Lorena Pantano Harvard TH Chan School of Public Health, Boston, US

Introduction

miRNAs are small RNA fragments (18-23 nt long) that influence gene expression during development and cell stability. Morin et al (Morin et al. 2008), discovered isomiRs first time after sequencing human stem cells.

IsomiRs are miRNAs that vary slightly in sequence, which result from variations in the cleavage site during miRNA biogenesis (5’-trimming and 3’-trimming variants), nucleotide additions to the 3’-end of the mature miRNA (3’-addition variants) and nucleotide modifications (substitution variants)(Martí et al. 2010).

There are many tools designed for isomiR detection, however the majority are web application where user can not control the analysis. The two main command tools for isomiRs mapping are SeqBuster and sRNAbench (Guillermo et al. 2014). isomiRs. package is designed to analyze the output of SeqBuster tool or any other tool after converting to the desire format.

Citing isomiRs

If you use the package, please cite this paper (Pantano L 2010).

Input format

The input should be the output of SeqBuster-miraligner tool (*.mirna files). It is compatible with mirTOP tool as well, which parses BAM files with alignments against miRNA precursors.

For each sample the file should have the following format:

seq                     name           freq mir           start end  mism  add  t5  t3
TGTAAACATCCTACACTCAGCT  seq_100014_x23  23  hsa-miR-30b-5p  17  40   0       0  0   GT
TGTAAACATCCCTGACTGGAA   seq_100019_x4   4   hsa-miR-30d-5p  6   26   13TC    0  0   g
TGTAAACATCCCTGACTGGAA   seq_100019_x4   4   hsa-miR-30e-5p  17  37   12CT    0  0   g
CAAATTCGTATCTAGGGGATT   seq_100049_x1   1   hsa-miR-10a-3p  63  81   0       TT 0   ata
TGACCTAGGAATTGACAGCCAGT seq_100060_x1   1   hsa-miR-192-5p  25  47   8GT     0  c   agt

This is the standard output of SeqBuster-miraligner tool, but can be converted from any other tool having the mapping information on the precursors. Read more on miraligner manual.

IsomirDataSeq class

This object will store all raw data from the input files and some processed information used for visualization and statistical analysis. It is a subclass of SummarizedExperiment with colData and counts methods. Beside that, the object contains raw and normalized counts from miraligner allowing to update the summarization of miRNA expression.

Access data

The user can access the normalized count matrix with counts(object, norm=TRUE).

You can browse for the same miRNA or isomiRs in all samples with isoSelect method.

## DataFrame with 6 rows and 14 columns
##                                 cc1       cc2       cc3       cc4
##                           <numeric> <numeric> <numeric> <numeric>
## hsa-let-7a-5p                235825    171354    149541    180654
## hsa-let-7a-5p;iso_3p:T         8806      5478      5427      6249
## hsa-let-7a-5p;iso_3p:gtt       1173       884       751      1010
## hsa-let-7a-5p;iso_3p:t        50920     52403     35525     53213
## hsa-let-7a-5p;iso_3p:tt        6041      5467      3817      7491
## hsa-let-7a-5p;iso_add3p:A      9616      4742      5437      6714
##                                 cc5       cc6       cc7       ct1
##                           <numeric> <numeric> <numeric> <numeric>
## hsa-let-7a-5p                168884    107430    153061    143030
## hsa-let-7a-5p;iso_3p:T         5538      3734      5482      4825
## hsa-let-7a-5p;iso_3p:gtt        963       580       863       927
## hsa-let-7a-5p;iso_3p:t        51499     30659     45492     42878
## hsa-let-7a-5p;iso_3p:tt        6394      3984      5940      7107
## hsa-let-7a-5p;iso_add3p:A      5846      3799      5532      5214
##                                 ct2       ct3       ct4       ct5
##                           <numeric> <numeric> <numeric> <numeric>
## hsa-let-7a-5p                163569    114028    123454    133092
## hsa-let-7a-5p;iso_3p:T         6045      4626      4181      4505
## hsa-let-7a-5p;iso_3p:gtt        756       495       719       682
## hsa-let-7a-5p;iso_3p:t        35795     24993     34512     36973
## hsa-let-7a-5p;iso_3p:tt        4828      2858      5087      5652
## hsa-let-7a-5p;iso_add3p:A      7326      4790      4430      5010
##                                 ct6       ct7
##                           <numeric> <numeric>
## hsa-let-7a-5p                158909    140272
## hsa-let-7a-5p;iso_3p:T         5134      4670
## hsa-let-7a-5p;iso_3p:gtt       1048       860
## hsa-let-7a-5p;iso_3p:t        47873     39585
## hsa-let-7a-5p;iso_3p:tt        6589      5447
## hsa-let-7a-5p;iso_add3p:A      6034      5081

metadata(mirData) contains two lists: rawList is a list with same length than number of samples and stores the input files for each sample; isoList is a list with same length than number of samples and stores information for each isomiR type summarizing the different changes for the different isomiRs (trimming at 3’, trimming a 5’, addition and substitution). For instance, you can get the data stored in isoList for sample 1 and 5’ changes with this code metadata(ids)[["isoList"]][[1]]["t5sum"].

isomiRs annotation

IsomiR names follows this structure:

  • miRNA name
  • type: ref if the sequence is the same than the miRNA reference. iso if the sequence has variations. t5 tag: indicates variations at 5’ position. The naming contains two words: direction - nucleotides, where direction can be UPPER CASE NT (changes upstream of the 5’ reference position) or LOWER CASE NT (changes downstream of the 5’ reference position). 0 indicates no variation, meaning the 5’ position is the same than the reference. After direction, it follows the nucleotide/s that are added (for upstream changes) or deleted (for downstream changes). t3 tag: indicates variations at 3’ position. The naming contains two words: direction - nucleotides, where direction can be LOWER CASE NT (upstream of the 3’ reference position) or UPPER CASE NT (downstream of the 3’ reference position). 0 indicates no variation, meaning the 3’ position is the same than the reference. After direction, it follows the nucleotide/s that are added (for downstream changes) or deleted (for upstream chanes). ad tag: indicates nucleotides additions at 3’ position. The naming contains two words: direction - nucleotides, where direction is UPPER CASE NT (upstream of the 5’ reference position). 0 indicates no variation, meaning the 3’ position has no additions. After direction, it follows the nucleotide/s that are added. mm tag: indicates nucleotides substitutions along the sequences. The naming contains three words: position-nucleotideATsequence-nucleotideATreference. *seed tag: same than mm tag, but only if the change happens between nucleotide 2 and 8.

In general nucleotides in UPPER case mean insertions respect to the reference sequence, and nucleotides in LOWER case mean deletions respect to the reference sequence.

Reading input

We are going to use a small RNAseq data from human brain samples (Pantano et al. 2015) to give some basic examples of isomiRs analyses.

In this data set we will find two groups:

pc: 7 control individuals pt: 7 patients with Parkinson’s Disease in early stage.

The function IsomirDataSeqFromFiles needs a vector with the paths for each file and a data frame with the design experiment similar to the one used for a mRNA differential expression analysis. Row names of the data frame should be the names for each sample in the same order than the list of files.

Manipulation

Descriptive analysis

You can plot isomiRs expression with isoPlot. In this figure you will see how abundant is each type of isomiRs at different positions considering the total abundance and the total number of sequences. The type parameter controls what type of isomiRs to show. It can be trimming (iso5 and iso3), addition (add) or substitution (subs) changes.

Count data

isoCounts gets the count matrix that can be used for many different downstream analyses changing the way isomiRs are collapsed. The following command will merge all isomiRs into one feature: the reference miRNA.

##                    cc1    cc2    cc3    cc4    cc5    cc6    cc7    ct1
## hsa-let-7a-2-3p      5     13      4      9     11      6      7      0
## hsa-let-7a-3p      767    707    630    609    731    389    681    258
## hsa-let-7a-5p   317730 244832 203888 260931 244784 153049 220563 208511
## hsa-let-7b-3p     1037   1949    679   1385   1884    697   1499    338
## hsa-let-7b-5p    69671  64702  42347  65322  60767  34975  56875  22215
## hsa-let-7c-3p       36     16     25     40     26     23     35      3
##                    ct2    ct3    ct4    ct5    ct6    ct7
## hsa-let-7a-2-3p      4      2     12     12      8      3
## hsa-let-7a-3p      496    343    635    622    452    519
## hsa-let-7a-5p   222066 154246 175523 189733 230690 199923
## hsa-let-7b-3p      931    494   1149   1194   1431    988
## hsa-let-7b-5p    45069  28312  41214  43058  61258  46600
## hsa-let-7c-3p       30     28     26     24     22     17

The normalization uses rlog from DESeq2 package and allows quick integration to another analyses like heatmap, clustering or PCA.

Annotation

To get a detail description for each isomiR, the function isoAnnotate can return the naming, sequence and importance value for each sample and isomiR. The importance is calculated by:

\[importance = \frac{isomiR\_reads}{miRNA\_reads}\]

The columns are:

  • seq: sequence of the isomiR
  • uid: isomiR name
  • edit_mature_position: showing the position at the mature sequence where the nucleotide change happened: position:nt_ref:nt_isomiR.
  • one column for each sample with the importance value
##                       seq
## 1 AAAAACCGTAGTTACTTTTGCAT
## 2    AAAAACTGAGACTACTTTTG
## 3   AAAAACTGAGACTACTTTTGC
## 4  AAAAACTGAGACTACTTTTGCA
## 5 AAAAACTGAGACTACTTTTGCAA
## 6   AAAAACTGCAGTTACTTTTGC
##                                                        uid    cc1      cc2
## 1 hsa-miR-548bb-3p;iso_snp:8GA;iso_add:T;iso_5p:c;iso_3p:A     NA       NA
## 2                                hsa-miR-548e-3p;iso_3p:ca  9.375 10.71429
## 3                                 hsa-miR-548e-3p;iso_3p:a 34.375 10.71429
## 4                                      hsa-miR-548e-3p;ref 21.875 64.28571
## 5                                hsa-miR-548e-3p;iso_add:A 34.375       NA
## 6                                hsa-miR-548ah-3p;iso_5p:c 15.000 11.76471
##        cc3        cc4 cc5      cc6 cc7      ct1      ct2       ct3 ct4
## 1       NA 100.000000  NA       NA  NA       NA       NA        NA  NA
## 2 15.15152   6.896552  NA       NA  NA 19.04762       NA  8.333333  20
## 3 30.30303  41.379310  28 66.66667  25 19.04762 47.61905 29.166667  20
## 4 27.27273  17.241379  44 33.33333  60 38.09524 23.80952 16.666667  30
## 5 21.21212  13.793103  12       NA  15 23.80952 19.04762 25.000000  30
## 6 23.07692         NA  NA       NA  NA       NA       NA        NA  NA
##         ct5      ct6      ct7 edit_mature_position
## 1        NA       NA       NA                 9:AG
## 2  8.695652       NA       NA                   NA
## 3 30.434783 13.04348 46.15385                   NA
## 4 30.434783 34.78261 30.76923                   NA
## 5 17.391304 43.47826 23.07692                   NA
## 6        NA       NA       NA                   NA

Classification

Differential expression analysis

The isoDE uses functions from DESeq2 package. This function has parameters to create a matrix using only the reference miRNAs, all isomiRs, or some of them. This matrix and the design matrix are the inputs for DESeq2. The output will be a DESeqDataSet object, allowing to generate any plot or table explained in DESeq2 package vignette.

## log2 fold change (MLE): condition ct vs cc 
## Wald test p-value: condition ct vs cc 
## DataFrame with 6 rows and 6 columns
##                         baseMean     log2FoldChange             lfcSE
##                        <numeric>          <numeric>         <numeric>
## hsa-let-7a-2-3p 6.60005242130612 -0.391808034451504 0.609492802121228
## hsa-let-7a-3p   546.805469613238 -0.225685812620638 0.224797224087315
## hsa-let-7a-5p   220625.551423747  0.113470209115605 0.270505352954979
## hsa-let-7b-3p   1096.78693283053 -0.391274509777866 0.329460850713291
## hsa-let-7b-5p   47415.9668329051 -0.235214733416519 0.226064546587921
## hsa-let-7c-3p   23.1177591558883 -0.174438078886159 0.302732297642984
##                               stat            pvalue              padj
##                          <numeric>         <numeric>         <numeric>
## hsa-let-7a-2-3p -0.642842758910176 0.520326134785159 0.989527585749852
## hsa-let-7a-3p    -1.00395284477791 0.315401343211605 0.989527585749852
## hsa-let-7a-5p    0.419474911960393 0.674869086101299 0.989527585749852
## hsa-let-7b-3p    -1.18762065031626 0.234982898335359 0.989527585749852
## hsa-let-7b-5p    -1.04047599221862 0.298118812264401 0.989527585749852
## hsa-let-7c-3p   -0.576212317761602 0.564471680375386 0.989527585749852

You can differentiate between reference sequences and isomiRs at 5’ end with this command:

##                          row    baseMean log2FoldChange     lfcSE
## 1            hsa-let-7a-2-3p   2.4059793     -0.8425278 1.0440442
## 2 hsa-let-7a-2-3p;iso_5p:TAA   0.1285419      1.1051761 3.0845751
## 3        hsa-let-7a-2-3p;ref   4.0407844     -0.2219555 0.6581561
## 4              hsa-let-7a-3p 376.7216287     -0.1663188 0.2027009
## 5     hsa-let-7a-3p;iso_5p:A   0.6517381      1.0223121 1.7714731
## 6     hsa-let-7a-3p;iso_5p:c  84.6025648     -0.3165339 0.2538101
##         stat    pvalue      padj
## 1 -0.8069848 0.4196753 0.9865695
## 2  0.3582912 0.7201254 0.9865695
## 3 -0.3372384 0.7359372 0.9865695
## 4 -0.8205135 0.4119234 0.9865695
## 5  0.5770972 0.5638738 0.9865695
## 6 -1.2471289 0.2123502 0.9865695

Alternative, for more complicated cases or if you want to control more the differential expression analysis paramters you can use directly DESeq2 package feeding it with the output of counts(ids) and colData(ids) like this:

Supervised classification

Partial Least Squares Discriminant Analysis (PLS-DA) is a technique specifically appropriate for analysis of high dimensionality data sets and multicollineality (Pérez-Enciso and Tenenhaus 2003). PLS-DA is a supervised method (i.e. makes use of class labels) with the aim to provide a dimension reduction strategy in a situation where we want to relate a binary response variable (in our case young or old status) to a set of predictor variables. Dimensionality reduction procedure is based on orthogonal transformations of the original variables (isomiRs) into a set of linearly uncorrelated latent variables (usually termed as components) such that maximizes the separation between the different classes in the first few components (Xia and Wishart 2011). We used sum of squares captured by the model (R2) as a goodness of fit measure. We implemented this method using the DiscriMiner into isoPLSDA function. The output p-value of this function will tell about the statistical significant of the group separation using miRNA expression data. Moreover, the function isoPLSDAplot helps to visualize the results. It will plot the samples using the significant components (t1, t2, t3 …) from the PLS-DA analysis and the samples distribution along the components.

The analysis can be done again using only the most important discriminant isomiRS from the PLS-DA models based on the analysis. We used Variable Importance for the Projection (VIP) criterion to select the most important features, since takes into account the contribution of a specific predictor for both the explained variability on the response and the explained variability on the predictors.

Gene - miRNA integration

The package offers a correlation analysis of miRNA and gene expression data. Having two SummarizedExperiments objects with their expression, the target prediction for each miRNA, the function isoNetwork and isoPlotNetwork can generate a summarized figure showing the relationship between expression profile, miRNA repression and enrichment analysis:

## Dimmension of cor matrix: 20 25

As an option, org can be org.Mm.eg.db and genename can be ENSEMBL and it will run enrcihGO internally.

To create the ma_ex matrix, the user can use findTargets:

## Dimmension of cor matrix: 20 20
##                    mmu-miR-101a-3p mmu-miR-107-3p mmu-miR-142a-3p
## ENSMUSG00000004530               0              0               0
## ENSMUSG00000005397               0              0               0
## ENSMUSG00000006386               0              0               0
## ENSMUSG00000016494               0              0               0
## ENSMUSG00000019997               0              0               0
## ENSMUSG00000021822               0              0               0
##                    mmu-miR-144-3p
## ENSMUSG00000004530              0
## ENSMUSG00000005397              0
## ENSMUSG00000006386              0
## ENSMUSG00000016494              0
## ENSMUSG00000019997              0
## ENSMUSG00000021822              0

And to get the mirna_ma data.frame with the miRNA-target information, the user can use mirna2targetscan function:

##                         miRFamily Seedmatch  PCT  gene     targetscan
## 1 miR-34ac/34bc-5p/449abc/449c-5p      8mer 0.29 79719 hsa-miR-34c-5p
## 2 miR-34ac/34bc-5p/449abc/449c-5p      8mer 0.76   215 hsa-miR-34c-5p
## 3 miR-34ac/34bc-5p/449abc/449c-5p   7mer-1a 0.58  3983 hsa-miR-34c-5p
## 4 miR-34ac/34bc-5p/449abc/449c-5p      8mer 0.73    29 hsa-miR-34c-5p
## 5 miR-34ac/34bc-5p/449abc/449c-5p      8mer 0.67 64746 hsa-miR-34c-5p
## 6 miR-34ac/34bc-5p/449abc/449c-5p      8mer 0.75    40 hsa-miR-34c-5p
##              mir         ext         num     letter
## 1 hsa-miR-34c-5p hsa-miR-34c hsa-miR-34c hsa-miR-34
## 2 hsa-miR-34c-5p hsa-miR-34c hsa-miR-34c hsa-miR-34
## 3 hsa-miR-34c-5p hsa-miR-34c hsa-miR-34c hsa-miR-34
## 4 hsa-miR-34c-5p hsa-miR-34c hsa-miR-34c hsa-miR-34
## 5 hsa-miR-34c-5p hsa-miR-34c hsa-miR-34c hsa-miR-34
## 6 hsa-miR-34c-5p hsa-miR-34c hsa-miR-34c hsa-miR-34

Session info

Here is the output of sessionInfo on the system on which this document was compiled:

## R version 3.6.0 (2019-04-26)
## Platform: x86_64-pc-linux-gnu (64-bit)
## Running under: Ubuntu 18.04.2 LTS
## 
## Matrix products: default
## BLAS:   /home/biocbuild/bbs-3.9-bioc/R/lib/libRblas.so
## LAPACK: /home/biocbuild/bbs-3.9-bioc/R/lib/libRlapack.so
## 
## locale:
##  [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
##  [3] LC_TIME=en_US.UTF-8        LC_COLLATE=C              
##  [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
##  [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
##  [9] LC_ADDRESS=C               LC_TELEPHONE=C            
## [11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       
## 
## attached base packages:
## [1] parallel  stats4    stats     graphics  grDevices utils     datasets 
## [8] methods   base     
## 
## other attached packages:
##  [1] targetscan.Hs.eg.db_0.6.1   AnnotationDbi_1.46.0       
##  [3] DESeq2_1.24.0               pheatmap_1.0.12            
##  [5] isomiRs_1.12.0              SummarizedExperiment_1.14.0
##  [7] DelayedArray_0.10.0         BiocParallel_1.18.0        
##  [9] matrixStats_0.54.0          Biobase_2.44.0             
## [11] GenomicRanges_1.36.0        GenomeInfoDb_1.20.0        
## [13] IRanges_2.18.0              S4Vectors_0.22.0           
## [15] BiocGenerics_0.30.0         DiscriMiner_0.1-29         
## [17] BiocStyle_2.12.0           
## 
## loaded via a namespace (and not attached):
##   [1] assertive.base_0.0-7        colorspace_1.4-1           
##   [3] rjson_0.2.20                circlize_0.4.6             
##   [5] htmlTable_1.13.1            XVector_0.24.0             
##   [7] GlobalOptions_0.1.0         base64enc_0.1-3            
##   [9] ggdendro_0.1-20             clue_0.3-57                
##  [11] rstudioapi_0.10             assertive.sets_0.0-3       
##  [13] ggrepel_0.8.0               bit64_0.9-7                
##  [15] splines_3.6.0               logging_0.9-107            
##  [17] mnormt_1.5-5                geneplotter_1.62.0         
##  [19] knitr_1.22                  Formula_1.2-3              
##  [21] Nozzle.R1_1.1-1             broom_0.5.2                
##  [23] annotate_1.62.0             cluster_2.0.9              
##  [25] png_0.1-7                   readr_1.3.1                
##  [27] BiocManager_1.30.4          compiler_3.6.0             
##  [29] backports_1.1.4             assertthat_0.2.1           
##  [31] Matrix_1.2-17               lazyeval_0.2.2             
##  [33] limma_3.40.0                lasso2_1.2-20              
##  [35] acepack_1.4.1               htmltools_0.3.6            
##  [37] tools_3.6.0                 gtable_0.3.0               
##  [39] glue_1.3.1                  GenomeInfoDbData_1.2.1     
##  [41] reshape2_1.4.3              dplyr_0.8.0.1              
##  [43] Rcpp_1.0.1                  gdata_2.18.0               
##  [45] nlme_3.1-139                psych_1.8.12               
##  [47] xfun_0.6                    stringr_1.4.0              
##  [49] DEGreport_1.20.0            gtools_3.8.1               
##  [51] XML_3.98-1.19               edgeR_3.26.0               
##  [53] zlibbioc_1.30.0             MASS_7.3-51.4              
##  [55] scales_1.0.0                hms_0.4.2                  
##  [57] RColorBrewer_1.1-2          ComplexHeatmap_2.0.0       
##  [59] yaml_2.2.0                  memoise_1.1.0              
##  [61] gridExtra_2.3               ggplot2_3.1.1              
##  [63] rpart_4.1-15                reshape_0.8.8              
##  [65] latticeExtra_0.6-28         stringi_1.4.3              
##  [67] RSQLite_2.1.1               genefilter_1.66.0          
##  [69] checkmate_1.9.1             caTools_1.17.1.2           
##  [71] shape_1.4.4                 rlang_0.3.4                
##  [73] pkgconfig_2.0.2             bitops_1.0-6               
##  [75] evaluate_0.13               lattice_0.20-38            
##  [77] purrr_0.3.2                 labeling_0.3               
##  [79] htmlwidgets_1.3             cowplot_0.9.4              
##  [81] bit_1.1-14                  tidyselect_0.2.5           
##  [83] GGally_1.4.0                plyr_1.8.4                 
##  [85] magrittr_1.5                R6_2.4.0                   
##  [87] gplots_3.0.1.1              generics_0.0.2             
##  [89] Hmisc_4.2-0                 DBI_1.0.0                  
##  [91] pillar_1.3.1                foreign_0.8-71             
##  [93] survival_2.44-1.1           RCurl_1.95-4.12            
##  [95] nnet_7.3-12                 tibble_2.1.1               
##  [97] crayon_1.3.4                KernSmooth_2.23-15         
##  [99] rmarkdown_1.12              GetoptLong_0.1.7           
## [101] locfit_1.5-9.1              grid_3.6.0                 
## [103] data.table_1.12.2           blob_1.1.1                 
## [105] ConsensusClusterPlus_1.48.0 digest_0.6.18              
## [107] xtable_1.8-4                tidyr_0.8.3                
## [109] munsell_0.5.0

References

Guillermo, Barturen, Rueda Antonio, Hamberg Maarten, Alganza Angel, Lebron Ricardo, Kotsyfakis Michalis, Shi BuJun, KoppersLalic Danijela, and Hackenberg Michael. 2014. “sRNAbench: profiling of small RNAs and its sequence variants in single or multi-species high-throughput experiments.” Methods in Next Generation Sequencing 1 (1):2084–7173. https://doi.org/10.2478/mngs-2014-0001.

Martí, Eulàlia, Lorena Pantano, Mónica Bañez-Coronel, Franc Llorens, Elena Miñones-Moyano, Sílvia Porta, Lauro Sumoy, Isidre Ferrer, and Xavier Estivill. 2010. “A myriad of miRNA variants in control and Huntington’s disease brain regions detected by massively parallel sequencing.” Nucleic Acids Res. 38:7219–35. https://doi.org/10.1093/nar/gkq575.

Morin, R. D., M. D. O’Connor, M. Griffith, F. Kuchenbauer, A. Delaney, A.-L. Prabhu, Y. Zhao, et al. 2008. “Application of massively parallel sequencing to microRNA profiling and discovery in human embryonic stem cells.” Genome Res. 18:610–21. https://doi.org/10.1101/gr.7179508.

Pantano L, Estivil X, Marti E. 2010. “SeqBuster.” Nucleic Acids Res. 38:e34. https://doi.org/10.1093/nar/gkp1127.

Pantano, Lorena, Marc R Friedlander, Georgia Escaramis, Esther Lizano, Joan Pallares-Albanell, Isidre Ferrer, Xavier Estivill, and Eulalia Marti. 2015. “Specific small-RNA signatures in the amygdala at premotor and motor stages of Parkinson’s disease revealed by deep sequencing analysis.” Bioinformatics (Oxford, England), November. https://doi.org/10.1093/bioinformatics/btv632.

Pérez-Enciso, Miguel, and Michel Tenenhaus. 2003. “Prediction of clinical outcome with microarray data: a partial least squares discriminant analysis (PLS-DA) approach.” Human Genetics 112:581–92. https://doi.org/10.1007/s00439-003-0921-9.

Xia, Jianguo, and David S Wishart. 2011. “Web-based inference of biological patterns, functions and pathways from metabolomic data using MetaboAnalyst.” Nature Protocols 6:743–60. https://doi.org/10.1038/nprot.2011.319.