spatialHeatmap 2.10.2
The primary utility of the spatialHeatmap package is the generation of spatial heatmaps (SHMs) for visualizing cell-, tissue- and organ-specific abundance patterns of biological molecules (e.g. RNAs) in spatial anatomical images (Zhang et al. 2024). This is useful for identifying biomolecules with spatially enriched/depleted abundance patterns as well as clusters and/or network modules composed of biomolecules sharing similar abundance patterns such as similar gene expression patterns. These functionalities are introduced in the main vignette of this package. The following describes extended functionalities for integrating tissue with single-cell data by co-visualizing them in composite plots that combine SHMs with embedding plots of high-dimensional data. The resulting spatial context information is important for gaining insights into the tissue-level organization of single cell data or vice versa.
The supported bulk and single-cell assay data come from most large-scale profiling technologies such as transcriptomics, proteomics, metabolomics, etc, while the corresponding anatomical images need to be supplied as annotated SVG (aSVG) images, where spatial features (e.g. tissues) are assigned unique identifiers.
To implement the co-visualization functionality, spatialHeatmap takes advantage of efficient and reusable S4 classes for both assay data and aSVGs respectively. The former includes the Bioconductor core data structures SummarizedExperiment
(SE
, Morgan et al. (2018)) and SingleCellExperiment
(SCE
, Amezquita et al. (2020)) for bulk and single-cell data respectively (Figure 1A, C). The slots
assays
, colData
, and rowData
contain expression values,
tissue/cell metadata, and biomolecule metadata respectively. For the embedding plots of single-cell data, the reduced dimensionality embedding results (PCA, UMAP or tSNE) are stored in the reducedDims
slot of SCE
.
The S4 class SVG
(Figure 1B) is developed specifically in spatialHeatmap
for storing aSVG instances. The two most important slots coordinate
and attribute
stores the aSVG feature coordinates and respective attributes (colors, line withs, etc) respectively, while other slots dimension
, svg
, and raster
stores image dimension, original aSVG instances, and raster image paths respectively. Moreover, the meta class SPHM
(Figure 1D) is developed to harmonize these data objects.
When creating co-visualization plots (Figure 1a-b), SHMs are created by mapping expression values from SE
to corresponding spatial features in SVG
through the same identifiers (here TissuesA and TissueB) between the two, and single cells in SCE
are associated with spatial features through their group labels (here TissuesA and TissueB) stored in the colData
slot.
To co-visualize bulk and single-cell data (Figure
1b), the individual cells of the single-cell data are mapped
via their group labels to the corresponding tissue features in an aSVG image. For handling cell grouping
information, five major methods are supported including (1)
existing annotation labels, (2) manual assignments, (3) marker genes, (4) clustering labels, and (5) automated co-clustering (Figure 2a). In the
annotation method, existing group labels are available and can be
uploaded and/or stored in the SCE
object, such as the SCE
instances in the scRNAseq
package (Risso and Cole 2022). The manual method allows users to create cell-tissue associations one-by-one or import
them from a tabular file. The marker-gene method utilizes known marker genes to group cells. In the clustering method, cells are clustered and grouped by clustering labels. In contrast, the automated co-clustering aims to
assign source tissues to corresponding single cells computationally by a
co-clustering method (Figure 8). This method is
experimental and requires bulk expression data that are obtained from the
tissues represented in the single-cell data.
The matching between cell groups in the embedding plots and tissue features in SHMs are indicated with four coloring schemes (Figure 2b). The first three ‘fixed-group’, ‘cell-by-group’, and ‘feature-by-group’ assign the same color for a cell group and matching tissue. The main difference is that ‘fixed-group’ uses constance colors while the latter two uses heat colors that is proportional to the numeric expression information obtained from the single cell or bulk expression data of a chosen gene. When expression values among groups are very similar, toggling between the constant and heat colors is important to track the tissue origin in the single cell data. In ‘cell-by-group’ coloring, expression values of a given gene within each cell group are summarized by mean or median, then heat colors are created from the summary values and assigned to the corresponding cells and tissues (Figure 2.1-2). In this case, the mapping direction is cell-to-tissue. The ‘feature-by-group’ coloring is similar except that heat colors are based on summary values of each tissue, and the mapping direction is tissue-to-cell. The most meaningful coloring is ‘cell-by-value’ (Figure 2.2-3). In this option, each cell and tissue is colored independently according to respective expression values of a chosen gene, so the cellular heterogeneity is reflected.
Similar to other functionalities in spatialHeatmap, these functionalities are available within R as well as the corresponding Shiny App (Chang et al. 2021).
The spatialHeatmap
package can be installed with the BiocManager::install
command.
if (!requireNamespace("BiocManager", quietly = TRUE))
install.packages("BiocManager")
BiocManager::install("spatialHeatmap")
Next, the packages required for running the sample code in this vignette need to be loaded.
library(spatialHeatmap); library(SummarizedExperiment); library(ggplot2); library(SingleCellExperiment);
library(kableExtra); library(Seurat)
The following lists the vignette(s) of this package in an HTML browser. Clicking the name of the corresponding vignette will open it.
browseVignettes('spatialHeatmap')
To reduce runtime, intermediate results can be cached under ~/.cache/shm
.
cache.pa <- '~/.cache/shm' # Set path of the cache directory
To obtain for examples with randomized data or parameters always the same results, a fixed seed is set.
set.seed(10)
This quick start example is demonstrated on ‘cell-by-group’ coloring by using a single-cell data set from oligodendrocytes of mouse brain (Marques et al. 2016), which is obtained from the scRNAseq
(Risso and Cole 2022).
The single-cell data is first pre-processed by the process_cell_meta
function that applies common QC, normalization and dimension reduction routines.
The details of these pre-processing methods are described in the corresponding
help file. Additional background information on these topics can be found in the
OSCA tutorial.
sce.pa <- system.file("extdata/shinyApp/data", "cell_mouse_brain.rds", package="spatialHeatmap")
sce <- readRDS(sce.pa)
sce.dimred.quick <- process_cell_meta(sce, qc.metric=list(subsets=list(Mt=rowData(sce)$featureType=='mito'), threshold=1))
colData(sce.dimred.quick)[1:3, 1:2]
## DataFrame with 3 rows and 2 columns
## label age
## <character> <character>
## C1.1772096.085.B10 SN.VTA p19
## C1.1772125.088.G02 corpus.callosum p22
## C1.1772099.084.C06 zona.incerta p19
The gene expression values in single-cell data
are averaged within their group labels in the label
column of colData
slot, which correspond to their source tissues.
sce.aggr.quick <- aggr_rep(sce.dimred.quick, assay.na='logcounts', sam.factor='label', aggr='mean')
The aSVG of mouse brain is imported with the function read_svg
and stored in an SVG
object svg.mus.brain
.
svg.mus.brain.pa <- system.file("extdata/shinyApp/data", "mus_musculus.brain.svg", package="spatialHeatmap")
svg.mus.brain <- read_svg(svg.mus.brain.pa)
A subset of features and related attributes are returned from svg.mus.brain
, where fill
and stroke
refer to color and line width respectively.
tail(attribute(svg.mus.brain)[[1]])[, 1:4]
## # A tibble: 6 × 4
## feature id fill stroke
## <chr> <chr> <chr> <dbl>
## 1 brainstem UBERON_0002298 none 0.05
## 2 midbrain UBERON_0001891 none 0.05
## 3 dorsal.plus.ventral.thalamus UBERON_0001897 none 0.05
## 4 hypothalamus UBERON_0001898 none 0.05
## 5 nose UBERON_0000004 none 0.05
## 6 corpora.quadrigemina UBERON_0002259 none 0.05
Due to differences in naming conventions, cell group labels and tissue labels are often programatically different. To match the two, a list
with named components is used, where cell labels are in name slots and tissue features are corresponding list
elements (translation map). This is a general approach for ensuring cell group labels and tissue labels are programmatically matched. Note, in the cell-to-tisssue mapping, each cell label can be matched to multiple aSVG features but not vice versa.
lis.match.quick <- list(hypothalamus=c('hypothalamus'), cortex.S1=c('cerebral.cortex', 'nose'))
For efficient data management and reusability, the data objects for co-visualization are stored in an SPHM
container.
dat.quick <- SPHM(svg=svg.mus.brain, bulk=sce.aggr.quick, cell=sce.dimred.quick, match=lis.match.quick)
The co-visualization plot is created with gene Apod
using the function covis
. In the embedding plot, the hypothalamus
and cortex.S1
cells are colored according to their respecitive aggregated expression values of Apod
. In the SHM plot, aSVG features are assigned the same color as the matching cells defined in lis.match.quick
. The cell.group
argument refers to cell group labels in the colData
slot of sce.aggr.quick
, tar.cell
specifies the target cell groups to show, and dimred
specifies the embeddings.
shm.res.quick <- covis(data=dat.quick, ID=c('Apod'), dimred='UMAP', cell.group='label', tar.cell=names(lis.match.quick), assay.na='logcounts', bar.width=0.09, dim.lgd.nrow=2, legend.r=1.5, legend.key.size=0.02, legend.text.size=10, legend.nrow=4, h=0.6, verbose=FALSE)
This section showcases different cell grouping methods (Figure 2a) and coloring options (Figure 2b) for co-visualizing SHMs with single-cell embedding plots. As the cell grouping methods of annotation labels, clustering, manual assignments, and marker genes are very similar, this section only demonstrates the methods of annotation labels as well as automated co-clustering. The clustering/manual assignments are shown in the Supplementary Section. The ‘cell-by-group’ coloring is already showcased in the Quick Start, thus this section focuses on the other three coloring options. In addition, the co-visualization functioinality is demonstrated with patially resolved single-cell (SRSC) data.
To obtain reproducible results, a fixed seed is set for generating random numbers.
set.seed(10)
This section demonstrates the co-visualization plots created with annotation labels and ‘feature-by-group’ coloring. The single-cell data are stored in an SCE
object downloaded from the scRNAseq
package (Risso and Cole 2022), which is the same as the Quick Start (sce
). The annotation labels are stored in the label
column of the colData
slot and partially shown below.
colData(sce)[1:3, 1:2]
## DataFrame with 3 rows and 2 columns
## label age
## <character> <character>
## C1.1772096.085.B10 SN.VTA p19
## C1.1772125.088.G02 corpus.callosum p22
## C1.1772099.084.C06 zona.incerta p19
The bulk RNA-seq data are modified from a research on mouse cerebellar development (Vacher et al. 2021) and are imported in an SE
object, which are partially shown below. Note, replicates
are indicated by the same tissue names (e.g. cerebral.cortex
).
blk.mus.pa <- system.file("extdata/shinyApp/data", "bulk_mouse_cocluster.rds", package="spatialHeatmap")
blk.mus <- readRDS(blk.mus.pa)
assay(blk.mus)[1:3, 1:5]
## cerebral.cortex hippocampus hypothalamus cerebellum cerebral.cortex
## AI593442 177 256 50 24 285
## Actr3b 513 1465 228 244 666
## Adcy1 701 1243 57 1910 836
colData(blk.mus)[1:3, , drop=FALSE]
## DataFrame with 3 rows and 1 column
## tissue
## <character>
## cerebral.cortex cerebral.cortex
## hippocampus hippocampus
## hypothalamus hypothalamus
Bulk and single cell data are jointly normalized and subsequently separated.
mus.ann.nor <- read_cache(cache.pa, 'mus.ann.nor')
if (is.null(mus.ann.nor)) {
# Joint normalization.
mus.lis.nor <- norm_cell(sce=sce, bulk=blk.mus, quick.clus=list(min.size = 100, d=15), com=FALSE)
save_cache(dir=cache.pa, overwrite=TRUE, mus.ann.nor)
}
## Cache directory: ~/.cache/shm
## [1] "~/.cache/shm"
# Separate bulk and cell data.
blk.mus.nor <- mus.lis.nor$bulk
cell.mus.nor <- mus.lis.nor$cell
colData(cell.mus.nor) <- colData(sce)
In normalized single-cell data, dimension reductions are performed with PAC, UMAP, and TSNE methods respectively, then single cells are plotted at the TSNE dimensions, where cells are represented by dots and are colored by the annotation labels (color.by="label"
).
cell.dim <- reduce_dim(cell.mus.nor, min.dim=5)
## "prop" is set 1 in "getTopHVGs" due to too less genes.
plot_dim(cell.dim, color.by="label", dim='UMAP')
In normalized bulk data, expression values for each gene are summarized by mean across tissue replicates (here aggr='mean'
).
# Aggregation.
blk.mus.aggr <- aggr_rep(blk.mus.nor, sam.factor='sample', aggr='mean')
assay(blk.mus.aggr)[1:2, ]
The aSVG instance of mouse brain from the Quick Start is used. Partial of the aSVG features are shown.
tail(attribute(svg.mus.brain)[[1]])[1:3, 1:4]
## # A tibble: 3 × 4
## feature id fill stroke
## <chr> <chr> <chr> <dbl>
## 1 brainstem UBERON_0002298 none 0.05
## 2 midbrain UBERON_0001891 none 0.05
## 3 dorsal.plus.ventral.thalamus UBERON_0001897 none 0.05
Following the same conventions in the main vignette, at least one tissue in bulk data should have the same identifier with an aSVG feature so as to create SHM.
colnames(blk.mus) %in% attribute(svg.mus.brain)[[1]]$feature
## [1] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
Same with the Quick Start, a translation list
is used to match cell group and tissue labels. In ‘feature-by-group’ coloring, the feature and cell labels should be be the names and corresponding elements of the list
, respectively.
lis.match.blk <- list(cerebral.cortex=c('cortex.S1'), hypothalamus=c('corpus.callosum', 'hypothalamus'))
The following plots the corresponding co-visualization for sample gene ‘Cacnb4’. The legend under the embedding plot shows the cell labels in the matching list (lis.match.blk
). The source tissue information is indicated by using the same colors in the embedding and SHM plots on the left and right, respectively. In contrast to the Quick Start, the tar.bulk
indicates target tissues to show.
# Store data objects in an SPHM container.
dat.ann.tocell <- SPHM(svg=svg.mus.brain, bulk=blk.mus.aggr, cell=cell.dim, match=lis.match.blk)
covis(data=dat.ann.tocell, ID=c('Cacnb4'), dimred='UMAP', cell.group='label', tar.bulk=names(lis.match.blk), bar.width=0.09, dim.lgd.nrow=2, dim.lgd.text.size=12, h=0.6, legend.r=1.5, legend.key.size=0.02, legend.text.size=10, legend.nrow=3)
In scenarios where expression values are similar across tissues, the mapping between cells and tissues can be indicated by constant colors by setting profile=FALSE
.
covis(data=dat.ann.tocell, ID=c('Cacnb4'), profile=FALSE, dimred='UMAP', cell.group='label', tar.bulk=names(lis.match.blk), bar.width=0.09, dim.lgd.nrow=2, dim.lgd.text.size=12, h=0.8, legend.r=1.5, legend.key.size=0.02, legend.text.size=10, legend.nrow=3)
In the above examples, cells of the same group are assigned the same color in the embedding plots. It is useful to reveal matching between cell groups and tissues, but the cellular herterogeniety within groups is missing. The ‘cell-by-value’ coloring scheme is developed to overcome this limitation. In the following, this option is activated by col.idp=TRUE
.
covis(data=dat.ann.tocell, ID=c('Cacnb4'), col.idp=TRUE, dimred='UMAP', cell.group='label', tar.bulk=names(lis.match.blk), bar.width=0.08, dim.lgd.nrow=2, dim.lgd.text.size=10, h=0.6, legend.r=0.1, legend.key.size=0.01, legend.text.size=10, legend.nrow=2)
If both single cell and bulk gene expression data are available for the same or overlapping tissues then co-clustering can be used to assign cells to tissues automatically (Figure 8). Subsequently, the predicted tissue-cell assignments can be used for creating co-visualization plots. This approach is useful for predicting the source tissues of unlabeled cells without prior knowledge as is required for the annotation approach. While attractive there are various challenges to overcome to reliably co-cluster single cell data with the corresponding tissue-level bulk data. This is due to the different properties of single cell and bulk gene expression data, such as lower sensitivity and higher sparsity in single cell compared to bulk data. This section introduces a co-clustering method that is largely based on parameter optimization including three major steps. First, both data are preprocessed to retain the most reliable expression values (Figure 8A1-2). Second, the genes in the bulk data are reduced to those robustly expressed in the single cell data (Figure 8A3). Third, bulk and cell data are co-clustered (Figure 8C) by using optimal default settings (Table 1) that are obtained through optimization on real data with known tissue-cell assignments. The following introduces the three steps of this method in more detail using the example of RNA-Seq data.
The raw count matrices of bulk and single cells are column-wise combined for joint normalization (Figure 8A1). After separated from bulk data, the single-cell data are reduced to genes with robust expression across at least a proportion of cells and to cells with robust expression across at least a proportion of genes (Figure 8A2). In the bulk data, genes are filtered according to expression values exceeding a cutoff over a proportion of bulk samples and a coefficient of variance (CV) between CV1 and CV2 (Figure 8A2).
The bulk data are subsetted to the same genes as the single cell data (Figure 8A3). This and the previous filtering steps reduce the sparsity in the single-cell data and the bulk data are made more compareable to the single cell data by subsetting it to the same genes.
Bulk and single-cell data are column-wise combined for joint embedding using PCA or UMAP (Figure 8B). Co-clustering is then performed. Specifically, a graph is built on the the embedding data with methods (Table 1) from scran (Lun, McCarthy, and Marioni 2016), where nodes are cells (or tissues) and edges are connections between nearest neighbors, and subsequently this graph is partitioned with methods (Table 1) from igraph to obtain clusters (Csardi and Nepusz 2006). Three types of clusters are produced. First, a single tissue is co-clustered with multiple cells (Figure 8C1), and this tissue is assigned to all these cells. Second, multiple tissues are co-clustered with multiple cells (Figure 8C2). The nearest-neighbor tissue is assigned to each cell based on the similarity measure Spearman’s correlation coefficient. Third, no tissue is co-clustered with cells (Figure 8C3). All these cells are treated as unlabeled and represent candidates for discovering novel cell types. After co-clustering, cells are labeled by tissues or remain unlabeled (Figure 8D) and these labels are used for associating cells and tissues in embedding plots and SHMs, respectively (Figure 8E).
To achieve reasonably robust default settings, the co-clustering optimization focuses on the two most important steps: joint dimension reduction and co-clustering (Figure 8B-C). The relevant parameters associated with these steps are presented in Table 1, with the optimal settings highlighted in bold. These optimal settings are adopted as the default settings. The details of this optimization are given here. The following example applies the default settings (bold in Table 1) using single cell and bulk data from mouse brain (Vacher et al. 2021; Ortiz et al. 2020). Both data sets have been simplified for demonstraton purposes.
Parameter | Settings | Description |
---|---|---|
dimensionReduction (dimred) | PCA, UMAP | Dimension reduction methods. Choosing “PCA” and “UMAP” involves utilizing the “denoisePCA” function from the scran package and the “runUMAP” function from the scater package, respectively |
topDimensions (dims) | 5 to 80 (14) | Number of top dimensions selected for co-clustering. |
graphBuilding (graph.meth) | knn, snn | Methods for building a graph where nodes are cells and edges are connections between nearest neighbors. Choosing “knn” and “snn” involves utilizing the “buildKNNGraph” and “buildSNNGraph” function from the scran package, respectively. |
clusterDetection (cluster) | wt, fg, le | Methods for partitioning the graph to generate clusters. Choosing “wt”, “fg”, and “le” involves utilizing the “cluster_walktrap”, “cluster_fast_greedy”, and “cluster_leading_eigen” function from the igraph package, respectively. |
To obtain reproducible results, a fixed seed is set for generating random numbers.
set.seed(10)
The bulk data (blk.mus
) are the same with the Annotation Labels section. The following imports the single-cell data from the spatialHeatmap
package and shows its partial metadata in colData
slot.
sc.mus.pa <- system.file("extdata/shinyApp/data", "cell_mouse_cocluster.rds", package="spatialHeatmap")
sc.mus <- readRDS(sc.mus.pa)
colData(sc.mus)[1:3, , drop=FALSE]
## DataFrame with 3 rows and 1 column
## cell
## <character>
## isocort isocort
## isocort isocort
## isocort isocort
Bulk and single cell raw count data are jointly normalized by the function norm_cell
, which is a wrapper of computeSumFactors
from scran
(Lun, McCarthy, and Marioni 2016). com=FALSE
means bulk and single cells are separated after normalization for subsequent separate filtering.
#mus.lis.nor <- read_cache(cache.pa, 'mus.lis.nor')
#if (is.null(mus.lis.nor)) {
mus.lis.nor <- norm_cell(sce=sc.mus, bulk=blk.mus, com=FALSE)
save_cache(dir=cache.pa, overwrite=TRUE, mus.lis.nor)
#}
The normalized single cell and bulk data (log2-scale) are filtered to remove low expression values and reduce sparsity in the former. In the bulk data, replicates are first aggregated by taking means using the function aggr_rep
. Then genes are filtered according to expression values \(\ge\) 1 at a proportion of \(\ge 10\%\) (pOA
) across bulk samples and a coefficient of variance (CV
) between \(0.1-50\) (Gentleman et al. 2018).
In the single cell data, genes with expression values \(\ge 1\) (cutoff=1
) in \(\ge 1\%\) (p.in.gen=0.01
) of cells are retained, and cells having expression values \(\ge 1\) (cutoff=1
)
in \(\ge 10\%\) (p.in.cell=0.1
) of all genes are retained.
# Aggregate bulk replicates
blk.mus.aggr <- aggr_rep(data=mus.lis.nor$bulk, assay.na='logcounts', sam.factor='sample', aggr='mean')
# Filter bulk
blk.mus.fil <- filter_data(data=blk.mus.aggr, pOA=c(0.1, 1), CV=c(0.1, 50), verbose=FALSE)
# Filter cell and subset bulk to genes in cell
blk.sc.mus.fil <- filter_cell(sce=mus.lis.nor$cell, bulk=blk.mus.fil, cutoff=1, p.in.cell=0.1, p.in.gen=0.01, verbose=FALSE)
Compared to bulk RNA-Seq data, single cell data has a much higher level of
sparsity. This difference is reduced by the above filtering and then subsetting
the bulk data to the genes remaining in the filtered single cell data. This
entire process is accomplished by the filter_cell
function.
The same mouse brain aSVG as in the Quick Start section is used here and the aSVG importing is omitted for brevity.
tail(attribute(svg.mus.brain)[[1]])[1:3, 1:4] # Partial features are shown.
## # A tibble: 3 × 4
## feature id fill stroke
## <chr> <chr> <chr> <dbl>
## 1 brainstem UBERON_0002298 none 0.05
## 2 midbrain UBERON_0001891 none 0.05
## 3 dorsal.plus.ventral.thalamus UBERON_0001897 none 0.05
The co-clustering process is implemented in the function cocluster
. In the following, default settings obtained from the optimization are used, where min.dim
, dimred
, graph.meth
, and cluster
refers to topDimensions
, dimensionReduction
, graphBuilding
, and clusterDetection
in Table 1 respectively. The results are saved in coclus.mus
.
coclus.mus <- read_cache(cache.pa, 'coclus.mus')
if (is.null(coclus.mus)) {
coclus.mus <- cocluster(bulk=blk.sc.mus.fil$bulk, cell=blk.sc.mus.fil$cell, min.dim=14, dimred='PCA', graph.meth='knn', cluster='fg')
save_cache(dir=cache.pa, overwrite=TRUE, coclus.mus)
}
The tissue-cell assignments from the co-clustering process are stored in the colData
slot of the coclus.mus
object. The ‘cluster’ column represents cluster labels, ‘bulkCell’ indicates whether each entry represents bulk tissues or single cells, ‘sample’ represents the original labels of the bulk and cells, ‘assignedBulk’ refers to the bulk tissues assigned to cells with ‘none’ indicating unassigned cells, and ‘similarity’ represents Spearman’s correlation coefficients used for the tissue-cell assignments, serving as a measure of assignment stringency.
colData(coclus.mus)
## DataFrame with 4458 rows and 7 columns
## cluster bulkCell sample assignedBulk
## <character> <character> <character> <character>
## cerebral.cortex clus7 bulk cerebral.cortex none
## hippocampus clus4 bulk hippocampus none
## hypothalamus clus8 bulk hypothalamus none
## cerebellum clus8 bulk cerebellum none
## isocort clus5 cell isocort none
## ... ... ... ... ...
## retrohipp clus7 cell retrohipp cerebral.cortex
## retrohipp clus4 cell retrohipp hippocampus
## retrohipp clus4 cell retrohipp hippocampus
## retrohipp clus4 cell retrohipp hippocampus
## retrohipp clus4 cell retrohipp hippocampus
## similarity index sizeFactor
## <character> <integer> <numeric>
## cerebral.cortex none 1 45.811788
## hippocampus none 2 100.736625
## hypothalamus none 3 28.249392
## cerebellum none 4 44.415396
## isocort none 5 0.711862
## ... ... ... ...
## retrohipp 0.604 4454 1.006589
## retrohipp 0.174 4455 0.674636
## retrohipp 0.112 4456 0.646310
## retrohipp 0.165 4457 0.564467
## retrohipp 0.455 4458 0.636357
The tissue-cell assignments can be controled by filtering the values in the similarity
column. This utility is impletmented in function filter_asg
, where only assignments with similarities above the cutoff min.sim
will be retained. Utilities are also developed to tailor the assignments, such as assigning specific tissues to cells without assignments. Details of the tailoring are explained in the Supplementary Section.
coclus.mus <- filter_asg(coclus.mus, min.sim=0.1)
The co-clusters that consist of tissues and cells can be visualized in an embeding plot with the function plot_dim
. The dim
argument specifies an embedding method. To see all co-clusters, assign TRUE
to cocluster.only
, in this case, other clusters containing only cells will be in grey. To only show a specific cluster, assign the cluster label to group.sel
, for example, group.sel='clus3'
. In the embedding plot, tissues and cells are indicated by large and small circles respectively.
plot_dim(coclus.mus, dim='PCA', color.by='cluster', cocluster.only=TRUE, group.sel=NULL)
In co-clustering based co-visualization, assigned tissues are treated as group labels for cells. This section focuses on the ‘cell-by-value’ coloring, other coloring options (Figure 2b) are provided in the Supplementary Section.
Single-cell and bulk data are separated from each other.
# Separate bulk data.
coclus.blk <- subset(coclus.mus, , bulkCell=='bulk')
# Separate single cell data.
coclus.sc <- subset(coclus.mus, , bulkCell=='cell')
The co-visualization of ‘cell-by-value’ coloring is built on gene ‘Atp2b1’. Each cell in the embedding plot and each tissue in SHM are colored independently according to respective expression value of ‘Atp2b1’. The matching between cells and tissues are indicated in the legend plot with constant colors.
# Store data objects in an SPHM container.
dat.auto.idp <- SPHM(svg=svg.mus.brain, bulk=coclus.blk, cell=coclus.sc)
covis(data=dat.auto.idp, ID=c('Atp2b1'), dimred='TSNE', tar.cell=c('hippocampus', 'hypothalamus', 'cerebellum', 'cerebral.cortex'), col.idp=TRUE, dim.lgd.text.size=10, dim.lgd.nrow=2, bar.width=0.08, legend.nrow=3, h=0.6, legend.key.size=0.01, legend.text.size=10, legend.r=0.27)
Except for conventional single-cell data, the co-visualization module is able to co-visualize spatially resolved single-cell (SRSC) and bulk data as well. In the following example, the bulk data are the same as the Annotation Labels section, while the SRSC data are from the anterior region of sagittal mouse brain (10X Genomics Visium). For simplicity, the pre-processing steps of bulk and SRSC data are not described here and the pre-processed data are imported directly. These steps include (1) jointly normalizing bulk and SRSC data and subsequently separating them, which is performed with the the function norm_srsc
in spatialHeatmap
, (2) reducing dimensions (PCA, UMAP, TSNE) of the separated SRSC data, and (3) clustering the SRSC data. More details are described in the Seurat
vignette (Satija et al. 2015, @seurat2, @seurat3, @seurat4).
The pre-processed bulk and SRSC data are imported and partially shown.
# Importing bulk data.
blk.sp <- readRDS(system.file("extdata/shinyApp/data", "bulk_sp.rds", package="spatialHeatmap"))
# Bulk assay data are partially shown.
assay(blk.sp)[1:3, ]
## 3 x 4 sparse Matrix of class "dgCMatrix"
## cerebral.cortex hippocampus hypothalamus cerebellum
## Resp18 . . 7 .
## Epha4 5 9 2 .
## Scg2 4 6 52 4
# Importing SRSC data.
srt.sc <- read_cache(cache.pa, 'srt.sc')
if (is.null(srt.sc)) {
srt.sc <- readRDS(gzcon(url("https://zenodo.org/record/8240964/files/srt_sc.rds?download=1")))
save_cache(dir=cache.pa, overwrite=TRUE, srt.sc)
}
# SRSC assay data are partially shown.
srt.sc@assays$SCT@data[1:3, 1:2]
## 3 x 2 sparse Matrix of class "dgCMatrix"
## AAACAAGTATCTCCCA.1 AAACACCAATAACTGC.1
## Resp18 1.7917595 1.386294
## Epha4 0.6931472 .
## Scg2 2.5649494 3.091042
The SRSC data are stored in a Seurat
object. The cluster labels of cells are stored in the seurat_clusters
column of the meta.data
slot and partially shown.
# SRSC metadata of cells are partially shown.
srt.sc@meta.data[1:2, c('seurat_clusters', 'nFeature_SCT')]
## seurat_clusters nFeature_SCT
## AAACAAGTATCTCCCA.1 clus11 258
## AAACACCAATAACTGC.1 clus9 237
The coordinates of spatial spots are stored in the image
slot in the Seurat
object and partially shown.
# Coordinates of spatial spots are partially shown.
srt.sc@images$anterior1@coordinates[1:2, c('imagerow', 'imagecol')]
## imagerow imagecol
## AAACAAGTATCTCCCA.1 7475 8501
## AAACACCAATAACTGC.1 8553 2788
The aSVG of mouse brain is included in spatialHeatmap
and imported into an SVG
object.
svg.mus.sp <- read_svg(system.file("extdata/shinyApp/data", "mus_musculus.brain_sp.svg", package="spatialHeatmap"), srsc=TRUE)
In order to position spatial spots in the SRSC data correctly in the aSVG, a shape named overlay
that defines the region of the spatial spots is required in the aSVG. By using this shape as a reference, the coordinates of spatial spots in the SRSC data are transformed so that all these spots are positioned within this shape. The overlay
shape can be created in an SVG editor such as Inkscape. The process involves using the spatial plot generated by the SpatialFeaturePlot
function in Seurat
as a template.
attribute(svg.mus.sp)[[1]][7:8, c('feature', 'id', 'fill', 'stroke')]
## # A tibble: 2 × 4
## feature id fill stroke
## <chr> <chr> <chr> <dbl>
## 1 overlay overlay none 0.258
## 2 medulla.oblongata UBERON_0001896 none 0.1
In the SVG
object, the angle
slot is designed for optionally rotating the spatial spots. In the SRSC data generated by the Visium technology, a 90 degree rotation is required for correctly positioning the spatial spots, which is shown below.
angle(svg.mus.sp)[[1]] <- angle(svg.mus.sp)[[1]] + 90
The co-visualization plot is created with the gene ‘Epha4’ using ‘cell-by-value’ coloring. Assigning FALSE
to profile
will turn on the ‘fixed-group’ coloring. The cluster labels are treated as the cell group labels (cell.group='seurat_clusters'
). The ‘cerebral.cortex’ tissue anatomically correspond to cell clusters of ‘clus1’, ‘clus2’, ‘clus3’, and ‘clus5’, and this association is defined by a list
called lis.match
. The co-visualization plot consists of an embedding plot on the left, a single-cell SHM (scSHM) in the middle, and a SHM on the right. In the scSHM, spatial spots are positioned in the overlay
region and superimposed the anatomical structures in the aSVG.
# Association between "cerebral.cortex" and clusters.
lis.match <- list(cerebral.cortex=c('clus1', 'clus2', 'clus3', 'clus5'))
dat.srsc <- SPHM(svg=svg.mus.sp, bulk=blk.sp, cell=srt.sc, match=lis.match)
covis(data=dat.srsc, ID='Epha4', assay.na='logcounts', dimred='TSNE', cell.group='seurat_clusters', tar.bulk=c('cerebral.cortex'), col.idp=TRUE, bar.width=0.07, dim.lgd.nrow=2, dim.lgd.text.size=8, legend.r=0.1, legend.key.size=0.013, legend.text.size=10, legend.nrow=3, h=0.6, profile=TRUE, ncol=3, vjust=5, dim.lgd.key.size=3, size.r=0.97, dim.axis.font.size=8, size.pt=1.5, lgd.plots.size=c(0.35, 0.25, 0.35), verbose=FALSE)
The co-visualization module is included in the spatialHeatmap Shiny App that is an interactive implementation of spatialHeatmap
. To start this App in R, simply call shiny_shm()
. Below is a screenshot of the co-visulization output.
To upload single-cell and bulk data to this App for co-visualization, these two data types can be combined column-wise into an SCE
object or saved as tabular files. When opting for the former, the metadata in the colData
slot of the SCE
object should be formatted according to the following rules:
Use the bulkCell
column to indicate whether a sample is a bulk or a single cell. Use bulk
for bulk samples and cell
for single-cell samples. If no bulk
designation is included in this column, all samples will default to single cells.
If multiple versions of cell group labels (such as annotation labels or marker genes) are provided, include them in columns labeled label
, label1
,label2
, and so on. In each of these label columns, include the corresponding aSVG spatial features as bulk tissue labels.
Once the assay data is properly formatted as shown below, save the SCE
object as an ‘.rds’ file using the saveRDS
function in R. Then, upload both the ‘.rds’ file and the aSVG file to the App for co-visualization. An example of bulk and single-cell data for use in the Shiny App are included in spatialHeatmap
and shown below. Alternatively, the combined bulk and single-cell assay data, along with sample metadata (targets file) can be saved as separate tabular files for uploading. The conventions for formatting the targets file are given below. It is important to make sure the order of bulk and single-cell samples remains consistent between the assay data and the targets file.
shiny.dat.pa <- system.file("extdata/shinyApp/data", "shiny_covis_bulk_cell_mouse_brain.rds", package="spatialHeatmap")
shiny.dat <- readRDS(shiny.dat.pa)
colData(shiny.dat)
## DataFrame with 1061 rows and 4 columns
## label label1 bulkCell variable
## <character> <character> <character> <character>
## cerebral.cortex cerebral.cortex cerebral.cortex bulk control
## hippocampus hippocampus hippocampus bulk control
## hypothalamus hypothalamus hypothalamus bulk control
## cerebellum cerebellum cerebellum bulk control
## cerebral.cortex cerebral.cortex cerebral.cortex bulk control
## ... ... ... ... ...
## retrohipp retrohipp clus4 cell control
## retrohipp retrohipp clus4 cell control
## cere cere clus2 cell control
## cere cere clus2 cell control
## midbrain midbrain clus2 cell control
More examples of the co-visualization feature in spatialHeatmap are showcased here.
To provide additional flexibility for defining cell groupings, several other options are provided. Here users can assign cell groups manually or by using clustering methods that are often used in the
analysis of single-cell data. The resulting cell grouping or cluster
information needs to be stored in a tabular file, that will be imported into an
SCE
object (here cell_group
function). The following demonstration uses
the same single cell and aSVG instance as the example of annotation labels above. The only
difference is an additional clustering step. For demonstration purposes a small
example of a cluster file is included in the spatialHeatmap
package. In this
case the group labels were created by the cluster_cell
function. The details
of this function are available in its help file. The cluster file contains at
least two columns: a column (here cell
) with single cell identifiers used under
colData
and a column (here cluster
) with the cell group labels. For practical
reasons of building this vignette a pure manual example could not be used here.
However, the chosen clustering example can be easily adapted to manual or
hybrid grouping approaches since the underlying tabular data structure is the
same for both that can be generated in most text or spreadsheet programs.
manual.clus.mus.sc.pa <- system.file("extdata/shinyApp/data", "manual_cluster_mouse_brain.txt", package="spatialHeatmap")
manual.clus.mus.sc <- read.table(manual.clus.mus.sc.pa, header=TRUE, sep='\t')
manual.clus.mus.sc[1:3, ]
## cell cluster
## 1 C1.1772078.029.F11 clus7
## 2 C1.1772089.202.E04 clus7
## 3 C1.1772099.091.D10 clus1
The cell_group
function can be used to append the imported group labels to the colData
slot of an SCE
object.
sce.clus <- cell_group(sce=sce.dimred.quick, df.group=manual.clus.mus.sc, cell='cell', cell.group='cluster')
colData(sce.clus)[1:3, c('cluster', 'label', 'variable')]
## DataFrame with 3 rows and 3 columns
## cluster label variable
## <character> <character> <character>
## C1.1772078.029.F11 clus7 hypothalamus control
## C1.1772089.202.E04 clus7 SN.VTA control
## C1.1772099.091.D10 clus1 dorsal.horn control
An embedding plot of single cell data is created. The cells represented as dots are
colored by the grouping information stored in the cluster
column of the colData
slot of SCE
.
plot_dim(sce.clus, color.by="cluster", dim='TSNE')
The same mouse brain aSVG as above is used here.
tail(attribute(svg.mus.brain)[[1]])[1:3, 1:4]
## # A tibble: 3 × 4
## feature id fill stroke
## <chr> <chr> <chr> <dbl>
## 1 brainstem UBERON_0002298 none 0.05
## 2 midbrain UBERON_0001891 none 0.05
## 3 dorsal.plus.ventral.thalamus UBERON_0001897 none 0.05
Similarly as above, a mapping list is used to match the cell clusters with aSVG features.
lis.match.clus <- list(clus1=c('cerebral.cortex'), clus3=c('brainstem', 'medulla.oblongata'))
This example is demonstrated with ‘cell-by-group’ coloring, so gene expression values need to be summarized for the cells within each group label. Any grouping column in colData
can be used as labels for summarizing. In this example, the cluster
labels are used.
If additional experimental variables (e.g. treatments) are provided, the summarizing will consider them as well (here variable
). The following example uses the cluster
and variable
columns as group labels and experimental variables, respectively.
sce.clus.aggr <- aggr_rep(sce.clus, assay.na='logcounts', sam.factor='cluster', con.factor='variable', aggr='mean')
colData(sce.clus.aggr)[1:3, c('cluster', 'label', 'variable')]
## DataFrame with 3 rows and 3 columns
## cluster label variable
## <character> <character> <character>
## clus7__control clus7 hypothalamus control
## clus1__control clus1 dorsal.horn control
## clus5__control clus5 corpus.callosum control
The co-visualization plot with ‘cell-by-group’ coloring is created with gene Tcea1
.
# Store data objects in an SPHM container.
dat.man.tobulk <- SPHM(svg=svg.mus.brain, bulk=sce.clus.aggr, cell=sce.clus, match=lis.match.clus)
covis(data=dat.man.tobulk, ID=c('Tcea1'), dimred='TSNE', cell.group='cluster', assay.na='logcounts', tar.cell=names(lis.match.clus), bar.width=0.09, dim.lgd.nrow=1, h=0.6, legend.r=1.5, legend.key.size=0.02, legend.text.size=12, legend.nrow=4, verbose=FALSE)
In ‘cell-by-group’ coloring, after separated from bulk, gene expression values in single-cell data are summarized by means within each cell group, i.e. tissue assignement.
# Separate single cell data.
coclus.sc <- subset(coclus.mus, , bulkCell=='cell')
# Summarize expression values in each cell group.
sc.aggr.coclus <- aggr_rep(data=coclus.sc, assay.na='logcounts', sam.factor='assignedBulk', aggr='mean')
colData(sc.aggr.coclus)
## DataFrame with 5 rows and 8 columns
## cluster bulkCell sample assignedBulk similarity
## <character> <character> <character> <character> <character>
## none clus5 cell isocort none none
## cerebral.cortex clus7 cell isocort cerebral.cortex 0.213
## hippocampus clus4 cell olfa hippocampus 0.24
## cerebellum clus8 cell striatum cerebellum 0.112
## hypothalamus clus8 cell striatum hypothalamus 0.169
## index sizeFactor spFeature
## <integer> <numeric> <character>
## none 5 0.711862 none
## cerebral.cortex 30 0.685422 cerebral.cortex
## hippocampus 57 0.904467 hippocampus
## cerebellum 301 0.690039 cerebellum
## hypothalamus 349 0.643566 hypothalamus
The co-visualization plot with ‘cell-by-group’ coloring is created on gene ‘Atp2b1’. Cells in the embedding plot and respective assigned tissues in SHM are colored by mean expression values of ‘Atp2b1’ in each cell group.
# Store data objects in an SPHM container.
dat.auto.tobulk <- SPHM(svg=svg.mus.brain, bulk=sc.aggr.coclus, cell=coclus.sc)
covis(data=dat.auto.tobulk, ID=c('Atp2b1'), dimred='TSNE', tar.cell=c('hippocampus', 'hypothalamus', 'cerebellum', 'cerebral.cortex'), dim.lgd.text.size=10, dim.lgd.nrow=2, bar.width=0.09, legend.nrow=5, h=0.6, legend.key.size=0.02, legend.text.size=12, legend.r=1.5)
Similar to the aforementioned ‘cell-by-group’ coloring, in the ‘feature-by-group’ coloring approach, expression values need to be aggregated across bulk replicates, a step that has already been performed during preprocessing.
coclus.blk <- subset(coclus.mus, , bulkCell=='bulk')
Same with the convention when plotting SHMs in the main vignette, at least one tissue in bulk assay data should share a common identifier with an aSVG feature.
colnames(coclus.blk) %in% attribute(svg.mus.brain)[[1]]$feature
## [1] TRUE TRUE TRUE TRUE
The co-visualization plot with ‘feature-by-group’ coloring is created on gene ‘Atp2b1’. Cells in the embedding plot and respective assigned tissues in SHM are colored according to mean expression values of ‘Atp2b1’ across tissue replicates.
# Store data objects in an SPHM container.
dat.auto.tocell <- SPHM(svg=svg.mus.brain, bulk=coclus.blk, cell=coclus.sc)
covis(data=dat.auto.tocell, ID=c('Atp2b1'), dimred='TSNE', tar.bulk=colnames(coclus.blk), assay.na='logcounts', legend.nrow=5, dim.lgd.text.size=10, dim.lgd.nrow=2, bar.width=0.08, h=0.6, legend.key.size=0.02, legend.text.size=12, legend.r=1.5)
By setting profile=FALSE
, the co-visualization plot is created with ‘fixed-by-group’ coloring, where the same constant colors between the embedding plot and SHM indicate matching between cells and tissues respectively.
covis(data=dat.auto.tocell, ID=c('Atp2b1'), dimred='TSNE', profile=FALSE, assay.na='logcounts', legend.nrow=4, dim.lgd.text.size=10, dim.lgd.nrow=2, bar.width=0.09)
The tissue-cell assignments in the automated co-clustering can be optionally tailored. Both command-line and graphical methods are supported for this purpose. In the command-line, the first step is to visualize single cells in an embedding plot as shown below.
plot_dim(coclus.mus, dim='PCA', color.by='sample', x.break=seq(-10, 10, 1), y.break=seq(-10, 10, 1), panel.grid=TRUE, lgd.ncol=2)
Second, select cells with x-y coordinate ranges (x.min
, x.max
, y.min
, y.max
) in the embedding plot and define corresponding desired tissues (desiredBulk
) in form of a data.frame
(df.desired.bulk
). In order to define more accurate coordinates, tune the x-y axis breaks (x.break
, y.break
) and set panel.grid=TRUE
in the first step. In the data.frame
, the dimred
represents embedding plots where the coordinates come from. For demonstration, some cells near the tissue hippocampus
(the large green dot) are selected and hippocampus
is chosen as the desired tissue.
df.desired.bulk <- data.frame(x.min=c(-8), x.max=c(5), y.min=c(1), y.max=c(5), desiredBulk=c('hippocampus'), dimred='PCA')
df.desired.bulk
Next, the tissue-cell assignments from co-clustering are updated with the function refine_asg
by incorporating the desired tissues. The similarities corresponding to desired tissues are internally set at the maximum of 1. After that, single-cell data are separated from bulk data for creating co-visualization plots.
# Incorporate desired bulk
coclus.mus.tailor <- refine_asg(sce.all=coclus.mus, df.desired.bulk=df.desired.bulk)
# Separate cells from bulk
coclus.sc.tailor <- subset(coclus.mus.tailor, , bulkCell=='cell')
After the above tailoring steps, the co-visualization plot with ‘feature-by-group’ coloring is created on gene ‘Atp2b1’ (Figure 19). To reveal the tailoring, only the tissue hippocampus
is selected to show (tar.bulk=c('hippocampus')
). Cells of hippocampus
in the embedding plot include tailored cells in df.desired.bulk
and those labeled hippocampus
in co-clustering. All these cells have the same color as the tissue hippocampus
in SHM. As a comparison, the hippocampus cells before tailoring is shown in Figure 20.
# Store data objects in an SPHM container.
dat.auto.tocell.tailor <- SPHM(svg=svg.mus.brain, bulk=coclus.blk, cell=coclus.sc.tailor)
covis(data=dat.auto.tocell.tailor, ID=c('Atp2b1'), dimred='PCA', tar.bulk=c('hippocampus'), assay.na='logcounts', legend.nrow=4, dim.lgd.text.size=10, dim.lgd.nrow=2, bar.width=0.08, legend.r=1.5)
covis(data=dat.auto.tocell, ID=c('Atp2b1'), dimred='PCA', tar.bulk=c('hippocampus'), assay.na='logcounts', legend.nrow=4, dim.lgd.text.size=10, dim.lgd.nrow=2, bar.width=0.08, legend.r=1.5)
This section describes the graphical method for tailoring co-clustering results through a convenience Shiny App (see the function desired_bulk_shiny
).
Figure 21 is the screenshot of the convenience Shiny App. To use this App, upload the co-clustering result returned by the cocluster
function (here coclus.mus
), which should be saved as an ‘.rds’ file using the saveRDS
function. In the embedding plot on the left, cells are selected using the “Lasso Select” tool. The selected cells and their coordinates are then displayed in a table on the right. From the dropdown list, the desired tissues (aSVG features) are selected, here hippocampus
. To download the table, simply click on the “Download” button. To refer to more guidance, click on the “Help” button.
An example of desired tisssues downloaded from the convenience Shiny App is shown below and imported to df.desired.bulk
, which is ready to use in the tailoring section. The x-y coordinates refer to selected single cells in embbeding plots (dimred
).
desired.blk.pa <- system.file("extdata/shinyApp/data", "selected_cells_with_desired_bulk.txt", package="spatialHeatmap")
df.desired.blk <- read.table(desired.blk.pa, header=TRUE, row.names=1, sep='\t')
df.desired.blk[1:3, ]
sessionInfo()
## R version 4.4.1 (2024-06-14)
## Platform: x86_64-pc-linux-gnu
## Running under: Ubuntu 22.04.4 LTS
##
## Matrix products: default
## BLAS: /home/biocbuild/bbs-3.19-bioc/R/lib/libRblas.so
## LAPACK: /usr/lib/x86_64-linux-gnu/lapack/liblapack.so.3.10.0
##
## locale:
## [1] LC_CTYPE=en_US.UTF-8 LC_NUMERIC=C
## [3] LC_TIME=en_GB LC_COLLATE=C
## [5] LC_MONETARY=en_US.UTF-8 LC_MESSAGES=en_US.UTF-8
## [7] LC_PAPER=en_US.UTF-8 LC_NAME=C
## [9] LC_ADDRESS=C LC_TELEPHONE=C
## [11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C
##
## time zone: America/New_York
## tzcode source: system (glibc)
##
## attached base packages:
## [1] stats4 stats graphics grDevices utils datasets methods
## [8] base
##
## other attached packages:
## [1] Seurat_5.1.0 SeuratObject_5.0.2
## [3] sp_2.1-4 kableExtra_1.4.0
## [5] SingleCellExperiment_1.26.0 ggplot2_3.5.1
## [7] SummarizedExperiment_1.34.0 Biobase_2.64.0
## [9] GenomicRanges_1.56.1 GenomeInfoDb_1.40.1
## [11] IRanges_2.38.1 S4Vectors_0.42.1
## [13] BiocGenerics_0.50.0 MatrixGenerics_1.16.0
## [15] matrixStats_1.3.0 spatialHeatmap_2.10.2
## [17] knitr_1.48 BiocStyle_2.32.1
##
## loaded via a namespace (and not attached):
## [1] fs_1.6.4 spatstat.sparse_3.1-0
## [3] httr_1.4.7 RColorBrewer_1.1-3
## [5] tools_4.4.1 sctransform_0.4.1
## [7] utf8_1.2.4 R6_2.5.1
## [9] lazyeval_0.2.2 uwot_0.2.2
## [11] withr_3.0.1 gridExtra_2.3
## [13] progressr_0.14.0 cli_3.6.3
## [15] spatstat.explore_3.3-1 fastDummies_1.7.3
## [17] grImport_0.9-7 labeling_0.4.3
## [19] sass_0.4.9 spatstat.data_3.1-2
## [21] genefilter_1.86.0 ggridges_0.5.6
## [23] pbapply_1.7-2 systemfonts_1.1.0
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## [35] ica_1.0-3 spatstat.random_3.3-1
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## [49] grid_4.4.1 blob_1.2.4
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## [59] annotate_1.82.0 KEGGREST_1.44.1
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## [101] xml2_1.3.6 DelayedArray_0.30.1
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## [117] dbplyr_2.5.0 highr_0.11
## [119] fastmap_1.2.0 rlang_1.1.4
## [121] htmlwidgets_1.6.4 UCSC.utils_1.0.0
## [123] shiny_1.9.0 DelayedMatrixStats_1.26.0
## [125] farver_2.1.2 jquerylib_0.1.4
## [127] zoo_1.8-12 jsonlite_1.8.8
## [129] BiocParallel_1.38.0 BiocSingular_1.20.0
## [131] magrittr_2.0.3 scuttle_1.14.0
## [133] GenomeInfoDbData_1.2.12 ggplotify_0.1.2
## [135] dotCall64_1.1-1 patchwork_1.2.0
## [137] munsell_0.5.1 Rcpp_1.0.13
## [139] viridis_0.6.5 reticulate_1.38.0
## [141] stringi_1.8.4 zlibbioc_1.50.0
## [143] MASS_7.3-61 plyr_1.8.9
## [145] parallel_4.4.1 listenv_0.9.1
## [147] ggrepel_0.9.5 deldir_2.0-4
## [149] Biostrings_2.72.1 splines_4.4.1
## [151] tensor_1.5 locfit_1.5-9.10
## [153] igraph_2.0.3 spatstat.geom_3.3-2
## [155] RcppHNSW_0.6.0 reshape2_1.4.4
## [157] ScaledMatrix_1.12.0 XML_3.99-0.17
## [159] evaluate_0.24.0 scran_1.32.0
## [161] BiocManager_1.30.23 httpuv_1.6.15
## [163] RANN_2.6.1 tidyr_1.3.1
## [165] purrr_1.0.2 polyclip_1.10-7
## [167] future_1.34.0 scattermore_1.2
## [169] rsvd_1.0.5 xtable_1.8-4
## [171] rsvg_2.6.0 RSpectra_0.16-2
## [173] later_1.3.2 viridisLite_0.4.2
## [175] tibble_3.2.1 memoise_2.0.1
## [177] beeswarm_0.4.0 AnnotationDbi_1.66.0
## [179] cluster_2.1.6 globals_0.16.3
## [181] shinyAce_0.4.2
This project has been funded by NSF awards: PGRP-1546879, PGRP-1810468, PGRP-1936492.
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