# biogram-package: biogram - analysis of biological sequences using n-grams In biogram: N-Gram Analysis of Biological Sequences

## Description

biogram package is a toolbox for the analysis of nucleic acid and protein sequences using n-grams. Possible applications include motif discovery, feature selection, clustering, and classification.

## n-grams

n-grams (k-tuples) are sets of n characters derived from the input sequence(s). They may form continuous sub-sequences or be discontinuous. For example, from the sequence of nucleotides AATA one can extract the following continuous 2-grams (bigrams): AA, AT and TA. Moreover, there are two possible bigrams separated by a single space: A_T and A_A, and one bigram separated by two spaces: A__A.

Another important n-gram parameter is its position. Instead of just counting n-grams, one may want to count how many n-grams occur at a given position in multiple (e.g. related) sequences. For example, in the sequences AATA and AACA there is only one bigram at position 1: AA, but there are two bigrams at position two: AT and AC. The following notation is used for position-specific n-grams: 1_AA, 2_AT, 2_AC.

In the biogram package, the count_ngrams function is used for counting and extracting n-grams. Using the d argument the user can specify the distance between elements of the n-grams. The pos argument can be used to enable position specificity.

## n-gram data dimensionality

We note that n-grams suffer from the curse of dimensionality. For example, for a peptide of length 6 20^{n} n-grams and 6 \times 20^{n} positioned n-grams are possible. Data sets of such an enormous size are hard to manage and analyze in R.

The biogram package deals with both of the abovementioned problems. It uses innate properties of the n-gram data which usually can be represented by sparse matrices. Data storage is done using functionalities from the slam package. To ease the selection of significant features, biogram provides the user with QuiPT, a very fast permutation test for binary data (see test_features).

Another way of reducing dimensionality is the aggregation of sequence residues into more general groups. For example, all positively-charged amino acids may be aggregated into one group. This action can be performed using the degenerate function.

Encoding of amino acids can easu sequence analysis, but multidimensional objects as the aggregations of amino acids are not easily comparable. We introduced the encoding distance, a measure defining the distance between encodings. It can be computed using the calc_ed function.

## Author(s)

Michal Burdukiewicz, Piotr Sobczyk, Chris Lauber

## Examples

  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 # use data set from package data(human_cleave) # first nine columns represent subsequent nine amino acids from cleavage sites # degenerate the sequence to reduce the dimensionality of the problem # (use five groups instead of 20 amino acids) deg_seqs <- degenerate(human_cleave[, 1L:9], list(a = c(1, 6, 8, 10, 11, 18), b = c(2, 13, 14, 16, 17), c = c(5, 19, 20), d = c(7, 9, 12, 15), 'e' = c(3, 4))) # EXAMPLE 1 - extract significant trigrams # extract trigrams trigrams <- count_ngrams(deg_seqs, 3, letters[1L:5], pos = TRUE) # select features that differ between the two target groups using QuiPT test1 <- test_features(human_cleave[, "tar"], trigrams) # see a summary of the results summary(test1) # aggregate features in groups based on their p-value gr <- cut(test1) # get position map of the most significant n-grams position_ngrams(gr[[1]]) # transform the most significant n-grams to more readable form decode_ngrams(gr[[1]]) # EXAMPLE 2 - search for specific n-grams # the n-grams of the interest are a_a (a-gap-a) and e_e (e-gap-e) on the # 3rd and 4th position # firstly code n-grams in biogram notation and add position information coded <- code_ngrams(c("a_a", "c_c")) # add position information coded <- c(paste0("3_", coded), paste0("4_", coded)) # count only the features of the interest bigrams <- count_specified(deg_seqs, coded) # test which of the features of the interest is significant test2 <- test_features(human_cleave[, "tar"], bigrams) cut(test2) 

### Example output

Loading required package: slam
Total number of features: 690
Number of significant features: 70
Criterion used: Information Gain
Feature test: QuiPT
$1 [1] a_0 a_0 b_0 Levels: a_0 b_0 c_0 d_0 e_0$2
[1] a_0 a_0 a_0 b_0 b_0 b_0
Levels: a_0 b_0 c_0 d_0 e_0

$3 [1] a_0 a_0 a_0 a_0 a_0 a_0 a_0 a_0 a_0 a_0 b_0 d_0 Levels: a_0 b_0 c_0 d_0 e_0$4
[1] a_0 a_0 a_0 a_0 a_0 b_0 b_0 c_0 d_0 e_0
Levels: a_0 b_0 c_0 d_0 e_0

$5 [1] a_0 a_0 a_0 a_0 a_0 a_0 a_0 a_0 Levels: a_0 b_0 c_0 d_0 e_0$6
[1] a_0 a_0
Levels: a_0 b_0 c_0 d_0 e_0

$7 [1] b_0 Levels: a_0 b_0 c_0 d_0 e_0 1_a.a.a_0.0 2_a.a.a_0.0 3_a.a.a_0.0 4_a.a.a_0.0 1_b.a.a_0.0 2_b.a.a_0.0 "aaa" "aaa" "aaa" "aaa" "baa" "baa" 3_b.a.a_0.0 1_a.b.a_0.0 3_a.b.a_0.0 3_a.c.a_0.0 3_a.d.a_0.0 3_a.e.a_0.0 "baa" "aba" "aba" "aca" "ada" "aea" 5_a.a.b_0.0 2_b.d.b_0.0 "aab" "bdb"$[0,0.0001]
[1] "3_a.a_1"

$(0.0001,0.01] [1] "3_c.c_1" "4_a.a_1"$(0.01,0.05]
character(0)

\$(0.05,1]
[1] "4_c.c_1"


biogram documentation built on March 31, 2020, 5:14 p.m.