EventPointer can be installed from Bioconductor using the BiocManager package:
EventPointer R package provides users a simplified way to identify, classify and visualize alternative splicing events. The steps required by the algorithm are almost identical for both technologies. The algorithm only differs in its inital step.
Splicing Graph Creation The Splicing Graph (SG) is a directed graph used to represent the structure of a gene. EventPointer relies on SGSeq package to obtain the corresponding SGs for every gene present in the experiment. For arrays, the SG is built according to the reference transcriptome selected by the user and for RNA-Seq, it is created by predicting the features in the .bam files provided by the user.
Event Identification Once the graphs are created, EventPointer analyzes each SG in order to find the alternative splicing events. The definition of splicing events by EventPointer consists in a triplet of subgraphs (P1,P2 and PR) i.e. for a cassette exon, PR correspond to the flanking exons, P1 the junctions and exon, and P2 the junction that skips the exon. This is depicted in Figure 1.
Statistical Analysis With all the detected events, EventPointer performs a statistical analysis to obtain the statistical significance of every splicing event. Briefly, EventPointer considers there is a differential splicing event if the isoforms in the associated paths change their expression in opposite directions. Different statistical tests can be applied (see Advanced Use).
Visualization To ease the interpretation of the splicing events, EventPointer generates .gtf files that can be loaded into Integrative Genomcis Viewer (IGV). The visualization allows researchers to design primers to validated the detected events using standard PCR.
Figure 2 shows each of the main steps in a graphical layout.
This vignette is divided in two sections. In the first one, the complete analysis for junction arrays is described and the second one describes the analysis for RNA-Seq data.
To cite EventPointer:
Romero, Juan P., et al. “EventPointer: an effective identification of alternative splicing events using junction arrays.” BMC genomics 17.1 (2016): 467. doi:10.1186/s12864-016-2816-x
Romero, Juan P., et al. “Comparison of RNA-seq and microarray platforms for splice event detection using a cross-platform algorithm.” BMC genomics 19.1 (2018): 703. doi:10.1186/s12864-018-5082-2
EventPointer is prepared to work with different Affymetrix arrays, such as: HTA 2.0, Clariom-D, RTA and MTA.
To build the CDF file (to work under the aroma.affymetrix framework), EventPointer requires a GTF file with the reference transcriptome information. In case not provided, the algorithm automatically downloads the required information from different databases such as ENSEMBL or UCSC. As the probes for the HTA 2.0 array are mapped to the HG19 genome, the latests versions of the ensembl and ucsc genome, mapped to the hg19 version, will be downloaded. For the other arrays, the following genomes are used: ClariomD = GRCh38, MTA = mm10 and RTA = rn6.
The required files are:
Files 1 and 2 contain probe information for the array. These files and the corresponding CDF files can be downloaded from the following URL: EventPointer Dropbox
The format of these files is briefly explained in the following paragraphs:
For the Exon Probes, the file corresponds to a tab separated .txt file composed of 11 columns that include: Probe Id, X coordinate in the array, Y coordinate in the array, Transcript Cluster Id, Probeset Id, Probeset name, Probe sequence, chromosome, start, end and strand.
The Junction probes file is also a tab separated .txt composed of 10 columns: Probe Id, X coordinate in the array, Y coordinate in the array, Transcript Cluster Id, Probeset Id, Probeset name, Probe sequence, chromosome and probe alignments.
For the GTF the standard format is used. (For more information see GTF)
This vignette uses the probes and annotation file for the DONSON gene in order to run the examples in a short amount of time. To generate the corresponding CDF file for the whole genome, the files from the Dropbox link must be used.
Note: It is advisable to work with reference GTF files, as the probes are annotated to them. However, if other database is used, the algorithm will only include probes that are mapped to such database.
This step can be skipped if the corresponding CDF file is doownloaded from the Dropbox link. The available CDF files were generated using the GTF files for each of the arrays, if users want to generate a CDF for other databases (Ensembl or UCSC), this step should be used.
The function CDFfromGTF generates the CDF file used afterwards in the aroma.affymetrix pre-processing pipeline. Internally, it calls flat2cdf function written by Elizabeth Purdom. More information about it can be seen in the following webpage: Create CDF from scratch
The required input for the function is described below:
This function takes a couple of hours to complete (depending on the computer), and creates the following files:
The following code chunks show examples on how to run the function using part of the Affymetrix GTF and the example data included in the package. This data corresponds to the Affymetrix HTA 2.0 GTF representing only the DONSON gene and the probes that are mapped to it.
Using Affymetrix GTF as reference transcriptome
# Set input variables
PathFiles<-system.file("extdata",package="EventPointer")
DONSON_GTF<-paste(PathFiles,"/DONSON.gtf",sep="")
PSRProbes<-paste(PathFiles,"/PSR_Probes.txt",sep="")
JunctionProbes<-paste(PathFiles,"/Junction_Probes.txt",sep="")
Directory<-tempdir()
array<-"HTA-2_0"
# Run the function
CDFfromGTF(input="AffyGTF",inputFile=DONSON_GTF,
PSR=PSRProbes,Junc=JunctionProbes,
PathCDF=Directory,microarray=array)
Note: Both the .flat and .CDF file take large amounts of space in the hard drive, it is recommended that the directory has at least 1.5 GB of free space.
Figure 3 shows a screen shot with the output of the CDFfromGTF function
Once the file is created, the name of the cdf file can be changed. Internally, the algorithm gives the name as HTA-2_0, but the actual name of the file can be different. In the rest of the vignette, we have renamed our CDF file as EP_HTA-2_0.
Once the CDF file has been created, it can be used for the analysis of different experiments.
For microarray data, a pre-processing pipeline must be applied to the .cel files of the experiment. Usually this pre-processing is done using the aroma.affymetrix R package. This procedure normalizes and summarizes the expression of the different probesets into single values.
The aroma.affymetrix R package provides users different functions to work with affymetrix arrays. The functions are used to extract all the information contained in the .cel files and to do all the required pre-processing steps such as background correction, normalization and summarization. The package requires a certain folder structure in order to work correctly. For more information about aroma.affymetrix visit the webpage:aroma project
The following code chunk displays the pipeline used to get the results required by EventPointer after the pre-processing using aroma.affymetrix. The code is not intended to be a runable example, but just to show users the settings and functions that can be used. In order for users to have a runable example, the corrrespoding folder structure and files are required.
# Simple example of Aroma.Affymetrix Preprocessing Pipeline
verbose <- Arguments$getVerbose(-8);
timestampOn(verbose);
projectName <- "Experiment"
cdfGFile <- "EP_HTA-2_0,r"
cdfG <- AffymetrixCdfFile$byChipType(cdfGFile)
cs <- AffymetrixCelSet$byName(projectName, cdf=cdfG)
bc <- NormExpBackgroundCorrection(cs, method="mle", tag=c("*","r11"));
csBC <- process(bc,verbose=verbose,ram=20);
qn <- QuantileNormalization(csBC, typesToUpdate="pm");
csN <- process(qn,verbose=verbose,ram=20);
plmEx <- ExonRmaPlm(csN, mergeGroups=FALSE)
fit(plmEx, verbose=verbose)
cesEx <- getChipEffectSet(plmEx)
ExFit <- extractDataFrame(cesEx, addNames = TRUE)
EventPointer is the main function of the algorithm
The function requires the following parameters:
If the Filter
variable is TRUE
, the
following is performed:
The summarized expression value of all the reference paths is
obtained and the threshold is set depending on the Qn
value
used.
An event is considered if at least one sample in all paths is expressed above the threshold.
The rest of the events are not shown unless the Filter
variable is set to FALSE
data(ArraysData)
Dmatrix<-matrix(c(1,1,1,1,0,0,1,1),nrow=4,ncol=2,byrow=FALSE)
Cmatrix<-t(t(c(0,1)))
EventsFound<-paste(system.file("extdata",package="EventPointer"),"/EventsFound.txt",sep="")
Events<-EventPointer(Design=Dmatrix,
Contrast=Cmatrix,
ExFit=ArraysData,
Eventstxt=EventsFound,
Filter=FALSE,
Qn=0.25,
Statistic="LogFC",
PSI=TRUE)
## 07:18:55 AM Running EventPointer:
## ** Statistical Analysis: Logarithm of the fold change of both isoforms
## ** Delta PSI will be calculated
## ** No expression filter
## ----------------------------------------------------------------
## ** Calculating PSI...Done
## ** Running Statistical Analysis...Done
##
## 07:18:55 AM Analysis Completed
Table 1 displays the output of EventPointer function
Gene name | Event Type | Genomic Position | Splicing Z Value | Splicing Pvalue | Delta PSI | |
---|---|---|---|---|---|---|
TC21001058.hg_8 | TC21001058.hg | Alternative 3’ Splice Site | 21:34957032-34958284 | 6.86631 | 0.0000 | 0.00000 |
TC21001058.hg_6 | TC21001058.hg | Complex Event | 21:34950750-34953608 | 6.33338 | 0.0000 | -0.09861 |
TC21001058.hg_9 | TC21001058.hg | Alternative Last Exon | 21:34951868-34956896 | 6.08929 | 0.0000 | -0.44545 |
TC21001058.hg_10 | TC21001058.hg | Complex Event | 21:34955972-34958284 | -5.03597 | 0.0000 | 0.04857 |
TC21001058.hg_4 | TC21001058.hg | Complex Event | 21:34955972-34958284 | 1.43180 | 0.1522 | 0.00000 |
The columns of the data.frame
are:
EventPointer creates two different GTF files to visualize the alternative splicing events. Figure 4 displays the cassette exon for the COPS7A gene (4th ranked event in Table 1). In the IGV visualization, the reference path is shown in gray color, the path 1 in red and path 2 in green. Below the transcripts, the different probes that are measuring each of the paths are represented in the same colors.
To create the GTF files, the algorithm uses the EventPointer_IGV functions with the following parameters:
The inital process of the function is slow, as the splicing graphs must be created every time the function is executed. A progress bar is displayed to the user to inform about the progress of the function.
Once the process is completed two GTF files are generated in the specified directory:
# Set Input Variables
DONSON_GTF<-paste(PathFiles,"/DONSON.gtf",sep="")
PSRProbes<-paste(PathFiles,"/PSR_Probes.txt",sep="")
JunctionProbes<-paste(PathFiles,"/Junction_Probes.txt",sep="")
Directory<-tempdir()
EventsFound<-paste(system.file("extdata",package="EventPointer"),"/EventsFound.txt",sep="")
array<-"HTA-2_0"
# Generate Visualization files
EventPointer_IGV(Events[1,,drop=FALSE],"AffyGTF",DONSON_GTF,PSRProbes,JunctionProbes,Directory,EventsFound,array)
EventPointer has two pipelines for RNA-Seq analysis: Analysis from BAM files and analysis from a transcriptome reference. These two pipelines are described in section 4.1 and 4.2.
EventPointer is also able to identify alternative splicing events from RNA-Seq data. The only required files are the corresponding .BAM files from the experiment.
Each time an experiment is analyzed with EventPointer, the complete process needs to be executed which may cause long waiting times to get the results. To avoid this issue, we have divided every step of the algorithm in different functions so as the user can reuse previous result and thus reduce computational time.
For the examples in this part of the vignette, we will use .bam files depicted in the SGSeq vignette that correspond to paired-end RNA-seq data from four tumor and four normal colorectal samples, which are part of a data set published in Seshagiri et al. 2012. As stated in SGSeq vignette the bam files only include reads mapping to a single gene of interest (FBXO31).
Note: For sequencing data, there are two requirements for the BAM files in order to get EventPointer working correctly:
The BAM files should include the XS-flag, the flag can be included in the files when running the alignment. Most of the available software has parameters to incude the flag. For example, in the case of STAR the flag –outSAMattributes XS must be included when mapping
All files to be analyzed should have the corresponding index files (.bai) in the same directory as the BAM files. Create the index before running EventPointer.
The first step to analyze alternative splicing events in RNA-Seq data, is the creation of the splicing graphs. This step relies entirely on SGSeq R package.
The function PrepareBam_EP transforms all the information found in the bam files into splicing graph features and counts
# Obtain the samples and directory for .bam files
# the object si contains example sample information from the SGSeq R package
# use ?si to see the corresponding documentation
BamInfo<-si
Samples<-BamInfo[,2]
PathToSamples <- system.file("extdata/bams", package = "SGSeq")
PathToGTF<-paste(system.file("extdata",package="EventPointer"),"/FBXO31.gtf",sep="")
# Run PrepareBam function
SG_RNASeq<-PrepareBam_EP(Samples=Samples,
SamplePath=PathToSamples,
Ref_Transc="GTF",
fileTransc=PathToGTF,
cores=1)
The output of PrepareBam_EP function is a SGFeaturesCounts object, for more information check SGSeq Vignette. Briefly the SGFeaturesCounts contains a GRanges object with all the required elements to create the different splicing graphs found in the given samples. It also contains the number of counts associated with each element of the splicing graph.
After running PrepareBam_EP, we have all the elements to analyze each of the splicing graphs. The next step is to identify and classify all the events, that are present in the BAM files.
For this purpose, the function EventDetection is used.
# Run EventDetection function
data(SG_RNASeq)
TxtPath<-tempdir()
AllEvents_RNASeq<-EventDetection(SG_RNASeq,cores=1,Path=TxtPath)
##
## Obtaining Events | | | 0% | |============ | 17%
## 'as(<dgCMatrix>, "dgTMatrix")' is deprecated.
## Use 'as(., "TsparseMatrix")' instead.
## See help("Deprecated") and help("Matrix-deprecated").
## | |======================= | 33% | |=================================== | 50% | |=============================================== | 67% | |========================================================== | 83% | |======================================================================| 100%
This function retireves a list with all the events found for all the genes present in the experiment. It also generates a file called EventsFound_RNASeq.txt with the information for every detected event.
The list is organized in the following way:
The list will have as many i values as genes and j values as many events detected for the ith gene. In other words, the command above will display the jth event detected for the ith gene.
The statistical analysis of the alternative splicing events is done in exactly the same way as for junction arrays. With the Design and Contrast matrices, the algorithm gives the statistical significance and ΔΨ.
The function for the statistical analysis using EventPointer method.
The algorithm displays the different parameters that are selected to perform the analysis.
Following our example, the code chunk to obtain the results:
Dmatrix<-matrix(c(1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,1),ncol=2,byrow=FALSE)
Cmatrix<-t(t(c(0,1)))
Events <- EventPointer_RNASeq(AllEvents_RNASeq,Dmatrix,Cmatrix,Statistic="LogFC",PSI=TRUE)
## 07:18:56 AM Running EventPointer:
## ** Statistical Analysis: Logarithm of the fold change of both isoforms
## ** Delta PSI will be calculated
## ----------------------------------------------------------------
## ** Calculating PSI...Done
## Analysis Finished
## Done
##
## 07:18:57 AM Analysis Completed
Table 2 displays the output of EventPointer function
Gene | Event_Type | Position | Pvalue | Zvalue | Delta PSI | |
---|---|---|---|---|---|---|
3_17 | TC16001330.hg | Alternative First Exon | 16:87423454-87445125 | 0.03439 | 2.11544 | -1.00000 |
3_6 | TC16001330.hg | Complex Event | 16:87377272-87380780 | 0.09905 | 1.64946 | -0.02136 |
3_2 | TC16001330.hg | Alternative 5’ Splice Site | 16:87369063-87369767 | 0.10470 | 1.62248 | -0.01995 |
3_7 | TC16001330.hg | Complex Event | 16:87369867-87377343 | 0.11808 | -1.56287 | 0.00626 |
3_14 | TC16001330.hg | Cassette Exon | 16:87380856-87393901 | 0.17744 | 1.34868 | -0.23687 |
EventPointer creates one GTF file that can be loaded into IGV to visualize the alternative splicing events. Figure 6 displays an example result showed in IGV (5th ranked event in Table 2). Also, in the figure a reference transcriptome is displayed (blue track), and it can be seen that the displayed event corresponds to a novel event discovered with sequencing data and that it will not be detected using junction arrays.
To create the GTF files, the algorithm uses the following code.
A progress bar is displayed to the user to inform about the progress of the function.
Once the process is completed the GTF file is generated in the specified directory:
# IGV Visualization
EventsTxt<-paste(system.file("extdata",package="EventPointer"),"/EventsFound_RNASeq.txt",sep="")
PathGTF<-tempdir()
EventPointer_RNASeq_IGV(Events,SG_RNASeq,EventsTxt,PathGTF)
##
## Generating GTF Files... | | | 0% | |==== | 6% | |======== | 12% | |============ | 18% | |================ | 24% | |===================== | 29% | |========================= | 35% | |============================= | 41% | |================================= | 47% | |===================================== | 53% | |========================================= | 59% | |============================================= | 65% | |================================================= | 71% | |====================================================== | 76% | |========================================================== | 82% | |============================================================== | 88% | |================================================================== | 94% | |======================================================================| 100%
In this pipeline alternative splicng events are detected from a reference transcriptome without finding novel events as do the method above explained in section 4.1. The events quantification relies on isoform expression estimate from pseudo-alignment process such as Kallisto or Salmon. Besides, we provide a function to leverage the bootstrap data from kallisto or salmon. Preveous statistical analysis have also been adapted to this data. Further, Primers design for PCR validation and protein domain enrichment analysis can be performed. Figure 7 shows an overview of this branch of EventPointer.
We use EventDetection_transcriptome to identify and classify alternative splicing events of a given reference transcriptome. The required parameters are:
Following code shows how to apply EventDetection_transcriptome function using the Gencode 24 transcriptome (GRCH 38) as reference annotation. In this example we do not use the full reference but only two genes (ENSG00000185252.17 and ENSG00000254709.7).
# Set input variables
PathFiles<-system.file("extdata",package="EventPointer")
inputFile <- paste(PathFiles,"/gencode.v24.ann_2genes.gtf",sep="")
Transcriptome <- "Gencode24_2genes"
Pathtxt <- tempdir()
# Run the function
inputFile <- "/home/external_HDD/HDD_1/EventPointer/inst/extdata/gencode.v24.ann_2genes_prueba.gtf"
EventXtrans <- EventDetection_transcriptome(inputFile = inputFile,
Transcriptome = Transcriptome,
Pathtxt=Pathtxt,
cores=1)
This function takes a couple of hours to complete (depending on the
computer), and creates a file called
EventsFound_
This function also returns a list containing five elements: three sparce matrices that relate which isoforms build up the paths (path1,path2 and pathRef) of each event. The fourth element contains the name of the reference annotation: only appear the name of the transcript. The final element is SG_List: a list with the information of the graph of each gene, this variable is necesary for Primers design step.
Given (I) the output of EventDetection_transcriptome, which contains events information and (II) the result of pseudo-alignment, EventPointer is able to get the expression of the path of each event and also to compute the PSI value.
To first step is to load the data from pseudo-alignment. EventPointer works with both Kallisto and Salmon methods.
In this example we have applied kallisto to the samples ERR315326, ERR315400, ERR315407 and ERR315494 using the same reference used before. These samples have been download from EMBL-EBI dataset.
EventPointer offers the option to take advantage of bootstraps that return both Kallisto and Salmon. In case we want to leverage the Bootstrap data we have to use the function getbootstrapdata:
PathSamples<-system.file("extdata",package="EventPointer")
PathSamples <- paste0(PathSamples,"/output")
PathSamples <- dir(PathSamples,full.names = TRUE)
data_exp <- getbootstrapdata(PathSamples = PathSamples,type = "kallisto")
## 1 2 3 4
getbootstrapdata returns a list containing the quantification data with the bootstrap information. The list is of length equal to the number of samples. Each element of the list storage a matrix where the number of rows is equal to the number of transcripts and the number of columns is equal to the number of bootstrats + 1. (the first column corresponds to the maximum likelihood expression and the rest to the bootstrap data).
In case you don’t want to use the bootstrap returned by the pseudo-alignmnet step (or is no available), you should load a matrix with the expression of the transcripts. The following code chunk shown an example of how to do this:
# this code chunk is an example of how to load the data from kallisto output.
# the expression of the isoforms are counts
PathFiles <- system.file("extdata",package="EventPointer")
filesnames <- dir(paste0(PathFiles,"/output"))
PathFiles <- dir(paste0(PathFiles,"/output"),full.names = TRUE)
dirtoload <- paste0(PathFiles,"/","abundance.tsv")
RNASeq <- read.delim(dirtoload[1],sep = "\t", colClasses = c(NA,"NULL","NULL",NA,"NULL"))
for (n in 2:length(dirtoload)){
RNASeq[,n+1] <- read.delim(dirtoload[n],sep = '\t', colClasses = c('NULL','NULL','NULL',NA,'NULL'))
}
rownames(RNASeq)<-RNASeq[,1]
RNASeq<-RNASeq[,-1]
colnames(RNASeq) <- filesnames
Once we have the expression of the isoforms loaded, the next step is to compute the PSI value. For both cases (with or withuot bootstrap data from psudoaligment) EventPointer provides the function GetPSI_FromTranRef for this purpose.
The function GetPSI_FromTranRef returns the values of Ψ and the expression of the paths of each events. This functions requires the following inputs:
This function also requires that the same reference transcriptome have been used in both the pseudo-alignment and event detections steps. Besides, in the variable Samples the type of annotation used must be equal to the one used in the variable EventXtrans.
Get psi if no bootstrap from pseudo-alignmnet is used
First step is to verify if same annotation is used in RNASeq and EventXtrans:
rownames(RNASeq)[1:5]
## [1] "ENST00000400451.6|ENSG00000185252.17|OTTHUMG00000150687.4|OTTHUMT00000319648.2|ZNF74-005|ZNF74|3159|protein_coding|"
## [2] "ENST00000611540.4|ENSG00000185252.17|OTTHUMG00000150687.4|-|ZNF74-202|ZNF74|3714|protein_coding|"
## [3] "ENST00000403682.7|ENSG00000185252.17|OTTHUMG00000150687.4|OTTHUMT00000319645.2|ZNF74-002|ZNF74|2789|protein_coding|"
## [4] "ENST00000357502.5|ENSG00000185252.17|OTTHUMG00000150687.4|OTTHUMT00000319622.3|ZNF74-001|ZNF74|2788|protein_coding|"
## [5] "ENST00000493734.5|ENSG00000185252.17|OTTHUMG00000150687.4|OTTHUMT00000319646.2|ZNF74-003|ZNF74|3758|retained_intron|"
EventXtrans$transcritnames[1:5]
## [1] "ENST00000611540.4" "ENST00000400451.6" "ENST00000403682.7"
## [4] "ENST00000357502.5" "ENST00000493734.5"
We need to change the rownames of RNASeq variable before applying GetPSI_FromTranRef function:
#change rownames of RNASeq variable
rownames(RNASeq) <- sapply(strsplit(rownames(RNASeq),"\\|"),function(X) return(X[1]))
RNASeq<-as.matrix(RNASeq) #must be a matrix variable
PSIss_nb <- GetPSI_FromTranRef(PathsxTranscript = EventXtrans,
Samples = RNASeq,
Bootstrap = FALSE,
Filter = FALSE)
PSI <- PSIss_nb$PSI
Expression <- PSIss_nb$ExpEvs
The output of the function is a list containing two elements: a matrix with the Ψ values, and a list containing as many matrices as number of events. In each matrix is stored the expression of the different paths of an event along the samples.
If bootstrap data from pseudo-alignment is required
As done above, we need to check if same annotation is used in data_exp and EventXtrans. The difference from above is that data_exp is a list and not a matrix as RNASeq. Therefore, we are going to used the rownames of the first list of data_exp to check if same annotations is used:
rownames(data_exp[[1]])[1:5]
## [1] "ENST00000400451.6|ENSG00000185252.17|OTTHUMG00000150687.4|OTTHUMT00000319648.2|ZNF74-005|ZNF74|3159|protein_coding|"
## [2] "ENST00000611540.4|ENSG00000185252.17|OTTHUMG00000150687.4|-|ZNF74-202|ZNF74|3714|protein_coding|"
## [3] "ENST00000403682.7|ENSG00000185252.17|OTTHUMG00000150687.4|OTTHUMT00000319645.2|ZNF74-002|ZNF74|2789|protein_coding|"
## [4] "ENST00000357502.5|ENSG00000185252.17|OTTHUMG00000150687.4|OTTHUMT00000319622.3|ZNF74-001|ZNF74|2788|protein_coding|"
## [5] "ENST00000493734.5|ENSG00000185252.17|OTTHUMG00000150687.4|OTTHUMT00000319646.2|ZNF74-003|ZNF74|3758|retained_intron|"
EventXtrans$transcritnames[1:5]
## [1] "ENST00000611540.4" "ENST00000400451.6" "ENST00000403682.7"
## [4] "ENST00000357502.5" "ENST00000493734.5"
We need to change the rownames of the first element of the list data_exp before applying GetPSI_FromTranRef function:
#change rownames of the first element of teh list data_exp
rownames(data_exp[[1]]) <- sapply(strsplit(rownames(data_exp[[1]]),"\\|"),function(X) return(X[1]))
PSIss <- GetPSI_FromTranRef(PathsxTranscript = EventXtrans,
Samples = data_exp,
Bootstrap = TRUE,
Filter = FALSE)
PSI <- PSIss$PSI
Expression <- PSIss$ExpEvs
The output of the function is a list containing two elements: an array with the Ψ values with dimension = c(number of events, number of bootstrap+1,number of samples), and a list containing as many matrices as number of events. In each matrix is stored the expression of the different paths of an event along the samples.
The statistical analysis of the alternative splicing events is done in exactly the same way as for junction arrays.
The function EventPointer_RNASeq_TranRef perform this statistical analysis and requires the following parameters:
# Design and contrast matrix:
Design <- matrix(c(1,1,1,1,0,0,1,1),nrow=4)
Contrast <- matrix(c(0,1),nrow=2)
# Statistical analysis:
Fit <- EventPointer_RNASeq_TranRef(Count_Matrix = Expression,Statistic = "LogFC",Design = Design, Contrast = Contrast)
## Done
## Analysis Finished
## Done
##
## 07:18:59 AM Analysis Completed
The output of this function is a data.frame with the information of the names of the event, its p.values and the corresponding z.value. If there is more than one contrast, the function returns as many data.frames as number of contrast and all these data.frame are sotred in an unique list.
Event_ID | Pvalue | Zvalue |
---|---|---|
ENSG00000254709.7_3 | 0.99940 | 0.00075 |
ENSG00000254709.7_1 | 0.95255 | 0.05951 |
ENSG00000185252.17_22 | 0.97950 | 0.02570 |
ENSG00000185252.17_23 | 0.97950 | 0.02570 |
ENSG00000185252.17_6 | 0.96829 | 0.03976 |
ENSG00000185252.17_21 | 0.72150 | 0.35645 |
ENSG00000185252.17_7 | 0.72290 | 0.35458 |
ENSG00000185252.17_8 | 0.72290 | 0.35458 |
ENSG00000185252.17_9 | 0.72290 | 0.35458 |
ENSG00000185252.17_25 | 0.72290 | 0.35458 |
ENSG00000185252.17_5 | 0.63642 | 0.47271 |
ENSG00000185252.17_24 | 0.48916 | -0.69165 |
We have implemented a bootstrap test to evaluate the difference in Ψ among the conditions under study. This test can be done both for PSI values that contain information from the pseudo-alignment bootstrap and for cases in which we do not have this information.
The function EventPointer_Bootstraps proceed to calculate the increase in PSI and its p.values by performing bootstrap statistic test. This function can be parallelized. Users may set the number of Cores (by default 1) and the ram available (by default 1 Gb).
Dmatrix <- cbind(1,rep(c(0,1),each=2))
Cmatrix <- matrix(c(0,1),nrow=2)
Fit <- EventPointer_Bootstraps(PSI = PSI,
Design = Dmatrix,
Contrast = Cmatrix,
cores = 1,
ram = 1,
nBootstraps = 10,
UsePseudoAligBootstrap = TRUE)
##
## The Contrast and Design Matrices have been correctly designed.
##
## Number of chunks: 1
##
## Performing resampling of chunk number 1 , this may take a while...
##
## ****Analysis 100 % Completed****
##
## Preparing output...
## finish chunk 1
##
## The program has succesfully ended.
You can extract a table of the top-ranked events from the results with the function ResulTable
ResulTable(EP_Result = Fit,coef = 1,number = 5)
## deltaPSI pvalue lfdr qvalues
## ENSG00000185252.17_5 -0.0001254954 0.009787789 0.4267450 0.1174535
## ENSG00000185252.17_22 0.0688425350 0.098111380 0.9357568 0.5886683
## ENSG00000254709.7_3 0.0453065788 0.312944752 1.0000000 0.9665380
## ENSG00000185252.17_23 0.0688425350 0.322179318 1.0000000 0.9665380
## ENSG00000185252.17_21 -0.0000418445 0.737901068 1.0000000 1.0000000
EventPointer creates one GTF file that can be loaded into IGV to visualize the alternative splicing events. Figure XX displays an example result showed in IGV (5th ranked event in Table 2). Also, in the figure a reference transcriptome is displayed (blue track).
To create the GTF files, the algorithm uses the EventPointer_RNASeq_TranRef_IGV functions with the following parameters:
As EventDetection_transcriptome function returns the splicing graph information, this function does not need to create the splicing graph. (EventPointer_IGV is equivalent function for array platform).
SG_List <- EventXtrans$SG_List
PathEventsTxt<-system.file('extdata',package='EventPointer')
PathEventsTxt <- paste0(PathEventsTxt,"/EventsFound_Gencode24_2genes.txt")
PathGTF <- tempdir()
EventPointer_RNASeq_TranRef_IGV(SG_List = SG_List,pathtoeventstable = PathEventsTxt,PathGTF = PathGTF)
##
## Creating .GTF ... | | | 0% | |====== | 8% | |============ | 17% | |================== | 25% | |======================= | 33% | |============================= | 42% | |=================================== | 50% | |========================================= | 58% | |=============================================== | 67% | |==================================================== | 75% | |========================================================== | 83% | |================================================================ | 92% | |======================================================================| 100%
##
## .GTF created
The main idea of protein domain analysis is to analyze whether the presence of a protein domain increases or decreases in the condition under study. To do this, we have implemented the function Protein_Domain_Enrichment. This function requires the following parameters:
As mentioned, it is first necessary to know the structure of protein domains within the transcriptome or in other words: to relate the isoforms to protein domains. This can be done using ‘bioMart’ R package. The input needed by EP to perform this analysis is a matrix that relates transcripts to protein domains (TxD matrix). Therefore, you can work either with Pfam, Interpro or superfamily annotation.
The following conde chunck shows an example of how to get this TxD matrix:
library(biomaRt)
mart <- useMart(biomart = "ENSEMBL_MART_ENSEMBL", host = "mar2016.archive.ensembl.org")
mart<-useDataset("hsapiens_gene_ensembl",mart)
mistranscritos <- EventXtrans$transcritnames
head(mistranscritos)
## we need to remove the ".x":
mistranscritos <- gsub("\\..*","",mistranscritos)
Dominios <- getBM(attributes = c("ensembl_transcript_id","interpro","interpro_description"),
filters = "ensembl_transcript_id",
values = mistranscritos,
mart=mart)
#we build the isoform x protein domain matrix
library(Matrix)
ii <- match(Dominios$ensembl_transcript_id,mistranscritos)
misDominios <- unique(Dominios[,2])
jj <- match(Dominios[,2],misDominios)
TxD <- sparseMatrix(i=ii,j = jj,dims = c(length(mistranscritos),length(misDominios)),x = 1)
rownames(TxD) <- mistranscritos
colnames(TxD) <- misDominios
The above code chunk build the required Transcript X Domain (TxD) sparse matrix where TxDij = 1 means that Domain j match to transcript i.
The next step is to perform the enrichment analysis with the function Protein_Domain_Enrichment Internally, given the TxD matrix Protein_Domain_Enrichment relates protein domains to events and performs the enrichment analysis:
NOTE: Check that EventXtrans$transcritnames annotation type match to the rownames of the TxD matrix.
data("TxD")
#check same annotation for transcripts:
EventXtrans$transcritnames[1]
# [1] "ENST00000611540.4"
rownames(TxD)[1]
# [1] "ENST00000611540"
## as is not the same, we change EventXtrans$transcritnames annotation
transcriptnames <- EventXtrans$transcritnames
transcriptnames <- gsub("\\..*","",transcriptnames)
EventXtrans$transcritnames <- transcriptnames
Result_PDEA <- Protein_Domain_Enrichment(PathsxTranscript = EventXtrans,
TxD = TxD,
Diff_PSI = Fit$deltaPSI)
The function returns a list containing the results of the protein domain enrichment analysis. This list contains 3 matrices in which the rows indicate the protein domains and the columns the number of contrasts. The 3 matrices are the following:
EventPointer can also be used to design primers for PCR validation.
The aim of FindPrimers function is the design of PCR primers
and TaqMan probes for detection and quantification of alternative
splicing. Depending on the assay we want to carry out the the algorithm
will design the primers for a conventional PCR or the primers and TaqMan
probes if we are performing a TaqMan assay. In the case of a
conventional PCR we will be able to detect the alternative splicing
event. Besides, the algorithm gives as an output the length of the PCR
bands that are going to appear. In the case of a TaqMan assay, we will
not only detect but also quantify alternative splicing.
The
Primers Design step has been developed with Primer3 software
and works with versions >= 2.3.6. In order to use this option you
need to install this sofware. You can download from
sourceforge
(for Windows, Mac OSX or Unix/Linux) or from
github
(for Mac OSX or Unix/Linux).
To work with Primer Design option
you also need to add Primer3 to your environment PATH. For
Windows you can add environment variables in:
Control Panel
-> System and Security -> System -> Advanced system settings
-> Environment Variables…
For Unix/Linux or Max you need to
add the path to Primer3 to the variable PATH using terminal.
Then, as is explained below, one of the input variables for the
main function is Primer3Path which is a string variable
with the complete path where primer3_core.exe is placed. As we have
added this path to the environment variable we can set down this
variable with the following command as is shown later in the
example:
The main function of this step is called Find_Primers
and requires the following main parameters:
Other required parameters that have a default value but can be modified by user:
The following example shows how to design primers and TaqMan probes for a specific alternative splicing event:
data("EventXtrans")
#From the output of EventsGTFfromTranscriptomeGTF we take the splicing graph information
SG_list <- EventXtrans$SG_List
#SG_list contains the information of the splicing graphs for each gene
#Let's supone we want to design primers for the event 1 of the gene ENSG00000254709.7
#We take the splicing graph information of the required gene
SG <- SG_list$ENSG00000254709.7
#We point the event number
EventNum <- 1
#Define rest of variables:
Primer3Path <- Sys.which("primer3_core")
Dir <- "C:\\PROGRA~2\\primer3\\"
MyPrimers_taqman <- FindPrimers(SG = SG,
EventNum = EventNum,
Primer3Path = Primer3Path,
Dir = Dir,
mygenomesequence = BSgenome.Hsapiens.UCSC.hg38::Hsapiens,
taqman = 1,
nProbes=1,
nPrimerstwo=4,
ncommonForward=4,
ncommonReverse=4,
nExons=10,
nPrimers =5,
maxLength = 1200)
FindPrimers return a data.frame. Either for conventional PCR and taqman option the data.frame has the following columns:
For1Seq | For2Seq | Rev1Seq | Rev2Seq | For1Exon | For2Exon | Rev1Exon | Rev2Exon | FINALvalue | DistPath1 | DistPath2 | DistNoPath |
---|---|---|---|---|---|---|---|---|---|---|---|
CTGAAGGCCAATGAGACCCA | NA | CCCAGTTCCGAAGACATAACAC | NA | 2.a | NA | 4.a | NA | 2600.8 | 319 | 316 | |
TAGGGACAGGGACCAGAGC | NA | TGAGGCTCAGACCAAAACCC | GTTTGGAGGGTTTGGTGGTC | 2.a | NA | 4.a | 5.a | 4316.8 | 435 - 662 | 432 - 659 | 540 |
GACCAGAGCCAGTCCAGG | NA | CCCAGTTCCGAAGACATAACAC | GTTTGGAGGGTTTGGTGGTC | 2.a | NA | 4.a | 5.a | 4334.8 | 453 - 652 | 450 - 649 | 530 |
AGAGCCAGTCCAGGGAGAG | NA | CTTGGTCCCAGTTCCGAAGA | ATTCTGTAGGGGCCACTGTC | 2.a | NA | 4.a | 5.a | 4336.8 | 455 - 780 | 452 - 777 | 658 |
AGAGCCAGTCCAGGGAGAG | NA | TGACCTTGGTCCCAGTTCC | GTTTGGAGGGTTTGGTGGTC | 2.a | NA | 4.a | 5.a | 4340.8 | 459 - 648 | 456 - 645 | 526 |
For the tacman option, the data.frame contains three additional columns:
For1Seq | For2Seq | Rev1Seq | Rev2Seq | For1Exon | For2Exon | Rev1Exon | Rev2Exon | FINALvalue | DistPath1 | DistPath2 | DistNoPath | SeqProbeRef | SeqProbeP1 | SeqProbeP2 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
CTGAAGGCCAATGAGACCCA | NA | CCCAGTTCCGAAGACATAACAC | NA | 2.a | NA | 4.a | NA | 1038 | 319 | 316 | TTGGTCTGAGCCTCAGTCAC | NA | NA | |
TAGGGACAGGGACCAGAGC | NA | TGAGGCTCAGACCAAAACCC | GTTTGGAGGGTTTGGTGGTC | 2.a | NA | 4.a | 5.a | 2870 | 435 - 662 | 432 - 659 | 540 | GAGAGCAGACCCCAGGTG | NA | NA |
GACCAGAGCCAGTCCAGG | NA | CCCAGTTCCGAAGACATAACAC | GTTTGGAGGGTTTGGTGGTC | 2.a | NA | 4.a | 5.a | 2906 | 453 - 652 | 450 - 649 | 530 | TTGGTCTGAGCCTCAGTCAC | NA | NA |
AGAGCCAGTCCAGGGAGAG | NA | CTTGGTCCCAGTTCCGAAGA | ATTCTGTAGGGGCCACTGTC | 2.a | NA | 4.a | 5.a | 2910 | 455 - 780 | 452 - 777 | 658 | TCTGAGCCTCAGTCACTGTG | NA | NA |
AGAGCCAGTCCAGGGAGAG | NA | TGACCTTGGTCCCAGTTCC | GTTTGGAGGGTTTGGTGGTC | 2.a | NA | 4.a | 5.a | 2918 | 459 - 648 | 456 - 645 | 526 | TCTGAGCCTCAGTCACTGTG | NA | NA |
We can visualize the result in IGV using the Find Motif tool given the output of FindPrimers function.
Forward primers are represented in blue whilst reverse primers are represented in red as long as the gene is transcribed from the forward strand. Otherwise the colors we will be swapped. TaqMan probes will always have the color of the forward primers.
Various processes (probably many of them yet to be discovered) are
involved in the regulation of alternative splicing. One of this
regulators are the RNA-binding proteins (RBPs).
we have integrated
several databases of CLIP-seq experiments with an algorithm that detects
differential splicing events to discover RBPs that are especially
enriched. Thus, EP proposes a ranking of which RBP is likely to be
driving the observed changes in the splicing.
To perform this
analysis it is necessary to execute the following steps:
A detailed explanation of how to use this pipeline is desribed in https://github.com/clobatofern/SFPointer_testPipeline.
EventPointer can also identify Multi-Path events. The multi-path events are composed of more elements than a triplet where the concentration of the reference path should be equal to the sum of the concentration of the rest of paths. This is depicted in Figure 8.
EventPointer identify Multi-Path events and estimate the percent spliced in value Ψ.
The function CDFfromGTF_Multipath generates the CDF file used afterwards in the aroma.affymetrix preprocesing pipeline. This function is equivalent to the function CDFfromGTF.
The function requires the following parameters:
The function CDFfromGTF_Multipath detects events with number of paths from 2 to variable paths. This function classifies the events with two paths as the CDFfromGTF function does and the events with more than two paths as “Multi-Path”.
This function takes a couple of hours to complete (depending on the computer), and creates the same files as the function CDFfromGTF.
The following code chunks show examples on how to run the function using part of the Affymetrix GTF and the example data included in the package. his data corresponds to the Affymetrix HTA 2.0 GTF representing only the DONSON gene and the probes that are mapped to it.
Using Affymetrix GTF as reference transcriptome
# Set input variables
PathFiles<-system.file("extdata",package="EventPointer")
DONSON_GTF<-paste(PathFiles,"/DONSON.gtf",sep="")
PSRProbes<-paste(PathFiles,"/PSR_Probes.txt",sep="")
JunctionProbes<-paste(PathFiles,"/Junction_Probes.txt",sep="")
Directory<-tempdir()
array<-"HTA-2_0"
# Run the function
CDFfromGTF_Multipath(input="AffyGTF",inputFile=DONSON_GTF,
PSR=PSRProbes,Junc=JunctionProbes,
PathCDF=Directory,microarray=array,paths=3)
##RNA-Seq (Event detection for Multi-Path)
As for two-paths events, the only required files are the corresponding .BAM files from the experiment. After the BAM Preparation step explained in section 4.2 we have all the elements needed to analyze each of the splicing graphs. To detect Multi-Path events, the function EventDetectionMultipath is used.
This function requires the following parameters:
The function EventDetectionMultipath detects events with number of paths from 2 to variable paths. This function classifies the events with two paths as the EventDetection function does and the events with more than two paths as “Multi-Path”.
# Run EventDetection function
data(SG_RNASeq)
TxtPath<-tempdir()
AllEvents_RNASeq_MP<-EventDetectionMultipath(SG_RNASeq,cores=1,Path=TxtPath,paths=3)
This function retireves a list with all the events found for all the genes present in the experiment. It also generates a file called EventsFound_RNASeq.txt with the information for every detected event.
The list is organized in the following way:
The list will have as many i values as genes and j values as many events detected for the ith gene. In other words, the command above will display the jth event detected for the ith gene.
As described above, EventPointer is able to detect splicing events
that cannot be classified as canonical splicing events. EventPointer
classifies these events as “Complex Event”. Within this category one can
observe simple events such as ‘Multiple Skipping Exons’ and events whose
structure is very complex. Thus, EP is classifying in the same category
events that have nothing to do with each other.
EventPointer
includes a function called Events_ReClassification
to
reclassify complex events. The input to this function is:
Thus, EventPointer reclassifies the complex events according to how
similar the event is to the struture canonical events. The same complex
event can have several types (see). Further, EP adds a new type of
event: “multiple skipping exon”. These events are characterized by
presenting several exons in a row as alternative exons. I.e., If there
is only one alternative exon we would be talking about a “Casstte
Exon”.
The following code shows how this function works for a subset of 5 splicing events:
#load splicing graph
data("SG_reclassify")
#load table with info of the events
PathFiles<-system.file("extdata",package="EventPointer")
inputFile <- paste(PathFiles,"/Events_found_class.txt",sep="")
EventTable <- read.delim(file=inputFile)
#this table has the information of 5 complex events.
EventTable_new <- Events_ReClassification(EventTable = EventTable,
SplicingGraph = SG_reclassify)
##
## Starting reclassification
## | | | 0% | |============== | 20% | |============================ | 40% | |========================================== | 60% | |======================================================== | 80% | |======================================================================| 100%
##
## Reclassification Finished
The following figures show the structure of these events and their corresponding gene:
Example 1
EventPointer provides three different statistical tests that can be used to determine the statistical significance to the alternative splicing events.
In Table 5, the most relevatn coefficients from the statistical and events information point of view are shown
There are a number of alternatives to detect AS using these coefficients. Either of β4 , β5 , β4 + β5 is theoretically able to detect AS events. Some of them are more sensitive than others depending on the relative concentrations of the isoforms. For example, if isoform 2 is much more highly expressed than isoform 1 in both conditions, β4 will be more sensitive than β4 + β5 since in the latter case, the numerator and denominator of the logarithms of both terms are similar, and hence their logs are close to zero.
A contrast on β5 would seem to be more sensitive than a contrast on β4 or β4 + β5 ; however, in practice, this contrast proved to be “too sensitive” and led to many false positives especially in weakly expressed isoforms. If one of the paths is not expressed in any condition, its signal will be similar in either condition (the background level) and a change in the expression of the other isoform will drive to a false positive detection. This contrast can be used only if the signals are filtered to guarantee that they are above the background.
In the PCR validation, the contrast that provided the best performance was the combination of the fold changes of both isoforms (i.e. β3 + β4 and β3+β4 + β5 in Table 4) plus the requirement that the fold-changes have opposite directions, i.e. if isoform 1 significantly increases its expression, isoform 2 must significantly decrease its expression and vice versa. Therefore, if this test requires that the detected AS events show a significant change of the expression both paths and this change must be in opposite direction.
In order to compute this contrast, we summed up the p-values (one-tailed) for both contrasts. If the null hypothesis holds, the expected null distribution is triangular from 0 to 2 with the peak at 1, and the summation of the p-values must be close to 0 or close to 2 for genes with differential AS. Using this triangular distribution, it is possible to assign an overall p-value to their sum. We preferred this combination rather than the classical Fisher method since in the latter a single good p-value yields a good summary p-value for the event. Using this approach, both p-values must be close to zero or one in order to generate a significant overall p-value.
The different options availabe in EventPointer are:
1. LogFC : Compute the contrast using β3 + β4 and β3+β4 + β5
2. Dif_LogFC : Compute the contrast using β4 and β4 + β5
3. DRS: Compute the constast using β5
Alpha is a parameter used by SGSeq R package to predict the features that are along the different bam files that are being analyzed. As stated in the help menu for the predictTxtFeatures function:
Alpha Minimum FPKM required for a splice junction to be included.
The user can change the value to be more or less restrictive when deciding if a feature is included or not. As the alpha value increases, the algorithm will slow down as the splicing graphs would became more complex.
EventPointer estimates the abundance of the isoforms mapped to each of the paths, in an splicing event, to obtain the PSI values. With this values, a simple linear model, using the provided design and contrast matrices, is solved and this increment is returned to the user in the data.frame (if PSI argument is TRUE).
It is possible to obtain the estimated PSI values using the internal functions getPSI,getPSImultipath for junction arrays, getPSI_RNASeq or getPSI_RNASeq_MultiPath for RNA-Seq data (data from the pipeline described in section 4.2: statistical analysis from de BAM files).
These functions not only calculate the value of Ψ but also the residuals of the simple linear model used to estimate the values of Ψ.
# Microarrays (two paths)
data(ArraysData)
PSI_Arrays_list<-EventPointer:::getPSI(ArraysData)
PSI_Arrays <- PSI_Arrays_list$PSI
Residuals_Arrays <- PSI_Arrays_list$Residuals
# Microarrays (Multi-Path)
data(ArrayDatamultipath)
PSI_MP_Arrays_list <- EventPointer:::getPSImultipath(ArrayDatamultipath)
PSI_multipath_Arrays <- PSI_MP_Arrays_list$PSI
Residuals_multipath_Arrays <- PSI_MP_Arrays_list$Residuals
# RNASeq (two paths)
data(AllEvents_RNASeq)
PSI_RNASeq_list<-EventPointer:::getPSI_RNASeq(AllEvents_RNASeq)
PSI_RNASeq <- PSI_RNASeq_list$PSI
Residuals_RNASeq <- PSI_RNASeq_list$Residuals
# RNASeq (Multi-Path)
data(AllEvents_RNASeq_MP)
PSI_MP_RNASeq_list <- EventPointer:::getPSI_RNASeq_MultiPath(AllEvents_RNASeq_MP)
PSI_multipath_RNASeq <- PSI_MP_RNASeq_list$PSI
Residuals_multipath_RNASeq <- PSI_MP_RNASeq_list$Residuals
We can apply the function PSI_Statistic to the values of Ψ (only for two-paths events). This function takes as input the values of PSI and performs a statistical analysis based on permutation test.
Dmatrix<-matrix(c(1,1,1,1,0,0,1,1),nrow=4,ncol=2,byrow=FALSE)
Cmatrix<-t(c(0,1))
table <- PSI_Statistic(PSI = PSI_Arrays,Design = Dmatrix,Contrast = Cmatrix,nboot = 20)
The residual obtained in the linear model used to estimate the values of Ψ must be independent from the Design matrix of the experiment. The data of the residuals that returns the internal functions getPSI or getPSI_RNASeq are useful to validate if this is true. The next code shows an example of how to perform a statistical analysis of the residuals.
Dmatrix<-matrix(c(1,1,1,1,0,0,1,1),nrow=4,ncol=2,byrow=FALSE)
Cmatrix<-t(t(c(0,1)))
Ress <- vector("list", length = ncol(Cmatrix))
fitresiduals <- limma::lmFit(Residuals_Arrays,design = Dmatrix)
fitresiduals2 <- limma::contrasts.fit(fitresiduals, Cmatrix)
fitresiduals2 <- limma::eBayes(fitresiduals2)
# repeated if there is more than one contrast
for (jj in 1:ncol(Cmatrix)) {
TopPSI <- limma::topTable(fitresiduals2, coef = jj, number = Inf)[, 1, drop = FALSE]
colnames(TopPSI)<-"Residuals"
Ress[[jj]] <- TopPSI
}
## R version 4.4.1 (2024-06-14)
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## other attached packages:
## [1] kableExtra_1.4.0 dplyr_1.1.4
## [3] EventPointer_3.15.0 Matrix_1.7-1
## [5] SGSeq_1.39.0 SummarizedExperiment_1.35.5
## [7] Biobase_2.67.0 MatrixGenerics_1.17.1
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## [106] XML_3.99-0.17 RUnit_0.4.33 parallel_4.4.1
## [109] MatrixModels_0.5-3 ggplot2_3.5.1 blob_1.2.4
## [112] bitops_1.0-9 listenv_0.9.1 glmnet_4.1-8
## [115] viridisLite_0.4.2 scales_1.3.0 prodlim_2024.06.25
## [118] crayon_1.5.3 rlang_1.1.4 cowplot_1.1.3
## [121] fastmatch_1.1-4 KEGGREST_1.45.1