Package 'RESOLVE'

Title: RESOLVE: An R package for the efficient analysis of mutational signatures from cancer genomes
Description: Cancer is a genetic disease caused by somatic mutations in genes controlling key biological functions such as cellular growth and division. Such mutations may arise both through cell-intrinsic and exogenous processes, generating characteristic mutational patterns over the genome named mutational signatures. The study of mutational signatures have become a standard component of modern genomics studies, since it can reveal which (environmental and endogenous) mutagenic processes are active in a tumor, and may highlight markers for therapeutic response. Mutational signatures computational analysis presents many pitfalls. First, the task of determining the number of signatures is very complex and depends on heuristics. Second, several signatures have no clear etiology, casting doubt on them being computational artifacts rather than due to mutagenic processes. Last, approaches for signatures assignment are greatly influenced by the set of signatures used for the analysis. To overcome these limitations, we developed RESOLVE (Robust EStimation Of mutationaL signatures Via rEgularization), a framework that allows the efficient extraction and assignment of mutational signatures. RESOLVE implements a novel algorithm that enables (i) the efficient extraction, (ii) exposure estimation, and (iii) confidence assessment during the computational inference of mutational signatures.
Authors: Daniele Ramazzotti [aut] , Luca De Sano [cre, aut]
Maintainer: Luca De Sano <[email protected]>
License: file LICENSE
Version: 1.9.0
Built: 2024-12-22 06:22:35 UTC
Source: https://github.com/bioc/RESOLVE

Help Index


Germline replication error

Description

Germline replication error estimated in Rahbari, Raheleh, et al. (2016).

Usage

data(background)

Format

Vector of rates

Value

Vector of rates for the 96 trinucleotides

Source

Nat Genet. 2016 Feb;48(2):126-133 (https://www.nature.com/articles/ng.3469).


COSMIC replication error

Description

Background replication error signature derived from COSMIC SBS5.

Usage

data(background2)

Format

Vector of rates

Value

Vector of rates for the 96 trinucleotides

Source

COSMIC database (https://cancer.sanger.ac.uk/cosmic/signatures) v3.


A reduced version of the copy number data for 5 TCGA samples in the format compatible with the import function

Description

Reduced version of the dataset of counts of copy numbers detected in TCGA tumors published in Steele, Christopher D., et al. (2022).

Usage

data(cn_example_reduced)

Format

Reduced version of the counts of copy numbers in the format compatible with the import function

Value

Reduced version of the counts of copy numbers for 5 tumors and 48 copy number classes in the format compatible with the import function

Source

Nature. 2022 Jun;606(7916):984-991 (https://www.nature.com/articles/s41586-022-04738-6).


getCNCounts

Description

Create Copy Numbers (CNs) counts matrix from input data. This function has been derived from: https://github.com/UCL-Research-Department-of-Pathology/panConusig/blob/main/R/setup_CNsigs.R

Usage

getCNCounts(data)

Arguments

data

A data.frame with copy number data having 6 columns: sample name, chromosome, start position, end position, major CN, minor CN.

Value

A matrix with Copy Numbers (CNs) counts per patient.

Examples

data(cn_example_reduced)
res <- getCNCounts(data = cn_example_reduced)

getIDCounts

Description

Create Small Insertions and Deletions (IDs) counts matrix from input data.

Usage

getIDCounts(data, reference = NULL)

Arguments

data

A data.frame with variants having 6 columns: sample name, chromosome, start position, end position, ref, alt.

reference

A BSgenome object with the reference genome to be used.

Value

A matrix with Small Insertions and Deletions (IDs) counts per patient.

Examples

library('BSgenome.Hsapiens.1000genomes.hs37d5')
data(id_example_reduced)
res <- getIDCounts(data = id_example_reduced, reference = BSgenome.Hsapiens.1000genomes.hs37d5)

getMNVCounts

Description

Create Multi-Nucleotide Variants (MNVs) counts matrix from input data.

Usage

getMNVCounts(data, predefined_dbs_mbs = FALSE)

Arguments

data

A data.frame with variants having 6 columns: sample name, chromosome, start position, end position, ref, alt.

predefined_dbs_mbs

Boolean. As defined by the function get_mut_type from the package MutationalPatterns, it specifies whether dbs and mbs mutations have been predefined in the input data. This function by default assumes that dbs and mbs mutations are present in the vcf as snvs, which are positioned next to each other. If your dbs/mbs mutations are called separately, you should set this argument to TRUE.

Value

A matrix with Multi-Nucleotide Variants (MNVs) counts per patient.

Examples

data(ssm560_reduced)
res <- getMNVCounts(data = ssm560_reduced)

getSBSCounts

Description

Create Single Base Substitutions (SBS) counts matrix from input data for a provided reference genome.

Usage

getSBSCounts(data, reference = NULL)

Arguments

data

A data.frame with variants having 6 columns: sample name, chromosome, start position, end position, ref, alt.

reference

A BSgenome object with the reference genome to be used to retrieve flanking bases.

Value

A matrix with Single Base Substitutions (SBS) counts per patient.

Examples

library('BSgenome.Hsapiens.1000genomes.hs37d5')
data(ssm560_reduced)
res <- getSBSCounts(data = ssm560_reduced, reference = BSgenome.Hsapiens.1000genomes.hs37d5)

groupsCNPlot

Description

Plot observed Copy Number (CN) counts for different groups of patients.

Usage

groupsCNPlot(counts, groups, normalize = TRUE, xlabels = FALSE)

Arguments

counts

Matrix with Copy Number (CN) counts data.

groups

List where names are groups labels and elements are patients labels corresponding to rownames in counts.

normalize

Boolean value; shall I normalize observed counts?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
counts <- plot_data_examples[['groups.CN.plot']][['counts']]
groups <- plot_data_examples[['groups.CN.plot']][['groups']]
groupsCNPlot(counts=counts,groups=groups)

groupsCXPlot

Description

Plot observed Copy Number (Reduced, CX) counts for different groups of patients.

Usage

groupsCXPlot(counts, groups, normalize = TRUE, xlabels = FALSE)

Arguments

counts

Matrix with Copy Number (Reduced, CX) counts data.

groups

List where names are groups labels and elements are patients labels corresponding to rownames in counts.

normalize

Boolean value; shall I normalize observed counts?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
counts <- plot_data_examples[['groups.CX.plot']][['counts']]
groups <- plot_data_examples[['groups.CX.plot']][['groups']]
groupsCXPlot(counts=counts,groups=groups)

groupsIDPlot

Description

Plot observed Small Insertions and Deletions (ID) counts for different groups of patients.

Usage

groupsIDPlot(counts, groups, normalize = TRUE, xlabels = FALSE)

Arguments

counts

Matrix with Small Insertions and Deletions (ID) counts data.

groups

List where names are groups labels and elements are patients labels corresponding to rownames in counts.

normalize

Boolean value; shall I normalize observed counts?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
counts <- plot_data_examples[['groups.ID.plot']][['counts']]
groups <- plot_data_examples[['groups.ID.plot']][['groups']]
groupsIDPlot(counts=counts,groups=groups)

groupsMNVPlot

Description

Plot observed Multi-Nucleotide Variants (MNVs) counts for different groups of patients.

Usage

groupsMNVPlot(counts, groups, normalize = TRUE, xlabels = FALSE)

Arguments

counts

Matrix with Multi-Nucleotide Variants (MNVs) counts data.

groups

List where names are groups labels and elements are patients labels corresponding to rownames in counts.

normalize

Boolean value; shall I normalize observed counts?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
counts <- plot_data_examples[['groups.MNV.plot']][['counts']]
groups <- plot_data_examples[['groups.MNV.plot']][['groups']]
groupsMNVPlot(counts=counts,groups=groups)

groupsSBSPlot

Description

Plot observed Single Base Substitutions (SBS) counts for different groups of patients.

Usage

groupsSBSPlot(counts, groups, normalize = TRUE, xlabels = FALSE)

Arguments

counts

Matrix with Single Base Substitutions (SBS) counts data.

groups

List where names are groups labels and elements are patients labels corresponding to rownames in counts.

normalize

Boolean value; shall I normalize observed counts?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
counts <- plot_data_examples[['groups.SBS.plot']][['counts']]
groups <- plot_data_examples[['groups.SBS.plot']][['groups']]
groupsSBSPlot(counts=counts,groups=groups)

A reduced version of the indel data for 3 samples in the format compatible with the import function

Description

Reduced version of the dataset of counts of indels detected in 3 samples from Osorio, Fernando G., et al. (2018).

Usage

data(id_example_reduced)

Format

Reduced version of the counts of indels in the format compatible with the import function

Value

Reduced version of the counts of indels for 3 samples and 83 indel classes in the format compatible with the import function

Source

Cell Rep. 2018 Nov 27;25(9):2308-2316.e4 (10.1016/j.celrep.2018.11.014).


Point mutations for 560 breast tumors

Description

Dataset of counts of the point mutations detected in 560 breast tumors published in Nik-Zainal, Serena, et al. (2016).

Usage

data(patients)

Format

Counts of the point mutations

Value

Counts of point mutations for 560 tumors and 96 trinucleotides

Source

Nature. 2016 Jun 2;534(7605):47-54 (https://www.nature.com/articles/nature17676).


patientsCNPlot

Description

Plot Copy Number (CN) counts for a set of given patients.

Usage

patientsCNPlot(
  cn_data_counts,
  samples = rownames(cn_data_counts),
  freq = FALSE,
  xlabels = FALSE
)

Arguments

cn_data_counts

Copy Number counts matrix.

samples

Name of the samples. This should match a rownames in cn_data_counts

freq

Boolean value; shall I display rates instead of counts?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
counts <- plot_data_examples[['patients.CN.plot']][['counts']]
patientsCNPlot(cn_data_counts=counts,samples=rownames(counts)[seq_len(2)])

patientsCXPlot

Description

Plot Copy Number (Reduced, CX) counts for a set of given patients.

Usage

patientsCXPlot(
  cn_data_counts,
  samples = rownames(cn_data_counts),
  freq = FALSE,
  xlabels = FALSE
)

Arguments

cn_data_counts

Copy Number counts matrix.

samples

Name of the samples. This should match a rownames in cn_data_counts

freq

Boolean value; shall I display rates instead of counts?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
counts <- plot_data_examples[['patients.CX.plot']][['counts']]
patientsCXPlot(cn_data_counts=counts,samples=rownames(counts)[seq_len(2)])

patientsIDPlot

Description

Plot Small Insertions and Deletions (ID) counts for a set of given patients.

Usage

patientsIDPlot(
  id_data_counts,
  samples = rownames(id_data_counts),
  freq = FALSE,
  xlabels = FALSE
)

Arguments

id_data_counts

Small Insertions and Deletions counts matrix.

samples

Name of the samples. This should match a rownames in id_data_counts

freq

Boolean value; shall I display rates instead of counts?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
counts <- plot_data_examples[['patients.ID.plot']][['counts']]
patientsIDPlot(id_data_counts=counts,samples=rownames(counts)[seq_len(2)])

patientsMNVPlot

Description

Plot Multi-Nucleotide Variants (MNVs) counts for a set of given patients.

Usage

patientsMNVPlot(
  multi_nucleotides_counts,
  samples = rownames(multi_nucleotides_counts),
  freq = FALSE,
  xlabels = FALSE
)

Arguments

multi_nucleotides_counts

Multi-Nucleotide counts matrix.

samples

Name of the samples. This should match a rownames in multi_nucleotides_counts

freq

Boolean value; shall I display rates instead of counts?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
counts <- plot_data_examples[['patients.MNV.plot']][['counts']]
patientsMNVPlot(multi_nucleotides_counts=counts,samples=rownames(counts)[seq_len(2)])

patientsSBSPlot

Description

Plot Single Base Substitutions (SBS) counts for a set of given patients.

Usage

patientsSBSPlot(
  trinucleotides_counts,
  samples = rownames(trinucleotides_counts),
  freq = FALSE,
  xlabels = FALSE
)

Arguments

trinucleotides_counts

Trinucleotides counts matrix.

samples

Name of the samples. This should match a rownames in trinucleotides_counts.

freq

Boolean value; shall I display rates instead of counts?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
counts <- plot_data_examples[['patients.SBS.plot']][['counts']]
patientsSBSPlot(trinucleotides_counts=counts,samples=rownames(counts)[seq_len(2)])

List data structure to run examples

Description

List data structure to run examples.

Usage

data(plot_data_examples)

Format

List data structure to run examples

Value

List data structure to run examples

Source

List data structure to run examples.


signaturesAssignment

Description

Perform the assignment of K somatic mutational signatures provided as input to samples given a set of observed counts x. This function can be used to estimate different types of mutational signatures such as: SBS (single base substitutions) and MNV (multi-nucleotide variant) (see Degasperi, Andrea, et al. 'Substitution mutational signatures in whole-genome–sequenced cancers in the UK population.' Science 376.6591 (2022): abl9283), CX (chromosomal instability) (see Drews, Ruben M., et al. 'A pan-cancer compendium of chromosomal instability.' Nature 606.7916 (2022): 976-983) and CN (copy number) signatures (see Steele, Christopher D., et al. 'Signatures of copy number alterations in human cancer.' Nature 606.7916 (2022): 984-991).

Usage

signaturesAssignment(x, beta)

Arguments

x

Counts matrix for a set of n patients and m categories. These can be, e.g., SBS, MNV, CN or CN counts; in the case of SBS it would be an n patients x 96 trinucleotides matrix.

beta

Matrix of the discovered signatures to be used for the assignment.

Value

A list with the discovered signatures. It includes 3 elements: alpha: matrix of the discovered exposure values. beta: matrix of the discovered signatures. unexplained_mutations: number of unexplained mutations per sample.

Examples

data(background)
data(patients)
set.seed(12345)
beta <- signaturesDecomposition(x = patients[seq_len(3),seq_len(2)],
                                K = 3,
                                background_signature = background[seq_len(2)],
                                nmf_runs = 2,
                                num_processes = 1)
set.seed(12345)
res <- signaturesAssignment(x = patients[seq_len(3),seq_len(2)], beta = beta$beta[[1]])

signaturesCNPlot

Description

Plot the inferred Copy Number (CN) mutational signatures.

Usage

signaturesCNPlot(beta, useRowNames = FALSE, xlabels = FALSE)

Arguments

beta

Matrix with the inferred mutational signatures.

useRowNames

Boolean value; shall I use the rownames from beta as names for the signatures?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
beta <- plot_data_examples[['signatures.CN.plot']][['beta']]
signaturesCNPlot(beta=beta)

signaturesCV

Description

Perform the assessment of different signaturesDecomposition solutions by cross-validation for K (beta, as estimated by signaturesDecomposition) somatic mutational signatures given a set of observations x and discovered signatures beta.

Usage

signaturesCV(
  x,
  beta,
  normalize_counts = FALSE,
  cross_validation_entries = 0.01,
  cross_validation_iterations = 5,
  cross_validation_repetitions = 100,
  num_processes = Inf,
  verbose = TRUE
)

Arguments

x

Counts matrix for a set of n patients and m categories. These can be, e.g., SBS, MNV, CN or CN counts; in the case of SBS it would be an n patients x 96 trinucleotides matrix.

beta

A set of inferred signatures as returned by signaturesDecomposition function.

normalize_counts

If true, the input counts matrix x is normalized such that the patients have the same number of mutation.

cross_validation_entries

Percentage of cells in the counts matrix to be replaced by 0s during cross-validation.

cross_validation_iterations

For each configuration, the first time the signatures are fitted form a matrix with a percentage of values replaced by 0s. This may result in poor fit/results. Then, we perform predictions of these entries and replace them with such predicted values. This parameter is the number of restarts to be performed to improve this estimate and obtain more stable solutions.

cross_validation_repetitions

Number of time cross-validation should be repeated. Higher values result in better estimate, but are computationally more expensive.

num_processes

Number of processes to be used during parallel execution. To execute in single process mode, this parameter needs to be set to either NA or NULL.

verbose

Boolean. Shall I print information messages?

Value

A list of 2 elements: estimates and summary. Here, cv_estimates reports the mean squared error for each configuration of performed cross-validation; rank_estimates reports mean and median values for each value of K.

Examples

data(background)
data(patients)
set.seed(12345)
sigs <- signaturesDecomposition(x = patients[seq_len(3),seq_len(2)],
                                K = 3:4,
                                background_signature = background[seq_len(2)],
                                nmf_runs = 2,
                                num_processes = 1)
set.seed(12345)
res <- signaturesCV(x = patients[seq_len(3),seq_len(2)],
                    beta = sigs$beta,
                    cross_validation_iterations = 2,
                    cross_validation_repetitions = 2,
                    num_processes = 1)

signaturesCXPlot

Description

Plot the inferred Copy Number (Reduced, CX) mutational signatures.

Usage

signaturesCXPlot(beta, useRowNames = FALSE, xlabels = FALSE)

Arguments

beta

Matrix with the inferred mutational signatures.

useRowNames

Boolean value; shall I use the rownames from beta as names for the signatures?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
beta <- plot_data_examples[['signatures.CX.plot']][['beta']]
signaturesCXPlot(beta=beta)

signaturesDecomposition

Description

Perform signatures discovery and rank estimation for a range of K somatic mutational signatures given a set of observed counts x. This function can be used to estimate different types of mutational signatures such as: SBS (single base substitutions) and MNV (multi-nucleotide variant) (see Degasperi, Andrea, et al. 'Substitution mutational signatures in whole-genome–sequenced cancers in the UK population.' Science 376.6591 (2022): abl9283), CX (chromosomal instability) (see Drews, Ruben M., et al. 'A pan-cancer compendium of chromosomal instability.' Nature 606.7916 (2022): 976-983) and CN (copy number) signatures (see Steele, Christopher D., et al. 'Signatures of copy number alterations in human cancer.' Nature 606.7916 (2022): 984-991).

Usage

signaturesDecomposition(
  x,
  K,
  background_signature = NULL,
  normalize_counts = FALSE,
  nmf_runs = 100,
  num_processes = Inf,
  verbose = TRUE
)

Arguments

x

Counts matrix for a set of n patients and m categories. These can be, e.g., SBS, MNV, CN or CN counts; in the case of SBS it would be an n patients x 96 trinucleotides matrix.

K

Either one value or a range of numeric values (each of them greater than 0) indicating the number of signatures to be considered.

background_signature

Background signature to be used.

normalize_counts

If true, the input counts matrix x is normalized such that the patients have the same number of mutation.

nmf_runs

Number of iteration (minimum 1) of NMF to be performed for a robust estimation of beta.

num_processes

Number of processes to be used during parallel execution. To execute in single process mode, this parameter needs to be set to either NA or NULL.

verbose

Boolean. Shall I print information messages?

Value

A list with the discovered signatures and related rank measures. It includes 5 elements: alpha: list of matrices of the discovered exposure values for each possible rank in the range K. beta: list of matrices of the discovered signatures for each possible rank in the range K. unexplained_mutations: number of unexplained mutations per sample. cosine_similarity: cosine similarity comparing input data x and predictions for each rank in the range K. measures: a data.frame containing the quality measures for each possible rank in the range K.

Examples

data(background)
data(patients)
set.seed(12345)
res <- signaturesDecomposition(x = patients[seq_len(3),seq_len(2)],
                               K = 3:4,
                               background_signature = background[seq_len(2)],
                               nmf_runs = 2,
                               num_processes = 1)

signaturesIDPlot

Description

Plot the inferred Small Insertions and Deletions (ID) mutational signatures.

Usage

signaturesIDPlot(beta, useRowNames = FALSE, xlabels = FALSE)

Arguments

beta

Matrix with the inferred mutational signatures.

useRowNames

Boolean value; shall I use the rownames from beta as names for the signatures?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
beta <- plot_data_examples[['signatures.ID.plot']][['beta']]
signaturesIDPlot(beta=beta)

signaturesMNVPlot

Description

Plot the inferred Multi-Nucleotide Variants (MNVs) mutational signatures.

Usage

signaturesMNVPlot(beta, useRowNames = FALSE, xlabels = FALSE)

Arguments

beta

Matrix with the inferred mutational signatures.

useRowNames

Boolean value; shall I use the rownames from beta as names for the signatures?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
beta <- plot_data_examples[['signatures.MNV.plot']][['beta']]
signaturesMNVPlot(beta=beta)

signaturesSBSPlot

Description

Plot the inferred Single Base Substitutions (SBS) mutational signatures.

Usage

signaturesSBSPlot(beta, useRowNames = FALSE, xlabels = FALSE)

Arguments

beta

Matrix with the inferred mutational signatures.

useRowNames

Boolean value; shall I use the rownames from beta as names for the signatures?

xlabels

Boolean value; shall I display x labels?

Value

A ggplot2 object.

Examples

data(plot_data_examples)
beta <- plot_data_examples[['signatures.SBS.plot']][['beta']]
signaturesSBSPlot(beta=beta)

signaturesSignificance

Description

Perform a robust estimation of alpha coefficients by bootstrap to reach a certain level of cosine similarity given a set of observed counts x and discovered signatures beta.

Usage

signaturesSignificance(
  x,
  beta,
  cosine_thr = 0.95,
  min_contribution = 0.05,
  pvalue_thr = 0.05,
  nboot = 100,
  num_processes = Inf,
  verbose = TRUE
)

Arguments

x

Counts matrix for a set of n patients and m categories. These can be, e.g., SBS, MNV, CN or CN counts; in the case of SBS it would be an n patients x 96 trinucleotides matrix.

beta

Discovered signatures to be used for the fit of alpha.

cosine_thr

Level of cosine similarity to be reached for the fit of alpha.

min_contribution

Minimum contribution of a signature to be considered significant.

pvalue_thr

Pvalue level to be used to assess significance.

nboot

Number of bootstrap iterations to be performed.

num_processes

Number of processes to be used during parallel execution. To execute in single process mode, this parameter needs to be set to either NA or NULL.

verbose

Boolean. Shall I print information messages?

Value

A list with the bootstrap estimates. It includes 5 elements: alpha: matrix of the discovered exposure values considering significant signatures as estimated by bootstrap. beta: matrix of the discovered signatures. unexplained_mutations: number of unexplained mutations per sample. goodness_fit: vector reporting cosine similarities between predictions and observations. bootstrap_estimates: list of matrices reporting results by bootstrap estimates.

Examples

data(background)
data(patients)
set.seed(12345)
beta <- signaturesDecomposition(x = patients[seq_len(3),seq_len(2)],
                                K = 3:4,
                                background_signature = background[seq_len(2)],
                                nmf_runs = 2,
                                num_processes = 1)
set.seed(12345)
res <- signaturesSignificance(x = patients[seq_len(3),seq_len(2)],
                              beta = beta$beta[[1]],
                              cosine_thr = 0.95,
                              min_contribution = 0.05,
                              pvalue_thr = 0.05,
                              nboot = 5,
                              num_processes = 1)

A reduced version of the point mutations for 560 breast tumors in the format compatible with the import function

Description

Reduced version of the dataset of counts of the point mutations detected in 560 breast tumors published in Nik-Zainal, Serena, et al. (2016).

Usage

data(ssm560_reduced)

Format

Reduced version of the counts of the point mutations in the format compatible with the import function

Value

Reduced version of the counts of point mutations for 560 tumors and 96 trinucleotides in the format compatible with the import function

Source

Nature. 2016 Jun 2;534(7605):47-54 (https://www.nature.com/articles/nature17676).