ll take this list of floating point values and plot them with matplotlib:

    import pylab
    pylab.plot(gc_values)
    pylab.title("%i orchid sequences\nGC%% %0.1f to %0.1f" \
                % (len(gc_values),min(gc_values),max(gc_values)))
    pylab.xlabel("Genes")
    pylab.ylabel("GC%")
    pylab.show()

As in the previous example, that should pop up a new window containing a graph:

If you tried this on the full set of genes from one organism, you’d probably get a much smoother plot than this.

### 18.2.3 Nucleotide dot plots

A dot plot is a way of visually comparing two nucleotide sequences for similarity to each other. A sliding window is used to compare short sub-sequences to each other, often with a mis-match threshold. Here for simplicity we’ll only look for perfect matches (shown in black in the plot below).

To start off, we’ll need two sequences. For the sake of argument, we’ll just take the first two from our orchid FASTA file `ls_orchid.fasta`:

    from Bio import SeqIO
    handle = open("ls_orchid.fasta")
    record_iterator = SeqIO.parse(handle, "fasta")
    rec_one = next(record_iterator)
    rec_two = next(record_iterator)
    handle.close()

We’re going to show two approaches. Firstly, a simple naive implementation which compares all the window sized sub-sequences to each other to compiles a similarity matrix. You could construct a matrix or array object, but here we just use a list of lists of booleans created with a nested list comprehension:

    window = 7
    seq_one = str(rec_one.seq).upper()
    seq_two = str(rec_two.seq).upper()
    data = [[(seq_one[i:i+window] <> seq_two[j:j+window]) \
            for j in range(len(seq_one)-window)] \
           for i in range(len(seq_two)-window)]

Note that we have not checked for reverse complement matches here. Now we’ll use the matplotlib’s `pylab.imshow()` function to display this data, first requesting the gray color scheme so this is done in black and white:

    import pylab
    pylab.gray()
    pylab.imshow(data)
    pylab.xlabel("%s (length %i bp)" % (rec_one.id, len(rec_one)))
    pylab.ylabel("%s (length %i bp)" % (rec_two.id, len(rec_two)))
    pylab.title("Dot plot using window size %i\n(allowing no mis-matches)" % window)
    pylab.show()

That should pop up a new window containing a graph like this:

As you might have expected, these two sequences are very similar with a partial line of window sized matches along the diagonal. There are no off diagonal matches which would be indicative of inversions or other interesting events.

The above code works fine on small examples, but there are two problems applying this to larger sequences, which we will address below. First off all, this brute force approach to the all against all comparisons is very slow. Instead, we’ll compile dictionaries mapping the window sized sub-sequences to their locations, and then take the set intersection to find those sub-sequences found in both sequences. This uses more memory, but is much faster. Secondly, the `pylab.imshow()` function is limited in the size of matrix it can display. As an alternative, we’ll use the `pylab.scatter()` function.

We start by creating dictionaries mapping the window-sized sub-sequences to locations:

    window = 7
    dict_one = {}
    dict_two = {}
    for (seq, section_dict) in [(str(rec_one.seq).upper(), dict_one),
                                (str(rec_two.seq).upper(), dict_two)]:
        for i in range(len(seq)-window):
            section = seq[i:i+window]
            try:
                section_dict[section].append(i)
            except KeyError:
                section_dict[section] = [i]
    #Now find any sub-sequences found in both sequences
    #(Python 2.3 would require slightly different code here)
    matches = set(dict_one).intersection(dict_two)
    print("%i unique matches" % len(matches))

In order to use the `pylab.scatter()` we need separate lists for the x and y co-ordinates:

    #Create lists of x and y co-ordinates for scatter plot
    x = []
    y = []
    for section in matches:
        for i in dict_one[section]:
            for j in dict_two[section]:
                x.append(i)
                y.append(j)

We are now ready to draw the revised dot plot as a scatter plot:

    import pylab
    pylab.cla() #clear any prior graph
    pylab.gray()
    pylab.scatter(x,y)
    pylab.xlim(0, len(rec_one)-window)
    pylab.ylim(0, len(rec_two)-window)
    pylab.xlabel("%s (length %i bp)" % (rec_one.id, len(rec_one)))
    pylab.ylabel("%s (length %i bp)" % (rec_two.id, len(rec_two)))
    pylab.title("Dot plot using window size %i\n(allowing no mis-matches)" % window)
    pylab.show()

That should pop up a new window containing a graph like this:

Personally I find this second plot much easier to read! Again note that we have not checked for reverse complement matches here – you could extend this example to do this, and perhaps plot the forward matches in one color and the reverse matches in another.

### 18.2.4 Plotting the quality scores of sequencing read data

If you are working with second generation sequencing data, you may want to try plotting the quality data. Here is an example using two FASTQ files containing paired end reads, `SRR001666_1.fastq` for the forward reads, and `SRR001666_2.fastq` for the reverse reads. These were downloaded from the ENA sequence read archive FTP site (`ftp://ftp.sra.ebi.ac.uk/vol1/fastq/SRR001/SRR001666/SRR001666_1.fastq.gz` and `ftp://ftp.sra.ebi.ac.uk/vol1/fastq/SRR001/SRR001666/SRR001666_2.fastq.gz`), and are from E. coli – see `http://www.ebi.ac.uk/ena/data/view/SRR001666` for details.

In the following code the `pylab.subplot(...)` function is used in order to show the forward and reverse qualities on two subplots, side by side. There is also a little bit of code to only plot the first fifty reads.

    import pylab
    from Bio import SeqIO
    for subfigure in [1,2]:
        filename = "SRR001666_%i.fastq" % subfigure
        pylab.subplot(1, 2, subfigure)
        for i,record in enumerate(SeqIO.parse(filename, "fastq")):
            if i >= 50 : break #trick!
            pylab.plot(record.letter_annotations["phred_quality"])
        pylab.ylim(0,45)
        pylab.ylabel("PHRED quality score")
        pylab.xlabel("Position")
    pylab.savefig("SRR001666.png")
    print("Done")

You should note that we are using the `Bio.SeqIO` format name `fastq` here because the NCBI has saved these reads using the standard Sanger FASTQ format with PHRED scores. However, as you might guess from the read lengths, this data was from an Illumina Genome Analyzer and was probably originally in one of the two Solexa/Illumina FASTQ variant file formats instead.

This example uses the `pylab.savefig(...)` function instead of `pylab.show(...)`, but as mentioned before both are useful. Here is the result:

## 18.3 Dealing with alignments

This section can been seen as a follow on to Chapter 6.

### 18.3.1 Calculating summary information

Once you have an alignment, you are very likely going to want to find out information about it. Instead of trying to have all of the functions that can generate information about an alignment in the alignment object itself, we’ve tried to separate out the functionality into separate classes, which act on the alignment.

Getting ready to calculate summary information about an object is quick to do. Let’s say we’ve got an alignment object called `alignment`, for example read in using `Bio.AlignIO.read(...)` as described in Chapter 6. All we need to do to get an object that will calculate summary information is:

    from Bio.Align import AlignInfo
    summary_align = AlignInfo.SummaryInfo(alignment)

The `summary_align` object is very useful, and will do the following neat things for you:

1. Calculate a quick consensus sequence – see section 18.3.2
2. Get a position specific score matrix for the alignment – see section 18.3.3
3. Calculate the information content for the alignment – see section 18.3.4
4. Generate information on substitutions in the alignment – section 18.4 details using this to generate a substitution matrix.

### 18.3.2 Calculating a quick consensus sequence

The `SummaryInfo` object, described in section 18.3.1, provides functionality to calculate a quick consensus of an alignment. Assuming we’ve got a `SummaryInfo` object called `summary_align` we can calculate a consensus by doing:

    consensus = summary_align.dumb_consensus()

As the name suggests, this is a really simple consensus calculator, and will just add up all of the residues at each point in the consensus, and if the most common value is higher than some threshold value will add the common residue to the consensus. If it doesn’t reach the threshold, it adds an ambiguity character to the consensus. The returned consensus object is Seq object whose alphabet is inferred from the alphabets of the sequences making up the consensus. So doing a `print consensus` would give:

    consensus Seq('TATACATNAAAGNAGGGGGATGCGGATAAATGGAAAGGCGAAAGAAAGAAAAAAATGAAT
    ...', IUPACAmbiguousDNA())

You can adjust how `dumb_consensus` works by passing optional parameters:

the threshold
  This is the threshold specifying how common a particular residue has to be at a position before it is added. The default is 0.7 (meaning 70%).
the ambiguous character
  This is the ambiguity character to use. The default is ’N’.
the consensus alphabet
  This is the alphabet to use for the consensus sequence. If an alphabet is not specified than we will try to guess the alphabet based on the alphabets of the sequences in the alignment.

### 18.3.3 Position Specific Score Matrices

Position specific score matrices (PSSMs) summarize the alignment information in a different way than a consensus, and may be useful for different tasks. Basically, a PSSM is a count matrix. For each column in the alignment, the number of each alphabet letters is counted and totaled. The totals are displayed relative to some representative sequence along the left axis. This sequence may be the consesus sequence, but can also be any sequence in the alignment. For instance for the alignment,

    GTATC
    AT--C
    CTGTC

the PSSM is:

          G A T C
        G 1 1 0 1
        T 0 0 3 0
        A 1 1 0 0
        T 0 0 2 0
        C 0 0 0 3

Let’s assume we’ve got an alignment object called `c_align`. To get a PSSM with the consensus sequence along the side we first get a summary object and calculate the consensus sequence:

    summary_align = AlignInfo.SummaryInfo(c_align)
    consensus = summary_align.dumb_consensus()

Now, we want to make the PSSM, but ignore any `N` ambiguity residues when calculating this:

    my_pssm = summary_align.pos_specific_score_matrix(consensus,
                                                      chars_to_ignore = ['N'])

Two notes should be made about this:

1. To maintain strictness with the alphabets, you can only include characters along the top of the PSSM that are in the alphabet of the alignment object. Gaps are not included along the top axis of the PSSM.
2. The sequence passed to be displayed along the left side of the axis does not need to be the consensus. For instance, if you wanted to display the second sequence in the alignment along this axis, you would need to do:

       second_seq = alignment.get_seq_by_num(1)
       my_pssm = summary_align.pos_specific_score_matrix(second_seq
                                                         chars_to_ignore = ['N'])

The command above returns a `PSSM` object. To print out the PSSM as shown above, we simply need to do a `print(my_pssm)`, which gives:

        A   C   G   T
    T  0.0 0.0 0.0 7.0
    A  7.0 0.0 0.0 0.0
    T  0.0 0.0 0.0 7.0
    A  7.0 0.0 0.0 0.0
    C  0.0 7.0 0.0 0.0
    A  7.0 0.0 0.0 0.0
    T  0.0 0.0 0.0 7.0
    T  1.0 0.0 0.0 6.0
    ...

You can access any element of the PSSM by subscripting like `your_pssm[sequence_number][residue_count_name]`. For instance, to get the counts for the ’A’ residue in the second element of the above PSSM you would do:

    >>> print(my_pssm[1]["A"])
    7.0

The structure of the PSSM class hopefully makes it easy both to access elements and to pretty print the matrix.

### 18.3.4 Information Content

A potentially useful measure of evolutionary conservation is the information content of a sequence.

A useful introduction to information theory targeted towards molecular biologists can be found at `http://www.lecb.ncifcrf.gov/~toms/paper/primer/`. For our purposes, we will be looking at the information content of a consesus sequence, or a portion of a consensus sequence. We calculate information content at a particular column in a multiple sequence alignment using the following formula:

ICj = |
Na
∑
i=1
| Pij log | ⎛ ⎜ ⎜ ⎝ |
Pij
Qi
| ⎞ ⎟ ⎟ ⎠

where:

- ICj – The information content for the j-th column in an alignment.
- Na – The number of letters in the alphabet.
- Pij – The frequency of a particular letter i in the j-th column (i. e. if G occurred 3 out of 6 times in an aligment column, this would be 0.5)
- Qi – The expected frequency of a letter i. This is an optional argument, usage of which is left at the user’s discretion. By default, it is automatically assigned to 0.05 = 1/20 for a protein alphabet, and 0.25 = 1/4 for a nucleic acid alphabet. This is for geting the information content without any assumption of prior distributions. When assuming priors, or when using a non-standard alphabet, you should supply the values for Qi.

Well, now that we have an idea what information content is being calculated in Biopython, let’s look at how to get it for a particular region of the alignment.

First, we need to use our alignment to get an alignment summary object, which we’ll assume is called `summary_align` (see section 18.3.1) for instructions on how to get this. Once we’ve got this object, calculating the information content for a region is as easy as:

    info_content = summary_align.information_content(5, 30,
                                                     chars_to_ignore = ['N'])

Wow, that was much easier then the formula above made it look! The variable `info_content` now contains a float value specifying the information content over the specified region (from 5 to 30 of the alignment). We specifically ignore the ambiguity residue ’N’ when calculating the information content, since this value is not included in our alphabet (so we shouldn’t be interested in looking at it!).

As mentioned above, we can also calculate relative information content by supplying the expected frequencies:

    expect_freq = {
        'A' : .3,
        'G' : .2,
        'T' : .3,
        'C' : .2}

The expected should not be passed as a raw dictionary, but instead by passed as a `SubsMat.FreqTable` object (see section 20.2.2 for more information about FreqTables). The FreqTable object provides a standard for associating the dictionary with an Alphabet, similar to how the Biopython Seq class works.

To create a FreqTable object, from the frequency dictionary you just need to do:

    from Bio.Alphabet import IUPAC
    from Bio.SubsMat import FreqTable

    e_freq_table = FreqTable.FreqTable(expect_freq, FreqTable.FREQ,
                                       IUPAC.unambiguous_dna)

Now that we’ve got that, calculating the relative information content for our region of the alignment is as simple as:

    info_content = summary_align.information_content(5, 30,
                                                     e_freq_table = e_freq_table,
                                                     chars_to_ignore = ['N'])

Now, `info_content` will contain the relative information content over the region in relation to the expected frequencies.

The value return is calculated using base 2 as the logarithm base in the formula above. You can modify this by passing the parameter `log_base` as the base you want:

    info_content = summary_align.information_content(5, 30, log_base = 10,
                                                     chars_to_ignore = ['N'])

Well, now you are ready to calculate information content. If you want to try applying this to some real life problems, it would probably be best to dig into the literature on information content to get an idea of how it is used. Hopefully your digging won’t reveal any mistakes made in coding this function!

## 18.4 Substitution Matrices

Substitution matrices are an extremely important part of everyday bioinformatics work. They provide the scoring terms for classifying how likely two different residues are to substitute for each other. This is essential in doing sequence comparisons. The book “Biological Sequence Analysis” by Durbin et al. provides a really nice introduction to Substitution Matrices and their uses. Some famous substitution matrices are the PAM and BLOSUM series of matrices.

Biopython provides a ton of common substitution matrices, and also provides functionality for creating your own substitution matrices.

### 18.4.1 Using common substitution matrices

### 18.4.2 Creating your own substitution matrix from an alignment

A very cool thing that you can do easily with the substitution matrix classes is to create your own substitution matrix from an alignment. In practice, this is normally done with protein alignments. In this example, we’ll first get a Biopython alignment object and then get a summary object to calculate info about the alignment. The file containing protein.aln (also available online here) contains the Clustalw alignment output.

    >>> from Bio import AlignIO
    >>> from Bio import Alphabet
    >>> from Bio.Alphabet import IUPAC
    >>> from Bio.Align import AlignInfo
    >>> filename = "protein.aln"
    >>> alpha = Alphabet.Gapped(IUPAC.protein)
    >>> c_align = AlignIO.read(filename, "clustal", alphabet=alpha)
    >>> summary_align = AlignInfo.SummaryInfo(c_align)

Sections 6.4.1 and 18.3.1 contain more information on doing this.

Now that we’ve got our `summary_align` object, we want to use it to find out the number of times different residues substitute for each other. To make the example more readable, we’ll focus on only amino acids with polar charged side chains. Luckily, this can be done easily when generating a replacement dictionary, by passing in all of the characters that should be ignored. Thus we’ll create a dictionary of replacements for only charged polar amino acids using:

    >>> replace_info = summary_align.replacement_dictionary(["G", "A", "V", "L", "I",
    ...                                                      "M", "P", "F", "W", "S",
    ...                                                      "T", "N", "Q", "Y", "C"])

This information about amino acid replacements is represented as a python dictionary which will look something like (the order can vary):

    {('R', 'R'): 2079.0, ('R', 'H'): 17.0, ('R', 'K'): 103.0, ('R', 'E'): 2.0,
    ('R', 'D'): 2.0, ('H', 'R'): 0, ('D', 'H'): 15.0, ('K', 'K'): 3218.0,
    ('K', 'H'): 24.0, ('H', 'K'): 8.0, ('E', 'H'): 15.0, ('H', 'H'): 1235.0,
    ('H', 'E'): 18.0, ('H', 'D'): 0, ('K', 'D'): 0, ('K', 'E'): 9.0,
    ('D', 'R'): 48.0, ('E', 'R'): 2.0, ('D', 'K'): 1.0, ('E', 'K'): 45.0,
    ('K', 'R'): 130.0, ('E', 'D'): 241.0, ('E', 'E'): 3305.0,
    ('D', 'E'): 270.0, ('D', 'D'): 2360.0}

This information gives us our accepted number of replacements, or how often we expect different things to substitute for each other. It turns out, amazingly enough, that this is all of the information we need to go ahead and create a substitution matrix. First, we use the replacement dictionary information to create an Accepted Replacement Matrix (ARM):

    >>> from Bio import SubsMat
    >>> my_arm = SubsMat.SeqMat(replace_info)

With this accepted replacement matrix, we can go right ahead and create our log odds matrix (i. e. a standard type Substitution Matrix):

    >>> my_lom = SubsMat.make_log_odds_matrix(my_arm)

The log odds matrix you create is customizable with the following optional arguments:

- `exp_freq_table` – You can pass a table of expected frequencies for each alphabet. If supplied, this will be used instead of the passed accepted replacement matrix when calculate expected replacments.
- `logbase` - The base of the logarithm taken to create the log odd matrix. Defaults to base 10.
- `factor` - The factor to multiply each matrix entry by. This defaults to 10, which normally makes the matrix numbers easy to work with.
- `round_digit` - The digit to round to in the matrix. This defaults to 0 (i. e. no digits).

Once you’ve got your log odds matrix, you can display it prettily using the function `print_mat`. Doing this on our created matrix gives:

    >>> my_lom.print_mat()
    D   2
    E  -1   1
    H  -5  -4   3
    K -10  -5  -4   1
    R  -4  -8  -4  -2   2
       D   E   H   K   R

Very nice. Now we’ve got our very own substitution matrix to play with!

## 18.5 BioSQL – storing sequences in a relational database

BioSQL is a joint effort between the OBF projects (BioPerl, BioJava etc) to support a shared database schema for storing sequence data. In theory, you could load a GenBank file into the database with BioPerl, then using Biopython extract this from the database as a record object with features - and get more or less the same thing as if you had loaded the GenBank file directly as a SeqRecord using `Bio.SeqIO` (Chapter 5).

Biopython’s BioSQL module is currently documented at `http://biopython.org/wiki/BioSQL` which is part of our wiki pages.

# Chapter 19 The Biopython testing framework

Biopython has a regression testing framework (the file `run_tests.py`) based on unittest, the standard unit testing framework for Python. Providing comprehensive tests for modules is one of the most important aspects of making sure that the Biopython code is as bug-free as possible before going out. It also tends to be one of the most undervalued aspects of contributing. This chapter is designed to make running the Biopython tests and writing good test code as easy as possible. Ideally, every module that goes into Biopython should have a test (and should also have documentation!). All our developers, and anyone installing Biopython from source, are strongly encouraged to run the unit tests.

## 19.1 Running the tests

When you download the Biopython source code, or check it out from our source code repository, you should find a subdirectory call `Tests`. This contains the key script `run_tests.py`, lots of individual scripts named `test_XXX.py`, a subdirectory called `output` and lots of other subdirectories which contain input files for the test suite.

As part of building and installing Biopython you will typically run the full test suite at the command line from the Biopython source top level directory using the following:

    python setup.py test

This is actually equivalent to going to the `Tests` subdirectory and running:

    python run_tests.py

You’ll often want to run just some of the tests, and this is done like this:

    python run_tests.py test_SeqIO.py test_AlignIO.py

When giving the list of tests, the `.py` extension is optional, so you can also just type:

    python run_tests.py test_SeqIO test_AlignIO

To run the docstring tests (see section 19.3), you can use

    python run_tests.py doctest

By default, `run_tests.py` runs all tests, including the docstring tests.

If an individual test is failing, you can also try running it directly, which may give you more information.

Importantly, note that the individual unit tests come in two types:

- Simple print-and-compare scripts. These unit tests are essentially short example Python programs, which print out various output text. For a test file named `test_XXX.py` there will be a matching text file called `test_XXX` under the `output` subdirectory which contains the expected output. All that the test framework does to is run the script, and check the output agrees.
- Standard `unittest`- based tests. These will `import unittest` and then define `unittest.TestCase` classes, each with one or more sub-tests as methods starting with `test_` which check some specific aspect of the code. These tests should not print any output directly.

Currently, about half of the Biopython tests are `unittest`-style tests, and half are print-and-compare tests.

Running a simple print-and-compare test directly will usually give lots of output on screen, but does not check the output matches the expected output. If the test is failing with an exception error, it should be very easy to locate where exactly the script is failing. For an example of a print-and-compare test, try:

    python test_SeqIO.py

The `unittest`-based tests instead show you exactly which sub-section(s) of the test are failing. For example,

    python test_Cluster.py

### 19.1.1 Running the tests using Tox

Like most Python projects, you can also use Tox to run the tests on multiple Python versions, provided they are already installed in your system.

We do not provide the configuration `tox.ini` file in our code base because of difficulties pinning down user-specific settings (e.g. executable names of the Python versions). You may also only be interested in testing Biopython only against a subset of the Python versions that we support.

If you are interested in using Tox, you may start with the example `tox.ini` shown below:

    [tox]
    envlist = py26, py27, pypy, py33, py34, jython

    [testenv]
    changedir = Tests
    commands = {envpython} run_tests.py --offline
    deps =
        numpy

Using the template above, executing `tox` will test your Biopython code against Python2.6, Python2.7, PyPy, Python3.3, Python3.4, and Jython. It assumes that those Pythons’ executables are named accordingly: python2.6 for Python2.6, and so on.

## 19.2 Writing tests

Let’s say you want to write some tests for a module called `Biospam`. This can be a module you wrote, or an existing module that doesn’t have any tests yet. In the examples below, we assume that `Biospam` is a module that does simple math.

Each Biopython test can have three important files and directories involved with it:

1. `test_Biospam.py` – The actual test code for your module.
2. `Biospam` [optional]– A directory where any necessary input files will be located. Any output files that will be generated should also be written here (and preferably cleaned up after the tests are done) to prevent clogging up the main Tests directory.
3. `output/Biospam` – [for print-and-compare tests only] This file contains the expected output from running `test_Biospam.py`. This file is not needed for `unittest`-style tests, since there the validation is done in the test script `test_Biospam.py` itself.

It’s up to you to decide whether you want to write a print-and-compare test script or a `unittest`-style test script. The important thing is that you cannot mix these two styles in a single test script. Particularly, don’t use `unittest` features in a print-and-compare test.

Any script with a `test_` prefix in the `Tests` directory will be found and run by `run_tests.py`. Below, we show an example test script `test_Biospam.py` both for a print-and-compare test and for a `unittest`-based test. If you put this script in the Biopython `Tests` directory, then `run_tests.py` will find it and execute the tests contained in it:

    $ python run_tests.py
    test_Ace ... ok
    test_AlignIO ... ok
    test_BioSQL ... ok
    test_BioSQL_SeqIO ... ok
    test_Biospam ... ok
    test_CAPS ... ok
    test_Clustalw ... ok

…

    ----------------------------------------------------------------------
    Ran 107 tests in 86.127 seconds

### 19.2.1 Writing a print-and-compare test

A print-and-compare style test should be much simpler for beginners or novices to write - essentially it is just an example script using your new module.

Here is what you should do to make a print-and-compare test for the `Biospam` module.

1. Write a script called `test_Biospam.py`
   - This script should live in the Tests directory
   - The script should test all of the important functionality of the module (the more you test the better your test is, of course!).
   - Try to avoid anything which might be platform specific, such as printing floating point numbers without using an explicit formatting string to avoid having too many decimal places (different platforms can give very slightly different values).
2. If the script requires files to do the testing, these should go in the directory Tests/Biospam (if you just need something generic, like a FASTA sequence file, or a GenBank record, try and use an existing sample input file instead).
3. Write out the test output and verify the output to be correct.

   There are two ways to do this:

   1. The long way:
      - Run the script and write its output to a file. On UNIX (including Linux and Mac OS X) machines, you would do something like: `python test_Biospam.py > test_Biospam` which would write the output to the file `test_Biospam`.
      - Manually look at the file `test_Biospam` to make sure the output is correct. When you are sure it is all right and there are no bugs, you need to quickly edit the `test_Biospam` file so that the first line is: ‘`test_Biospam`’ (no quotes).
      - copy the `test_Biospam` file to the directory Tests/output
   2. The quick way:
      - Run `python run_tests.py -g test_Biospam.py`. The regression testing framework is nifty enough that it’ll put the output in the right place in just the way it likes it.
      - Go to the output (which should be in `Tests/output/test_Biospam`) and double check the output to make sure it is all correct.
4. Now change to the Tests directory and run the regression tests with `python run_tests.py`. This will run all of the tests, and you should see your test run (and pass!).
5. That’s it! Now you’ve got a nice test for your module ready to check in, or submit to Biopython. Congratulations!

As an example, the `test_Biospam.py` test script to test the `addition` and `multiplication` functions in the `Biospam` module could look as follows:

    from __future__ import print_function
    from Bio import Biospam

    print("2 + 3 =", Biospam.addition(2, 3))
    print("9 - 1 =", Biospam.addition(9, -1))
    print("2 * 3 =", Biospam.multiplication(2, 3))
    print("9 * (- 1) =", Biospam.multiplication(9, -1))

We generate the corresponding output with `python run_tests.py -g test_Biospam.py`, and check the output file `output/test_Biospam`:

    test_Biospam
    2 + 3 = 5
    9 - 1 = 8
    2 * 3 = 6
    9 * (- 1) = -9

Often, the difficulty with larger print-and-compare tests is to keep track which line in the output corresponds to which command in the test script. For this purpose, it is important to print out some markers to help you match lines in the input script with the generated output.

### 19.2.2 Writing a unittest-based test

We want all the modules in Biopython to have unit tests, and a simple print-and-compare test is better than no test at all. However, although there is a steeper learning curve, using the `unittest` framework gives a more structured result, and if there is a test failure this can clearly pinpoint which part of the test is going wrong. The sub-tests can also be run individually which is helpful for testing or debugging.

The `unittest`-framework has been included with Python since version 2.1, and is documented in the Python Library Reference (which I know you are keeping under your pillow, as recommended). There is also online documentaion for unittest. If you are familiar with the `unittest` system (or something similar like the nose test framework), you shouldn’t have any trouble. You may find looking at the existing example within Biopython helpful too.

Here’s a minimal `unittest`-style test script for `Biospam`, which you can copy and paste to get started:

    import unittest
    from Bio import Biospam

    class BiospamTestAddition(unittest.TestCase):

        def test_addition1(self):
            result = Biospam.addition(2, 3)
            self.assertEqual(result, 5)

        def test_addition2(self):
            result = Biospam.addition(9, -1)
            self.assertEqual(result, 8)

    class BiospamTestDivision(unittest.TestCase):

        def test_division1(self):
            result = Biospam.division(3.0, 2.0)
            self.assertAlmostEqual(result, 1.5)

        def test_division2(self):
            result = Biospam.division(10.0, -2.0)
            self.assertAlmostEqual(result, -5.0)

    if __name__ == "__main__":
        runner = unittest.TextTestRunner(verbosity = 2)
        unittest.main(testRunner=runner)

In the division tests, we use `assertAlmostEqual` instead of `assertEqual` to avoid tests failing due to roundoff errors; see the `unittest` chapter in the Python documentation for details and for other functionality available in `unittest` (online reference).

These are the key points of `unittest`-based tests:

- Test cases are stored in classes that derive from `unittest.TestCase` and cover one basic aspect of your code
- You can use methods `setUp` and `tearDown` for any repeated code which should be run before and after each test method. For example, the `setUp` method might be used to create an instance of the object you are testing, or open a file handle. The `tearDown` should do any “tidying up”, for example closing the file handle.
- The tests are prefixed with `test_` and each test should cover one specific part of what you are trying to test. You can have as many tests as you want in a class.
- At the end of the test script, you can use

      if __name__ == "__main__":
          runner = unittest.TextTestRunner(verbosity = 2)
          unittest.main(testRunner=runner)

  to execute the tests when the script is run by itself (rather than imported from `run_tests.py`). If you run this script, then you’ll see something like the following:

      $ python test_BiospamMyModule.py
      test_addition1 (__main__.TestAddition) ... ok
      test_addition2 (__main__.TestAddition) ... ok
      test_division1 (__main__.TestDivision) ... ok
      test_division2 (__main__.TestDivision) ... ok

      ----------------------------------------------------------------------
      Ran 4 tests in 0.059s

      OK

- To indicate more clearly what each test is doing, you can add docstrings to each test. These are shown when running the tests, which can be useful information if a test is failing.

      import unittest
      from Bio import Biospam

      class BiospamTestAddition(unittest.TestCase):

          def test_addition1(self):
              """An addition test"""
              result = Biospam.addition(2, 3)
              self.assertEqual(result, 5)

          def test_addition2(self):
              """A second addition test"""
              result = Biospam.addition(9, -1)
              self.assertEqual(result, 8)

      class BiospamTestDivision(unittest.TestCase):

          def test_division1(self):
              """Now let's check division"""
              result = Biospam.division(3.0, 2.0)
              self.assertAlmostEqual(result, 1.5)

          def test_division2(self):
              """A second division test"""
              result = Biospam.division(10.0, -2.0)
              self.assertAlmostEqual(result, -5.0)

      if __name__ == "__main__":
          runner = unittest.TextTestRunner(verbosity = 2)
          unittest.main(testRunner=runner)

  Running the script will now show you:

      $ python test_BiospamMyModule.py
      An addition test ... ok
      A second addition test ... ok
      Now let's check division ... ok
      A second division test ... ok

      ----------------------------------------------------------------------
      Ran 4 tests in 0.001s

      OK

If your module contains docstring tests (see section 19.3), you may want to include those in the tests to be run. You can do so as follows by modifying the code under `if __name__ == "__main__":` to look like this:

    if __name__ == "__main__":
        unittest_suite = unittest.TestLoader().loadTestsFromName("test_Biospam")
        doctest_suite = doctest.DocTestSuite(Biospam)
        suite = unittest.TestSuite((unittest_suite, doctest_suite))
        runner = unittest.TextTestRunner(sys.stdout, verbosity = 2)
        runner.run(suite)

This is only relevant if you want to run the docstring tests when you execute `python test_Biospam.py`; with `python run_tests.py`, the docstring tests are run automatically (assuming they are included in the list of docstring tests in `run_tests.py`, see the section below).

## 19.3 Writing doctests

Python modules, classes and functions support built in documentation using docstrings. The doctest framework (included with Python) allows the developer to embed working examples in the docstrings, and have these examples automatically tested.

Currently only a small part of Biopython includes doctests. The `run_tests.py` script takes care of running the doctests. For this purpose, at the top of the `run_tests.py` script is a manually compiled list of modules to test, which allows us to skip modules with optional external dependencies which may not be installed (e.g. the Reportlab and NumPy libraries). So, if you’ve added some doctests to the docstrings in a Biopython module, in order to have them included in the Biopython test suite, you must update `run_tests.py` to include your module. Currently, the relevant part of `run_tests.py` looks as follows:

    # This is the list of modules containing docstring tests.
    # If you develop docstring tests for other modules, please add
    # those modules here.
    DOCTEST_MODULES = ["Bio.Seq",
                       "Bio.SeqRecord",
                       "Bio.SeqIO",
                       "...",
                      ]
    #Silently ignore any doctests for modules requiring numpy!
    try:
        import numpy
        DOCTEST_MODULES.extend(["Bio.Statistics.lowess"])
    except ImportError:
        pass

Note that we regard doctests primarily as documentation, so you should stick to typical usage. Generally complicated examples dealing with error conditions and the like would be best left to a dedicated unit test.

Note that if you want to write doctests involving file parsing, defining the file location complicates matters. Ideally use relative paths assuming the code will be run from the `Tests` directory, see the `Bio.SeqIO` doctests for an example of this.

To run the docstring tests only, use

    $ python run_tests.py doctest

# Chapter 20 Advanced

## 20.1 Parser Design

Many of the older Biopython parsers were built around an event-oriented design that includes Scanner and Consumer objects.

Scanners take input from a data source and analyze it line by line, sending off an event whenever it recognizes some information in the data. For example, if the data includes information about an organism name, the scanner may generate an `organism_name` event whenever it encounters a line containing the name.

Consumers are objects that receive the events generated by Scanners. Following the previous example, the consumer receives the `organism_name` event, and the processes it in whatever manner necessary in the current application.

This is a very flexible framework, which is advantageous if you want to be able to parse a file format into more than one representation. For example, the `Bio.GenBank` module uses this to construct either `SeqRecord` objects or file-format-specific record objects.

More recently, many of the parsers added for `Bio.SeqIO` and `Bio.AlignIO` take a much simpler approach, but only generate a single object representation (`SeqRecord` and `MultipleSeqAlignment` objects respectively). In some cases the `Bio.SeqIO` parsers actually wrap another Biopython parser - for example, the `Bio.SwissProt` parser produces SwissProt format specific record objects, which get converted into `SeqRecord` objects.

## 20.2 Substitution Matrices

### 20.2.1 SubsMat

This module provides a class and a few routines for generating substitution matrices, similar to BLOSUM or PAM matrices, but based on user-provided data. Additionally, you may select a matrix from MatrixInfo.py, a collection of established substitution matrices. The `SeqMat` class derives from a dictionary:

    class SeqMat(dict)

The dictionary is of the form `{(i1,j1):n1, (i1,j2):n2,...,(ik,jk):nk}` where i, j are alphabet letters, and n is a value.

1. Attributes
   1. `self.alphabet`: a class as defined in Bio.Alphabet
   2. `self.ab_list`: a list of the alphabet’s letters, sorted. Needed mainly for internal purposes
2. Methods

   1.     __init__(self,data=None,alphabet=None, mat_name='', build_later=0):

      1. `data`: can be either a dictionary, or another SeqMat instance.
      2. `alphabet`: a Bio.Alphabet instance. If not provided, construct an alphabet from data.
      3. `mat_name`: matrix name, such as "BLOSUM62" or "PAM250"
      4. `build_later`: default false. If true, user may supply only alphabet and empty dictionary, if intending to build the matrix later. this skips the sanity check of alphabet size vs. matrix size.

   2.     entropy(self,obs_freq_mat)

      1. `obs_freq_mat`: an observed frequency matrix. Returns the matrix’s entropy, based on the frequency in `obs_freq_mat`. The matrix instance should be LO or SUBS.

   3.     sum(self)

      Calculates the sum of values for each letter in the matrix’s alphabet, and returns it as a dictionary of the form `{i1: s1, i2: s2,...,in:sn}`, where:
      - i: an alphabet letter;
      - s: sum of all values in a half-matrix for that letter;
      - n: number of letters in alphabet.

   4.     print_mat(self,f,format="%4d",bottomformat="%4s",alphabet=None)

      prints the matrix to file handle f. `format` is the format field for the matrix values; `bottomformat` is the format field for the bottom row, containing matrix letters. Example output for a 3-letter alphabet matrix:

          A 23
          B 12 34
          C 7  22  27
            A   B   C

      The `alphabet` optional argument is a string of all characters in the alphabet. If supplied, the order of letters along the axes is taken from the string, rather than by alphabetical order.

3. Usage

   The following section is laid out in the order by which most people wish to generate a log-odds matrix. Of course, interim matrices can be generated and investigated. Most people just want a log-odds matrix, that’s all.

   1. Generating an Accepted Replacement Matrix

      Initially, you should generate an accepted replacement matrix (ARM) from your data. The values in ARM are the counted number of replacements according to your data. The data could be a set of pairs or multiple alignments. So for instance if Alanine was replaced by Cysteine 10 times, and Cysteine by Alanine 12 times, the corresponding ARM entries would be:

          ('A','C'): 10, ('C','A'): 12

      as order doesn’t matter, user can already provide only one entry:

          ('A','C'): 22

      A SeqMat instance may be initialized with either a full (first method of counting: 10, 12) or half (the latter method, 22) matrices. A full protein alphabet matrix would be of the size 20x20 = 400. A half matrix of that alphabet would be 20x20/2 + 20/2 = 210. That is because same-letter entries don’t change. (The matrix diagonal). Given an alphabet size of N:

      1. Full matrix size: N*N
      2. Half matrix size: N(N+1)/2

      The SeqMat constructor automatically generates a half-matrix, if a full matrix is passed. If a half matrix is passed, letters in the key should be provided in alphabetical order: (’A’,’C’) and not (’C’,A’).

      At this point, if all you wish to do is generate a log-odds matrix, please go to the section titled Example of Use. The following text describes the nitty-gritty of internal functions, to be used by people who wish to investigate their nucleotide/amino-acid frequency data more thoroughly.

   2. Generating the observed frequency matrix (OFM)

      Use:

          OFM = SubsMat._build_obs_freq_mat(ARM)

      The OFM is generated from the ARM, only instead of replacement counts, it contains replacement frequencies.

   3. Generating an expected frequency matrix (EFM)

      Use:

          EFM = SubsMat._build_exp_freq_mat(OFM,exp_freq_table)

      1. `exp_freq_table`: should be a FreqTable instance. See section 20.2.2 for detailed information on FreqTable. Briefly, the expected frequency table has the frequencies of appearance for each member of the alphabet. It is implemented as a dictionary with the alphabet letters as keys, and each letter’s frequency as a value. Values sum to 1.

      The expected frequency table can (and generally should) be generated from the observed frequency matrix. So in most cases you will generate `exp_freq_table` using:

          >>> exp_freq_table = SubsMat._exp_freq_table_from_obs_freq(OFM)
          >>> EFM = SubsMat._build_exp_freq_mat(OFM, exp_freq_table)

      But you can supply your own `exp_freq_table`, if you wish

   4. Generating a substitution frequency matrix (SFM)

      Use:

          SFM = SubsMat._build_subs_mat(OFM,EFM)

      Accepts an OFM, EFM. Provides the division product of the corresponding values.

   5. Generating a log-odds matrix (LOM)

      Use:

          LOM=SubsMat._build_log_odds_mat(SFM[,logbase=10,factor=10.0,round_digit=1])

      1. Accepts an SFM.
      2. `logbase`: base of the logarithm used to generate the log-odds values.
      3. `factor`: factor used to multiply the log-odds values. Each entry is generated by log(LOM[key])*factor And rounded to the `round_digit` place after the decimal point, if required.
4. Example of use

   As most people would want to generate a log-odds matrix, with minimum hassle, SubsMat provides one function which does it all:

       make_log_odds_matrix(acc_rep_mat,exp_freq_table=None,logbase=10,
                             factor=10.0,round_digit=0):

   1. `acc_rep_mat`: user provided accepted replacements matrix
   2. `exp_freq_table`: expected frequencies table. Used if provided, if not, generated from the `acc_rep_mat`.
   3. `logbase`: base of logarithm for the log-odds matrix. Default base 10.
   4. `round_digit`: number after decimal digit to which result should be rounded. Default zero.

### 20.2.2 FreqTable

    FreqTable.FreqTable(UserDict.UserDict)

1. Attributes:
   1. `alphabet`: A Bio.Alphabet instance.
   2. `data`: frequency dictionary
   3. `count`: count dictionary (in case counts are provided).
2. Functions:
   1. `read_count(f)`: read a count file from stream f. Then convert to frequencies.
   2. `read_freq(f)`: read a frequency data file from stream f. Of course, we then don’t have the counts, but it is usually the letter frequencies which are interesting.
3. Example of use: The expected count of the residues in the database is sitting in a file, whitespace delimited, in the following format (example given for a 3-letter alphabet):

       A   35
       B   65
       C   100

   And will be read using the `FreqTable.read_count(file_handle)` function.

   An equivalent frequency file:

       A  0.175
       B  0.325
       C  0.5

   Conversely, the residue frequencies or counts can be passed as a dictionary. Example of a count dictionary (3-letter alphabet):

       {'A': 35, 'B': 65, 'C': 100}

   Which means that an expected data count would give a 0.5 frequency for ’C’, a 0.325 probability of ’B’ and a 0.175 probability of ’A’ out of 200 total, sum of A, B and C)

   A frequency dictionary for the same data would be:

       {'A': 0.175, 'B': 0.325, 'C': 0.5}

   Summing up to 1.

   When passing a dictionary as an argument, you should indicate whether it is a count or a frequency dictionary. Therefore the FreqTable class constructor requires two arguments: the dictionary itself, and FreqTable.COUNT or FreqTable.FREQ indicating counts or frequencies, respectively.

   Read expected counts. readCount will already generate the frequencies Any one of the following may be done to geerate the frequency table (ftab):

       >>> from SubsMat import *
       >>> ftab = FreqTable.FreqTable(my_frequency_dictionary, FreqTable.FREQ)
       >>> ftab = FreqTable.FreqTable(my_count_dictionary, FreqTable.COUNT)
       >>> ftab = FreqTable.read_count(open('myCountFile'))
       >>> ftab = FreqTable.read_frequency(open('myFrequencyFile'))

# Chapter 21 Where to go from here – contributing to Biopython

## 21.1 Bug Reports + Feature Requests

Getting feedback on the Biopython modules is very important to us. Open-source projects like this benefit greatly from feedback, bug-reports (and patches!) from a wide variety of contributors.

The main forums for discussing feature requests and potential bugs are the Biopython mailing lists:

- biopython@biopython.org – An unmoderated list for discussion of anything to do with Biopython.
- biopython-dev@biopython.org – A more development oriented list that is mainly used by developers (but anyone is free to contribute!).

Additionally, if you think you’ve found a new bug, you can submit it to our issue tracker at `https://github.com/biopython/biopython/issues` (this has replaced the older tracker hosted at `http://redmine.open-bio.org/projects/biopython`). This way, it won’t get buried in anyone’s Inbox and forgotten about.

## 21.2 Mailing lists and helping newcomers

We encourage all our uses to sign up to the main Biopython mailing list. Once you’ve got the hang of an area of Biopython, we’d encourage you to help answer questions from beginners. After all, you were a beginner once.

## 21.3 Contributing Documentation

We’re happy to take feedback or contributions - either via a bug-report or on the Mailing List. While reading this tutorial, perhaps you noticed some topics you were interested in which were missing, or not clearly explained. There is also Biopython’s built in documentation (the docstrings, these are also online), where again, you may be able to help fill in any blanks.

## 21.4 Contributing cookbook examples

As explained in Chapter 18, Biopython now has a wiki collection of user contributed “cookbook” examples, `http://biopython.org/wiki/Category:Cookbook` – maybe you can add to this?

## 21.5 Maintaining a distribution for a platform

We currently provide source code archives (suitable for any OS, if you have the right build tools installed), and Windows Installers which are just click and run. This covers all the major operating systems.

Most major Linux distributions have volunteers who take these source code releases, and compile them into packages for Linux users to easily install (taking care of dependencies etc). This is really great and we are of course very grateful. If you would like to contribute to this work, please find out more about how your Linux distribution handles this.

Below are some tips for certain platforms to maybe get people started with helping out:

Windows
  – Windows products typically have a nice graphical installer that installs all of the essential components in the right place. We use Distutils to create a installer of this type fairly easily.

  You must first make sure you have a C compiler on your Windows computer, and that you can compile and install things (this is the hard bit - see the Biopython installation instructions for info on how to do this).

  Once you are setup with a C compiler, making the installer just requires doing:

      python setup.py bdist_wininst

  Now you’ve got a Windows installer. Congrats! At the moment we have no trouble shipping installers built on 32 bit windows. If anyone would like to look into supporting 64 bit Windows that would be great.

RPMs
  – RPMs are pretty popular package systems on some Linux platforms. There is lots of documentation on RPMs available at `http://www.rpm.org` to help you get started with them. To create an RPM for your platform is really easy. You just need to be able to build the package from source (having a C compiler that works is thus essential) – see the Biopython installation instructions for more info on this.

  To make the RPM, you just need to do:

      python setup.py bdist_rpm

  This will create an RPM for your specific platform and a source RPM in the directory `dist`. This RPM should be good and ready to go, so this is all you need to do! Nice and easy.

Macintosh
  – Since Apple moved to Mac OS X, things have become much easier on the Mac. We generally treat it as just another Unix variant, and installing Biopython from source is just as easy as on Linux. The easiest way to get all the GCC compilers etc installed is to install Apple’s X-Code. We might be able to provide click and run installers for Mac OS X, but to date there hasn’t been any demand.

Once you’ve got a package, please test it on your system to make sure it installs everything in a good way and seems to work properly. Once you feel good about it, send it off to one of the Biopython developers (write to our main mailing list at biopython@biopython.org if you’re not sure who to send it to) and you’ve done it. Thanks!

## 21.6 Contributing Unit Tests

Even if you don’t have any new functionality to add to Biopython, but you want to write some code, please consider extending our unit test coverage. We’ve devoted all of Chapter 19 to this topic.

## 21.7 Contributing Code

There are no barriers to joining Biopython code development other than an interest in creating biology-related code in Python. The best place to express an interest is on the Biopython mailing lists – just let us know you are interested in coding and what kind of stuff you want to work on. Normally, we try to have some discussion on modules before coding them, since that helps generate good ideas – then just feel free to jump right in and start coding!

The main Biopython release tries to be fairly uniform and interworkable, to make it easier for users. You can read about some of (fairly informal) coding style guidelines we try to use in Biopython in the contributing documentation at `http://biopython.org/wiki/Contributing`. We also try to add code to the distribution along with tests (see Chapter 19 for more info on the regression testing framework) and documentation, so that everything can stay as workable and well documented as possible (including docstrings). This is, of course, the most ideal situation, under many situations you’ll be able to find other people on the list who will be willing to help add documentation or more tests for your code once you make it available. So, to end this paragraph like the last, feel free to start working!

Please note that to make a code contribution you must have the legal right to contribute it and license it under the Biopython license. If you wrote it all yourself, and it is not based on any other code, this shouldn’t be a problem. However, there are issues if you want to contribute a derivative work - for example something based on GPL or LPGL licenced code would not be compatible with our license. If you have any queries on this, please discuss the issue on the biopython-dev mailing list.

Another point of concern for any additions to Biopython regards any build time or run time dependencies. Generally speaking, writing code to interact with a standalone tool (like BLAST, EMBOSS or ClustalW) doesn’t present a big problem. However, any dependency on another library - even a Python library (especially one needed in order to compile and install Biopython like NumPy) would need further discussion.

Additionally, if you have code that you don’t think fits in the distribution, but that you want to make available, we maintain Script Central (`http://biopython.org/wiki/Scriptcentral`) which has pointers to freely available code in Python for bioinformatics.

Hopefully this documentation has got you excited enough about Biopython to try it out (and most importantly, contribute!). Thanks for reading all the way through!

# Chapter 22 Appendix: Useful stuff about Python

If you haven’t spent a lot of time programming in Python, many questions and problems that come up in using Biopython are often related to Python itself. This section tries to present some ideas and code that come up often (at least for us!) while using the Biopython libraries. If you have any suggestions for useful pointers that could go here, please contribute!

## 22.1 What the heck is a handle?

Handles are mentioned quite frequently throughout this documentation, and are also fairly confusing (at least to me!). Basically, you can think of a handle as being a “wrapper” around text information.

Handles provide (at least) two benefits over plain text information:

1. They provide a standard way to deal with information stored in different ways. The text information can be in a file, or in a string stored in memory, or the output from a command line program, or at some remote website, but the handle provides a common way of dealing with information in all of these formats.
2. They allow text information to be read incrementally, instead of all at once. This is really important when you are dealing with huge text files which would use up all of your memory if you had to load them all.

Handles can deal with text information that is being read (e. g. reading from a file) or written (e. g. writing information to a file). In the case of a “read” handle, commonly used functions are `read()`, which reads the entire text information from the handle, and `readline()`, which reads information one line at a time. For “write” handles, the function `write()` is regularly used.

The most common usage for handles is reading information from a file, which is done using the built-in Python function `open`. Here, we open a handle to the file m_cold.fasta (also available online here):

    >>> handle = open("m_cold.fasta", "r")
    >>> handle.readline()
    ">gi|8332116|gb|BE037100.1|BE037100 MP14H09 MP Mesembryanthemum ...\n"

Handles are regularly used in Biopython for passing information to parsers. For example, since Biopython 1.54 the main functions in `Bio.SeqIO` and `Bio.AlignIO` have allowed you to use a filename instead of a handle:

    from Bio import SeqIO
    for record in SeqIO.parse("m_cold.fasta", "fasta"):
        print(record.id, len(record))

On older versions of Biopython you had to use a handle, e.g.

    from Bio import SeqIO
    handle = open("m_cold.fasta", "r")
    for record in SeqIO.parse(handle, "fasta"):
        print(record.id, len(record))
    handle.close()

This pattern is still useful - for example suppose you have a gzip compressed FASTA file you want to parse:

    import gzip
    from Bio import SeqIO
    handle = gzip.open("m_cold.fasta.gz")
    for record in SeqIO.parse(handle, "fasta"):
        print(record.id, len(record))
    handle.close()

See Section 5.2 for more examples like this, including reading bzip2 compressed files.

### 22.1.1 Creating a handle from a string

One useful thing is to be able to turn information contained in a string into a handle. The following example shows how to do this using `cStringIO` from the Python standard library:

    >>> my_info = 'A string\n with multiple lines.'
    >>> print(my_info)
    A string
     with multiple lines.
    >>> from StringIO import StringIO
    >>> my_info_handle = StringIO(my_info)
    >>> first_line = my_info_handle.readline()
    >>> print(first_line)
    A string
    <BLANKLINE>
    >>> second_line = my_info_handle.readline()
    >>> print(second_line)
     with multiple lines.

# References

[1]
  Peter J. A. Cock, Tiago Antao, Jeffrey T. Chang, Brad A. Chapman, Cymon J. Cox, Andrew Dalke, Iddo Friedberg, Thomas Hamelryck, Frank Kauff, Bartek Wilczynski, Michiel J. L. de Hoon: “Biopython: freely available Python tools for computational molecular biology and bioinformatics”. Bioinformatics 25 (11), 1422–1423 (2009). doi:10.1093/bioinformatics/btp163,
[2]
  Leighton Pritchard, Jennifer A. White, Paul R.J. Birch, Ian K. Toth: “GenomeDiagram: a python package for the visualization of large-scale genomic data”. Bioinformatics 22 (5): 616–617 (2006). doi:10.1093/bioinformatics/btk021,
[3]
  Ian K. Toth, Leighton Pritchard, Paul R. J. Birch: “Comparative genomics reveals what makes an enterobacterial plant pathogen”. Annual Review of Phytopathology 44: 305–336 (2006). doi:10.1146/annurev.phyto.44.070505.143444,
[4]
  Géraldine A. van der Auwera, Jaroslaw E. Król, Haruo Suzuki, Brian Foster, Rob van Houdt, Celeste J. Brown, Max Mergeay, Eva M. Top: “Plasmids captured in C. metallidurans CH34: defining the PromA family of broad-host-range plasmids”. Antonie van Leeuwenhoek 96 (2): 193–204 (2009). doi:10.1007/s10482-009-9316-9
[5]
  Caroline Proux, Douwe van Sinderen, Juan Suarez, Pilar Garcia, Victor Ladero, Gerald F. Fitzgerald, Frank Desiere, Harald Brüssow: “The dilemma of phage taxonomy illustrated by comparative genomics of Sfi21-Like Siphoviridae in lactic acid bacteria”. Journal of Bacteriology 184 (21): 6026–6036 (2002). http://dx.doi.org/10.1128/JB.184.21.6026-6036.2002
[6]
  Florian Jupe, Leighton Pritchard, Graham J. Etherington, Katrin MacKenzie, Peter JA Cock, Frank Wright, Sanjeev Kumar Sharma1, Dan Bolser, Glenn J Bryan, Jonathan DG Jones, Ingo Hein: “Identification and localisation of the NB-LRR gene family within the potato genome”. BMC Genomics 13: 75 (2012). http://dx.doi.org/10.1186/1471-2164-13-75
[7]
  Peter J. A. Cock, Christopher J. Fields, Naohisa Goto, Michael L. Heuer, Peter M. Rice: “The Sanger FASTQ file format for sequences with quality scores, and the Solexa/Illumina FASTQ variants”. Nucleic Acids Research 38 (6): 1767–1771 (2010). doi:10.1093/nar/gkp1137
[8]
  Patrick O. Brown, David Botstein: “Exploring the new world of the genome with DNA microarrays”. Nature Genetics 21 (Supplement 1), 33–37 (1999). doi:10.1038/4462
[9]
  Eric Talevich, Brandon M. Invergo, Peter J.A. Cock, Brad A. Chapman: “Bio.Phylo: A unified toolkit for processing, analyzing and visualizing phylogenetic trees in Biopython”. BMC Bioinformatics 13: 209 (2012). doi:10.1186/1471-2105-13-209
[10]
  Athel Cornish-Bowden: “Nomenclature for incompletely specified bases in nucleic acid sequences: Recommendations 1984.” Nucleic Acids Research 13 (9): 3021–3030 (1985). doi:10.1093/nar/13.9.3021
[11]
  Douglas R. Cavener: “Comparison of the consensus sequence flanking translational start sites in Drosophila and vertebrates.” Nucleic Acids Research 15 (4): 1353–1361 (1987). doi:10.1093/nar/15.4.1353
[12]
  Timothy L. Bailey and Charles Elkan: “Fitting a mixture model by expectation maximization to discover motifs in biopolymers”, Proceedings of the Second International Conference on Intelligent Systems for Molecular Biology 28–36. AAAI Press, Menlo Park, California (1994).
[13]
  Brad Chapman and Jeff Chang: “Biopython: Python tools for computational biology”. ACM SIGBIO Newsletter 20 (2): 15–19 (August 2000).
[14]
  Michiel J. L. de Hoon, Seiya Imoto, John Nolan, Satoru Miyano: “Open source clustering software”. Bioinformatics 20 (9): 1453–1454 (2004). doi:10.1093/bioinformatics/bth078
[15]
  Michiel B. Eisen, Paul T. Spellman, Patrick O. Brown, David Botstein: “Cluster analysis and display of genome-wide expression patterns”. Proceedings of the National Academy of Science USA 95 (25): 14863–14868 (1998). doi:10.1073/pnas.96.19.10943-c
[16]
  Gene H. Golub, Christian Reinsch: “Singular value decomposition and least squares solutions”. In Handbook for Automatic Computation, 2, (Linear Algebra) (J. H. Wilkinson and C. Reinsch, eds), 134–151. New York: Springer-Verlag (1971).
[17]
  Gene H. Golub, Charles F. Van Loan: Matrix computations, 2nd edition (1989).
[18]
  Thomas Hamelryck and Bernard Manderick: 11PDB parser and structure class implemented in Python”. Bioinformatics, 19 (17): 2308–2310 (2003) doi: 10.1093/bioinformatics/btg299.
[19]
  Thomas Hamelryck: “Efficient identification of side-chain patterns using a multidimensional index tree”. Proteins 51 (1): 96–108 (2003). doi:10.1002/prot.10338
[20]
  Thomas Hamelryck: “An amino acid has two sides; A new 2D measure provides a different view of solvent exposure”. Proteins 59 (1): 29–48 (2005). doi:10.1002/prot.20379.
[21]
  John A. Hartiga. Clustering algorithms. New York: Wiley (1975).
[22]
  Anil L. Jain, Richard C. Dubes: Algorithms for clustering data. Englewood Cliffs, N.J.: Prentice Hall (1988).
[23]
  Voratas Kachitvichyanukul, Bruce W. Schmeiser: Binomial Random Variate Generation. Communications of the ACM 31 (2): 216–222 (1988). doi:10.1145/42372.42381
[24]
  Teuvo Kohonen: “Self-organizing maps”, 2nd Edition. Berlin; New York: Springer-Verlag (1997).
[25]
  Pierre L’Ecuyer: “Efficient and Portable Combined Random Number Generators.” Communications of the ACM 31 (6): 742–749,774 (1988). doi:10.1145/62959.62969
[26]
  Indraneel Majumdar, S. Sri Krishna, Nick V. Grishin: “PALSSE: A program to delineate linear secondary structural elements from protein structures.” BMC Bioinformatics, 6: 202 (2005). doi:10.1186/1471-2105-6-202.
[27]
  V. Matys, E. Fricke, R. Geffers, E. Gössling, M. Haubrock, R. Hehl, K. Hornischer, D. Karas, A.E. Kel, O.V. Kel-Margoulis, D.U. Kloos, S. Land, B. Lewicki-Potapov, H. Michael, R. Münch, I. Reuter, S. Rotert, H. Saxel, M. Scheer, S. Thiele, E. Wingender E: “TRANSFAC: transcriptional regulation, from patterns to profiles.” Nucleic Acids Research 31 (1): 374–378 (2003). doi:10.1093/nar/gkg108
[28]
  Robin Sibson: “SLINK: An optimally efficient algorithm for the single-link cluster method”. The Computer Journal 16 (1): 30–34 (1973). doi:10.1093/comjnl/16.1.30
[29]
  George W. Snedecor, William G. Cochran: Statistical methods. Ames, Iowa: Iowa State University Press (1989).
[30]
  Pablo Tamayo, Donna Slonim, Jill Mesirov, Qing Zhu, Sutisak Kitareewan, Ethan Dmitrovsky, Eric S. Lander, Todd R. Golub: “Interpreting patterns of gene expression with self-organizing maps: Methods and application to hematopoietic differentiation”. Proceedings of the National Academy of Science USA 96 (6): 2907–2912 (1999). doi:10.1073/pnas.96.6.2907
[31]
  Robert C. Tryon, Daniel E. Bailey: Cluster analysis. New York: McGraw-Hill (1970).
[32]
  John W. Tukey: “Exploratory data analysis”. Reading, Mass.: Addison-Wesley Pub. Co. (1977).
[33]
  Ka Yee Yeung, Walter L. Ruzzo: “Principal Component Analysis for clustering gene expression data”. Bioinformatics 17 (9): 763–774 (2001). doi:10.1093/bioinformatics/17.9.763
[34]
  Alok Saldanha: “Java Treeview—extensible visualization of microarray data”. Bioinformatics 20 (17): 3246–3248 (2004). http://dx.doi.org/10.1093/bioinformatics/bth349

> This document was translated from LATEX by HEVEA.