Overview
This R Markdown performs FGSEA-based pathway characterization of
malignant CD4+ T-cell clusters, using the entire ranked
differential expression output per cluster (not a top-N marker subset).
This is a methodological correction relative to an earlier top100-based
FGSEA attempt: FGSEA’s permutation-based null distribution requires a
full ranked gene list to be statistically valid. Restricting FGSEA to a
short marker list is the reason that earlier run was underpowered;
over-representation analysis (ORA) remains the correct tool for short,
fixed marker-gene lists, while FGSEA is the correct tool here because
the entire transcriptome per cluster is being ranked.
The workflow:
- Identify cluster-specific differential expression using Seurat
FindAllMarkers, retaining all tested genes (no
logfc.threshold/top-N filtering).
- Rank genes per cluster using a composite statistic combining effect
size and statistical confidence, with an explicit floor on p-values to
avoid infinite ranks.
- Run FGSEA against Hallmark, Reactome, KEGG, and GO:BP gene sets.
- Export enrichment tables including NES, p-value, adjusted p-value,
and leading-edge genes – the genes actually driving each enrichment
signal.
1. Load packages
library(Seurat)
library(dplyr)
library(fgsea)
library(msigdbr)
library(ggplot2)
library(tibble)
library(stringr)
set.seed(123)
2. Load Seurat object
Load your integrated malignant CD4+ T-cell Seurat object.
# Example:
All_samples_Merged <- readRDS("../../1-Seurat_RDS_OBJECT_FINAL/All_samples_Merged_with_Renamed_Clusters_Cell_state-03-12-2025.rds.rds")
All_samples_Merged
DefaultAssay(All_samples_Merged)
Idents(All_samples_Merged) <- "seurat_clusters"
Idents(All_samples_Merged)
3. Differential expression analysis
All genes are retained for FGSEA.
No top-100 filtering is applied.
All tested genes are retained for FGSEA – no top-N filtering, since
FGSEA requires a full ranked list rather than a short marker set.
markers_all <- FindAllMarkers(
object = All_samples_Merged,
only.pos = FALSE,
min.pct = 0.1,
logfc.threshold = 0
)
head(markers_all)
4. Generate ranking statistic
The ranking combines expression effect size and statistical
confidence:
\[
Score = sign(avg\_log2FC) \times |avg\_log2FC| \times
\sqrt{-log10(p_{adj})}
\]
Fix applied: in large single-cell datasets,
p_val_adj is frequently exactly 0 due to very large cell
numbers, which makes -log10(p_val_adj) = Inf for many genes
simultaneously. Replacing all of those with the single maximum finite
rank (as in the original script) collapses many genes to an identical
tied value, destroying the relative ordering FGSEA depends on. Instead,
a numerical floor is applied to p_val_adj before
the log transform, preserving relative differences between highly
significant genes.
p_floor <- min(markers_all$p_val_adj[markers_all$p_val_adj > 0], na.rm = TRUE) / 10
markers_all <- markers_all %>%
mutate(
p_val_adj_floored = ifelse(p_val_adj == 0, p_floor, p_val_adj),
fgsea_rank = sign(avg_log2FC) * abs(avg_log2FC) * sqrt(-log10(p_val_adj_floored))
)
sum(is.infinite(markers_all$fgsea_rank))
[1] 0
sum(markers_all$p_val_adj == 0)
[1] 8266
5. Prepare pathway databases
library(msigdbr)
msigdbr_species <- "Homo sapiens"
# -------------------------
# Hallmark pathways
# -------------------------
hallmark_sets <- msigdbr(
species = msigdbr_species,
collection = "H"
)
hallmark_sets <- split(
hallmark_sets$gene_symbol,
hallmark_sets$gs_name
)
# -------------------------
# Reactome pathways
# -------------------------
reactome_sets <- msigdbr(
species = msigdbr_species,
collection = "C2",
subcollection = "CP:REACTOME"
)
reactome_sets <- split(
reactome_sets$gene_symbol,
reactome_sets$gs_name
)
# -------------------------
# KEGG pathways
# -------------------------
kegg_sets <- msigdbr(
species = msigdbr_species,
collection = "C2",
subcollection = "CP:KEGG_LEGACY"
)
kegg_sets <- split(
kegg_sets$gene_symbol,
kegg_sets$gs_name
)
# -------------------------
# GO Biological Process
# -------------------------
go_sets <- msigdbr(
species = msigdbr_species,
collection = "C5",
subcollection = "GO:BP"
)
go_sets <- split(
go_sets$gene_symbol,
go_sets$gs_name
)
# Check pathway numbers
length(hallmark_sets)
[1] 50
[1] 1839
[1] 186
[1] 7538
Note: if your installed msigdbr version is >= 10.0,
the category/subcategory arguments have been
renamed to collection/subcollection. If the
chunk above errors with “unused argument”, replace
category = with collection = and
subcategory = with subcollection = throughout
this section.
6. FGSEA function
run_fgsea_cluster <- function(cluster_id, markers, pathways) {
message("Running cluster: ", cluster_id)
cluster_markers <- markers %>% dplyr::filter(cluster == cluster_id)
ranks <- cluster_markers$fgsea_rank
names(ranks) <- cluster_markers$gene
ranks <- ranks[!duplicated(names(ranks))]
ranks <- ranks[!is.na(ranks) & !is.infinite(ranks)]
ranks <- sort(ranks, decreasing = TRUE)
fgsea_result <- fgsea(
pathways = pathways,
stats = ranks,
minSize = 15,
maxSize = 500,
eps = 0
)
fgsea_result <- as.data.frame(fgsea_result)
fgsea_result$leadingEdge_genes <- sapply(
fgsea_result$leadingEdge,
function(x) paste(x, collapse = ", ")
)
fgsea_result$cluster <- cluster_id
fgsea_result$n_genes_ranked <- length(ranks)
return(fgsea_result)
}
7. Define clusters
clusters <- sort(unique(markers_all$cluster))
clusters
[1] 0 1 2 3 4 5 6 7 8 9 10 11 12 13
Levels: 0 1 2 3 4 5 6 7 8 9 10 11 12 13
8. Run FGSEA across all four databases
hallmark_results <- bind_rows(lapply(clusters, run_fgsea_cluster,
markers = markers_all, pathways = hallmark_sets))
hallmark_results$database <- "Hallmark"
reactome_results <- bind_rows(lapply(clusters, run_fgsea_cluster,
markers = markers_all, pathways = reactome_sets))
reactome_results$database <- "Reactome"
kegg_results <- bind_rows(lapply(clusters, run_fgsea_cluster,
markers = markers_all, pathways = kegg_sets))
kegg_results$database <- "KEGG"
go_results <- bind_rows(lapply(clusters, run_fgsea_cluster,
markers = markers_all, pathways = go_sets))
go_results$database <- "GO_BP"
9. Combine all databases
all_fgsea_results <- bind_rows(hallmark_results, reactome_results, kegg_results, go_results)
all_fgsea_results <- all_fgsea_results %>%
dplyr::select(cluster, database, pathway, NES, pval, padj, size,
n_genes_ranked, leadingEdge_genes) %>%
dplyr::arrange(cluster, padj)
head(all_fgsea_results)
10. Export complete FGSEA table
write.csv(all_fgsea_results, "FGSEA_All_Pathways_with_LeadingEdge_Genes.csv", row.names = FALSE)
11. Significant pathways
significant_fgsea <- all_fgsea_results %>% dplyr::filter(padj < 0.05)
write.csv(significant_fgsea, "FGSEA_Significant_Pathways.csv", row.names = FALSE)
12. Top pathways per cluster
top_pathways <- all_fgsea_results %>%
dplyr::group_by(cluster) %>%
dplyr::arrange(padj) %>%
dplyr::slice_head(n = 10)
write.csv(top_pathways, "FGSEA_Top10_Pathways_Per_Cluster.csv", row.names = FALSE)
top_pathways
13. Plot Hallmark enrichment per cluster
plot_data <- hallmark_results %>%
dplyr::filter(padj < 0.05) %>%
dplyr::group_by(cluster) %>%
dplyr::slice_max(order_by = abs(NES), n = 5)
if (nrow(plot_data) > 0) {
ggplot(plot_data, aes(x = reorder(pathway, NES), y = NES, fill = NES > 0)) +
geom_col() +
facet_wrap(~cluster, scales = "free") +
coord_flip() +
scale_fill_manual(values = c("TRUE" = "#B2182B", "FALSE" = "#4393C3"), guide = "none") +
labs(x = NULL, y = "Normalized Enrichment Score (NES)") +
theme_classic(base_size = 10)
} else {
cat("No Hallmark pathways passed padj < 0.05 in any cluster.\n")
}

14. Save R objects
save(markers_all, all_fgsea_results, hallmark_results, reactome_results,
kegg_results, go_results, file = "FGSEA_SS_Malignant_CD4_results.RData")
15. Notes on using this output for cluster naming justification
FGSEA_All_Pathways_with_LeadingEdge_Genes.csv is the
primary file to cite from, since it links each pathway’s NES/FDR
directly to the specific leading-edge genes driving the signal (e.g.,
“driven by IFIT2, IFIT3, OASL”).
- Report NES sign and magnitude, not just significance: a large
positive NES means the pathway’s genes are concentrated toward the top
(up-regulated) end of that cluster’s ranking relative to all other
clusters.
- This FGSEA approach and your existing ORA
(
enrichGO/enrichKEGG/enrichPathway)
approach answer different questions and should be reported as
complementary, not interchangeable: ORA asks “are my top marker genes
overrepresented in a pathway?”; FGSEA asks “is a pathway’s gene set
skewed toward the top of my full ranked list for this cluster?”
Reporting both, when they agree, is stronger evidence than either
alone.
16. Session Info
R version 4.5.3 (2026-03-11)
Platform: x86_64-redhat-linux-gnu
Running under: Rocky Linux 9.7 (Blue Onyx)
Matrix products: default
BLAS/LAPACK: FlexiBLAS OPENBLAS-OPENMP; LAPACK version 3.9.0
locale:
[1] LC_CTYPE=C.UTF-8 LC_NUMERIC=C LC_TIME=C.UTF-8 LC_COLLATE=C.UTF-8 LC_MONETARY=C.UTF-8 LC_MESSAGES=C.UTF-8 LC_PAPER=C.UTF-8
[8] LC_NAME=C LC_ADDRESS=C LC_TELEPHONE=C LC_MEASUREMENT=C.UTF-8 LC_IDENTIFICATION=C
time zone: Europe/Paris
tzcode source: system (glibc)
attached base packages:
[1] stats4 parallel stats graphics grDevices utils datasets methods base
other attached packages:
[1] msigdbr_26.1.0 fgsea_1.36.2 future_1.70.0 igraph_2.3.2 pheatmap_1.0.13 scales_1.4.0
[7] ggrepel_0.9.8 ggridges_0.5.7 viridis_0.6.5 viridisLite_0.4.3 RColorBrewer_1.1-3 SeuratWrappers_0.4.0
[13] monocle3_1.4.26 SingleCellExperiment_1.32.0 SummarizedExperiment_1.40.0 GenomicRanges_1.62.1 Seqinfo_1.0.0 IRanges_2.44.0
[19] S4Vectors_0.48.1 MatrixGenerics_1.22.0 matrixStats_1.5.0 Biobase_2.70.0 BiocGenerics_0.56.0 generics_0.1.4
[25] CytoTRACE2_1.1.0 RSpectra_0.16-2 Rfast_2.1.5.2 RcppParallel_5.1.11-2 zigg_0.0.2 Rcpp_1.1.1-1.1
[31] plyr_1.8.9 Matrix_1.7-5 magrittr_2.0.5 HiClimR_2.2.1 doParallel_1.0.17 iterators_1.0.14
[37] foreach_1.5.2 data.table_1.18.4 patchwork_1.3.2 SCpubr_3.0.1 cowplot_1.2.0 lubridate_1.9.5
[43] forcats_1.0.1 stringr_1.6.0 dplyr_1.2.1 purrr_1.2.2 readr_2.2.0 tidyr_1.3.2
[49] tibble_3.3.1 tidyverse_2.0.0 plotly_4.12.0 ggplot2_4.0.3 Seurat_5.5.0 SeuratObject_5.4.0
[55] sp_2.2-1
loaded via a namespace (and not attached):
[1] RcppAnnoy_0.0.23 splines_4.5.3 later_1.4.8 R.oo_1.27.1 polyclip_1.10-7 fastDummies_1.7.6 lifecycle_1.0.5
[8] Rdpack_2.6.6 globals_0.19.1 lattice_0.22-9 MASS_7.3-65 sass_0.4.10 limma_3.66.0 rmarkdown_2.31
[15] jquerylib_0.1.4 yaml_2.3.12 remotes_2.5.0 httpuv_1.6.17 otel_0.2.0 sctransform_0.4.3 spam_2.11-4
[22] spatstat.sparse_3.2-0 reticulate_1.46.0 pbapply_1.7-4 minqa_1.2.8 abind_1.4-8 Rtsne_0.17 presto_1.0.0
[29] R.utils_2.13.0 irlba_2.3.7 listenv_0.10.1 spatstat.utils_3.2-3 goftest_1.2-3 spatstat.random_3.5-0 fitdistrplus_1.2-6
[36] parallelly_1.47.0 ncdf4_1.24 codetools_0.2-20 DelayedArray_0.36.1 tidyselect_1.2.1 farver_2.1.2 lme4_2.0-1
[43] spatstat.explore_3.8-1 jsonlite_2.0.0 progressr_0.19.0 survival_3.8-6 systemfonts_1.3.2 tools_4.5.3 ragg_1.5.2
[50] ica_1.0-3 glue_1.8.1 gridExtra_2.3 SparseArray_1.10.10 xfun_0.58 withr_3.0.2 BiocManager_1.30.27
[57] fastmap_1.2.0 boot_1.3-32 digest_0.6.39 rsvd_1.0.5 timechange_0.4.0 R6_2.6.1 mime_0.13
[64] textshaping_1.0.5 scattermore_1.2 tensor_1.5.1 dichromat_2.0-0.1 spatstat.data_3.1-9 R.methodsS3_1.8.2 utf8_1.2.6
[71] httr_1.4.8 htmlwidgets_1.6.4 S4Arrays_1.10.1 uwot_0.2.4 pkgconfig_2.0.3 gtable_0.3.6 rsconnect_1.10.0
[78] lmtest_0.9-40 S7_0.2.2 XVector_0.50.0 htmltools_0.5.9 dotCall64_1.2 png_0.1-9 spatstat.univar_3.2-0
[85] reformulas_0.4.4 knitr_1.51 rstudioapi_0.19.0 tzdb_0.5.0 reshape2_1.4.5 curl_7.1.0 nlme_3.1-169
[92] nloptr_2.2.1 cachem_1.1.0 zoo_1.8-15 KernSmooth_2.23-26 miniUI_0.1.2 pillar_1.11.1 grid_4.5.3
[99] vctrs_0.7.3 RANN_2.6.2 promises_1.5.0 xtable_1.8-8 cluster_2.1.8.2 evaluate_1.0.5 cli_3.6.6
[106] compiler_4.5.3 rlang_1.2.0 future.apply_1.20.2 labeling_0.4.3 stringi_1.8.7 BiocParallel_1.44.0 deldir_2.0-4
[113] babelgene_22.9 assertthat_0.2.1 lazyeval_0.2.3 spatstat.geom_3.8-1 RcppHNSW_0.7.0 hms_1.1.4 statmod_1.5.2
[120] shiny_1.13.0 rbibutils_2.4.1 ROCR_1.0-12 bslib_0.11.0 fastmatch_1.1-8
---
title: "FGSEA Analysis of Malignant CD4 T-cell States (all) in Sezary Syndrome"
author: "Nasir Mahmood Abbasi"
date: "`r Sys.Date()`"
output:
  html_notebook:
    toc: yes
    toc_float: yes
    toc_collapsed: yes
    theme: flatly
    highlight: tango
  html_document:
    toc: yes
    toc_float: yes
    df_print: paged
  word_document:
    toc: yes
  pdf_document:
    toc: yes
---

# Overview

This R Markdown performs FGSEA-based pathway characterization of malignant CD4+ T-cell
clusters, using the *entire* ranked differential expression output per cluster (not a
top-N marker subset). This is a methodological correction relative to an earlier
top100-based FGSEA attempt: FGSEA's permutation-based null distribution requires a
full ranked gene list to be statistically valid. Restricting FGSEA to a short marker
list is the reason that earlier run was underpowered; over-representation analysis
(ORA) remains the correct tool for short, fixed marker-gene lists, while FGSEA is the
correct tool here because the *entire* transcriptome per cluster is being ranked.

The workflow:

1. Identify cluster-specific differential expression using Seurat `FindAllMarkers`,
   retaining all tested genes (no `logfc.threshold`/top-N filtering).
2. Rank genes per cluster using a composite statistic combining effect size and
   statistical confidence, with an explicit floor on p-values to avoid infinite ranks.
3. Run FGSEA against Hallmark, Reactome, KEGG, and GO:BP gene sets.
4. Export enrichment tables including NES, p-value, adjusted p-value, and leading-edge
   genes -- the genes actually driving each enrichment signal.


# 1. Load packages

```{r setup, message=FALSE, warning=FALSE}

library(Seurat)
library(dplyr)
library(fgsea)
library(msigdbr)
library(ggplot2)
library(tibble)
library(stringr)

set.seed(123)
```





# 2. Load Seurat object

Load your integrated malignant CD4+ T-cell Seurat object.

```{r}

# Example:
All_samples_Merged <- readRDS("../../1-Seurat_RDS_OBJECT_FINAL/All_samples_Merged_with_Renamed_Clusters_Cell_state-03-12-2025.rds.rds")

All_samples_Merged

DefaultAssay(All_samples_Merged)

Idents(All_samples_Merged) <- "seurat_clusters"

Idents(All_samples_Merged)

```

# 3. Differential expression analysis

All genes are retained for FGSEA.

No top-100 filtering is applied.

All tested genes are retained for FGSEA -- no top-N filtering, since FGSEA requires
a full ranked list rather than a short marker set.


```{r}

markers_all <- FindAllMarkers(
  object = All_samples_Merged,
  only.pos = FALSE,
  min.pct = 0.1,
  logfc.threshold = 0
)


head(markers_all)

```

# 4. Generate ranking statistic

The ranking combines expression effect size and statistical confidence:

\[
Score = sign(avg\_log2FC) \times |avg\_log2FC| \times \sqrt{-log10(p_{adj})}
\]

**Fix applied:** in large single-cell datasets, `p_val_adj` is frequently exactly 0
due to very large cell numbers, which makes `-log10(p_val_adj) = Inf` for many genes
simultaneously. Replacing all of those with the single maximum finite rank (as in the
original script) collapses many genes to an identical tied value, destroying the
relative ordering FGSEA depends on. Instead, a numerical floor is applied to
`p_val_adj` *before* the log transform, preserving relative differences between
highly significant genes.

```{r ranking-statistic}
p_floor <- min(markers_all$p_val_adj[markers_all$p_val_adj > 0], na.rm = TRUE) / 10

markers_all <- markers_all %>%
  mutate(
    p_val_adj_floored = ifelse(p_val_adj == 0, p_floor, p_val_adj),
    fgsea_rank = sign(avg_log2FC) * abs(avg_log2FC) * sqrt(-log10(p_val_adj_floored))
  )

sum(is.infinite(markers_all$fgsea_rank))
sum(markers_all$p_val_adj == 0)
```

# 5. Prepare pathway databases

```{r pathway-databases}

library(msigdbr)

msigdbr_species <- "Homo sapiens"


# -------------------------
# Hallmark pathways
# -------------------------

hallmark_sets <- msigdbr(
  species = msigdbr_species,
  collection = "H"
)

hallmark_sets <- split(
  hallmark_sets$gene_symbol,
  hallmark_sets$gs_name
)



# -------------------------
# Reactome pathways
# -------------------------

reactome_sets <- msigdbr(
  species = msigdbr_species,
  collection = "C2",
  subcollection = "CP:REACTOME"
)

reactome_sets <- split(
  reactome_sets$gene_symbol,
  reactome_sets$gs_name
)



# -------------------------
# KEGG pathways
# -------------------------

kegg_sets <- msigdbr(
  species = msigdbr_species,
  collection = "C2",
  subcollection = "CP:KEGG_LEGACY"
)

kegg_sets <- split(
  kegg_sets$gene_symbol,
  kegg_sets$gs_name
)



# -------------------------
# GO Biological Process
# -------------------------

go_sets <- msigdbr(
  species = msigdbr_species,
  collection = "C5",
  subcollection = "GO:BP"
)

go_sets <- split(
  go_sets$gene_symbol,
  go_sets$gs_name
)


# Check pathway numbers

length(hallmark_sets)
length(reactome_sets)
length(kegg_sets)
length(go_sets)

```

Note: if your installed `msigdbr` version is >= 10.0, the `category`/`subcategory`
arguments have been renamed to `collection`/`subcollection`. If the chunk above errors
with "unused argument", replace `category =` with `collection =` and
`subcategory =` with `subcollection =` throughout this section.

# 6. FGSEA function

```{r fgsea-function}
run_fgsea_cluster <- function(cluster_id, markers, pathways) {

  message("Running cluster: ", cluster_id)

  cluster_markers <- markers %>% dplyr::filter(cluster == cluster_id)

  ranks <- cluster_markers$fgsea_rank
  names(ranks) <- cluster_markers$gene

  ranks <- ranks[!duplicated(names(ranks))]
  ranks <- ranks[!is.na(ranks) & !is.infinite(ranks)]
  ranks <- sort(ranks, decreasing = TRUE)

  fgsea_result <- fgsea(
    pathways = pathways,
    stats = ranks,
    minSize = 15,
    maxSize = 500,
    eps = 0
  )

  fgsea_result <- as.data.frame(fgsea_result)

  fgsea_result$leadingEdge_genes <- sapply(
    fgsea_result$leadingEdge,
    function(x) paste(x, collapse = ", ")
  )

  fgsea_result$cluster <- cluster_id
  fgsea_result$n_genes_ranked <- length(ranks)

  return(fgsea_result)
}
```

# 7. Define clusters

```{r define-clusters}
clusters <- sort(unique(markers_all$cluster))
clusters
```

# 8. Run FGSEA across all four databases

```{r run-fgsea-all}
hallmark_results <- bind_rows(lapply(clusters, run_fgsea_cluster,
                                      markers = markers_all, pathways = hallmark_sets))
hallmark_results$database <- "Hallmark"

reactome_results <- bind_rows(lapply(clusters, run_fgsea_cluster,
                                      markers = markers_all, pathways = reactome_sets))
reactome_results$database <- "Reactome"

kegg_results <- bind_rows(lapply(clusters, run_fgsea_cluster,
                                  markers = markers_all, pathways = kegg_sets))
kegg_results$database <- "KEGG"

go_results <- bind_rows(lapply(clusters, run_fgsea_cluster,
                                markers = markers_all, pathways = go_sets))
go_results$database <- "GO_BP"
```

# 9. Combine all databases

```{r combine-results}
all_fgsea_results <- bind_rows(hallmark_results, reactome_results, kegg_results, go_results)

all_fgsea_results <- all_fgsea_results %>%
  dplyr::select(cluster, database, pathway, NES, pval, padj, size,
                n_genes_ranked, leadingEdge_genes) %>%
  dplyr::arrange(cluster, padj)

head(all_fgsea_results)
```

# 10. Export complete FGSEA table

```{r export-all}
write.csv(all_fgsea_results, "FGSEA_All_Pathways_with_LeadingEdge_Genes.csv", row.names = FALSE)
```

# 11. Significant pathways

```{r export-significant}
significant_fgsea <- all_fgsea_results %>% dplyr::filter(padj < 0.05)
write.csv(significant_fgsea, "FGSEA_Significant_Pathways.csv", row.names = FALSE)
```

# 12. Top pathways per cluster

```{r top-pathways}
top_pathways <- all_fgsea_results %>%
  dplyr::group_by(cluster) %>%
  dplyr::arrange(padj) %>%
  dplyr::slice_head(n = 10)

write.csv(top_pathways, "FGSEA_Top10_Pathways_Per_Cluster.csv", row.names = FALSE)
top_pathways
```

# 13. Plot Hallmark enrichment per cluster

```{r plot-hallmark, fig.width=18, fig.height=8}
plot_data <- hallmark_results %>%
  dplyr::filter(padj < 0.05) %>%
  dplyr::group_by(cluster) %>%
  dplyr::slice_max(order_by = abs(NES), n = 5)

if (nrow(plot_data) > 0) {
  ggplot(plot_data, aes(x = reorder(pathway, NES), y = NES, fill = NES > 0)) +
    geom_col() +
    facet_wrap(~cluster, scales = "free") +
    coord_flip() +
    scale_fill_manual(values = c("TRUE" = "#B2182B", "FALSE" = "#4393C3"), guide = "none") +
    labs(x = NULL, y = "Normalized Enrichment Score (NES)") +
    theme_classic(base_size = 10)
} else {
  cat("No Hallmark pathways passed padj < 0.05 in any cluster.\n")
}
```

# 14. Save R objects

```{r save-objects}
save(markers_all, all_fgsea_results, hallmark_results, reactome_results,
     kegg_results, go_results, file = "FGSEA_SS_Malignant_CD4_results.RData")
```

# 15. Notes on using this output for cluster naming justification

- `FGSEA_All_Pathways_with_LeadingEdge_Genes.csv` is the primary file to cite from,
  since it links each pathway's NES/FDR directly to the specific leading-edge genes
  driving the signal (e.g., "driven by IFIT2, IFIT3, OASL").
- Report NES sign and magnitude, not just significance: a large positive NES means
  the pathway's genes are concentrated toward the top (up-regulated) end of that
  cluster's ranking relative to all other clusters.
- This FGSEA approach and your existing ORA (`enrichGO`/`enrichKEGG`/`enrichPathway`)
  approach answer different questions and should be reported as complementary, not
  interchangeable: ORA asks "are my top marker genes overrepresented in a pathway?";
  FGSEA asks "is a pathway's gene set skewed toward the top of my full ranked list for
  this cluster?" Reporting both, when they agree, is stronger evidence than either
  alone.
  
# 16. Session Info

```{r session-info}
sessionInfo()
```