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package Bio::CUA::CUB::Calculator; |
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=pod |
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=head1 NAME |
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Bio::CUA::CUB::Calculator -- A module to calculate codon usage bias |
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(CUB) indice for protein-coding sequences |
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=head1 SYNOPSIS |
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use Bio::CUA::CUB::Calculator; |
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my $calc = Bio::CUA::CUB::Calculator->new( |
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-codon_table => 1, |
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-tAI_values => 'tai.out' # from Bio::CUA::CUB::Builder |
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); |
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# calculate tAI for each sequence |
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my $io = Bio::CUA::SeqIO->new(-file => "seqs.fa"); |
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or |
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my $io = Bio::CUA::SeqIO->new(-file => "seqs.fa", -format => 'fasta'); |
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while(my $seq = $io->next_seq) |
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{ |
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my $tai = $calc->tai($seq); |
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printf("%10s: %.7f\n", $seq->id, $tai); |
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} |
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=head1 DESCRIPTION |
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Codon usage bias (CUB) can be represented at two levels, codon and |
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sequence. The latter is often computed as the geometric means of the |
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sequence's codons. This module caculates CUB metrics at sequence |
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level. |
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Supported CUB metrics include CAI (codon adaptation index), tAI (tRNA |
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adaptation index), Fop (Frequency of optimal codons), ENC (Effective |
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Number of Codons) and their variants. See the methods below for |
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details. |
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=cut |
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use 5.006; |
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use strict; |
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use warnings; |
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use parent qw/Bio::CUA::CUB/; |
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use Bio::CUA::CodonTable; |
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=head1 METHODS |
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=head2 new |
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Title : new |
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Usage : my $calc=Bio::CUA::CUB::Calculator->new(@args); |
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Function: initialize the calculator |
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Returns : an object of this class |
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Args : a hash with following acceptable keys: |
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B: |
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=over |
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=item C<-codon_table> |
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the genetic code table applied for following sequence analyses. It |
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can be specified by an integer (genetic code table id), an object of |
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L, or a map-file. See the method |
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L for details. |
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=back |
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B |
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=over |
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=item C<-optimal_codons> |
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a file contains all the optimal codons, one codon per line. Or a |
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hashref with keys being the optimal codons |
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=back |
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B |
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=over |
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=item C<-CAI_values> |
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a file containing CAI values for each codon, excluding 3 |
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stop codons, so 61 lines with each line containing a codon and its |
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value separated by space or tab. |
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or |
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a hashref with each key being a codon and each value being CAI index |
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for the codon. |
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=back |
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B |
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=over |
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=item C<-tAI_values> |
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similar to C<-CAI_values>, a file or a hash containing tAI value |
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for each codon. |
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=back |
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B |
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=over |
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=item C<-base_background> |
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optional. |
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an arrayref containing base frequency of 4 bases (in the order |
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A,T,C, and G) derived from background data such as introns. |
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Or one of the following values: 'seq', 'seq3', which will lead to |
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estimating base frequencies from each analyzed sequence in whol or |
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its 3rd codon position, respectively. |
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It can also be specified for each analyzed sequence with the methods |
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L and L |
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=back |
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=cut |
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sub new |
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{ |
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2873
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my ($caller, @args) = @_; |
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# option -codon_table is processed in this parent class |
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my $self = $caller->SUPER::new(@args); |
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# process all the parameters |
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1
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my $hashRef = $self->_array_to_hash(\@args); |
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while(my ($tag, $val) = each %$hashRef) |
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{ |
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# tag 'codon_table' is now processed by parent package |
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if($tag =~ /^optimal/o) # optimal codons |
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100
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143
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{ |
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# a hash using codons as keys |
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my $optimalCodons = ref($val) eq 'HASH'? |
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{map { $_ => 1 } keys(%$val)} : $self->_parse_file($val,1); |
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$self->{'_optimal_codons'} = $optimalCodons; |
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}elsif($tag =~ /^cai/o) # CAI values |
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{ |
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# a hash like codon => CAI_value |
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1
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my $caiValues = ref($val) eq 'HASH'? |
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$val : $self->_parse_file($val,2); |
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$self->{'_cai_values'} = $caiValues; |
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}elsif($tag =~ /^tai/o) # tAI values |
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{ |
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# a hash like codon => tAI_value |
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1
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my $taiValues = ref($val) eq 'HASH'? |
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$val : $self->_parse_file($val,2); |
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1
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$self->{'_tai_values'} = $taiValues; |
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}elsif($tag =~ /^base/o) # background base composition |
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{ |
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if(ref($val) eq 'ARRAY' or $val =~ /^seq/) |
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{ |
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$self->{'_base_comp'} = $val; |
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}else |
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{ |
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$self->throw("Unknown value '$val' for parameter", |
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"-base_composition"); |
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} |
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}else |
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{ |
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# Unknown parameter '$tag', ignored |
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} |
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} |
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$self->no_atg(1); # exclude ATG in tAI calculation |
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# check the input values |
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# 1. make sure all the sense codons have CAI or tAI values if |
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# provided |
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1
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return $self; |
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} |
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184
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=head1 sequence input |
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186
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all the following methods accept one of the following formats as |
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sequence input |
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189
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=over |
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191
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=item 1 |
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string of nucleotide sequence with length of 3N, |
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195
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=item 2 |
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197
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sequence object which has a method I to get the sequence string, |
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199
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=item 3 |
200
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201
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a sequence file in fasta format |
202
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203
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=item 4 |
204
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205
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reference to a codon count hash, like |
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$codons = { |
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AGC => 50, |
208
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GTC => 124, |
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... ... |
210
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}. |
211
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212
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=back |
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214
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=head2 cai |
215
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216
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Title : cai |
217
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Usage : $caiValue = $self->cai($seq); |
218
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Function: calculate the CAI value for the sequence |
219
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Returns : a number, or undef if failed |
220
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Args : see L"sequence input"> |
221
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Note: codons without synonymous competitors are excluded in |
222
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calculation. |
223
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224
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=cut |
225
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226
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sub cai |
227
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{ |
228
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13
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13
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1
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98
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my ($self, $seq) = @_; |
229
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13
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56
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$self->_xai($seq, 'CAI'); |
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} |
231
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232
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# the real calculator of tAI or CAI as both have the same formula |
233
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sub _xai |
234
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{ |
235
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26
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26
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|
60
|
my ($self, $seq, $type) = @_; |
236
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237
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26
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52
|
my $name; |
238
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|
my $xaiHash; |
239
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26
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100
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198
|
if($type =~ /cai/i) |
|
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50
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240
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{ |
241
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13
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29
|
$name = 'CAI'; |
242
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13
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35
|
$xaiHash = $self->{"_cai_values"}; |
243
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}elsif($type =~ /tai/i) |
244
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{ |
245
|
13
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24
|
$name = 'tAI'; |
246
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13
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39
|
$xaiHash = $self->{"_tai_values"}; |
247
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}else |
248
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{ |
249
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0
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0
|
$self->throw("Unknown adaptation index type '$type'"); |
250
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} |
251
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26
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50
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79
|
unless($xaiHash) |
252
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{ |
253
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0
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0
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$self->warn("$name values for codons were not provided for", |
254
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|
|
"this analyzer, so can not calculate $name for sequences"); |
255
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0
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0
|
return undef; |
256
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} |
257
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258
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26
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50
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132
|
my $codonList = $self->get_codon_list($seq) or return; |
259
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260
|
26
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61
|
my $xai = 0; |
261
|
26
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47
|
my $seqLen = 0; # this excludes some unsuitable codons |
262
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|
# get non-degenerative codons which are excluded in CAI |
263
|
26
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193
|
my %nonDegCodons = map { $_ => 1 } $self->codons_by_degeneracy(1); |
|
52
|
|
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|
|
184
|
|
264
|
26
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|
112
|
my @senseCodons = $self->codon_table->all_sense_codons; |
265
|
26
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|
144
|
foreach my $codon (@senseCodons) |
266
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{ |
267
|
1586
|
100
|
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3138
|
next unless($codonList->{$codon}); # no observation of this codon |
268
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|
|
# excluding non-degenerate codons for CAI calculation |
269
|
1560
|
100
|
100
|
|
|
3521
|
next if($nonDegCodons{$codon} and $type =~ /cai/i); |
270
|
1534
|
100
|
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|
|
2853
|
unless(exists $xaiHash->{$codon}) |
271
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|
|
|
{ |
272
|
13
|
0
|
33
|
|
|
91
|
$self->warn("Codon '$codon' is ignored") |
|
|
0
|
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|
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|
|
273
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|
|
if($self->debug and ($self->no_atg? ($codon ne 'ATG') : 1)); |
274
|
13
|
|
|
|
|
39
|
next; |
275
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|
|
} |
276
|
1521
|
|
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|
|
1711
|
my $cnt = $codonList->{$codon}; |
277
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|
|
|
# to overcome real number overflow, use log |
278
|
1521
|
|
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|
|
4536
|
$xai += $cnt*log($xaiHash->{$codon}); |
279
|
1521
|
|
|
|
|
2615
|
$seqLen += $cnt; |
280
|
|
|
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|
|
|
} |
281
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|
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|
|
282
|
26
|
50
|
|
|
|
104
|
return undef unless($xai); # no codons with CAI/tAI |
283
|
|
|
|
|
|
|
|
284
|
26
|
|
|
|
|
114
|
$xai = exp($xai/$seqLen); |
285
|
26
|
|
|
|
|
578
|
return $xai; |
286
|
|
|
|
|
|
|
} |
287
|
|
|
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|
|
|
|
288
|
|
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|
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|
|
=head2 fop |
289
|
|
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|
|
|
|
|
290
|
|
|
|
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|
|
Title : fop |
291
|
|
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|
|
|
|
Usage : $fopValue = $self->fop($seq[,$withNonDegenerate]); |
292
|
|
|
|
|
|
|
Function: calculate the fraction of optimal codons in the sequence |
293
|
|
|
|
|
|
|
Returns : a number, or undef if failed |
294
|
|
|
|
|
|
|
Args : for sequence see L"sequence input">. |
295
|
|
|
|
|
|
|
if optional argument '$withNonDegenerate' is true, then |
296
|
|
|
|
|
|
|
non-degenerate codons (those do not have synonymous partners) are |
297
|
|
|
|
|
|
|
included in calculation. Default is excluding these codons. |
298
|
|
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|
|
|
|
|
299
|
|
|
|
|
|
|
=cut |
300
|
|
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|
|
|
|
|
301
|
|
|
|
|
|
|
sub fop |
302
|
|
|
|
|
|
|
{ |
303
|
0
|
|
|
0
|
1
|
0
|
my ($self, $seq, $withNonDeg) = @_; |
304
|
|
|
|
|
|
|
|
305
|
0
|
0
|
|
|
|
0
|
my $optimalCodons = $self->{'_optimal_codons'} or |
306
|
|
|
|
|
|
|
$self->throw("No optimal codons associated with $self"); |
307
|
|
|
|
|
|
|
|
308
|
0
|
0
|
|
|
|
0
|
my $codonList = $self->get_codon_list($seq) or return; |
309
|
|
|
|
|
|
|
# get non-degenerate codons |
310
|
0
|
|
|
|
|
0
|
my %nonDegCodons = map { $_ => 1 } $self->codons_by_degeneracy(1); |
|
0
|
|
|
|
|
0
|
|
311
|
|
|
|
|
|
|
|
312
|
|
|
|
|
|
|
|
313
|
0
|
|
|
|
|
0
|
my $optCnt = 0; # optimal codons |
314
|
0
|
|
|
|
|
0
|
my $total = 0; |
315
|
0
|
|
|
|
|
0
|
while(my ($codon, $cnt) = each %$codonList) |
316
|
|
|
|
|
|
|
{ |
317
|
|
|
|
|
|
|
# excluding non-degenerate codons if necessary |
318
|
0
|
0
|
0
|
|
|
0
|
next if(!$withNonDeg and $nonDegCodons{$codon}); |
319
|
0
|
0
|
|
|
|
0
|
$optCnt += $cnt if($optimalCodons->{$codon}); |
320
|
0
|
|
|
|
|
0
|
$total += $cnt; |
321
|
|
|
|
|
|
|
} |
322
|
|
|
|
|
|
|
|
323
|
0
|
|
0
|
|
|
0
|
return $optCnt/($total || 1); |
324
|
|
|
|
|
|
|
} |
325
|
|
|
|
|
|
|
|
326
|
|
|
|
|
|
|
=head2 tai |
327
|
|
|
|
|
|
|
|
328
|
|
|
|
|
|
|
Title : tai |
329
|
|
|
|
|
|
|
Usage : $taiValue = $self->tai($seq); |
330
|
|
|
|
|
|
|
Function: calculate the tAI value for the sequence |
331
|
|
|
|
|
|
|
Returns : a number, or undef if failed |
332
|
|
|
|
|
|
|
Args : for sequence see L"sequence input">. |
333
|
|
|
|
|
|
|
|
334
|
|
|
|
|
|
|
Note: codons which do not have tAI values are ignored from input |
335
|
|
|
|
|
|
|
sequence |
336
|
|
|
|
|
|
|
|
337
|
|
|
|
|
|
|
=cut |
338
|
|
|
|
|
|
|
|
339
|
|
|
|
|
|
|
sub tai |
340
|
|
|
|
|
|
|
{ |
341
|
13
|
|
|
13
|
1
|
91
|
my ($self, $seq) = @_; |
342
|
13
|
|
|
|
|
55
|
$self->_xai($seq, 'tAI'); |
343
|
|
|
|
|
|
|
} |
344
|
|
|
|
|
|
|
|
345
|
|
|
|
|
|
|
# an alias |
346
|
|
|
|
|
|
|
sub tAI |
347
|
|
|
|
|
|
|
{ |
348
|
0
|
|
|
0
|
0
|
0
|
my ($self, $seq) = @_; |
349
|
0
|
|
|
|
|
0
|
$self->_xai($seq, 'tAI'); |
350
|
|
|
|
|
|
|
} |
351
|
|
|
|
|
|
|
|
352
|
|
|
|
|
|
|
=head2 enc |
353
|
|
|
|
|
|
|
|
354
|
|
|
|
|
|
|
Title : enc |
355
|
|
|
|
|
|
|
Usage : $encValue = $self->enc($seq,[$minTotal]); |
356
|
|
|
|
|
|
|
Function: calculate ENC for the sequence using the original method |
357
|
|
|
|
|
|
|
I |
358
|
|
|
|
|
|
|
Returns : a number, or undef if failed |
359
|
|
|
|
|
|
|
Args : for sequence see L"sequence input">. |
360
|
|
|
|
|
|
|
Optional argument I specifies minimal count |
361
|
|
|
|
|
|
|
for an amino acid; if observed count is smaller than this count, this |
362
|
|
|
|
|
|
|
amino acid's F will not be calculated but inferred. Deafult is 5. |
363
|
|
|
|
|
|
|
|
364
|
|
|
|
|
|
|
Note: when the F of a redundancy group is unavailable due to lack of |
365
|
|
|
|
|
|
|
sufficient data, it will be estimated from other groups following Wright's |
366
|
|
|
|
|
|
|
method, that is, F3=(F2+F4)/2, and for others, F=1/r where r is the |
367
|
|
|
|
|
|
|
degeneracy degree of that group. |
368
|
|
|
|
|
|
|
|
369
|
|
|
|
|
|
|
=cut |
370
|
|
|
|
|
|
|
sub enc |
371
|
|
|
|
|
|
|
{ |
372
|
13
|
|
|
13
|
1
|
84
|
my ($self, $seq, $minTotal) = @_; |
373
|
13
|
|
|
|
|
57
|
$self->_enc_factory($seq, $minTotal, 'mean'); |
374
|
|
|
|
|
|
|
} |
375
|
|
|
|
|
|
|
|
376
|
|
|
|
|
|
|
=head2 enc_r |
377
|
|
|
|
|
|
|
|
378
|
|
|
|
|
|
|
Title : enc_r |
379
|
|
|
|
|
|
|
Usage : $encValue = $self->enc_r($seq,[$minTotal]); |
380
|
|
|
|
|
|
|
Function: similar to the method L, except that missing F values |
381
|
|
|
|
|
|
|
are estimated in a different way. |
382
|
|
|
|
|
|
|
Returns : a number, or undef if failed |
383
|
|
|
|
|
|
|
Args : for sequence see L"sequence input">. |
384
|
|
|
|
|
|
|
Optional argument I specifies minimal count |
385
|
|
|
|
|
|
|
for an amino acid; if observed count is smaller than this count, this |
386
|
|
|
|
|
|
|
amino acid's F will not be calculated but inferred. Deafult is 5. |
387
|
|
|
|
|
|
|
|
388
|
|
|
|
|
|
|
Note: for missing Fx of degeneracy class 'x', we first estimated the |
389
|
|
|
|
|
|
|
ratio (1/Fx-1)/(x-1) by averaging the ratios of other degeneracy |
390
|
|
|
|
|
|
|
classes with known F values. Then Fx is obtained by solving the simple |
391
|
|
|
|
|
|
|
equation. |
392
|
|
|
|
|
|
|
|
393
|
|
|
|
|
|
|
=cut |
394
|
|
|
|
|
|
|
|
395
|
|
|
|
|
|
|
sub enc_r |
396
|
|
|
|
|
|
|
{ |
397
|
13
|
|
|
13
|
1
|
77
|
my ($self, $seq, $minTotal) = @_; |
398
|
13
|
|
|
|
|
46
|
$self->_enc_factory($seq, $minTotal, 'equal_ratio'); |
399
|
|
|
|
|
|
|
} |
400
|
|
|
|
|
|
|
|
401
|
|
|
|
|
|
|
=head2 encp |
402
|
|
|
|
|
|
|
|
403
|
|
|
|
|
|
|
Title : encp |
404
|
|
|
|
|
|
|
Usage : $encpValue = $self->encp($seq,[$minTotal,[$A,$T,$C,$G]]); |
405
|
|
|
|
|
|
|
Function: calculate ENC for the sequence using the updated method |
406
|
|
|
|
|
|
|
by Novembre I<2002, MBE>, which corrects the background nucleotide |
407
|
|
|
|
|
|
|
composition. |
408
|
|
|
|
|
|
|
Returns : a number, or undef if failed |
409
|
|
|
|
|
|
|
Args : for sequence see L"sequence input">. |
410
|
|
|
|
|
|
|
|
411
|
|
|
|
|
|
|
Optional argument I specifies minimal count |
412
|
|
|
|
|
|
|
for an amino acid; if observed count is smaller than this count, this |
413
|
|
|
|
|
|
|
amino acid's F will not be calculated but inferred. Deafult is 5. |
414
|
|
|
|
|
|
|
|
415
|
|
|
|
|
|
|
another optional argument gives the background nucleotide composition |
416
|
|
|
|
|
|
|
in the order of A,T,C,G in an array, if not provided, it will use the |
417
|
|
|
|
|
|
|
default one provided when calling the method L. If stil |
418
|
|
|
|
|
|
|
unavailable, error occurs. |
419
|
|
|
|
|
|
|
|
420
|
|
|
|
|
|
|
=cut |
421
|
|
|
|
|
|
|
|
422
|
|
|
|
|
|
|
sub encp |
423
|
|
|
|
|
|
|
{ |
424
|
0
|
|
|
0
|
1
|
0
|
my ($self, $seq, $minTotal, $baseComp) = @_; |
425
|
0
|
|
|
|
|
0
|
$self->_enc_factory($seq, $minTotal, 'mean', 1, $baseComp); |
426
|
|
|
|
|
|
|
} |
427
|
|
|
|
|
|
|
|
428
|
|
|
|
|
|
|
=head2 encp_r |
429
|
|
|
|
|
|
|
|
430
|
|
|
|
|
|
|
Title : encp_r |
431
|
|
|
|
|
|
|
Usage : $encpValue = |
432
|
|
|
|
|
|
|
$self->encp_r($seq,[$minTotal,[$A,$T,$C,$G]]); |
433
|
|
|
|
|
|
|
Function: similar to the method L, except that missing F values |
434
|
|
|
|
|
|
|
are estimated using a different way. |
435
|
|
|
|
|
|
|
Returns : a number, or undef if failed |
436
|
|
|
|
|
|
|
Args : for sequence see L"sequence input">. |
437
|
|
|
|
|
|
|
|
438
|
|
|
|
|
|
|
Optional argument I specifies minimal count |
439
|
|
|
|
|
|
|
for an amino acid; if observed count is smaller than this count, this |
440
|
|
|
|
|
|
|
amino acid's F will not be calculated but inferred. Deafult is 5. |
441
|
|
|
|
|
|
|
|
442
|
|
|
|
|
|
|
another optional argument gives the background nucleotide composition |
443
|
|
|
|
|
|
|
in the order of A,T,C,G in an array, if not provided, it will use the |
444
|
|
|
|
|
|
|
default one provided when calling the method L. If stil |
445
|
|
|
|
|
|
|
unavailable, error occurs. |
446
|
|
|
|
|
|
|
|
447
|
|
|
|
|
|
|
Note: for missing Fx of degeneracy class 'x', we first estimated the |
448
|
|
|
|
|
|
|
ratio (1/Fx-1)/(x-1) by averaging the ratios of other degeneracy |
449
|
|
|
|
|
|
|
classes with known F values. Then Fx is obtained by solving the simple |
450
|
|
|
|
|
|
|
equation. |
451
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|
452
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=cut |
453
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|
454
|
|
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|
|
|
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sub encp_r |
455
|
|
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|
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{ |
456
|
0
|
|
|
0
|
1
|
0
|
my ($self, $seq, $minTotal, $baseComp) = @_; |
457
|
0
|
|
|
|
|
0
|
$self->_enc_factory($seq, $minTotal, 'equal_ratio', 1, $baseComp); |
458
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|
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|
|
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} |
459
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|
460
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|
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|
# real function calculate different versions of ENC |
461
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# parameters explanation |
462
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|
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# seq: sequence string, sequence object, sequence file, or hash |
463
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# reference to codon list |
464
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# correctBaseComp: if true, correct background base composition using |
465
|
|
|
|
|
|
|
# Novembre's method |
466
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# F_EstimateMethod: how to estimate average F for a certain redundancy |
467
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# class if that class does not have observed data so can't be |
468
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|
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|
|
# calculated; 'mean' is for Wright's method, and 'equal_ratio' for |
469
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|
|
# Zhenbguo's method. The latter assumes a similar (1/F[r])/r for each |
470
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# redundancy class with redundancy degree 'r' |
471
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# baseComposition: optional, a reference to an array containing |
472
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|
|
|
|
# background nucleotide composition. If provided, it overides the |
473
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# values set when method L was called. |
474
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|
|
|
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sub _enc_factory |
475
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{ |
476
|
26
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|
26
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|
61
|
my ($self, $seq, $minTotal, $F_EstimateMethod, $correctBaseComp, $baseComposition) = @_; |
477
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|
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|
478
|
26
|
50
|
|
|
|
83
|
$minTotal = 5 unless(defined $minTotal); # the minumum count of residule for a given amino |
479
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|
|
# acid for it to be included in F calculation |
480
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|
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|
481
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|
|
|
|
# a hash ref, codon => counts |
482
|
26
|
50
|
|
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|
122
|
my $codonList = $self->get_codon_list($seq) or return; |
483
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|
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|
|
484
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|
|
485
|
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|
# determine expected codon frequency if necessary |
486
|
26
|
|
|
|
|
58
|
my $expectedCodonFreq; |
487
|
|
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|
|
|
# determine base compositions now |
488
|
26
|
50
|
|
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|
82
|
if($correctBaseComp) |
489
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|
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|
|
|
|
{ |
490
|
0
|
0
|
|
|
|
0
|
if(!defined($baseComposition)) # not provided for this sequence |
491
|
|
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|
|
|
|
{ |
492
|
0
|
0
|
|
|
|
0
|
my $defaultBaseComp = $self->base_composition or |
493
|
|
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|
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|
|
$self->throw("No base composition information, so can not" |
494
|
|
|
|
|
|
|
,"compute background corrected version of ENC"); |
495
|
0
|
0
|
|
|
|
0
|
if($defaultBaseComp eq 'seq') |
|
|
0
|
|
|
|
|
|
496
|
|
|
|
|
|
|
{ |
497
|
0
|
|
|
|
|
0
|
$baseComposition = |
498
|
|
|
|
|
|
|
$self->estimate_base_composition($codonList); |
499
|
|
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|
|
|
|
}elsif($defaultBaseComp eq 'seq3') |
500
|
|
|
|
|
|
|
{ |
501
|
0
|
|
|
|
|
0
|
$baseComposition = |
502
|
|
|
|
|
|
|
$self->estimate_base_composition($codonList,3); |
503
|
|
|
|
|
|
|
}else |
504
|
|
|
|
|
|
|
{ |
505
|
0
|
|
|
|
|
0
|
$baseComposition = $defaultBaseComp; |
506
|
|
|
|
|
|
|
} |
507
|
|
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|
|
|
|
} # otherwise sequence-specific base-composition is provided |
508
|
|
|
|
|
|
|
# here |
509
|
|
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|
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|
|
|
510
|
|
|
|
|
|
|
# codon frequency may not be estimated due to invalid |
511
|
|
|
|
|
|
|
# compositions |
512
|
|
|
|
|
|
|
$expectedCodonFreq = |
513
|
0
|
|
|
|
|
0
|
$self->expect_codon_freq($baseComposition); |
514
|
0
|
0
|
|
|
|
0
|
return undef unless($expectedCodonFreq); |
515
|
|
|
|
|
|
|
} |
516
|
|
|
|
|
|
|
|
517
|
|
|
|
|
|
|
|
518
|
|
|
|
|
|
|
# now let us calculate F for each redundancy class |
519
|
|
|
|
|
|
|
# determined by codon table, containing all amino acid classes |
520
|
26
|
|
|
|
|
180
|
my $AARedundancyClasses = $self->aa_degeneracy_classes; # |
521
|
26
|
|
|
|
|
52
|
my %FavgByClass; # record the average F from each class |
522
|
26
|
|
|
|
|
217
|
while(my ($redundancy, $AAHash) = each %$AARedundancyClasses) |
523
|
|
|
|
|
|
|
{ |
524
|
|
|
|
|
|
|
# number of observed AA types in this class |
525
|
130
|
|
|
|
|
157
|
my $numAAInClass = 0; # number of amino acid species in this class |
526
|
130
|
|
|
|
|
131
|
my $Fsum = 0; |
527
|
130
|
|
|
|
|
430
|
while(my ($AA, $codonArray) = each %$AAHash) |
528
|
|
|
|
|
|
|
{ |
529
|
494
|
100
|
|
|
|
1070
|
if($redundancy == 1) # this class has only one codon |
530
|
|
|
|
|
|
|
{ |
531
|
26
|
|
|
|
|
49
|
$numAAInClass = scalar(keys %$AAHash); |
532
|
26
|
|
|
|
|
38
|
$Fsum = $numAAInClass; # each AA contribute 1 |
533
|
26
|
|
|
|
|
59
|
last; |
534
|
|
|
|
|
|
|
} |
535
|
|
|
|
|
|
|
# total count of observed residules for this AA |
536
|
468
|
|
|
|
|
498
|
my $AAcnt = 0; |
537
|
468
|
|
|
|
|
792
|
foreach (@$codonArray) |
538
|
|
|
|
|
|
|
{ |
539
|
|
|
|
|
|
|
# check the codon exists in this seq |
540
|
1534
|
100
|
|
|
|
2948
|
next unless(exists $codonList->{$_}); |
541
|
1508
|
|
|
|
|
2597
|
$AAcnt += $codonList->{$_}; |
542
|
|
|
|
|
|
|
} |
543
|
|
|
|
|
|
|
|
544
|
|
|
|
|
|
|
# skip if occurence of this amino acid is less than the |
545
|
|
|
|
|
|
|
# minimal threshold |
546
|
468
|
100
|
66
|
|
|
2131
|
next if($AAcnt < $minTotal or $AAcnt < 2); |
547
|
|
|
|
|
|
|
|
548
|
|
|
|
|
|
|
# now calculate F for this AA species |
549
|
464
|
50
|
|
|
|
769
|
if($correctBaseComp) # correct base composition |
550
|
|
|
|
|
|
|
{ |
551
|
0
|
|
|
|
|
0
|
my $chisq = 0; |
552
|
|
|
|
|
|
|
# get the freq of codons of this amino acids |
553
|
0
|
|
|
|
|
0
|
my $totalFreq = 0; |
554
|
0
|
|
|
|
|
0
|
foreach (@$codonArray) |
555
|
|
|
|
|
|
|
{ |
556
|
0
|
|
|
|
|
0
|
$totalFreq += $expectedCodonFreq->{$_}; |
557
|
|
|
|
|
|
|
} |
558
|
0
|
|
|
|
|
0
|
foreach (@$codonArray) |
559
|
|
|
|
|
|
|
{ |
560
|
|
|
|
|
|
|
# set unobserved codons to 0 |
561
|
0
|
|
0
|
|
|
0
|
my $codonCnt = $codonList->{$_} || 0; |
562
|
0
|
|
|
|
|
0
|
my $expectedFreq = |
563
|
|
|
|
|
|
|
$expectedCodonFreq->{$_}/$totalFreq; |
564
|
0
|
|
|
|
|
0
|
$chisq += ($codonCnt/$AAcnt - |
565
|
|
|
|
|
|
|
$expectedFreq)**2/$expectedFreq; |
566
|
|
|
|
|
|
|
} |
567
|
0
|
|
|
|
|
0
|
$chisq *= $AAcnt; # don't forget multiply this |
568
|
0
|
|
|
|
|
0
|
$Fsum += ($chisq + $AAcnt - |
569
|
|
|
|
|
|
|
$redundancy)/($redundancy*($AAcnt-1)); |
570
|
|
|
|
|
|
|
}else # no correction, use old Wright method |
571
|
|
|
|
|
|
|
{ |
572
|
464
|
|
|
|
|
454
|
my $pSquareSum = 0; |
573
|
464
|
|
|
|
|
722
|
foreach (@$codonArray) |
574
|
|
|
|
|
|
|
{ |
575
|
1526
|
|
|
|
|
1858
|
my $codonCnt = $codonList->{$_}; |
576
|
1526
|
100
|
|
|
|
2678
|
next unless($codonCnt); |
577
|
1504
|
|
|
|
|
3262
|
$pSquareSum += ($codonCnt/$AAcnt)**2; |
578
|
|
|
|
|
|
|
} |
579
|
464
|
|
|
|
|
1052
|
$Fsum += ($AAcnt*$pSquareSum -1)/($AAcnt-1); |
580
|
|
|
|
|
|
|
} |
581
|
|
|
|
|
|
|
# increase the number of AA species in this class |
582
|
464
|
|
|
|
|
1742
|
$numAAInClass++; |
583
|
|
|
|
|
|
|
} |
584
|
|
|
|
|
|
|
# check whether all AA species are ignored or not observed |
585
|
130
|
50
|
|
|
|
309
|
if($numAAInClass > 0) |
586
|
|
|
|
|
|
|
{ |
587
|
|
|
|
|
|
|
# note, in some special cases, Fsum == 0 even though |
588
|
|
|
|
|
|
|
# $numAAInClass >0, for example for a 6-fold amino acid, |
589
|
|
|
|
|
|
|
# if each of its codon is observed only once, it would |
590
|
|
|
|
|
|
|
# result in Faa = 0. so we need add restriction on this |
591
|
130
|
50
|
|
|
|
778
|
$FavgByClass{$redundancy} = $Fsum/$numAAInClass if($Fsum > |
592
|
|
|
|
|
|
|
0); |
593
|
|
|
|
|
|
|
} # otherwise no data |
594
|
|
|
|
|
|
|
} |
595
|
|
|
|
|
|
|
|
596
|
|
|
|
|
|
|
# estimate missing redundancy classes due to no observation of |
597
|
|
|
|
|
|
|
# that class's AAs, and get the final Nc values |
598
|
26
|
|
|
|
|
41
|
my $enc = 0; |
599
|
26
|
|
|
|
|
109
|
while(my ($redundancy, $AAHash) = each %$AARedundancyClasses) |
600
|
|
|
|
|
|
|
{ |
601
|
|
|
|
|
|
|
# the number of AA species in this class, determined by the |
602
|
|
|
|
|
|
|
# codon table, not the input seq |
603
|
130
|
|
|
|
|
172
|
my $AAcntInClass = scalar(keys %$AAHash); |
604
|
130
|
50
|
|
|
|
303
|
if(exists $FavgByClass{$redundancy}) |
605
|
|
|
|
|
|
|
{ |
606
|
130
|
50
|
|
|
|
277
|
die "$redundancy, $AAcntInClass:$!" |
607
|
|
|
|
|
|
|
unless($FavgByClass{$redundancy}); |
608
|
130
|
|
|
|
|
215
|
$enc += $AAcntInClass/$FavgByClass{$redundancy}; |
609
|
130
|
|
|
|
|
391
|
next; |
610
|
|
|
|
|
|
|
} |
611
|
|
|
|
|
|
|
|
612
|
|
|
|
|
|
|
# otherwise this class was not observed |
613
|
0
|
0
|
|
|
|
0
|
my $equalRatio = $F_EstimateMethod eq 'mean'? 0 : 1; |
614
|
0
|
|
|
|
|
0
|
my $estimatedFavg = _estimate_F(\%FavgByClass, $redundancy, |
615
|
|
|
|
|
|
|
$equalRatio); |
616
|
0
|
0
|
|
|
|
0
|
unless($estimatedFavg) |
617
|
|
|
|
|
|
|
{ |
618
|
0
|
|
|
|
|
0
|
$self->warn("Can not estimate average F for class with", |
619
|
|
|
|
|
|
|
"redundancy=$redundancy, probably no known values for this class"); |
620
|
0
|
|
|
|
|
0
|
return undef; |
621
|
|
|
|
|
|
|
} |
622
|
0
|
|
|
|
|
0
|
$enc += $AAcntInClass/$estimatedFavg; |
623
|
|
|
|
|
|
|
} |
624
|
|
|
|
|
|
|
|
625
|
26
|
|
|
|
|
419
|
return $enc; |
626
|
|
|
|
|
|
|
} |
627
|
|
|
|
|
|
|
|
628
|
|
|
|
|
|
|
# estimate F average |
629
|
|
|
|
|
|
|
sub _estimate_F |
630
|
|
|
|
|
|
|
{ |
631
|
0
|
|
|
0
|
|
|
my ($knownF,$redundancy,$equalRatio) = @_; |
632
|
|
|
|
|
|
|
|
633
|
0
|
0
|
|
|
|
|
return 1 if($redundancy == 1); |
634
|
|
|
|
|
|
|
|
635
|
0
|
0
|
|
|
|
|
if($equalRatio) # get the mean (1/Fr-1)/(r-1) |
636
|
|
|
|
|
|
|
{ |
637
|
0
|
|
|
|
|
|
my $ratioSum; |
638
|
0
|
|
|
|
|
|
my $cnt = 0; # number of known Fs |
639
|
0
|
|
|
|
|
|
while(my ($r, $F) = each %$knownF) |
640
|
|
|
|
|
|
|
{ |
641
|
0
|
0
|
|
|
|
|
next if $r < 2; # excluding class of redundancy==1 |
642
|
0
|
|
|
|
|
|
$ratioSum += (1/$F-1)/($r-1); |
643
|
0
|
|
|
|
|
|
$cnt++; |
644
|
|
|
|
|
|
|
} |
645
|
|
|
|
|
|
|
|
646
|
0
|
0
|
|
|
|
|
if( $cnt > 0) |
647
|
|
|
|
|
|
|
{ |
648
|
0
|
|
|
|
|
|
my $Fx = 1/($ratioSum/$cnt*($redundancy-1)+1); |
649
|
0
|
|
|
|
|
|
return $Fx; |
650
|
|
|
|
|
|
|
}else # no known F for any class with redundancy > 1 |
651
|
|
|
|
|
|
|
{ |
652
|
0
|
|
|
|
|
|
return undef; |
653
|
|
|
|
|
|
|
} |
654
|
|
|
|
|
|
|
|
655
|
|
|
|
|
|
|
}else # otherwise use Wright's method |
656
|
|
|
|
|
|
|
{ |
657
|
0
|
0
|
|
|
|
|
if($redundancy == 3) |
658
|
|
|
|
|
|
|
{ |
659
|
0
|
|
0
|
|
|
|
my $F2 = $knownF->{2} || 1/2; # class 2 |
660
|
0
|
|
0
|
|
|
|
my $F4 = $knownF->{4} || 1/4; # class 4 |
661
|
0
|
|
|
|
|
|
return ($F2 + $F4)/2; |
662
|
|
|
|
|
|
|
}else |
663
|
|
|
|
|
|
|
{ |
664
|
0
|
|
|
|
|
|
return 1/$redundancy; # assuming no bias |
665
|
|
|
|
|
|
|
} |
666
|
|
|
|
|
|
|
} |
667
|
|
|
|
|
|
|
|
668
|
|
|
|
|
|
|
} |
669
|
|
|
|
|
|
|
|
670
|
|
|
|
|
|
|
# get the default base compostion of this object |
671
|
|
|
|
|
|
|
sub base_composition |
672
|
|
|
|
|
|
|
{ |
673
|
0
|
|
|
0
|
0
|
|
my $self = shift; |
674
|
|
|
|
|
|
|
|
675
|
0
|
|
|
|
|
|
return $self->{'_base_comp'}; |
676
|
|
|
|
|
|
|
} |
677
|
|
|
|
|
|
|
|
678
|
|
|
|
|
|
|
=head2 estimate_base_composition |
679
|
|
|
|
|
|
|
|
680
|
|
|
|
|
|
|
Title : estimate_base_composition |
681
|
|
|
|
|
|
|
Usage : @baseComp = $self->estimate_base_composition($seq,[$pos]) |
682
|
|
|
|
|
|
|
Function: estimate base compositions in the sequence |
683
|
|
|
|
|
|
|
Returns : an array of numbers in the order of A,T,C,G, or its |
684
|
|
|
|
|
|
|
reference if in the scalar context |
685
|
|
|
|
|
|
|
Args : a sequence string or a reference of hash containing codons |
686
|
|
|
|
|
|
|
and their counts (eg., AGG => 30), and optionally an integer; the integer |
687
|
|
|
|
|
|
|
specifies which codon position's nucleotide will be used instead of |
688
|
|
|
|
|
|
|
all three codon positions. |
689
|
|
|
|
|
|
|
|
690
|
|
|
|
|
|
|
=cut |
691
|
|
|
|
|
|
|
|
692
|
|
|
|
|
|
|
sub estimate_base_composition |
693
|
|
|
|
|
|
|
{ |
694
|
0
|
|
|
0
|
1
|
|
my ($self, $seq, $pos) = @_; |
695
|
|
|
|
|
|
|
|
696
|
0
|
|
|
|
|
|
my %bases; |
697
|
|
|
|
|
|
|
# check if input is a codon list |
698
|
|
|
|
|
|
|
my $codonList; |
699
|
0
|
0
|
|
|
|
|
if(ref($seq) eq 'HASH') # a codon list |
700
|
|
|
|
|
|
|
{ |
701
|
0
|
|
|
|
|
|
$codonList = $seq; |
702
|
|
|
|
|
|
|
}else # a sequence string or object |
703
|
|
|
|
|
|
|
{ |
704
|
0
|
|
|
|
|
|
$seq = $self->_get_seq_str($seq); |
705
|
|
|
|
|
|
|
} |
706
|
|
|
|
|
|
|
|
707
|
0
|
0
|
|
|
|
|
if($pos) |
708
|
|
|
|
|
|
|
{ |
709
|
0
|
0
|
0
|
|
|
|
$self->throw("Only 1, 2, or 3 are acceptable for pos,", |
710
|
|
|
|
|
|
|
"'$pos' is not valid here") unless($pos > 0 and $pos < 4); |
711
|
0
|
0
|
|
|
|
|
if($codonList) # input is a codon list |
712
|
|
|
|
|
|
|
{ |
713
|
0
|
|
|
|
|
|
my $base; |
714
|
0
|
|
|
|
|
|
while(my ($codon, $cnt) = each %$codonList) |
715
|
|
|
|
|
|
|
{ |
716
|
0
|
|
|
|
|
|
$base = substr($codon, $pos-1,1); |
717
|
0
|
|
|
|
|
|
$bases{$base} += $cnt; |
718
|
|
|
|
|
|
|
} |
719
|
|
|
|
|
|
|
}else # a sequence |
720
|
|
|
|
|
|
|
{ |
721
|
0
|
|
|
|
|
|
my $seqLen = length($seq); |
722
|
0
|
|
|
|
|
|
my $accuLen = $pos - 1; |
723
|
0
|
|
|
|
|
|
my $period = 3; # a codon length |
724
|
0
|
|
|
|
|
|
my $base; |
725
|
0
|
|
|
|
|
|
while($accuLen < $seqLen) |
726
|
|
|
|
|
|
|
{ |
727
|
0
|
|
|
|
|
|
$base = substr($seq,$accuLen,1); |
728
|
0
|
|
|
|
|
|
$bases{$base}++; |
729
|
0
|
|
|
|
|
|
$accuLen += $period; |
730
|
|
|
|
|
|
|
} |
731
|
|
|
|
|
|
|
} |
732
|
|
|
|
|
|
|
}else # all nucleotides |
733
|
|
|
|
|
|
|
{ |
734
|
0
|
0
|
|
|
|
|
if($codonList) # input is a codon list |
735
|
|
|
|
|
|
|
{ |
736
|
0
|
|
|
|
|
|
while(my ($codon, $cnt) = each %$codonList) |
737
|
|
|
|
|
|
|
{ |
738
|
0
|
|
|
|
|
|
map { $bases{$_} += $cnt } split('', $codon); |
|
0
|
|
|
|
|
|
|
739
|
|
|
|
|
|
|
} |
740
|
|
|
|
|
|
|
}else |
741
|
|
|
|
|
|
|
{ |
742
|
0
|
|
|
|
|
|
map { $bases{$_}++ } split('',$seq); |
|
0
|
|
|
|
|
|
|
743
|
|
|
|
|
|
|
} |
744
|
|
|
|
|
|
|
} |
745
|
|
|
|
|
|
|
|
746
|
0
|
|
|
|
|
|
my $total = 0; |
747
|
0
|
|
|
|
|
|
my @comp; |
748
|
0
|
|
|
|
|
|
foreach ($self->bases) # only consider A,T,C,G |
749
|
|
|
|
|
|
|
{ |
750
|
0
|
|
0
|
|
|
|
$total += $bases{$_} || 0; |
751
|
0
|
|
0
|
|
|
|
push @comp, $bases{$_} || 0; |
752
|
|
|
|
|
|
|
} |
753
|
0
|
|
|
|
|
|
@comp = map { $_/$total } @comp; |
|
0
|
|
|
|
|
|
|
754
|
|
|
|
|
|
|
|
755
|
0
|
0
|
|
|
|
|
return wantarray? @comp : \@comp; |
756
|
|
|
|
|
|
|
} |
757
|
|
|
|
|
|
|
|
758
|
|
|
|
|
|
|
=head2 gc_fraction |
759
|
|
|
|
|
|
|
|
760
|
|
|
|
|
|
|
Title : gc_fraction |
761
|
|
|
|
|
|
|
Usage : $frac = $self->gc_fraction($seq,[$pos]) |
762
|
|
|
|
|
|
|
Function: get fraction of GC content in the sequence |
763
|
|
|
|
|
|
|
Returns : a floating number between 0 and 1. |
764
|
|
|
|
|
|
|
Args : a sequence string or a reference of hash containing codons |
765
|
|
|
|
|
|
|
and their counts (eg., AGG => 30), and optionally an integer; the integer |
766
|
|
|
|
|
|
|
specifies which codon position's nucleotide will be used for |
767
|
|
|
|
|
|
|
calculation (i.e., 1, 2, or 3), instead of all three positions. |
768
|
|
|
|
|
|
|
|
769
|
|
|
|
|
|
|
=cut |
770
|
|
|
|
|
|
|
|
771
|
|
|
|
|
|
|
sub gc_frac |
772
|
|
|
|
|
|
|
{ |
773
|
0
|
|
|
0
|
0
|
|
my ($self, @args) = @_; |
774
|
0
|
|
|
|
|
|
$self->gc_fraction(@args); |
775
|
|
|
|
|
|
|
} |
776
|
|
|
|
|
|
|
|
777
|
|
|
|
|
|
|
sub gc_fraction |
778
|
|
|
|
|
|
|
{ |
779
|
0
|
|
|
0
|
1
|
|
my ($self, @args) = @_; |
780
|
|
|
|
|
|
|
|
781
|
0
|
|
|
|
|
|
my @composition = $self->estimate_base_composition(@args); |
782
|
0
|
|
|
|
|
|
my @bases = $self->bases; |
783
|
0
|
|
|
|
|
|
my @indice = grep { $bases[$_] =~ /[GC]/ } 0..$#bases; |
|
0
|
|
|
|
|
|
|
784
|
|
|
|
|
|
|
|
785
|
0
|
|
|
|
|
|
my $frac = 0; |
786
|
0
|
|
|
|
|
|
foreach (@indice) |
787
|
|
|
|
|
|
|
{ |
788
|
0
|
|
|
|
|
|
$frac += $composition[$_]; |
789
|
|
|
|
|
|
|
} |
790
|
|
|
|
|
|
|
|
791
|
0
|
|
|
|
|
|
return $frac; |
792
|
|
|
|
|
|
|
} |
793
|
|
|
|
|
|
|
|
794
|
|
|
|
|
|
|
=head2 expect_codon_freq |
795
|
|
|
|
|
|
|
|
796
|
|
|
|
|
|
|
Title : expect_codon_freq |
797
|
|
|
|
|
|
|
Usage : $codonFreq = $self->expect_codon_freq($base_composition) |
798
|
|
|
|
|
|
|
Function: return the expected frequency of codons |
799
|
|
|
|
|
|
|
Returns : reference to a hash in which codon is hash key, and |
800
|
|
|
|
|
|
|
fraction is hash value |
801
|
|
|
|
|
|
|
Args : reference to an array of base compositions in the order of |
802
|
|
|
|
|
|
|
[A, T, C, G], represented as either counts or fractions |
803
|
|
|
|
|
|
|
|
804
|
|
|
|
|
|
|
=cut |
805
|
|
|
|
|
|
|
|
806
|
|
|
|
|
|
|
sub expect_codon_freq |
807
|
|
|
|
|
|
|
{ |
808
|
0
|
|
|
0
|
1
|
|
my ($self, $baseComp) = @_; |
809
|
|
|
|
|
|
|
|
810
|
0
|
0
|
|
|
|
|
if(uc($baseComp) eq 'NA') # for cases the composition is |
811
|
|
|
|
|
|
|
# unavailable |
812
|
|
|
|
|
|
|
{ |
813
|
0
|
|
|
|
|
|
return undef; |
814
|
|
|
|
|
|
|
} |
815
|
|
|
|
|
|
|
|
816
|
0
|
0
|
0
|
|
|
|
$self->throw("Input base composition for expect_codon_freq is not an array reference") |
817
|
|
|
|
|
|
|
unless($baseComp and ref($baseComp) eq 'ARRAY'); |
818
|
|
|
|
|
|
|
|
819
|
0
|
|
|
|
|
|
my @bases = $self->bases; |
820
|
0
|
|
|
|
|
|
my $compSum = 0; # used to normalize in case they are not summed to 1 |
821
|
0
|
|
|
|
|
|
my $zeroCnt = 0; # count of zero values |
822
|
0
|
|
|
|
|
|
foreach (0..3) |
823
|
|
|
|
|
|
|
{ |
824
|
0
|
0
|
|
|
|
|
$zeroCnt++ if($baseComp->[$_] == 0); |
825
|
0
|
|
|
|
|
|
$compSum += $baseComp->[$_]; |
826
|
|
|
|
|
|
|
} |
827
|
|
|
|
|
|
|
|
828
|
|
|
|
|
|
|
# set zero value a pseudo count, depending on the provided values |
829
|
|
|
|
|
|
|
# are fractions or counts |
830
|
0
|
0
|
|
|
|
|
my $pseudoCnt = $compSum > 2? 1 : 1/100; |
831
|
0
|
|
|
|
|
|
$compSum += $pseudoCnt * $zeroCnt; |
832
|
0
|
|
0
|
|
|
|
my %freq = map { $bases[$_] => ($baseComp->[$_] || $pseudoCnt)/$compSum } 0..3; |
|
0
|
|
|
|
|
|
|
833
|
0
|
|
|
|
|
|
my %result; |
834
|
0
|
|
|
|
|
|
foreach my $b1 (@bases) |
835
|
|
|
|
|
|
|
{ |
836
|
0
|
|
|
|
|
|
foreach my $b2 (@bases) |
837
|
|
|
|
|
|
|
{ |
838
|
0
|
|
|
|
|
|
foreach my $b3 (@bases) |
839
|
|
|
|
|
|
|
{ |
840
|
0
|
|
|
|
|
|
my $codon = $b1.$b2.$b3; |
841
|
0
|
|
|
|
|
|
$result{$codon} = $freq{$b1}*$freq{$b2}*$freq{$b3}; |
842
|
|
|
|
|
|
|
} |
843
|
|
|
|
|
|
|
} |
844
|
|
|
|
|
|
|
} |
845
|
|
|
|
|
|
|
|
846
|
0
|
|
|
|
|
|
return \%result; |
847
|
|
|
|
|
|
|
} |
848
|
|
|
|
|
|
|
|
849
|
|
|
|
|
|
|
=head1 AUTHOR |
850
|
|
|
|
|
|
|
|
851
|
|
|
|
|
|
|
Zhenguo Zhang, C<< >> |
852
|
|
|
|
|
|
|
|
853
|
|
|
|
|
|
|
=head1 BUGS |
854
|
|
|
|
|
|
|
|
855
|
|
|
|
|
|
|
Please report any bugs or feature requests to C, or through |
856
|
|
|
|
|
|
|
the web interface at L. I will be notified, and then you'll |
857
|
|
|
|
|
|
|
automatically be notified of progress on your bug as I make changes. |
858
|
|
|
|
|
|
|
|
859
|
|
|
|
|
|
|
|
860
|
|
|
|
|
|
|
=head1 SUPPORT |
861
|
|
|
|
|
|
|
|
862
|
|
|
|
|
|
|
You can find documentation for this module with the perldoc command. |
863
|
|
|
|
|
|
|
|
864
|
|
|
|
|
|
|
perldoc Bio::CUA::CUB::Calculator |
865
|
|
|
|
|
|
|
|
866
|
|
|
|
|
|
|
|
867
|
|
|
|
|
|
|
You can also look for information at: |
868
|
|
|
|
|
|
|
|
869
|
|
|
|
|
|
|
=over 4 |
870
|
|
|
|
|
|
|
|
871
|
|
|
|
|
|
|
=item * RT: CPAN's request tracker (report bugs here) |
872
|
|
|
|
|
|
|
|
873
|
|
|
|
|
|
|
L |
874
|
|
|
|
|
|
|
|
875
|
|
|
|
|
|
|
=item * AnnoCPAN: Annotated CPAN documentation |
876
|
|
|
|
|
|
|
|
877
|
|
|
|
|
|
|
L |
878
|
|
|
|
|
|
|
|
879
|
|
|
|
|
|
|
=item * CPAN Ratings |
880
|
|
|
|
|
|
|
|
881
|
|
|
|
|
|
|
L |
882
|
|
|
|
|
|
|
|
883
|
|
|
|
|
|
|
=item * Search CPAN |
884
|
|
|
|
|
|
|
|
885
|
|
|
|
|
|
|
L |
886
|
|
|
|
|
|
|
|
887
|
|
|
|
|
|
|
=back |
888
|
|
|
|
|
|
|
|
889
|
|
|
|
|
|
|
|
890
|
|
|
|
|
|
|
=head1 ACKNOWLEDGEMENTS |
891
|
|
|
|
|
|
|
|
892
|
|
|
|
|
|
|
|
893
|
|
|
|
|
|
|
=head1 LICENSE AND COPYRIGHT |
894
|
|
|
|
|
|
|
|
895
|
|
|
|
|
|
|
Copyright 2015 Zhenguo Zhang. |
896
|
|
|
|
|
|
|
|
897
|
|
|
|
|
|
|
This program is free software: you can redistribute it and/or modify |
898
|
|
|
|
|
|
|
it under the terms of the GNU General Public License as published by |
899
|
|
|
|
|
|
|
the Free Software Foundation, either version 3 of the License, or |
900
|
|
|
|
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|
(at your option) any later version. |
901
|
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902
|
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This program is distributed in the hope that it will be useful, |
903
|
|
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|
but WITHOUT ANY WARRANTY; without even the implied warranty of |
904
|
|
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|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
905
|
|
|
|
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|
|
GNU General Public License for more details. |
906
|
|
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|
907
|
|
|
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|
|
You should have received a copy of the GNU General Public License |
908
|
|
|
|
|
|
|
along with this program. If not, see L. |
909
|
|
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|
|
910
|
|
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|
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|
911
|
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|
=cut |
912
|
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913
|
|
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|
1; # End of Bio::CUA::CUB::Calculator |