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‘ulla’ is a program for calculating environment-specific substitution tables from user providing environmental class definitions and sequence alignments with the annotations of the environment classes.

  • Environment-specific substitution table generation based on user providing environmental class definition

  • Entropy-based smoothing procedures to cope with sparse data problem

  • BLOSUM-like weighting procedures using PID threshold

  • Heat Map generation for substitution tables

Following RubyGems will be automatically installed if you have rubygems installed on your machine

~user $ sudo gem install ulla

It’s pretty much the same as Kenji’s subst (mordred.bioc.cam.ac.uk/~kenji/subst/), so in most cases, you can swap ‘subst’ with ‘ulla’.

~user $ ulla -l TEMLIST-file -c classdef.dat
            or
~user $ ulla -f TEM-file -c classdef.dat
--tem-file (-f) FILE: a tem file
--tem-list (-l) FILE: a list for tem files
--classdef (-c) FILE: a file for the defintion of environmental class
                      if no definition file provided, --cys (-y) 2 and --nosmooth options automatcially applied
--outfile (-o) FILE: output filename (default 'allmat.dat')
--weight (-w) INTEGER: clustering level (PID) for the BLOSUM-like weighting (default: 60)
--noweight: calculate substitution counts with no weights
--environment (-e) INTEGER:
    0 for considering only substituted amino acids' environments (default)
    1 for considering both substituted and substituting amino acids' environments
--smooth (-s) INTEGER:
    0 for partial smoothing (default)
    1 for full smoothing
--p1smooth: perform smoothing for p1 probability calculation when partial smoothing
--nosmooth: perform no smoothing operation
--cys (-y) INTEGER:
    0 for using C and J only for structure (default)
    1 for both structure and sequence
    2 for using only C for both (must be set when you have no 'disulphide' or 'disulfide' annotation in templates)
--output INTEGER:
    0 for raw counts (no smoothing performed)
    1 for probabilities
    2 for log-odds (default)
--noroundoff: do not round off log odds ratio
--scale INTEGER: log-odds matrices in 1/n bit units (default 3)
--sigma DOUBLE: change the sigma value for smoothing (default 5.0)
--autosigma: automatically adjust the sigma value for smoothing
--add DOUBLE: add this value to raw counts when deriving log-odds without smoothing (default 0)
--pidmin DOUBLE: count substitutions only for pairs with PID equal to or greater than this value (default none)
--pidmax DOUBLE: count substitutions only for pairs with PID smaller than this value (default none)
--heatmap INTEGER:
    0 create a heat map file for each substitution table
    1 create one big file containing all heat maps from substitution tables
    2 do both 0 and 1
--heatmap-format INTEGER:
    0 for Portable Network Graphics (PNG) Format (default)
    1 for Graphics Interchange Format (GIF)
    2 for Joint Photographic Experts Group (JPEG) Format
    3 for Microsoft Windows bitmap (BMP) Format
    4 for Portable Document Format (PDF)
--heatmap-columns INTEGER: number of tables to print in a row when --heatmap 1 or 2 set (default: sqrt(no. of tables))
--heatmap-stem STRING: stem for a file name when --heatmap 1 or 2 set (default: 'heatmap')
--heatmap-values: print values in the cells when generating heat maps
--verbose (-v) INTEGER
    0 for ERROR level
    1 for WARN or above level (default)
    2 for INFO or above level
    3 for DEBUG or above level
--version: print version
--help (-h): show help
  1. Prepare an environmental class definition file. For more details, please check this notes (mordred.bioc.cam.ac.uk/~kenji/subst/NOTES). You can download a sample environmental class definition file from mordred.bioc.cam.ac.uk/~kenji/subst/classdef.dat

    ~user $ cat classdef.dat
    #
    # name of feature (string); values adopted in .tem file (string); class labels assigned for each value (string);
    # constrained or not (T or F); silent (used as masks)? (T or F)
    #
    secondary structure and phi angle;HEPC;HEPC;T;F
    solvent accessibility;TF;Aa;F;F
  2. Prepare structural alignments and their annotations of above environmental classes in PIR format. You can download sample alignments from mordred.bioc.cam.ac.uk/~kenji/subst/alltem-allmask.tar.gz or from www-cryst.bioc.cam.ac.uk/ESST/

    ~user $ cat sample1.tem
    >P1;1mnma
    sequence
    QKERRKIEIKFIENKTRRHVTFSKRKHGIMKKAFELSVLTGTQVLLLVVSETGLVYTFSTPKFEPIVTQQEGRNL
    IQACLNAPDD*
    >P1;1egwa
    sequence
    --GRKKIQITRIMDERNRQVTFTKRKFGLMKKAYELSVLCDCEIALIIFNSSNKLFQYASTDMDKVLLKYTEY--
    ----------*
    >P1;1mnma
    secondary structure and phi angle
    CPCCCCCCCCCCCCHHHHHHHHHHHHHHHHHHHHHHHHHHPCCCEEEEECCCPCEEEEECCCCCHHHHCHHHHHH
    HHHHHCCCCP*
    >P1;1egwa
    secondary structure and phi angle
    --CCCCCCCCCCCCHHHHHHHHHHHHHHHHHHHHHHHHHCPCCCEEEEECCCPCEEEEECCCHHHHHHHHHHC--
    ----------*
    >P1;1mnma
    solvent accessibility
    TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTFTTTTTTTTTTTTTTTT
    TTTTTTTTTT*
    >P1;1egwa
    solvent accessibility
    --TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTFTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT--
    ----------*
    ...
  3. When you have two or more alignment files, you should make a separate file containing all the paths for the alignment files.

    ~user $ ls -1 *.tem > TEMLIST
    ~user $ cat TEMLIST
    sample1.tem
    sample2.tem
    ...
  4. To produce substitution count matrices,

    ~user $ ulla -l TEMLIST --output 0 -o substcount.mat
  5. To produce substitution probability matrices,

    ~user $ ulla -l TEMLIST --output 1 -o substprob.mat
  6. To produce log odds ratio matrices,

    ~user $ ulla -l TEMLIST --output 2 -o substlogo.mat
  7. To produce substitution probability matrices from the sequence pairs within a certain PID range (if you don’t provide any name for output, ‘allmat.dat’ will be used.),

    ~user $ ulla -l TEMLIST --pidmin 60 --pidmax 80 --output 1
  8. To change the clustering level (default 60) to PID 80,

    ~user $ ulla -l TEMLIST --weight 80 --output 1
  9. In case positions are masked with the character ‘X’ in any environmental features, all mutations from/to the position will be excluded from substitution counts.

  10. Then, it will produce a file containing all the matrices, which will look like the one below. For more details, please check this notes (mordred.bioc.cam.ac.uk/~kenji/subst/NOTES).

    # Environment-specific amino acid substitution matrices
    # Creator: ulla version 0.0.5
    # Creation Date: 05/02/2009 17:29
    #
    # Definitions for structural environments:
    # 2 features used
    #
    # secondary structure and phi angle;HEPC;HEPC;F;F
    # solvent accessibility;TF;Aa;F;F
    # (read in from classdef.dat)
    #
    # Number of alignments: 1187
    # (list of .tem files read in from TEMLIST)
    #
    # Total number of environments: 8
    #
    # There are 21 amino acids considered.
    # ACDEFGHIKLMNPQRSTVWYJ
    # 
    # C: Cystine (the disulfide-bonded form)
    # J: Cysteine (the free thiol form)
    #
    # Weighting scheme: clustering at PID 60 level
    # ...
    #
    >HA 0
    #        A      C      D      E      F      G      H      I      K      L      M      N      P      Q      R      S      T      V      W      Y      J
    A        3     -5      0      0     -1      2      0      0      1      0      0      0      1      1      0      1      1      1     -1      0      2
    C      -16     19    -16    -18    -11    -14    -13    -13    -14    -14    -14    -11    -17    -16    -13    -16    -14    -12    -12    -10     -4
    D        1     -7      6      3     -3      1      0     -3      1     -3     -2      2      1      2      0      1      0     -2     -3     -2     -2
    E        3     -7      5      7     -1      2      2      0      3      0      0      3      2      4      3      3      2      1     -1      0     -1
    F       -4     -4     -6     -6      7     -5     -1      0     -4      1      0     -5     -5     -4     -4     -4     -3     -1      3      3      0
    G       -2     -6     -3     -4     -5      5     -4     -5     -4     -5     -4     -2     -3     -4     -4     -2     -3     -5     -6     -4     -3
    H        0     -6      0      0      1      0      8     -1      0      0      0      1     -2      1      1      0      0      0      1      3      0
    I       -3     -7     -6     -5      0     -5     -3      4     -4      1      1     -5     -4     -4     -3     -5     -2      2     -2     -1      0
    K        2     -6      2      2     -1      1      2      0      5      1      1      2      0      3      4      2      2      0     -2      0     -1
    L       -2     -6     -5     -4      1     -4     -2      2     -3      4      2     -3     -4     -3     -2     -4     -2      1      0      0      1
    M       -2     -7     -4     -3      1     -2     -1      2     -2      2      6     -3     -4     -2     -1     -2     -1      1      0      0      1
    N        0     -5      1      0     -3      1      1     -3      0     -2     -2      6     -2      0      0      1      1     -2     -3     -1     -1
    P       -1     -7     -1     -2     -4     -1     -3     -3     -2     -3     -4     -2      9     -2     -3      0     -1     -2     -4     -4     -4
    Q        2     -7      2      2     -1      1      2     -1      2      0      0      2      0      5      2      1      1      0     -2     -1      0
    R        1     -6      1      1     -1      0      2      0      3      0      1      1     -1      2      6      1      1      0     -1      0      0
    S        0     -6     -1     -1     -3      0     -2     -3     -1     -3     -3      0      0     -1     -1      3      1     -2     -4     -3      0
    T       -1     -7     -2     -2     -3     -2     -2     -2     -2     -2     -2     -1     -2     -2     -2      0      3     -1     -3     -3      0
    V       -3     -6     -6     -5     -1     -4     -3      1     -4      0      0     -5     -3     -4     -4     -4     -2      2     -2     -2      0
    W       -4     -6     -6     -5      2     -6     -2     -2     -5     -1     -2     -5     -5     -4     -4     -5     -4     -2     12      2     -3
    Y       -3     -5     -5     -5      3     -4      1     -1     -3     -1     -1     -3     -5     -3     -3     -4     -3     -2      3      7     -1
    J       -2      0     -4     -5      0     -2     -1      0     -3      0      0     -3     -6     -2     -2     -1     -1      0     -1      0      9
    U       -5     16     -7     -8     -3     -5     -4     -3     -6     -3     -3     -5     -9     -6     -5     -4     -4     -3     -4     -3      6
    ...
  11. To generate a heat map for each table with values in it,

    ~user $ ulla -l TEMLIST --heatmap 0 --heatmap-values

    which will look like this,

  12. To generate one big figure, ‘myheatmaps.gif’ containing all the heat maps (4 maps in a row),

    ~user $ ulla -l TEMLIST --heatmap 1 --heatmap-stem myheatmaps --heatmap-format 1 --heatmap-columns 4

    which will look like this,

You can download a pre-built RubyGems package from

or, You can fetch the source from

Comments are welcome, please send an email to me (seminlee at gmail dot com).

This work is licensed under a Creative Commons Attribution-Noncommercial 2.0 UK: England & Wales License.

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