YAPSA

Daniel Huebschmann
26/08/2015

Citation

The package is currently being submitted to Bioconductor. Please use it once it is accepted there and a suitable citation is provided.

General design

Introduction

The concept of mutational signatures was introduced in a series of papers by Ludmil Alexandrov, Serena Nik-Zainal, Michael Stratton and others (for precise citations please refer to the vignette of the package). The general approach is as follows:

1. The SNVs are categorized by their nucleotide exchange. In total there are 4 x 3 = 12 different nucleotide exchanges, but if summing over reverse complements only 12 / 2 = 6 different categories are left. For every SNV detected, the motif context around the position of the SNV is extracted. This may be a trinucleotide context if taking one base upstream and one base downstream of the position of the SNV, but larger motifs may be taken as well (e.g. pentamers). Taking into account the motif context increases combinatorial complexity: in the case of the trinucleotide context, there are 4 x 6 x 4 = 96 different variant categories. These categories are called features in the following text. The number of features will be called n.
2. A cohort consists of different samples with the number of samples denoted by m. For each sample we can count the occurences of each feature, yielding an n-dimensional vector (n being the number of features) per sample. For a cohort, we thus get an n x m -dimensional matrix, called the

mutational catalogue V. It can be understood as a summary indicating which sample has how many variants of which category, but omitting the information of the genomic coordinates of the variants. 3. The mutational catalogue V is quite big and still carries a lot of complexity. For many analyses a reduction of complexity is desirable. One way to achieve such a complexity reduction is a matrix decomposition: we would like to find two smaller matrices W and H which if multiplied would span a high fraction of the complexity of the big matrix V (the mutational catalogue). Remember that V is an n x m -dimensional matrix, n being the number of features and m being the number of samples. W in this setting is an n x l -dimensional matrix and H is an l x m -dimensional matrix. The columns of W are called the mutational signatures and the columns of H are called exposures. l denotes the number of mutational signatures. Hence the signatures are n-dimensional vectors (with n being the number of features), while the exposures are l-dimensional vectors (l being the number of signatures). Note that as we are dealing with count data, we would like to have only positive entries in W and H. A mathematical method which is able to do such a decomposition is the NMF (nonnegative matrix factorization). It basically solves the problem as illustrated in the following figure:

Of course the whole concept only leads to a reduction in complexity if l < n, i.e. if the number of signatures is smaller than the number of features, as indicated in the above figure. Note that the NMF itself solves the above problem for a given number of signatures l. Addinional criteria exist to evaluate the true number of signatures.

The YAPSA package

In a context where mutational signatures W are already known (because they were decribed and published or they are available in a database as under http://cancer.sanger.ac.uk/cosmic/signatures), we might want to just find the exposures H for these known signatures in the mutational catalogue V of a given cohort.

The YAPSA-package (Yet Another Package for Signature Analysis) presented here provides the function LCD (linear combination decomposition) to perform this task. The advantage of this method is that there are no constraints on the cohort size, so LCD can be run for as little as one sample and thus be used e.g. for signature analysis in personalized oncology. In contrast to NMF, LCD is very fast and requires very little computational resources. The YAPSA package provides additional functions for signature analysis, e.g. for stratifying the mutational catalogue to determine signature exposures in different strata, part of which is discussed in the vignette of the package.

Install

As long as YAPSA is not yet accepted on Bioconductor it may be downloaded and installed from github:

library(devtools)
install_github("huebschm/YAPSA")

Of course, devtools has to be installed:

install.packages("devtools")

YAPSA already has preparations to use the newest versions of the pacakges circlize and ComplexHeatmap by Zuguang Gu. These are currently not in the release branch of Bioconductor. If you want your system to be ready for the next coming update of YAPSA you may already now install the newest versions of these packages from github as well:

install_github("jokergoo/circlize")
install_github("jokergoo/ComplexHeatmap")

If you ran into dependency conflicts before, try rerunning install_github("huebschm/YAPSA") now.

Usage

Example: a cohort of B-cell lymphomas

library(YAPSA)
library(knitr)
opts_chunk$set(echo=TRUE)
opts_chunk$set(fig.show='asis')

Loading example data

Load data in a vcf-like format:

data("lymphoma_Nature2013_raw")

Adapt the data structure:

names(lymphoma_Nature2013_raw_df) <- c("PID","TYPE","CHROM","START",
                                       "STOP","REF","ALT","FLAG")
lymphoma_Nature2013_df <- subset(lymphoma_Nature2013_raw_df,TYPE=="subs",
                                 select=c(CHROM,START,REF,ALT,PID))
names(lymphoma_Nature2013_df)[2] <- "POS"
head(lymphoma_Nature2013_df)

##   CHROM       POS REF ALT      PID
## 1     1 183502381   G   A 07-35482
## 2    18  60985506   T   A 07-35482
## 3    18  60985748   G   T 07-35482
## 4    18  60985799   T   C 07-35482
## 5     2 242077457   A   G 07-35482
## 6     6  13470412   C   T 07-35482

Note that there are 48 different samples:

unique(lymphoma_Nature2013_df$PID)

##  [1] 07-35482       1060           1061           1065          
##  [5] 1093           1096           1102           4101316       
##  [9] 4105105        4108101        4112512        4116738       
## [13] 4119027        4121361        4125240        4133511       
## [17] 4135350        4142267        4158726        4159170       
## [21] 4163639        4175837        4177856        4182393       
## [25] 4189200        4189998        4190495        4193278       
## [29] 4194218        4194891        515            DLBCL-PatientA
## [33] DLBCL-PatientB DLBCL-PatientC DLBCL-PatientD DLBCL-PatientE
## [37] DLBCL-PatientF DLBCL-PatientG DLBCL-PatientH DLBCL-PatientI
## [41] DLBCL-PatientJ DLBCL-PatientK DLBCL-PatientL DLBCL-PatientM
## [45] EB2            FL009          FL-PatientA    G1            
## 48 Levels: 07-35482 1060 1061 1065 1093 1096 1102 4101316 ... G1

For convenience later on, we annotate subgroup information to every variant (indirectly through the sample it occurs in). For reasons of simplicity, we also restrict the analysis to the Whole Genome Sequencing (WGS) datasets:

lymphoma_Nature2013_df$SUBGROUP <- "unknown"
DLBCL_ind <- grep("^DLBCL.*",lymphoma_Nature2013_df$PID)
lymphoma_Nature2013_df$SUBGROUP[DLBCL_ind] <- "DLBCL_other"
MMML_ind <- grep("^41[0-9]+$",lymphoma_Nature2013_df$PID)
lymphoma_Nature2013_df <- lymphoma_Nature2013_df[MMML_ind,]
data(lymphoma_PID)
for(my_PID in rownames(lymphoma_PID_df)) {
  PID_ind <- which(as.character(lymphoma_Nature2013_df$PID)==my_PID)
  lymphoma_Nature2013_df$SUBGROUP[PID_ind] <-
    lymphoma_PID_df$subgroup[which(rownames(lymphoma_PID_df)==my_PID)]
}
lymphoma_Nature2013_df$SUBGROUP <- factor(lymphoma_Nature2013_df$SUBGROUP)
unique(lymphoma_Nature2013_df$SUBGROUP)

## [1] WGS_D WGS_F WGS_B WGS_I
## Levels: WGS_B WGS_D WGS_F WGS_I

As stated above, one of the functions in the YAPSA package (LCD) is designed to do mutational signatures analysis with known signatures. There are (at least) two possible sources for signature data: i) the ones published initially by Alexandrov, and ii) an updated and curated current set of mutational signatures is maintained by Ludmil Alexandrov at http://cancer.sanger.ac.uk/cosmic/signatures.

data(sigs)
current_sig_df <- AlexCosmicValid_sig_df
current_sigInd_df <- AlexCosmicValid_sigInd_df

Now we can start using main functions of the YAPSA package: LCD and LCD_complex_cutoff.

Building a mutational catalogue

Prepare.

library(BSgenome.Hsapiens.UCSC.hg19)
lymphoma_Nature2013_df <- translate_to_hg19(lymphoma_Nature2013_df,"CHROM")
lymphoma_Nature2013_df$change <- 
  attribute_nucleotide_exchanges(lymphoma_Nature2013_df)
lymphoma_Nature2013_df <- 
  lymphoma_Nature2013_df[order(lymphoma_Nature2013_df$PID,
                               lymphoma_Nature2013_df$CHROM,
                               lymphoma_Nature2013_df$POS),]

This section uses functions which are to a large extent wrappers for functions in the package SomaticSignatures by Julian Gehring.

word_length <- 3
lymphomaNature2013_mutCat_list <- 
  create_mutation_catalogue_from_df(
    lymphoma_Nature2013_df,
    this_seqnames.field = "CHROM", this_start.field = "POS",
    this_end.field = "POS", this_PID.field = "PID",
    this_subgroup.field = "SUBGROUP",
    this_refGenome = BSgenome.Hsapiens.UCSC.hg19,
    this_wordLength = word_length)

The function create_mutation_catalogue_from_df returns a list object with several entries. We will use the one called matrix.

lymphomaNature2013_mutCat_df <- as.data.frame(
  lymphomaNature2013_mutCat_list$matrix)

LCD analysis with signature-specific cutoffs

When using LCD_complex_cutoff, we have to supply a vector of cutoffs with as many entries as there are signatures. It may make sense to provide different cutoffs for different signatures.

my_cutoff <- 0.06
general_cutoff_vector <- rep(my_cutoff,dim(current_sig_df)[2])
specific_cutoff_vector <- general_cutoff_vector
specific_cutoff_vector[c(1,5)] <- 0
specific_cutoff_vector

##  [1] 0.00 0.06 0.06 0.06 0.00 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06
## [15] 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06
## [29] 0.06 0.06

In this example, the cutoff for signatures AC1 and AC5 is thus set to 0, whereas the cutoffs for all other signatures remains at 0.06. Running the function LCD_complex_cutoff:

CosmicValid_cutoffSpec_LCDlist <- LCD_complex_cutoff(
  in_mutation_catalogue_df = lymphomaNature2013_mutCat_df,
  in_signatures_df = current_sig_df,
  in_cutoff_vector = specific_cutoff_vector,
  in_sig_ind_df = current_sigInd_df)

Some adaptation (extracting and reformatting the information which sample belongs to which subgroup):

COSMIC_subgroups_df <- 
  make_subgroups_df(CosmicValid_cutoffSpec_LCDlist$exposures,
                    lymphoma_Nature2013_df)

Plotting absolute exposures for visualization:

exposures_barplot(
  in_exposures_df = CosmicValid_cutoffSpec_LCDlist$exposures,
  in_signatures_ind_df = CosmicValid_cutoffSpec_LCDlist$out_sig_ind_df,
  in_subgroups_df = COSMIC_subgroups_df)

And relative exposures:

exposures_barplot(
  in_exposures_df = CosmicValid_cutoffSpec_LCDlist$norm_exposures,
  in_signatures_ind_df = CosmicValid_cutoffSpec_LCDlist$out_sig_ind_df,
  in_subgroups_df = COSMIC_subgroups_df)

Note that the signatures extracted with the signature-specific cutoffs are the same in the example displayed here. Depending on the analyzed cohort and the choice of cutoffs, the extracted signatures may vary considerably.

Cluster samples based on their signature exposures

To identify groups of samples which were exposed to similar mutational processes, the exposure vectors of the samples can be compared. The YAPSA package provides a custom function for this task: complex_heatmap_exposures, which uses the package ComplexHeatmap by Zuguang Gu. It produces output as follows:

complex_heatmap_exposures(CosmicValid_cutoffSpec_LCDlist$norm_exposures,
                          COSMIC_subgroups_df,
                          CosmicValid_cutoffSpec_LCDlist$out_sig_ind_df,
                          in_data_type="norm exposures",
                          in_subgroup_colour_column="col",
                          in_method="manhattan",
                          in_subgroup_column="subgroup")

If you are interested only in the clustering and not in the heatmap information, you could also use hclust_exposures:

hclust_list <- 
  hclust_exposures(CosmicValid_cutoffSpec_LCDlist$norm_exposures,
                   COSMIC_subgroups_df,
                   in_method="manhattan",
                   in_subgroup_column="subgroup")

The dendrogram produced by either the function complex_heatmap_exposures or the function hclust_exposures can be cut to yield signature exposure specific subgroups of the PIDs.

cluster_vector <- cutree(hclust_list$hclust,k=4)
COSMIC_subgroups_df$cluster <- cluster_vector
subgroup_colour_vector <- rainbow(length(unique(COSMIC_subgroups_df$cluster)))
COSMIC_subgroups_df$cluster_col <- 
  subgroup_colour_vector[factor(COSMIC_subgroups_df$cluster)]
complex_heatmap_exposures(CosmicValid_cutoffSpec_LCDlist$norm_exposures,
                          COSMIC_subgroups_df,
                          CosmicValid_cutoffSpec_LCDlist$out_sig_ind_df,
                          in_data_type="norm exposures",
                          in_subgroup_colour_column="cluster_col",
                          in_method="manhattan",
                          in_subgroup_column="cluster")

Performing a stratification based on mutation density

This type of analysis is performed using the function run_SMC where SMC stands for stratification of the mutational catalogue. For details on this function please consult the vignette.