1. load libraries

2. Nice function to easily draw a graph:

3. Reading data

All_samples_Merged <- readRDS("../../0-Seurat_RDS_OBJECT_FINAL/All_samples_Merged_with_STCAT_and_renamed_FINAL.rds")

# Define some color palette
pal <- c(scales::hue_pal()(8), RColorBrewer::brewer.pal(9, "Set1"), RColorBrewer::brewer.pal(8, "Set2"))
set.seed(1)
pal <- rep(sample(pal, length(pal)), 200)

📌 Step 1: Load PAGA embedding and match cells

📌 Step 2: Add PAGA UMAP as a new reduction in Seurat

📌 Step 3: Add Leiden cluster info to metadata

4. Trajectory inference using Slingshot

Let’s visualize which clusters we have in our dataset:


vars <- c("Patient_origin", "orig.ident", "leiden", "Phase")
pl <- list()

for (i in vars) {
  pl[[i]] <- DimPlot(obj, group.by = i, label = T) + theme_void() + NoLegend()
}
wrap_plots(pl)


table(obj$leiden)

   0    1    2    3    4    5    6    7    8    9   10   11   12   13   14   15   16   17 
7140 5705 5289 4709 4389 3835 3702 3308 2904 1944 1497 1268 1262  956  623  500  247   27 

5. Exploring the data


vars <- c("TOX", "LAG3", "CTLA4", "TIGIT", "FOXP3", "IL2RA", "CTLA4", "IKZF2", "TIGIT", "CCR7", "SELL", "IL7R", "TCF7", "CCR7", "SELL", "IL7R", "TCF7", "LEF1", "GZMB", "PRF1", "IFNG", "KLRG1", "CD69", "CXCR6", "PRF1", "GZMB", "NKG7", "GNLY", "ISG15", "IFI6", "IFIT3", "MX1", "MKI67", "TOP2A", "STAT3", "AHR", "CCR6", "BATF", "PTPRC", "GZMB", "BCL6", "ICOS", "HSPA1A", "ATF3", "IL2RA", "CD69", "HLA-DRA", "CD34")
pl <- list()

pl <- list(DimPlot(obj, group.by = "leiden", label = T) + theme_void() + NoLegend())
for (i in vars) {
  pl[[i]] <- FeaturePlot(obj, features = i, order = T) + theme_void() + NoLegend()
}
Warning: The `slot` argument of `FetchData()` is deprecated as of SeuratObject 5.0.0.
Please use the `layer` argument instead.
wrap_plots(pl)

NA
NA

6. compute the lineages on these dataset

# Define lineage ends
ENDS <- c("2", "6", "8")

set.seed(1)
lineages <- as.SlingshotDataSet(getLineages(
  data           = obj@reductions$paga@cell.embeddings,
  clusterLabels  = obj$leiden,
  dist.method    = "mnn", # It can be: "simple", "scaled.full", "scaled.diag", "slingshot" or "mnn"
  end.clus       = ENDS, # You can also define the ENDS!
  start.clus     = "3"
)) # define where to START the trajectories
Warning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observationsWarning: 'k' capped at the number of observations
# IF NEEDED, ONE CAN ALSO MANULALLY EDIT THE LINEAGES, FOR EXAMPLE:
# sel <- sapply( lineages@lineages, function(x){rev(x)[1]} ) %in% ENDS
# lineages@lineages <- lineages@lineages[ sel ]
# names(lineages@lineages) <- paste0("Lineage",1:length(lineages@lineages))
# lineages


# Change the reduction to our "fixed" UMAP2d (FOR VISUALISATION ONLY)
lineages@reducedDim <- obj@reductions$paga@cell.embeddings

{
  plot(obj@reductions$paga@cell.embeddings, col = pal[obj$leiden], cex = .5, pch = 16)
  lines(lineages, lwd = 1, col = "black", cex = 2)
  text(centroids2d, labels = rownames(centroids2d), cex = 0.8, font = 2, col = "white")
}

Defining Principal Curves


# Define curves
curves <- as.SlingshotDataSet(getCurves(
  data          = lineages,
  thresh        = 1e-1,
  stretch       = 1e-1,
  allow.breaks  = F,
  approx_points = 100
))


# Plots
{
  plot(obj@reductions$paga@cell.embeddings, col = pal[obj$leiden], pch = 16)
  lines(curves, lwd = 2, col = "black")
  text(centroids2d, labels = levels(obj$leiden), cex = 1, font = 2)
}

compute the differentiation pseudotime


pseudotime <- slingPseudotime(curves, na = FALSE)
cellWeights <- slingCurveWeights(curves)

x <- rowMeans(pseudotime)
x <- x / max(x)
o <- order(x)

{
  plot(obj@reductions$paga@cell.embeddings[o, ],
    main = paste0("pseudotime"), pch = 16, cex = 0.4, axes = F, xlab = "", ylab = "",
    col = colorRampPalette(c("grey70", "orange3", "firebrick", "purple4"))(99)[x[o] * 98 + 1]
  )
  points(centroids2d, cex = 2.5, pch = 16, col = "#FFFFFF99")
  text(centroids2d, labels = levels(obj$leiden), cex = 1, font = 2)
}

7. Finding differentially expressed genes


sel_cells <- split(colnames(obj@assays$SCT@data), obj$leiden)
sel_cells <- unlist(lapply(sel_cells, function(x) {
  set.seed(1)
  return(sample(x, 20))
}))

gv <- as.data.frame(na.omit(scran::modelGeneVar(obj@assays$SCT@data[, sel_cells])))
Warning: collapsing to unique 'x' values
gv <- gv[order(gv$bio, decreasing = T), ]
sel_genes <- sort(rownames(gv)[1:500])

path_file <- "/home/bioinfo/data/trajectory/seurat_scegam.rds"

# fetch_data is defined at the top of this document
sceGAM <- fitGAM(
  counts = drop0(obj@assays$SCT@data[sel_genes, sel_cells]),
  pseudotime = pseudotime[sel_cells, ],
  cellWeights = cellWeights[sel_cells, ],
  nknots = 5, verbose = TRUE, parallel = TRUE, sce = TRUE,
  BPPARAM = BiocParallel::MulticoreParam()
)
Warning: Impossible to place a knot at all endpoints.Increase the number of knots to avoid this issue.

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plotGeneCount(curves, clusters = obj$leiden, models = sceGAM)



lineages
class: SlingshotDataSet 

lineages: 7 
Lineage1: 3  7  13  9  10  12  0  4  16  
Lineage2: 3  7  13  9  10  12  5  11  8  
Lineage3: 3  7  13  9  10  12  0  14  
Lineage4: 3  7  13  9  10  12  5  2  
Lineage5: 3  7  13  9  10  12  15  
Lineage6: 3  7  13  9  1  6  
Lineage7: 3  17  

curves: 0 
lc <- sapply(lineages@lineages, function(x) {
  rev(x)[1]
})
names(lc) <- gsub("Lineage", "L", names(lc))
lc.idx = match(lc, levels(obj$leiden))

{
  plot(obj@reductions$paga@cell.embeddings, col = pal[obj$leiden], pch = 16)
  lines(curves, lwd = 2, col = "black")
  points(centroids2d[lc.idx, ], col = "black", pch = 16, cex = 4)
  text(centroids2d[lc.idx, ], labels = names(lc), cex = 1, font = 2, col = "white")
}

NA
NA
NA
NA

Genes that change with pseudotime


set.seed(8)
res <- na.omit(associationTest(sceGAM, contrastType = "consecutive"))
res <- res[res$pvalue < 1e-3, ]
res <- res[res$waldStat > mean(res$waldStat), ]
res <- res[order(res$waldStat, decreasing = T), ]
res[1:10, ]
NA

We can plot their expression


par(mfrow = c(4, 4), mar = c(.1, .1, 2, 1))
{
  plot(obj@reductions$paga@cell.embeddings, col = pal[obj$leiden], cex = .5, pch = 16, axes = F, xlab = "", ylab = "")
  lines(curves, lwd = 2, col = "black")
  points(centroids2d[lc.idx, ], col = "black", pch = 15, cex = 3, xpd = T)
  text(centroids2d[lc.idx, ], labels = names(lc), cex = 1, font = 2, col = "white", xpd = T)
}


vars <- rownames(res[1:15, ])
vars <- na.omit(vars[vars != "NA"])

for (i in vars) {
  x <- drop0(obj@assays$SCT@data)[i, ]
  x <- (x - min(x)) / (max(x) - min(x))
  o <- order(x)
  plot(obj@reductions$paga@cell.embeddings[o, ],
    main = paste0(i), pch = 16, cex = 0.5, axes = F, xlab = "", ylab = "",
    col = colorRampPalette(c("lightgray", "grey60", "navy"))(99)[x[o] * 98 + 1]
  )
}
Error in .subscript.2ary(x, i, , drop = TRUE) : subscript out of bounds

Genes that change between two pseudotime points

res <- na.omit(startVsEndTest(sceGAM, pseudotimeValues = c(0, 1)))
res <- res[res$pvalue < 1e-3, ]
res <- res[res$waldStat > mean(res$waldStat), ]
res <- res[order(res$waldStat, decreasing = T), ]
res[1:10, 1:6]

identify which genes go up or down. Let’s check lineage 1:

# Get the top UP and Down regulated in lineage 1
res_lin1 <- sort(setNames(res$logFClineage1, rownames(res)))
vars <- names(c(rev(res_lin1)[1:7], res_lin1[1:8]))
vars <- na.omit(vars[vars != "NA"])

par(mfrow = c(4, 4), mar = c(.1, .1, 2, 1))

{
  plot(obj@reductions$paga@cell.embeddings, col = pal[obj$leiden], cex = .5, pch = 16, axes = F, xlab = "", ylab = "")
  lines(curves, lwd = 2, col = "black")
  points(centroids2d[lc.idx, ], col = "black", pch = 15, cex = 3, xpd = T)
  text(centroids2d[lc.idx, ], labels = names(lc), cex = 1, font = 2, col = "white", xpd = T)
}

for (i in vars) {
  x <- drop0(obj@assays$SCT@data)[i, ]
  x <- (x - min(x)) / (max(x) - min(x))
  o <- order(x)
  plot(obj@reductions$paga@cell.embeddings[o, ],
    main = paste0(i), pch = 16, cex = 0.5, axes = F, xlab = "", ylab = "",
    col = colorRampPalette(c("lightgray", "grey60", "navy"))(99)[x[o] * 98 + 1]
  )
}

Genes that are different between lineages

res <- na.omit(diffEndTest(sceGAM))
res <- res[res$pvalue < 1e-3, ]
res <- res[res$waldStat > mean(res$waldStat), ]
res <- res[order(res$waldStat, decreasing = T), ]
res[1:10, ]
NA

pairwise comparison between each lineage. Let’s check lineage 1 vs lineage 2:

# Get the top UP and Down regulated in lineage 1 vs 2
res_lin1_2 <- sort(setNames(res$logFC1_2, rownames(res)))
vars <- names(c(rev(res_lin1_2)[1:7], res_lin1_2[1:8]))
vars <- na.omit(vars[vars != "NA"])

par(mfrow = c(4, 4), mar = c(.1, .1, 2, 1))
{
  plot(obj@reductions$paga@cell.embeddings, col = pal[obj$leiden], cex = .5, pch = 16, axes = F, xlab = "", ylab = "")
  lines(curves, lwd = 2, col = "black")
  points(centroids2d[lc.idx, ], col = "black", pch = 15, cex = 3, xpd = T)
  text(centroids2d[lc.idx, ], labels = names(lc), cex = 1, font = 2, col = "white", xpd = T)
}

for (i in vars) {
  x <- drop0(obj@assays$SCT@data)[i, ]
  x <- (x - min(x)) / (max(x) - min(x))
  o <- order(x)
  plot(obj@reductions$paga@cell.embeddings[o, ],
    main = paste0(i), pch = 16, cex = 0.5, axes = F, xlab = "", ylab = "",
    col = colorRampPalette(c("lightgray", "grey60", "navy"))(99)[x[o] * 98 + 1]
  )
}

---
title: "Trajectory inference using Slingshot using PAGA embeddings"
author: Nasir Mahmood Abbasi
date: "`r Sys.Date()`"
output:
  #rmdformats::readthedown
  html_notebook:
    toc: true
    toc_float: true
    toc_collapsed: true
---

# 1. load libraries
```{r, include=FALSE}
suppressPackageStartupMessages({
  library(Seurat)
  library(plotly)
  options(rgl.printRglwidget = TRUE)
  library(Matrix)
  library(sparseMatrixStats)
  library(slingshot)
  library(tradeSeq)
  library(patchwork)
})


```

# 2. Nice function to easily draw a graph:
```{r, include=FALSE}
# Add graph to the base R graphics plot
draw_graph <- function(layout, graph, lwd = 0.2, col = "grey") {
  res <- rep(x = 1:(length(graph@p) - 1), times = (graph@p[-1] - graph@p[-length(graph@p)]))
  segments(
    x0 = layout[graph@i + 1, 1], x1 = layout[res, 1],
    y0 = layout[graph@i + 1, 2], y1 = layout[res, 2], lwd = lwd, col = col
  )
}
```

# 3. Reading data
```{r}
All_samples_Merged <- readRDS("../../0-Seurat_RDS_OBJECT_FINAL/All_samples_Merged_with_STCAT_and_renamed_FINAL.rds")

# Define some color palette
pal <- c(scales::hue_pal()(8), RColorBrewer::brewer.pal(9, "Set1"), RColorBrewer::brewer.pal(8, "Set2"))
set.seed(1)
pal <- rep(sample(pal, length(pal)), 200)

```

## 📌 Step 1: Load PAGA embedding and match cells
```{r, include=FALSE}
# Read embedding CSV file
embedding_df <- read.csv("paga_embedding_for_seurat_slingshot.csv")

# Set rownames to barcode for matching
rownames(embedding_df) <- embedding_df$barcode

# Subset embedding to only cells present in your Seurat object
embedding_df <- embedding_df[Cells(All_samples_Merged), ]

# Check if all cells matched correctly
if(!all(Cells(All_samples_Merged) %in% rownames(embedding_df))) {
  warning("Some cells in All_samples_Merged are missing in embedding data!")
}

```


## 📌 Step 2: Add PAGA UMAP as a new reduction in Seurat
```{r, include=FALSE}
library(Seurat)

# Only the embedding coordinates
paga_embedding <- as.matrix(embedding_df[, c("PAGA_UMAP_1", "PAGA_UMAP_2")])

# Add to Seurat
All_samples_Merged[["paga"]] <- CreateDimReducObject(
  embeddings = paga_embedding,
  key = "PAGA_",
  assay = DefaultAssay(All_samples_Merged)
)

```


## 📌 Step 3: Add Leiden cluster info to metadata
```{r, include=FALSE}
## Add leiden cluster from CSV to metadata
All_samples_Merged$leiden <- embedding_df[Cells(All_samples_Merged), "leiden"]

```


# 4. Trajectory inference using Slingshot
```{r, echo=FALSE}
# obj <- All_samples_Merged
# 
# rm(All_samples_Merged)
# 
# gc()

# Calculate cluster centroids (for plotting the labels later)
mm <- sparse.model.matrix(~ 0 + factor(obj$leiden))
colnames(mm) <- levels(factor(obj$leiden))
centroids2d <- as.matrix(t(t(obj@reductions$paga@cell.embeddings) %*% mm) / Matrix::colSums(mm))

```


## Let’s visualize which clusters we have in our dataset:
```{r, fig.height=6, fig.width=10}

vars <- c("Patient_origin", "orig.ident", "leiden", "Phase")
pl <- list()

for (i in vars) {
  pl[[i]] <- DimPlot(obj, group.by = i, label = T) + theme_void() + NoLegend()
}
wrap_plots(pl)

table(obj$leiden)
```

# 5. Exploring the data
```{r}

vars <- c("TOX", "LAG3", "CTLA4", "TIGIT", "FOXP3", "IL2RA", "CTLA4", "IKZF2", "TIGIT", "CCR7", "SELL", "IL7R", "TCF7", "CCR7", "SELL", "IL7R", "TCF7", "LEF1", "GZMB", "PRF1", "IFNG", "KLRG1", "CD69", "CXCR6", "PRF1", "GZMB", "NKG7", "GNLY", "ISG15", "IFI6", "IFIT3", "MX1", "MKI67", "TOP2A", "STAT3", "AHR", "CCR6", "BATF", "PTPRC", "GZMB", "BCL6", "ICOS", "HSPA1A", "ATF3", "IL2RA", "CD69", "HLA-DRA", "CD34")
pl <- list()

pl <- list(DimPlot(obj, group.by = "leiden", label = T) + theme_void() + NoLegend())
for (i in vars) {
  pl[[i]] <- FeaturePlot(obj, features = i, order = T) + theme_void() + NoLegend()
}
wrap_plots(pl)


```
# 6. compute the lineages on these dataset
```{r}
# Define lineage ends
ENDS <- c("2", "6", "8")

set.seed(1)
lineages <- as.SlingshotDataSet(getLineages(
  data           = obj@reductions$paga@cell.embeddings,
  clusterLabels  = obj$leiden,
  dist.method    = "mnn", # It can be: "simple", "scaled.full", "scaled.diag", "slingshot" or "mnn"
  end.clus       = ENDS, # You can also define the ENDS!
  start.clus     = "3"
)) # define where to START the trajectories


# IF NEEDED, ONE CAN ALSO MANULALLY EDIT THE LINEAGES, FOR EXAMPLE:
# sel <- sapply( lineages@lineages, function(x){rev(x)[1]} ) %in% ENDS
# lineages@lineages <- lineages@lineages[ sel ]
# names(lineages@lineages) <- paste0("Lineage",1:length(lineages@lineages))
# lineages


# Change the reduction to our "fixed" UMAP2d (FOR VISUALISATION ONLY)
lineages@reducedDim <- obj@reductions$paga@cell.embeddings

{
  plot(obj@reductions$paga@cell.embeddings, col = pal[obj$leiden], cex = .5, pch = 16)
  lines(lineages, lwd = 1, col = "black", cex = 2)
  text(centroids2d, labels = rownames(centroids2d), cex = 0.8, font = 2, col = "white")
}

```

##  Defining Principal Curves
```{r}

# Define curves
curves <- as.SlingshotDataSet(getCurves(
  data          = lineages,
  thresh        = 1e-1,
  stretch       = 1e-1,
  allow.breaks  = F,
  approx_points = 100
))


# Plots
{
  plot(obj@reductions$paga@cell.embeddings, col = pal[obj$leiden], pch = 16)
  lines(curves, lwd = 2, col = "black")
  text(centroids2d, labels = levels(obj$leiden), cex = 1, font = 2)
}
```

##  compute the differentiation pseudotime
```{r}

pseudotime <- slingPseudotime(curves, na = FALSE)
cellWeights <- slingCurveWeights(curves)

x <- rowMeans(pseudotime)
x <- x / max(x)
o <- order(x)

{
  plot(obj@reductions$paga@cell.embeddings[o, ],
    main = paste0("pseudotime"), pch = 16, cex = 0.4, axes = F, xlab = "", ylab = "",
    col = colorRampPalette(c("grey70", "orange3", "firebrick", "purple4"))(99)[x[o] * 98 + 1]
  )
  points(centroids2d, cex = 2.5, pch = 16, col = "#FFFFFF99")
  text(centroids2d, labels = levels(obj$leiden), cex = 1, font = 2)
}
```
# 7. Finding differentially expressed genes
```{r}

sel_cells <- split(colnames(obj@assays$SCT@data), obj$leiden)
sel_cells <- unlist(lapply(sel_cells, function(x) {
  set.seed(1)
  return(sample(x, 20))
}))

gv <- as.data.frame(na.omit(scran::modelGeneVar(obj@assays$SCT@data[, sel_cells])))
gv <- gv[order(gv$bio, decreasing = T), ]
sel_genes <- sort(rownames(gv)[1:500])

path_file <- "/home/bioinfo/data/trajectory/seurat_scegam.rds"

# fetch_data is defined at the top of this document
sceGAM <- fitGAM(
  counts = drop0(obj@assays$SCT@data[sel_genes, sel_cells]),
  pseudotime = pseudotime[sel_cells, ],
  cellWeights = cellWeights[sel_cells, ],
  nknots = 5, verbose = TRUE, parallel = TRUE, sce = TRUE,
  BPPARAM = BiocParallel::MulticoreParam()
)



plotGeneCount(curves, clusters = obj$leiden, models = sceGAM)


lineages

lc <- sapply(lineages@lineages, function(x) {
  rev(x)[1]
})
names(lc) <- gsub("Lineage", "L", names(lc))
lc.idx = match(lc, levels(obj$leiden))

{
  plot(obj@reductions$paga@cell.embeddings, col = pal[obj$leiden], pch = 16)
  lines(curves, lwd = 2, col = "black")
  points(centroids2d[lc.idx, ], col = "black", pch = 16, cex = 4)
  text(centroids2d[lc.idx, ], labels = names(lc), cex = 1, font = 2, col = "white")
}




```








## Genes that change with pseudotime
```{r}

set.seed(8)
res <- na.omit(associationTest(sceGAM, contrastType = "consecutive"))
res <- res[res$pvalue < 1e-3, ]
res <- res[res$waldStat > mean(res$waldStat), ]
res <- res[order(res$waldStat, decreasing = T), ]
res[1:10, ]

```


## We can plot their expression
```{r}

par(mfrow = c(4, 4), mar = c(.1, .1, 2, 1))
{
  plot(obj@reductions$paga@cell.embeddings, col = pal[obj$leiden], cex = .5, pch = 16, axes = F, xlab = "", ylab = "")
  lines(curves, lwd = 2, col = "black")
  points(centroids2d[lc.idx, ], col = "black", pch = 15, cex = 3, xpd = T)
  text(centroids2d[lc.idx, ], labels = names(lc), cex = 1, font = 2, col = "white", xpd = T)
}

vars <- rownames(res[1:15, ])
vars <- na.omit(vars[vars != "NA"])

for (i in vars) {
  x <- drop0(obj@assays$SCT@data)[i, ]
  x <- (x - min(x)) / (max(x) - min(x))
  o <- order(x)
  plot(obj@reductions$paga@cell.embeddings[o, ],
    main = paste0(i), pch = 16, cex = 0.5, axes = F, xlab = "", ylab = "",
    col = colorRampPalette(c("lightgray", "grey60", "navy"))(99)[x[o] * 98 + 1]
  )
}

```



## Genes that change between two pseudotime points
```{r}
res <- na.omit(startVsEndTest(sceGAM, pseudotimeValues = c(0, 1)))
res <- res[res$pvalue < 1e-3, ]
res <- res[res$waldStat > mean(res$waldStat), ]
res <- res[order(res$waldStat, decreasing = T), ]
res[1:10, 1:6]
```
## identify which genes go up or down. Let’s check lineage 1:
```{r}
# Get the top UP and Down regulated in lineage 1
res_lin1 <- sort(setNames(res$logFClineage1, rownames(res)))
vars <- names(c(rev(res_lin1)[1:7], res_lin1[1:8]))
vars <- na.omit(vars[vars != "NA"])

par(mfrow = c(4, 4), mar = c(.1, .1, 2, 1))

{
  plot(obj@reductions$paga@cell.embeddings, col = pal[obj$leiden], cex = .5, pch = 16, axes = F, xlab = "", ylab = "")
  lines(curves, lwd = 2, col = "black")
  points(centroids2d[lc.idx, ], col = "black", pch = 15, cex = 3, xpd = T)
  text(centroids2d[lc.idx, ], labels = names(lc), cex = 1, font = 2, col = "white", xpd = T)
}

for (i in vars) {
  x <- drop0(obj@assays$SCT@data)[i, ]
  x <- (x - min(x)) / (max(x) - min(x))
  o <- order(x)
  plot(obj@reductions$paga@cell.embeddings[o, ],
    main = paste0(i), pch = 16, cex = 0.5, axes = F, xlab = "", ylab = "",
    col = colorRampPalette(c("lightgray", "grey60", "navy"))(99)[x[o] * 98 + 1]
  )
}
```

## Genes that are different between lineages
```{r}
res <- na.omit(diffEndTest(sceGAM))
res <- res[res$pvalue < 1e-3, ]
res <- res[res$waldStat > mean(res$waldStat), ]
res <- res[order(res$waldStat, decreasing = T), ]
res[1:10, ]

```

## pairwise comparison between each lineage. Let’s check lineage 1 vs lineage 2:
```{r}
# Get the top UP and Down regulated in lineage 1 vs 2
res_lin1_2 <- sort(setNames(res$logFC1_2, rownames(res)))
vars <- names(c(rev(res_lin1_2)[1:7], res_lin1_2[1:8]))
vars <- na.omit(vars[vars != "NA"])

par(mfrow = c(4, 4), mar = c(.1, .1, 2, 1))
{
  plot(obj@reductions$paga@cell.embeddings, col = pal[obj$leiden], cex = .5, pch = 16, axes = F, xlab = "", ylab = "")
  lines(curves, lwd = 2, col = "black")
  points(centroids2d[lc.idx, ], col = "black", pch = 15, cex = 3, xpd = T)
  text(centroids2d[lc.idx, ], labels = names(lc), cex = 1, font = 2, col = "white", xpd = T)
}

for (i in vars) {
  x <- drop0(obj@assays$SCT@data)[i, ]
  x <- (x - min(x)) / (max(x) - min(x))
  o <- order(x)
  plot(obj@reductions$paga@cell.embeddings[o, ],
    main = paste0(i), pch = 16, cex = 0.5, axes = F, xlab = "", ylab = "",
    col = colorRampPalette(c("lightgray", "grey60", "navy"))(99)[x[o] * 98 + 1]
  )
}
```




