# PEIMAN2-vignette

#### Payman Nickchi, Mohieddin Jafari

#### 2026-02-15

## 1 Introduction

The annotation enrichment analysis increases the chance of identifying relevant biological features in a list of genes or proteins. The post translational enrichment, integration, and matching analysis (PEIMAN v1) software was introduced to provide a systematic framework to identify more probable and enriched post-translational modification (PTM) terms in a list of proteins obtained from high-throughput technologies (Nickchi et al. 2015). PEIMAN maps a large list of proteins to PTM keywords and test for their statistical significance, using a hypergeometric test. PEIMAN uses the most traditional way of enrichment analysis, by getting a list of proteins selected by user, and search for enriched PTM terms one by one. This strategy is called Singular Enrichment Analysis or SEA. Although this is a very promising approach for identifying biological features, the quality of selected list by researcher can potentially affect results at the end of the analysis.

To avoid this problem, we extend our enrichment framework to a wider class of enrichment analysis called Gene Set Enrichment Analysis or GSEA (Subramanian et al. 2005). The underlying idea of GSEA is very similar to SEA. Instead of applying a cutoff on input genes obtained from micro array experiments (either p-value or fold-change in gene expression), a ‘no-cutoff’ strategy is considered. The immediate benefits of this approach is to reduce the bias of gene selection and include genes with a low change in their expression level to participate in final analysis. The maximum value of the running score profile for ranked genes in each enrichment category is then calculated and compared with random scores obtained from permutation. More details on (Subramanian et al. 2005). This framework can be expanded to enrichment analysis in proteins. Inspired by GSEA idea, we here introduce a package in R for Protein Set Enrichment Analysis (PSEA).

The database in PEIMAN package updates monthly according to changes in UniProt. The package can be used to perform singular enrichment analysis (SEA) and visualize the results. PEIMAN can also be used to match and integrate results of two SEA analysis (for the same species) by visualizing their common PTM terms. To correct for biases in SEA, we implement protein set enrichment analysis (PSEA) as a new tool for computational community. Researchers can use this package to run PSEA and visualize the results.

Figure1: Our suggested workflow for a PTM-centric proteomics using PEIMAN software v2.0

## 2 Example data

We consider two example datasets to demonstrate the features of our package.

1. `exmplData1`: We use the first example data for single enrichment analysis. This dataset contains two list of human proteins randomly selected from UniProt. The first list contains 45 proteins and the second list contains of 97 randomly selected proteins. Both lists belongs to Homo Sapiens (Human). Note: Only the first six proteins in each list are shown below.

P31946
P62258
Q04917
P61981
P31947
P27348

P17174
Q9NY61
P00505
Q96GS6
Q5VST6
Q6PCB6

2. `exmplData2`: We will use the second dataset to perform protein set enrichment analysis or PSEA. The dataset is described in (Gholizadeh et al. 2021).

beatAML dataset samples
UniProtAC | Score
--- | ---
P47819 | 579.6287
P20428 | 129.7175
P62982 | 2139.2700
P0CG51 | 2139.2700
P62986 | 2139.2700
Q63429 | 2139.2700

## 3 Singular Enrichment analysis (SEA)

In this section, we introduce the functions related to singular enrichment analysis or SEA in PEIMAN2 package. The functions in this section are divided into two parts, functions for enrichment and functions for plotting. We use `exmplData1` in this part.

### 3.1 Enrichment

`runEnrichment()` function can be used to run singular enrichment analysis for one list of protein. This function takes the following inputs:

- `protein` which is a character vector with protein UniProt accession codes.
- `os.name` which is a character vector of length one with exact taxonomy name of species.
- `p.adj.method` which is pvalue adjustment methos and optional. By default the value is set to ‘BH’. To see a possible list of values, type `p.adjust.methods` in R console.

As it was mentioned, the taxonomy name of species must be provided, e.g for a list of proteins belongs to human we pass `os.name` as ‘Homo sapiens (Human)’. The list is available at UniProt website. We also included a helper function named `getTaxonomyName` to help getting the exact taxonomy name. More on this function later.

The following lines of code illustrate the steps to run SEA on `exmplData1`. In `runEnrichment` function, we pass `pl1` (a character vector of UniProt accession code) to perform SEA as follows and save the results in `enrich1`.

    # Load PEIMAN2 package
    library(PEIMAN2)

    # Extract dataset and assign a variable name to it
    pl1 <- exmplData1$pl1

    # Run SEA on the list
    enrich1 <- runEnrichment(protein = pl1, os.name = 'Homo sapiens (Human)')

The function returns a dataframe with the following columns:

- `PTM`: Post-translational modification (PTM).
- `Freq in Population`: The total number of proteins with this PTM in UniProt (or background list).
- `Freq in Sample`: The total number of proteins with this PTM in the list.
- `Sample`: Number of proteins in the given list.
- `Population`: Total number of proteins in the current version of PEIMAN database (or background list).
- `pvalue`: The p-value obtained from hypergeometric test (enrichment analysis).
- `corrected pvalue`: Adjusted p-value to correct for multiple testing.
- `AC`: Uniprot accession code (AC) of proteins with each PTM.

PTM | FreqinPopulation | FreqinSample | Sample | Population | pvalue | corrected pvalue | AC
--- | --- | --- | --- | --- | --- | --- | ---
N6-(pyridoxal phosphate)lysine | 53 | 5 | 97 | 20431 | 2e-07 | 7e-06 | Q96QU6; Q4AC99; Q8N5Z0; Q8NHS2; P17174
Isoglutamyl cysteine thioester (Cys-Gln) | 7 | 2 | 97 | 20431 | 4e-06 | 7e-05 | P01023; A8K2U0
Glycoprotein | 4726 | 41 | 97 | 20431 | 8e-06 | 1e-04 | P08195; P08908; P28222; P28221; P28566; P30939; P28223; P41595; P28335; P46098; O95264; Q70Z44; A5X5Y0; Q13639; P47898; P34969; P21589; P02763; P19652; P20848; P01009; P04217; P08697; P02750; P01023; A8K2U0; U3KPV4; Q9NPC4; Q9UNA3; P05067; P30542; P29274; P29275; P0DMS8; P22760; Q15758; P01011; P54619; Q9UGJ0; Q9UGI9; Q13131
Thioester bond | 11 | 2 | 97 | 20431 | 2e-05 | 2e-04 | P01023; A8K2U0
S-cysteinyl cysteine | 3 | 1 | 97 | 20431 | 7e-05 | 5e-04 | P01009
Disulfide bond | 3885 | 33 | 97 | 20431 | 1e-04 | 9e-04 | P08195; P08908; P28222; P28221; P28566; P30939; P28223; P41595; P28335; P46098; O95264; Q8WXA8; A5X5Y0; Q13639; P47898; P50406; P34969; P21589; P05408; P02763; P19652; P04217; P08697; P02750; P01023; A8K2U0; P05067; P30542; P29274; P29275; P0DMS8; Q9NS82; P22760

Note: As it was mentioned, the os.name is the exact taxonomy name of species that you are working with. The name should be exactly the same as UniProt definition. To facilitate searching for this name, you can pass your protein list with UniProt accession ID to `getTaxonomyName` function as follows. The result is the exact taxonomy name of protein list that you need to pass to `runEnrichment`. In the following example, the exact taxonomy name is printed:

    getTaxonomyName(x = exmplData1$pl1)
    #> [1] "Please use os.name = `Homo sapiens (Human)`"

Similarly, we can run SEA for the second list of proteins:

    # Extract dataset and assign a variable name to it
    pl2 <- exmplData1$pl2

    # Run SEA on the list
    enrich2 <- runEnrichment(protein = pl2, os.name = 'Homo sapiens (Human)')

PTM | FreqinPopulation | FreqinSample | Sample | Population | pvalue | corrected pvalue | AC
--- | --- | --- | --- | --- | --- | --- | ---
Glycoprotein | 4726 | 25 | 45 | 20431 | 6e-07 | 1e-05 | O95477; Q9BZC7; Q99758; P78363; Q8WWZ7; Q8N139; Q8IZY2; O94911; Q8IUA7; Q86UK0; Q2M3G0; Q9NP58; O95342; Q09428; O60706; P33897; Q9UBJ2; P28288; Q9UNQ0; Q9H172; Q9H222; Q9H221; Q8N2K0; Q0P651; Q96J66
N6-(pyridoxal phosphate)lysine | 53 | 2 | 45 | 20431 | 2e-04 | 2e-03 | P17174; P00505
S-glutathionyl cysteine | 10 | 1 | 45 | 20431 | 2e-04 | 2e-03 | Q9NRK6
Glutathionylation | 13 | 1 | 45 | 20431 | 4e-04 | 2e-03 | Q9NRK6
N5-methylglutamine | 27 | 1 | 45 | 20431 | 2e-03 | 7e-03 | Q9BZC7
3’-nitrotyrosine | 46 | 1 | 45 | 20431 | 5e-03 | 2e-02 | P00505

### 3.2 Plotting SEA results

The `plotEnrichment` function can be used to visualize singular enrichment analysis for one set of proteins or match, analyse, and integrate results for two sets of proteins. To read more about this match and integration, please read details at (Nickchi et al. 2015). We start by plotting the results for the firs list.

    plotEnrichment(x = enrich1, sig.level = 0.05)
    #> Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
    #> ℹ Please use `linewidth` instead.
    #> ℹ The deprecated feature was likely used in the PEIMAN2 package.
    #>   Please report the issue to the authors.
    #> This warning is displayed once per session.
    #> Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
    #> generated.

The results is a Lollipop plot which presents “Relative frequency” of each “PTM keywords” along with their corrected p-value measured in log scale. Note that only significant PTMs are shown. The default value for significance level is 5 percent. One can also visualize and match the results of two enrichment. For example, we can see the integrated results of `enrich1` and `enrich2` by the following line of code:

    plotEnrichment(x = enrich1, y = enrich2, sig.level = 0.05)

The plot presents the ‘Relative frequency’ of common PTM terms among two enriched list (x and y). The coloring is the corrected p-value measured in log scale. By default a significance level of 5 percent is set to filter results. This can be modified by `sig.level` parameter.

## 4 Protein set enrichment analysis (PSEA)

In this section, we introduce the functions for protein set enrichment analysis (PSEA). The functions in this section are divided into two parts, functions for PSEA and functions for plotting the results. We use `exmplData2` in this part.

### 4.1 PSEA

In order to run protein set enrichment analysis (PSEA), you can use `runPSEA` function. This function takes the following inputs:

- `protein`: A character vector with protein UniProt accession.
- `os.name`: A character of length one for the exact name of organism name.
- `pexponent`: Enrichment weighting exponent, p. The default value is 1. For values of p < 1, one can detect incoherent patterns in a set of protein. If one expects a small number of proteins to be coherent in a large set, then p > 1 is a good choice.
- `nperm`: Number of permutation to adjust for multiple testing in different PTM terms. Default is 1000.
- `p.adj.method`: The adjustment method to correct for multiple testing. Run `p.adjust.methods` to get a list of possible methods.
- `sig.level`: The significance level to filter PTM terms (applies to adjusted p-value), 0.05 is the default value.
- `minSize`: PTM terms with a lower number of proteins than minSize are excluded. The default value is one.

    psea_res <- runPSEA(protein = exmplData2, os.name = 'Rattus norvegicus (Rat)', nperm = 1000)
    #> Warning: `rerun()` was deprecated in purrr 1.0.0.
    #> ℹ Please use `map()` instead.
    #>   # Previously
    #>   rerun(1000, psea(x = protein, y = pro.pathway, p = pexponent, perm = TRUE))
    #>
    #>   # Now
    #>   map(1:1000, ~ psea(x = protein, y = pro.pathway, p = pexponent, perm = TRUE))
    #> ℹ The deprecated feature was likely used in the PEIMAN2 package.
    #>   Please report the issue to the authors.
    #> This warning is displayed once per session.
    #> Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
    #> generated.

The result is a list with 6 elements. The first element of this list is important: A dataframe with protein set enrichment analysis (PSEA) results. Every row corresponds to a post-translational modification (PTM) term with the following columns:

- `pval`: p-value for singular enrichment analysis.
- `pvaladj`: Adjusted p-value
- `ES`: Enrichment score
- `NES`: Enrichmnt score normalized to mean enrichment of random samples of the same size.
- `nMoreExtreme`: Number of times the permuted sample resulted in profile with ES larger than abs(ES original)
- `size`: Number of proteins with a particular PTM term.
- `Enrichment`: Whether the proteins with a certain PTM term have been enriched in the list.
- `leadingEdge`: UniProt accession code of leading edge proteins that drive the enrichment.

    knitr::kable(psea_res[[1]], format = 'html')

PTM | pval | pvaladj | FreqinPopulation | FreqinSample | ES | NES | nMoreExtreme | size | Enrichment | AC | leadingEdge
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
ADP-ribosylglycine | 0e+00 | 0e+00 | 4 | 4 | 0.7707317 | 1.6293181 | 297 | 4 | Over presented | P62986; P62982; P0CG51; Q63429 | P62982; P0CG51; P62986; Q63429
Acetylation | 0e+00 | 0e+00 | 1787 | 125 | 0.7455919 | 1.1778051 | 10 | 125 | Over presented | P0C1X8; P11030; P60711; P63259; Q63028; Q62847; Q62848; Q9WUC4; P31399; P29419; P21571; P15999; D3ZAF6; Q9JJW3; O08839; P0DP29; P0DP30; P0DP31; P18418; P26772; P63039; B0K020; P08081; P08082; P45592; Q91ZN1; P11240; Q63768; P10715; P62898; Q9JHL4; Q7M0E3; P62628; Q07266; P84060; P62870; P15429; P07323; P60841; P56571; B0BN94; P55053; P55051; P07483; Q62658; Q32PX7; Q99PF5; Q5XI73; Q63228; P62994; P01946; P02091; P11517; P62959; P82995; P34058; P27321; Q5XI72; P50411; Q6AXU6; Q5BK20; P11980; Q99MZ8; Q792I0; Q66HF9; P15205; Q5M7W5; P30009; P02688; B0BN72; P30904; O35763; P62775; Q05982; Q71UE8; Q9JJ19; P13084; Q01205; P08461; Q920Q0; O88767; P04785; P31044; O55012; P10111; Q6J4I0; Q9R063; Q9EPC6; P02625; Q63475; P51583; Q68A21; P02401; P62982; P62859; Q6RJR6; Q9JK11; Q63945; B0BN85; P07632; Q66HL2; P28042; O35814; P13668; P37377; Q62880; P19332; P68370; Q6P9V9; Q6AYZ1; Q68FR8; Q5XIF6; Q6PEC1; P11232; P62076; P62078; Q9WV97; P48500; P04692; P58775; Q63610; P09495; Q7M767; Q9Z1A5; P63045 | P62628; P31044; P37377; P45592; P11030; P02625; P29419; P62775; P21571; O88767; P31399; P02688; P08082; P62898; P63045; P62076; P11232; O35814; Q9WUC4; Q62658; Q63228; P07632; Q5XI73; B0K020; P08081; P62959
Cysteine sulfinic acid (-SO2H) | 0e+00 | 0e+00 | 1 | 1 | 0.9423077 | 21.4435010 | 77 | 1 | Over presented | O88767 | O88767
L-cysteine coenzyme A disulfide | 0e+00 | 0e+00 | 1 | 1 | -0.5817308 | -19.7590946 | 406 | 1 | Under presented | Q05982 | P31044
N-acetylaspartate | 0e+00 | 0e+00 | 1 | 1 | -0.9615385 | -27.8270510 | 42 | 1 | Under presented | P60711 | P31044
N-acetylglutamate | 0e+00 | 0e+00 | 1 | 1 | -0.9663462 | 232.0299539 | 35 | 1 | Over presented | P63259 | P31044
N6-acetyllysine | 0e+00 | 0e+00 | 1010 | 75 | 0.7129375 | 1.1256612 | 70 | 75 | Over presented | P11030; Q62848; Q9WUC4; P31399; P29419; P21571; P15999; D3ZAF6; Q9JJW3; P0DP29; P0DP30; P0DP31; P18418; P26772; P63039; B0K020; P08081; P08082; P45592; P11240; P62898; Q9JHL4; Q7M0E3; P07323; P56571; Q62658; Q99PF5; Q5XI73; P62994; P01946; P62959; P82995; P34058; P27321; Q6AXU6; Q5BK20; P11980; Q99MZ8; P30009; P02688; B0BN72; P30904; O35763; P62775; Q05982; Q71UE8; P13084; Q01205; P08461; O88767; P04785; P10111; Q9R063; Q63475; P51583; Q68A21; P02401; P62982; Q9JK11; Q63945; P07632; Q66HL2; P28042; O35814; P13668; P19332; P68370; Q6P9V9; Q6AYZ1; Q68FR8; Q5XIF6; P11232; P48500; P09495; Q9Z1A5 | P45592; P11030; P29419; P62775; P21571; O88767; P31399; P02688; P08082; P62898; P11232; O35814; Q9WUC4; Q62658; P07632; Q5XI73; B0K020; P08081; P62959
Phosphoprotein | 0e+00 | 0e+00 | 4142 | 171 | 0.5995932 | 0.9306388 | 767 | 171 | Over presented | P0C1X8; P11030; Q63028; Q62847; O08838; Q99068; Q05140; Q62848; Q9WUC4; P29419; P21571; P15999; D3ZAF6; Q05175; O08839; O88778; P0DP29; P0DP30; P0DP31; O35783; O35397; P26772; P63039; P08081; P08082; P10354; P45592; Q91ZN1; P11240; P84087; Q5U2U2; Q63768; Q6AY72; P11951; P10715; P62898; Q9JHL4; Q9QXU8; Q7M0E3; Q62950; P47942; Q07266; P84060; Q9WTP0; P62870; P15429; P07323; P60841; Q9Z1Z3; Q5RJL0; B0BN94; P55053; P07483; Q9JIX3; Q62658; Q32PX7; Q99PF5; Q920R4; Q5XI73; P47819; Q63228; P62994; P01946; P02091; P11517; P62959; Q9Z2X5; P82995; P34058; P27321; Q5XI72; Q68FR3; P50411; Q6AXU6; Q5BK20; P07335; P11980; Q99MZ8; Q66HF9; P34926; P15205; Q5M7W5; Q63560; P30009; P02688; B0BN72; Q5FVH7; Q4KM98; Q6XVN8; Q62625; O35763; Q9EPH2; P15146; P62775; P20428; Q05982; P69682; P97603; P07936; Q9JJ19; P13084; Q63083; Q9JI85; Q01205; P08461; Q4V8B0; Q5XIL2; Q9Z0W5; Q920Q0; O88767; P04785; Q5U318; P31044; O55012; Q99MC0; P10111; Q6J4I0; Q9R063; P02625; Q812D1; Q63475; P51583; P86252; Q68A21; P62986; P02401; P62982; P62859; Q64548; Q6RJR6; Q9JK11; O35314; P10362; Q63945; B0BN85; P60881; Q9Z2P6; P07632; Q66HL2; P28042; O35814; P13668; P21818; P09951; Q63537; O70441; Q58DZ9; P37377; Q63754; P21643; Q62880; P19332; P68370; Q6P9V9; Q6AYZ1; Q68FR8; Q5XIF6; Q66HC1; P62076; Q9WVA1; P48500; P04692; P58775; Q63610; P09495; P02767; P0CG51; Q63429; P63045; P20156; Q5BJU7 | P31044; P37377; P45592; P11030; P02625; P29419; Q05175; P62775; P21571; O88767; P15146; Q63754; P02688; P08082; P62898; P63045; P62076; O35814; Q9WUC4; Q62658; P86252; Q63228; P07632; Q9WVA1; Q5XI73; P08081; P62959; P09951; P60881; P84087; P10362
Phosphoserine | 0e+00 | 0e+00 | 3674 | 155 | 0.5378929 | 0.8436253 | 947 | 155 | Over presented | P0C1X8; Q63028; Q62847; O08838; Q99068; Q05140; Q62848; Q9WUC4; P29419; P21571; P15999; D3ZAF6; Q05175; O08839; O88778; P0DP29; P0DP30; P0DP31; O35783; O35397; P63039; P08081; P08082; P10354; P45592; Q91ZN1; P84087; Q63768; P11951; Q9JHL4; Q9QXU8; Q7M0E3; Q62950; P47942; Q07266; P84060; Q9WTP0; P62870; P15429; P07323; P60841; Q9Z1Z3; Q5RJL0; P55053; P07483; Q62658; Q32PX7; Q99PF5; Q920R4; Q5XI73; P47819; P01946; P02091; P11517; P62959; Q9Z2X5; P82995; P34058; P27321; Q5XI72; Q68FR3; P50411; Q6AXU6; Q5BK20; P07335; P11980; Q99MZ8; Q66HF9; P34926; P15205; Q5M7W5; Q63560; P30009; P02688; B0BN72; Q5FVH7; Q4KM98; Q6XVN8; O35763; Q9EPH2; P15146; P20428; Q05982; P97603; P07936; Q9JJ19; P13084; Q63083; Q9JI85; Q01205; P08461; Q4V8B0; Q5XIL2; Q9Z0W5; Q920Q0; P04785; Q5U318; P31044; O55012; Q99MC0; P10111; Q6J4I0; Q9R063; P02625; Q812D1; Q63475; P51583; P86252; Q68A21; P62986; P02401; P62982; P62859; Q64548; Q6RJR6; Q9JK11; O35314; P10362; Q63945; B0BN85; P60881; Q9Z2P6; P07632; Q66HL2; P28042; O35814; P13668; P21818; P09951; Q63537; O70441; Q58DZ9; P37377; Q63754; P21643; Q62880; P19332; P68370; Q6P9V9; Q6AYZ1; Q68FR8; Q5XIF6; Q66HC1; P62076; Q9WVA1; P48500; P04692; P58775; Q63610; P09495; P02767; P0CG51; Q63429; P20156; Q5BJU7 | P31044; P37377; P45592; P02625; P29419; Q05175; P21571; P15146; Q63754; P02688; P08082; P62076; O35814; Q9WUC4; Q62658; P86252; P07632; Q9WVA1; Q5XI73; P08081; P62959; P09951; P60881; P84087; P10362; Q9Z0W5; Q63537; P07483; P15999; Q9JHL4; D3ZAF6; P62982; P0CG51; P62986; Q63429; O08838
Phosphothreonine | 0e+00 | 0e+00 | 1555 | 92 | 0.5499037 | 0.8737015 | 929 | 92 | Over presented | P0C1X8; Q63028; O08838; Q05140; Q62848; P15999; Q05175; O08839; O88778; P0DP29; P0DP30; P0DP31; O35783; P26772; P08082; P45592; Q91ZN1; P11240; Q9JHL4; Q9QXU8; Q62950; P47942; Q07266; P84060; Q9WTP0; P62870; P15429; P07323; P60841; Q9Z1Z3; Q5RJL0; B0BN94; P07483; Q32PX7; Q99PF5; Q920R4; P47819; P62994; P01946; P02091; P11517; P82995; P34058; P27321; P50411; Q6AXU6; P07335; P11980; Q99MZ8; P34926; P15205; Q5M7W5; P30009; P02688; B0BN72; Q4KM98; O35763; Q9EPH2; P15146; P62775; P20428; P69682; P97603; P07936; Q9JJ19; P13084; Q63083; Q4V8B0; Q9Z0W5; Q920Q0; P31044; Q99MC0; P10111; Q6J4I0; Q812D1; Q63475; P51583; Q68A21; Q6RJR6; Q9JK11; B0BN85; P60881; Q66HL2; O35814; P09951; Q63537; Q62880; P19332; P48500; P58775; Q63610; P09495 | P31044; P45592; Q05175; P62775; P15146; P02688; P08082; O35814
Sulfocysteine | 0e+00 | 0e+00 | 1 | 1 | -0.7596154 | 24.0935601 | 246 | 1 | Over presented | P02767 | P31044
N-acetylalanine | 0e+00 | 0e+00 | 438 | 42 | 0.7139681 | 1.1209109 | 155 | 42 | Over presented | P31399; D3ZAF6; O08839; P0DP29; P0DP30; P0DP31; P26772; P45592; Q63768; Q7M0E3; P62628; Q07266; P15429; B0BN94; P55053; P07483; Q32PX7; Q5XI73; P62959; Q5XI72; P50411; Q792I0; P15205; Q5M7W5; P02688; O88767; P31044; Q9EPC6; P51583; Q68A21; Q6RJR6; B0BN85; P07632; P13668; P19332; Q6PEC1; P62078; Q9WV97; Q63610; P09495; Q7M767; Q9Z1A5 | P62628; P31044; P45592; O88767; P31399; P02688; P07632; Q5XI73; P62959; Q9WV97; Q6PEC1; P07483
Phosphotyrosine | 0e+00 | 0e+00 | 664 | 49 | 0.7022456 | 1.1028908 | 188 | 49 | Over presented | P0C1X8; P11030; P0DP29; P0DP30; P0DP31; O35783; P63039; P45592; Q5U2U2; Q63768; Q6AY72; P62898; Q9JHL4; Q62950; P47942; Q9WTP0; P15429; P07323; P55053; P07483; Q9JIX3; P62994; P01946; P82995; P34058; P07335; P11980; P34926; P15205; Q63560; P02688; B0BN72; O35763; P15146; P13084; Q9Z0W5; O88767; P51583; Q63945; Q66HL2; O35814; P09951; P37377; P19332; Q6AYZ1; Q68FR8; Q5XIF6; P04692; P58775 | P37377; P45592; P11030; O88767; P15146; P02688; P62898; O35814
N6-succinyllysine | 0e+00 | 0e+00 | 328 | 31 | 0.7518702 | 1.1700126 | 103 | 31 | Over presented | P11030; P31399; P21571; P15999; P26772; P63039; P62898; P47942; P07323; P56571; Q62658; Q5XI73; P01946; P02091; P11517; P34058; P11980; Q99MZ8; P30904; O35763; P13084; P08461; O88767; P04785; Q9R063; P02401; P07632; P28042; P11232; P62076; P48500 | P11030; P21571; O88767; P31399; P62898; P62076; P11232; Q62658; P07632; Q5XI73
Methylation | 0e+00 | 0e+00 | 507 | 39 | 0.3911697 | 0.6140694 | 995 | 39 | Over presented | P0C1X8; P60711; P63259; Q05140; P15999; O88778; P0DP29; P0DP30; P0DP31; P47942; Q9Z1Z3; Q32PX7; Q99PF5; P47819; P02091; P11517; P34058; Q5XI72; P11980; Q99MZ8; P15205; P02688; Q920Q0; Q63475; Q68A21; P63033; P62986; Q63945; Q66HL2; P13668; P09951; P19332; P68370; Q6P9V9; Q6AYZ1; Q68FR8; Q5XIF6; P48500; Q5BJU7 | P02688; P09951; P15999; P62986; Q6P9V9; Q6AYZ1; P68370; P48500; Q5XI72
3’-nitrotyrosine | 0e+00 | 2e-07 | 31 | 8 | 0.5834036 | 1.0064475 | 653 | 8 | Over presented | Q62950; P07335; P68370; Q6P9V9; Q6AYZ1; Q68FR8; Q5XIF6; P48500 | Q6P9V9; Q6AYZ1; P68370; P48500
Nitration | 1e-07 | 3e-07 | 32 | 8 | 0.5834036 | 0.9762622 | 645 | 8 | Over presented | Q62950; P07335; P68370; Q6P9V9; Q6AYZ1; Q68FR8; Q5XIF6; P48500 | Q6P9V9; Q6AYZ1; P68370; P48500
N6-methyllysine | 3e-06 | 1e-05 | 61 | 9 | -0.3200000 | -0.5199926 | 26 | 9 | Under presented | P60711; P63259; P0DP29; P0DP30; P0DP31; Q99MZ8; P13668; P19332; P48500 | P31044; Q9WUC4; P0DN35; P62859; Q5PPG6; P10715; Q71UE8; O88778; Q6AXU6
Isopeptide bond | 3e-06 | 1e-05 | 767 | 40 | 0.6527720 | 1.0308294 | 433 | 40 | Over presented | Q62847; Q05175; P0DP29; P0DP30; P0DP31; P63039; B0K020; P45592; P07323; Q99PF5; Q5XI73; P62994; P27321; Q68FR3; P07335; P11980; Q66HF9; Q5M7W5; Q05982; Q71UE8; P13084; O88767; O55012; P10111; Q812D1; P62986; P62982; Q63945; B0BN85; Q66HL2; O35814; P19332; P68370; Q6P9V9; Q66HC1; P48500; P0CG51; Q63429; Q5BJP3; P63025 | P45592; Q05175; Q5BJP3; O88767; O35814; Q5XI73; B0K020
N-acetylvaline | 2e-05 | 6e-05 | 14 | 4 | 0.3804878 | 0.7828607 | 810 | 4 | Over presented | P55051; P02091; P11517; P10111 | P10111; P55051; P11517; P02091
N6-lipoyllysine | 2e-05 | 6e-05 | 3 | 2 | -0.7584541 | -2.7453565 | 49 | 2 | Under presented | Q01205; P08461 | P31044; Q63754
N6,N6,N6-trimethyllysine | 2e-05 | 7e-05 | 35 | 6 | 0.5493333 | 0.9702863 | 687 | 6 | Over presented | P0DP29; P0DP30; P0DP31; P11980; P62986; Q6P9V9 | P62986; Q6P9V9
Omega-N-methylarginine | 3e-05 | 1e-04 | 260 | 18 | 0.4700971 | 0.7326933 | 914 | 18 | Over presented | P0C1X8; Q05140; P15999; O88778; Q9Z1Z3; Q32PX7; Q99PF5; P47819; Q5XI72; P15205; P02688; Q63475; Q68A21; Q66HL2; P09951; P19332; Q6P9V9; Q5BJU7 | P02688; P09951; P15999; Q6P9V9; Q5XI72
S-nitrosocysteine | 3e-05 | 1e-04 | 50 | 7 | 0.7165769 | 1.2045902 | 389 | 7 | Over presented | P47942; P82995; P34058; P11980; P15205; O35763; P11232 | P11232
N6-malonyllysine | 4e-05 | 1e-04 | 16 | 4 | 0.8782475 | 1.7868632 | 115 | 4 | Over presented | P11030; P26772; P63039; P34058 | P11030
Oxidation | 5e-05 | 1e-04 | 27 | 5 | 0.8799090 | 1.6186091 | 79 | 5 | Over presented | P60711; P63259; P10354; Q05982; O88767 | O88767
N-acetylmethionine | 5e-05 | 1e-04 | 391 | 23 | 0.6967950 | 1.0890175 | 323 | 23 | Over presented | P0C1X8; P60711; P63259; Q63028; P84060; P62870; P62994; Q6AXU6; Q5BK20; Q99MZ8; P13084; Q920Q0; P10111; Q6J4I0; P02401; P62859; Q9JK11; O35814; P37377; Q62880; P62076; P04692; P58775 | P37377; P62076; O35814
S-nitrosylation | 8e-05 | 2e-04 | 56 | 7 | 0.7165769 | 1.2498194 | 365 | 7 | Over presented | P47942; P82995; P34058; P11980; P15205; O35763; P11232 | P11232
Ubl conjugation | 1e-04 | 3e-04 | 1240 | 51 | 0.6788115 | 1.0698554 | 278 | 51 | Over presented | P60711; Q62847; Q05175; P0DP29; P0DP30; P0DP31; P63039; B0K020; P45592; Q91ZN1; P11240; Q7M0E3; Q07266; P07323; Q9Z1Z3; Q32PX7; Q99PF5; Q5XI73; P62994; P82995; P34058; P27321; Q68FR3; P07335; P11980; Q66HF9; Q5M7W5; Q62625; Q05982; P13084; O88767; O55012; P10111; Q812D1; P62986; P62982; Q63945; B0BN85; Q66HL2; O35814; P21818; P37377; P19332; Q6P9V9; Q66HC1; P48500; P0CG51; Q63429; Q5BJP3; Q9Z1A5; P63025 | P37377; P45592; Q05175; Q5BJP3; O88767; O35814; Q5XI73; B0K020
Phosphatidylethanolamine amidated glycine | 2e-04 | 4e-04 | 5 | 2 | 0.6231884 | 2.1708333 | 458 | 2 | Over presented | Q6XVN8; Q62625 | Q62625; Q6XVN8
Phosphatidylserine amidated glycine | 2e-04 | 4e-04 | 5 | 2 | 0.6231884 | 2.3217529 | 442 | 2 | Over presented | Q6XVN8; Q62625 | Q62625; Q6XVN8
Methionine (R)-sulfoxide | 3e-04 | 7e-04 | 6 | 2 | -0.9661836 | -3.1174711 | 2 | 2 | Under presented | P60711; P63259 | P31044; P37377
5-glutamyl polyglutamate | 5e-04 | 1e-03 | 7 | 2 | 0.7053140 | 2.1592171 | 392 | 2 | Over presented | P68370; Q6P9V9 | Q6P9V9; P68370
ADP-ribosylation | 8e-04 | 2e-03 | 44 | 5 | 0.7465420 | 1.3679498 | 332 | 5 | Over presented | P13084; P62986; P62982; P0CG51; Q63429 | P62982; P0CG51; P62986; Q63429
Tele-methylhistidine | 8e-04 | 2e-03 | 8 | 2 | -0.9661836 | -3.5432352 | 1 | 2 | Under presented | P60711; P63259 | P31044; P37377
Deamidated glutamine | 2e-03 | 4e-03 | 3 | 1 | 0.9230769 | -76.0110628 | 93 | 1 | Under presented | P02688 | P02688
Arginine amide | 4e-03 | 7e-03 | 4 | 1 | 0.5144231 | -45.3748422 | 480 | 1 | Under presented | O35314 | O35314
Glycine amide | 4e-03 | 7e-03 | 4 | 1 | -0.7644231 | 59.3450704 | 237 | 1 | Over presented | P10354 | P31044
N6-(2-hydroxyisobutyryl)lysine | 4e-03 | 7e-03 | 26 | 3 | 0.9429546 | 2.0987122 | 46 | 3 | Over presented | P11030; P18418; P07323 | P11030
Asymmetric dimethylarginine | 6e-03 | 1e-02 | 108 | 7 | 0.5311510 | 0.8928403 | 729 | 7 | Over presented | Q05140; O88778; P47942; P02091; P11517; P09951; Q5BJU7 | P09951
N,N,N-trimethylalanine | 6e-03 | 1e-02 | 5 | 1 | -0.7115385 | -23.7082803 | 275 | 1 | Under presented | Q63945 | P31044
N-acetylserine | 8e-03 | 1e-02 | 212 | 11 | 0.8333308 | 1.3209382 | 64 | 11 | Over presented | P11030; Q62847; Q91ZN1; P07323; P60841; Q99PF5; Q63228; Q9JJ19; O55012; P02625; P63045 | P11030; P02625; P63045; Q63228
N-acetylglycine | 8e-03 | 1e-02 | 17 | 2 | 0.8299358 | 3.2846991 | 217 | 2 | Over presented | P10715; P62898 | P62898
Methionine sulfoxide | 9e-03 | 1e-02 | 6 | 1 | -0.7644231 | -17.4967763 | 221 | 1 | Under presented | P10354 | P31044
N6-methylated lysine | 9e-03 | 1e-02 | 6 | 1 | -0.8365385 | -4606.4210526 | 175 | 1 | Under presented | P34058 | P31044
Sulfation | 1e-02 | 2e-02 | 34 | 3 | 0.6281641 | 1.5358342 | 499 | 3 | Over presented | O35314; P10362; P02767 | P10362
Citrulline | 2e-02 | 3e-02 | 39 | 3 | 0.8494968 | 2.0127613 | 184 | 3 | Over presented | P47819; P02688; Q812D1 | P02688
4-carboxyglutamate | 2e-02 | 3e-02 | 9 | 1 | -0.7596154 | 255.2893891 | 242 | 1 | Over presented | P02767 | P31044
Citrullination | 2e-02 | 3e-02 | 42 | 3 | 0.8494968 | 2.0842360 | 186 | 3 | Over presented | P47819; P02688; Q812D1 | P02688
Pyrrolidone carboxylic acid | 2e-02 | 3e-02 | 43 | 3 | 0.4387468 | 1.0582879 | 724 | 3 | Over presented | P10354; P22057; P20156 | P22057; P20156
Gamma-carboxyglutamic acid | 3e-02 | 3e-02 | 10 | 1 | -0.7596154 | -27.2040432 | 232 | 1 | Under presented | P02767 | P31044
N-acetylcysteine | 3e-02 | 3e-02 | 10 | 1 | 0.9567308 | 42.6701515 | 51 | 1 | Over presented | P62775 | P62775
Amidation | 3e-02 | 4e-02 | 48 | 3 | -0.4660194 | -1.0971020 | 152 | 3 | Under presented | P10354; O35314; P20156 | P31044; P29419; P48500

### 4.2 Plotting

We now introduce the plotting features for protein set enrichment analysis. Two functions are included to visualize PSEA results returned from `runPSEA` function. The first plot is generated by `plotPSEA` function and shows Normalized Enrichment Score (NES) for each PTM term. User can restrict the number of PTM terms to draw based by adjusting sig.level parameter (default value is 0.05). The coloring of the plot indicates if the PTM term is enriched or not.

    plotPSEA(x = psea_res)

The second plot is generated by `plotRunningScore` function. A running enrichment score plot for each PTM can be plotted.

## 5. Translate PEIMAN results for Mass spectrometry searching tools

In addition to the introduced features and extensions from previous version, the results from PEIMAN can also be utilized in Mass spectrometry searching tools. The enriched PTM terms in list of proteins generated by `runPSEA` function in the previous step can be searched in subset of protein modifications database. `psea2mass` function takes PSEA results and a significant level (default value is 0.05) and returns protein modification of statistically significant PTM terms for later searches in mass spectrometry tools. Note that p-values obtained from permutation is used to identify significant PTM terms. As an example on how the function works, continuing from `exmplData2` for PSEA, we call `psea2mass` function as follows:

    MS <- psea2mass(x = psea_res, sig.level = 0.05)
    MS
    #>      MOD_ID                       name
    #> 1 MOD:00085         N6-methyl-L-lysine
    #> 2 MOD:00127         N6-lipoyl-L-lysine
    #> 3 MOD:00322      1'-methyl-L-histidine
    #> 4 MOD:00720 L-methionine (R)-sulfoxide
    #> 5 MOD:00051   N-acetyl-L-aspartic acid
    #> 6 MOD:00053   N-acetyl-L-glutamic acid
    #>                                                                                                                                                                            def
    #> 1                               "converts an L-lysine residue to N6-methyl-L-lysine." [ChEBI:17604, DeltaMass:165, PubMed:11875433, PubMed:3926756, RESID:AA0076, Unimod:34#K]
    #> 2                     "converts an L-lysine residue to N6-lipoyl-L-lysine." [DeltaMass:0, OMSSA:67, PubMed:3421911, PubMed:3522581, PubMed:7719855, RESID:AA0118, Unimod:42#K]
    #> 3 "converts an L-histidine residue to tele-methyl-L-histidine." [PubMed:10601317, PubMed:11474090, PubMed:11875433, PubMed:6692818, PubMed:8076, PubMed:8645219, RESID:AA0317]
    #> 4                "oxygenates an L-methionine residue to L-methionine sulfoxide R-diastereomer." [ChEBI:45764, PubMed:21406390, PubMed:22116028, PubMed:23911929, RESID:AA0581]
    #> 5                                               "converts an L-aspartic acid residue to N-acetyl-L-aspartic acid." [ChEBI:21547, PubMed:1560020, PubMed:2395459, RESID:AA0042]
    #> 6                                                               "converts an L-glutamic acid residue to N-acetyl-L-glutamic acid." [ChEBI:17533, PubMed:6725286, RESID:AA0044]
    #>   FreqinSample
    #> 1            9
    #> 2            2
    #> 3            2
    #> 4            2
    #> 5            1
    #> 6            1

Note that list of proteins generated by `runEnrichment` function can be passed to `sea2mass` function too.

## References

Gholizadeh, Elham, Reza Karbalaei, Ali Khaleghian, et al. 2021. “Identification of Celecoxib-Targeted Proteins Using Label-Free Thermal Proteome Profiling on Rat Hippocampus.” Molecular Pharmacology 99 (5): 308–18. https://doi.org/https://doi.org/10.1124/molpharm.120.000210.
Nickchi, Payman, Mohieddin Jafari, and Shiva Kalantari. 2015. “PEIMAN 1.0: Post-translational modification Enrichment, Integration and Matching ANalysis.” Database 2015 (April). https://doi.org/10.1093/database/bav037.
Subramanian, Aravind, Pablo Tamayo, Vamsi K. Mootha, et al. 2005. “Gene Set Enrichment Analysis: A Knowledge-Based Approach for Interpreting Genome-Wide Expression Profiles.” Proceedings of the National Academy of Sciences 102 (43): 15545–50. https://doi.org/10.1073/pnas.0506580102.