{ "cells": [ { "cell_type": "markdown", "id": "c382d399", "metadata": {}, "source": [ "# SpatialDM tutorial with melanoma data" ] }, { "cell_type": "markdown", "id": "58fcfc21-57d2-470b-b1b5-f1e8b2c52662", "metadata": {}, "source": [ "You may also run it on Google Colab with this link: [melanoma.ipynb](https://colab.research.google.com/github/StatBiomed/SpatialDM/blob/main/tutorial/melanoma.ipynb)" ] }, { "cell_type": "markdown", "id": "9bc97fc1-7736-4c93-8408-ef8be6b59030", "metadata": {}, "source": [ "TO run it on Google Colab (or a new environment), please change this section into code (or copy into a new code block) for installing the following packages.\n", "Note, please only install the package if you need (required on colab). For your local environment, you only need to install them for the first time.\n", "\n", "```bash\n", "# optionally use an older version of scipy (also works till v1.15.3)\n", "!pip install scipy==1.11.4\n", "\n", "# install anndata <= 0.10.8 to avoid complicated cupy package\n", "!pip install anndata==0.10.8\n", "\n", "# install latest SpatialDM from github directly\n", "!pip install -U git+https://github.com/StatBiomed/SpatialDM\n", "\n", "!pip install SparseAEH\n", "```" ] }, { "cell_type": "code", "execution_count": 1, "id": "3de9fd5b-fa86-4dc5-b7a2-70edaa096cd4", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SpatailDM version: 0.3.0\n" ] } ], "source": [ "import os\n", "import pandas as pd\n", "import numpy as np\n", "import anndata as ann\n", "\n", "import spatialdm as sdm\n", "from spatialdm.datasets import dataset\n", "import spatialdm.plottings as pl\n", "\n", "import matplotlib.pyplot as plt\n", "print(\"SpatailDM version: %s\" %sdm.__version__)" ] }, { "cell_type": "code", "execution_count": null, "id": "03e579b2-a98c-4b2e-8304-59bbcd78e9ab", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "5b886171", "metadata": {}, "source": [ "The melanoma dataset from [Thrane, et al. 2018 Caner Cell](https://aacrjournals.org/cancerres/article/78/20/5970/631815) was publicly available.\n", "We obtained raw counts, pre-processed log counts, and spatial coordinates from Matt Stone ([Git repository](https://github.com/msto/spatial-datasets)). For easier reuse, we included them in an anndata object which can be loaded directly in SpatialDM Python package.\n", "\n", "We can see the histology image below from the orignal supplementary figure (the first sample):\n", "\n", "\n", "\n", "For the cell type annotation, we can visualize it from SpatialDM's paper [Figure 2b](https://www.nature.com/articles/s41467-023-39608-w/figures/2)." ] }, { "cell_type": "code", "execution_count": 2, "id": "482d9a06", "metadata": { "scrolled": true, "tags": [] }, "outputs": [], "source": [ "adata = dataset.melanoma()" ] }, { "cell_type": "markdown", "id": "f96892ff", "metadata": {}, "source": [ "The anndata object contains the following:\\\n", " log-transformed expression in `adata.X`, \\\n", " raw expression in `adata.raw`,\\\n", " cell types computed by RCTD in `adata.obs`,\\\n", " and spatial coordinates in `adata.obsm['spatial']`" ] }, { "cell_type": "markdown", "id": "b428527a", "metadata": {}, "source": [ "## Step 0: SpatialDM object and preprocessing" ] }, { "cell_type": "markdown", "id": "341145f3", "metadata": {}, "source": [ "We generate a suitable weight matrix for the SpatialDM object at first. Here considering the scale of the spatial coordinates and spot-spot distance (200 micrometers here), we set radial basis kernel parameter l = 1.2, and trimmed all weights < 0.2 (cutoff) to match the normal range of CCC (200 micrometers, 1 spot away from the sender cell here)" ] }, { "cell_type": "markdown", "id": "de39ed50", "metadata": {}, "source": [ "
\n", "\n", "**Note**\n", "Alternative to the cutoff parameter, we can set n_neighbors to around 8 to restrain the range of CCC.\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 3, "id": "6eb47fc4", "metadata": { "tags": [] }, "outputs": [], "source": [ "# weight_matrix by rbf kernel\n", "sdm.weight_matrix(adata, l=1.2, cutoff=0.2, single_cell=False)" ] }, { "cell_type": "markdown", "id": "c2e4ad04", "metadata": {}, "source": [ "
\n", "\n", "**Note**\n", " \n", "If the scale of the spatial coordinates is larger (e.g. several thousand in the intestinal example) or smaller, or when the spot-spot distance varies (which is common for different platforms), the `l` can be very different. It's a crucial step to determine a suitable `l` to match the biological context. We recommend the following plotting to check the resulting weight matrix from the previous step. If needed, users can run ```weight_matrix``` iteratively to decide the most optimal `l` and `cutoff`.\n", "You can also use the parameter `eff_dist` to help you determine `l`. It stands for the maximum distance between two points that can influence each other. `eff_dist` also relies heavily on the scale of the spatial coordinates. Try to provide at least one good estimate of `l` and `eff_dist` to enable the clustering algorithm function better.\n", "
" ] }, { "cell_type": "code", "execution_count": 4, "id": "a165a993", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualize range of interaction\n", "import matplotlib.pyplot as plt\n", "plt.figure(figsize=(3,3))\n", "\n", "plt.scatter(adata.obsm['spatial'][:,0], adata.obsm['spatial'][:,1], \n", " c=adata.obsp['weight'].toarray()[50])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bcbc5f8d", "metadata": {}, "source": [ "Next step is to extract valid LR pairs from the database (by default, we use CellChatDB). Filtering out sparsely expressed ligand or receptor (e.g. 3) can help us get more interpretable results later." ] }, { "cell_type": "code", "execution_count": 5, "id": "7b61152e", "metadata": { "scrolled": true, "tags": [] }, "outputs": [], "source": [ "# find overlapping LRs from CellChatDB\n", "sdm.extract_lr(adata, 'human', min_cell=3)" ] }, { "cell_type": "markdown", "id": "25fe1db9", "metadata": {}, "source": [ "## Step 1.1: Global selection of spatially co-expressed LR pairs (z-score approach)" ] }, { "cell_type": "markdown", "id": "d6e46beb", "metadata": {}, "source": [ "It is a crucial step to identify dataset-specific interacting LR pairs (global selection) for ensuring quality analysis and reliable interpretation of the putative CCC. With high computation efficiency, SpatialDM can complete global selection in seconds. " ] }, { "cell_type": "code", "execution_count": 6, "id": "82b76136", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.597 seconds\n" ] } ], "source": [ "import time\n", "start = time.time()\n", "\n", "# global Moran selection\n", "sdm.spatialdm_global(adata, method='z-score', nproc=1)\n", "\n", "# select significant pairs\n", "sdm.sig_pairs(adata, method='z-score', fdr=True, threshold=0.1)\n", "\n", "print(\"%.3f seconds\" %(time.time()-start))" ] }, { "cell_type": "markdown", "id": "32ea5e00", "metadata": {}, "source": [ "We used fdr corrected global p-values and a threshold FDR < 0.1 (default) to determine which pairs to be included in the following local identification steps. There are 103 pairs being selected in this data." ] }, { "cell_type": "code", "execution_count": 7, "id": "be160576", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "172\n" ] }, { "data": { "text/html": [ "
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Ligand0Ligand1Ligand2Receptor0Receptor1Receptor2z_pvalzfdrselected
CCL21_CCR7CCL21NoneNoneCCR7NoneNone2.351186e-6316.7610512.118419e-60True
CD99_CD99CD99NoneNoneCD99NoneNone1.786933e-6016.3619688.050133e-58True
PECAM1_PECAM1PECAM1NoneNonePECAM1NoneNone6.034266e-5014.8130251.812291e-47True
ESAM_ESAMESAMNoneNoneESAMNoneNone6.911664e-4814.4909421.556852e-45True
SPP1_ITGAV_ITGB5SPP1NoneNoneITGAVITGB5None2.987723e-4614.2299155.383876e-44True
\n", "
" ], "text/plain": [ " Ligand0 Ligand1 Ligand2 Receptor0 Receptor1 Receptor2 \\\n", "CCL21_CCR7 CCL21 None None CCR7 None None \n", "CD99_CD99 CD99 None None CD99 None None \n", "PECAM1_PECAM1 PECAM1 None None PECAM1 None None \n", "ESAM_ESAM ESAM None None ESAM None None \n", "SPP1_ITGAV_ITGB5 SPP1 None None ITGAV ITGB5 None \n", "\n", " z_pval z fdr selected \n", "CCL21_CCR7 2.351186e-63 16.761051 2.118419e-60 True \n", "CD99_CD99 1.786933e-60 16.361968 8.050133e-58 True \n", "PECAM1_PECAM1 6.034266e-50 14.813025 1.812291e-47 True \n", "ESAM_ESAM 6.911664e-48 14.490942 1.556852e-45 True \n", "SPP1_ITGAV_ITGB5 2.987723e-46 14.229915 5.383876e-44 True " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(adata.uns['global_res'].selected.sum())\n", "adata.uns['global_res'].sort_values(by='fdr').head()" ] }, { "cell_type": "code", "execution_count": null, "id": "01c80042-1a6e-4911-bce4-c4c4d28a5a8b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "914be197-4b0a-42e4-afc6-156063b57a32", "metadata": {}, "source": [ "## Step 1.2: Local selection of interacting spots (z-score approach)" ] }, { "cell_type": "markdown", "id": "ce5ac208", "metadata": {}, "source": [ "Local selection is then carried out for the selected 103 pairs to identify where the LRI take place, in a single-spot resolution." ] }, { "cell_type": "code", "execution_count": 8, "id": "bd9e7133", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.548 seconds\n" ] } ], "source": [ "start = time.time()\n", "# local spot selection\n", "sdm.spatialdm_local(adata, method='z-score', nproc=1)\n", "\n", "# significant local spots\n", "sdm.sig_spots(adata, method='z-score', fdr=False, threshold=0.1)\n", "\n", "print(\"%.3f seconds\" %(time.time()-start))" ] }, { "cell_type": "markdown", "id": "2f308b9f", "metadata": {}, "source": [ "By default, local selection is performed for all selected pairs in the previous step. " ] }, { "cell_type": "markdown", "id": "91abd9d9", "metadata": {}, "source": [ "
\n", "\n", "**Note** \n", "Apply an array of integer indices of selected pairs to `select_num` to run local selection in selected pairs\n", "
" ] }, { "cell_type": "markdown", "id": "4c92f492", "metadata": {}, "source": [ "The global and local results are easily accessible through ```global_res``` and ```local_perm_p``` or ```local_z_p```" ] }, { "cell_type": "markdown", "id": "9c79082b", "metadata": {}, "source": [ "## Step 1.3 (exploratory): Visualize pair(s)" ] }, { "cell_type": "markdown", "id": "1a1218a2", "metadata": {}, "source": [ "SpatialDM provides plotting utilities for general summary of global results:" ] }, { "cell_type": "code", "execution_count": 9, "id": "be8cf193", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.global_plot(adata, pairs=['SPP1_CD44', 'CSF1_CSF1R', 'VEGFA_VEGFR2', 'ANGPTL4_SDC2'], \n", " figsize=(6,5), cmap='RdGy_r', vmin=-1.5, vmax=2)" ] }, { "cell_type": "markdown", "id": "6ca1be46", "metadata": {}, "source": [ "Known melanoma-related pairs were all observed in the selected pairs. It would then be meaningful to investigate the spatial context of their interactions." ] }, { "cell_type": "code", "execution_count": 10, "id": "03debf9f", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualize known melanoma pairs\n", "pl.plot_pairs(adata, ['CSF1_CSF1R', 'VEGFA_VEGFR2', 'CXCL12_CXCR4'], marker='s')" ] }, { "cell_type": "code", "execution_count": null, "id": "6f859374-edb9-4da8-bb6c-6a239bb8100c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "3ea90e06", "metadata": {}, "source": [ "## Step 2: Spatial Clustering of Local Spots" ] }, { "cell_type": "markdown", "id": "a27012d1", "metadata": {}, "source": [ "[SparseAEH](https://github.com/jackywangtj66/SparseAEH) allows clustering of spatially auto-correlated genes. Here, we repurposed SpatialDE to identify spatially auto-correlated interactions by using binary local selection status as input." ] }, { "cell_type": "code", "execution_count": 11, "id": "b385a138", "metadata": { "tags": [] }, "outputs": [], "source": [ "from SparseAEH import MixedGaussian\n", "from SparseAEH.plot import plot_clusters" ] }, { "cell_type": "markdown", "id": "39cdacd9", "metadata": {}, "source": [ "Filter out sparse interactions with fewer than 3 identified interacting spots.\n", "Cluster into 6 patterns." ] }, { "cell_type": "code", "execution_count": 12, "id": "5776fbbc", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "170 pairs used for spatial clustering\n" ] } ], "source": [ "lr_idx = adata.uns['local_stat']['n_spots'] > 2\n", "bin_spots = adata.uns['selected_spots'].astype(int)[lr_idx]\n", "Y = bin_spots.to_numpy()\n", "\n", "print(bin_spots.shape[0], \"pairs used for spatial clustering\")" ] }, { "cell_type": "code", "execution_count": 13, "id": "83e53abd", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 0\n", "updating variance\n", "Iteration 1\n" ] } ], "source": [ "gaussian = MixedGaussian(adata.obsm['spatial'], group_size=16, d=30, l=1e-5)\n", "cluster = gaussian.run_cluster(Y.T, 3, iter=50, init_mean='k_means')" ] }, { "cell_type": "code", "execution_count": null, "id": "bac55186-351c-460c-88c1-a530b742c700", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 14, "id": "6400cbd2-1be7-41d0-a010-82fe153590b3", "metadata": {}, "outputs": [], "source": [ "def plot_clusters(gaussian, label='counts', s=15):\n", " k = gaussian.K\n", " h = np.ceil(np.sqrt(k)).astype(int)\n", " w = np.ceil(k/h).astype(int)\n", " for i in range(gaussian.K):\n", " plt.subplot(h, w, i + 1)\n", " plt.scatter(gaussian.kernel.spatial[:, 0], \n", " gaussian.kernel.spatial[:, 1],\n", " marker = 's', c=gaussian.mean[:, i],\n", " cmap=\"viridis\", s=s)\n", " plt.axis('equal')\n", " # plt.gca().invert_yaxis()\n", " if label == 'counts':\n", " plt.title('Pattern %d: %d LR pairs' \n", " %(i, np.sum(gaussian.labels == i)))\n", " else:\n", " plt.title('Pattern %d: %.3f proportion' %(i, gaussian.pi[i]))" ] }, { "cell_type": "code", "execution_count": 15, "id": "0dc45b57", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (8, 6), dpi=80)\n", "plot_clusters(gaussian, s=38)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "90585073-a900-4705-a67f-e3566e1d36db", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "1c7cff55-3fb7-4f63-a7b3-718079fb2e23", "metadata": {}, "source": [ "## Step 3: Pathway enrichment of spatial clusters of LR pairs" ] }, { "cell_type": "markdown", "id": "a347e112", "metadata": {}, "source": [ "SpatialDM provides `compute_pathway` function to group a list of interactions based on the pathways they belong. The input can be a dictionary of several lists." ] }, { "cell_type": "code", "execution_count": 16, "id": "0f9c93d5", "metadata": { "tags": [] }, "outputs": [], "source": [ "dic=dict()\n", "for i in range(gaussian.K):\n", " dic['Pattern_{}'.format(i)]=bin_spots.index[gaussian.labels==i]" ] }, { "cell_type": "markdown", "id": "be235c0e", "metadata": {}, "source": [ "Save the anndata file to retrieve later" ] }, { "cell_type": "code", "execution_count": 17, "id": "d40f2d94", "metadata": { "tags": [] }, "outputs": [], "source": [ "adata_out = adata.copy()\n", "adata_out.uns['local_stat']['local_permI'] = 'None'\n", "adata_out.uns['local_stat']['local_permI_R'] = 'None'\n", "\n", "# sdm.write_spatialdm_h5ad(adata_out, filename='mel_sdm_out.h5ad')\n", "# sdm.read_spatialdm_h5ad(filename='mel_sdm_out.h5ad')" ] }, { "cell_type": "markdown", "id": "ab3c2b4e", "metadata": {}, "source": [ "Conduct pathway enrichment analysis" ] }, { "cell_type": "code", "execution_count": 18, "id": "8c5841bf", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
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total_genesquery_genesoverlapped_genesbackground_mapped_genesbackground_unmapped_genesselectedfisher_ppattern
pathway
ACTIVININHBA_ACVR1B_ACVR2A INHBA_ACVR1B_ACVR2A...{HLA-DMB_CD4, HLA-DRB5_CD4, CCL5_CCR1, HLA-C_C...{}{}{ANGPTL4_SDC4, TNC_ITGAV_ITGB3, C3_ITGAM_ITGB2...01.0Pattern_0
ADIPONECTINADIPOQ_ADIPOR1 ADIPOQ_ADIPOR1\n", "ADIPOQ_ADIPOR...{HLA-DMB_CD4, HLA-DRB5_CD4, CCL5_CCR1, HLA-C_C...{}{}{ANGPTL4_SDC4, TNC_ITGAV_ITGB3, C3_ITGAM_ITGB2...01.0Pattern_0
AGRNAGRN_DAG1 AGRN_DAG1\n", "Name: interaction_name,...{HLA-DMB_CD4, HLA-DRB5_CD4, CCL5_CCR1, HLA-C_C...{}{}{ANGPTL4_SDC4, TNC_ITGAV_ITGB3, C3_ITGAM_ITGB2...01.0Pattern_0
ALCAMALCAM_CD6 ALCAM_CD6\n", "Name: interaction_name,...{HLA-DMB_CD4, HLA-DRB5_CD4, CCL5_CCR1, HLA-C_C...{}{}{ANGPTL4_SDC4, TNC_ITGAV_ITGB3, C3_ITGAM_ITGB2...01.0Pattern_0
AMHAMH_AMHR2_BMPR1A AMH_AMHR2_BMPR1A\n", "AMH_AMHR2...{HLA-DMB_CD4, HLA-DRB5_CD4, CCL5_CCR1, HLA-C_C...{}{}{ANGPTL4_SDC4, TNC_ITGAV_ITGB3, C3_ITGAM_ITGB2...01.0Pattern_0
...........................
VISFATINNAMPT_INSR NAMPT_INSR\n", "NAMPT_I...{COL9A3_ITGA2_ITGB1, OCLN_OCLN, ANGPTL4_SDC4, ...{}{}{HLA-DRB5_CD4, C3_ITGAM_ITGB2, CCL21_CCR7, SEL...01.0Pattern_2
VWFVWF_ITGAV_ITGB3 VWF_ITGAV_I...{COL9A3_ITGA2_ITGB1, OCLN_OCLN, ANGPTL4_SDC4, ...{}{VWF_GP1BA_GP1BB_GP5_GP9}{HLA-DRB5_CD4, C3_ITGAM_ITGB2, CCL21_CCR7, SEL...01.0Pattern_2
WNTWNT10A_FZD9_LRP6 WNT10A_FZD9_LRP6\n", "WNT10A_...{COL9A3_ITGA2_ITGB1, OCLN_OCLN, ANGPTL4_SDC4, ...{}{}{HLA-DRB5_CD4, C3_ITGAM_ITGB2, CCL21_CCR7, SEL...01.0Pattern_2
XCRXCL1_XCR1 XCL1_XCR1\n", "Name: interaction_name,...{COL9A3_ITGA2_ITGB1, OCLN_OCLN, ANGPTL4_SDC4, ...{}{}{HLA-DRB5_CD4, C3_ITGAM_ITGB2, CCL21_CCR7, SEL...01.0Pattern_2
ncWNTWNT5B_FZD9 WNT5B_FZD9\n", "WNT5B_FZD8 WNT5B_F...{COL9A3_ITGA2_ITGB1, OCLN_OCLN, ANGPTL4_SDC4, ...{}{}{HLA-DRB5_CD4, C3_ITGAM_ITGB2, CCL21_CCR7, SEL...01.0Pattern_2
\n", "

408 rows × 8 columns

\n", "
" ], "text/plain": [ " total_genes \\\n", "pathway \n", "ACTIVIN INHBA_ACVR1B_ACVR2A INHBA_ACVR1B_ACVR2A... \n", "ADIPONECTIN ADIPOQ_ADIPOR1 ADIPOQ_ADIPOR1\n", "ADIPOQ_ADIPOR... \n", "AGRN AGRN_DAG1 AGRN_DAG1\n", "Name: interaction_name,... \n", "ALCAM ALCAM_CD6 ALCAM_CD6\n", "Name: interaction_name,... \n", "AMH AMH_AMHR2_BMPR1A AMH_AMHR2_BMPR1A\n", "AMH_AMHR2... \n", "... ... \n", "VISFATIN NAMPT_INSR NAMPT_INSR\n", "NAMPT_I... \n", "VWF VWF_ITGAV_ITGB3 VWF_ITGAV_I... \n", "WNT WNT10A_FZD9_LRP6 WNT10A_FZD9_LRP6\n", "WNT10A_... \n", "XCR XCL1_XCR1 XCL1_XCR1\n", "Name: interaction_name,... \n", "ncWNT WNT5B_FZD9 WNT5B_FZD9\n", "WNT5B_FZD8 WNT5B_F... \n", "\n", " query_genes \\\n", "pathway \n", "ACTIVIN {HLA-DMB_CD4, HLA-DRB5_CD4, CCL5_CCR1, HLA-C_C... \n", "ADIPONECTIN {HLA-DMB_CD4, HLA-DRB5_CD4, CCL5_CCR1, HLA-C_C... \n", "AGRN {HLA-DMB_CD4, HLA-DRB5_CD4, CCL5_CCR1, HLA-C_C... \n", "ALCAM {HLA-DMB_CD4, HLA-DRB5_CD4, CCL5_CCR1, HLA-C_C... \n", "AMH {HLA-DMB_CD4, HLA-DRB5_CD4, CCL5_CCR1, HLA-C_C... \n", "... ... \n", "VISFATIN {COL9A3_ITGA2_ITGB1, OCLN_OCLN, ANGPTL4_SDC4, ... \n", "VWF {COL9A3_ITGA2_ITGB1, OCLN_OCLN, ANGPTL4_SDC4, ... \n", "WNT {COL9A3_ITGA2_ITGB1, OCLN_OCLN, ANGPTL4_SDC4, ... \n", "XCR {COL9A3_ITGA2_ITGB1, OCLN_OCLN, ANGPTL4_SDC4, ... \n", "ncWNT {COL9A3_ITGA2_ITGB1, OCLN_OCLN, ANGPTL4_SDC4, ... \n", "\n", " overlapped_genes background_mapped_genes \\\n", "pathway \n", "ACTIVIN {} {} \n", "ADIPONECTIN {} {} \n", "AGRN {} {} \n", "ALCAM {} {} \n", "AMH {} {} \n", "... ... ... \n", "VISFATIN {} {} \n", "VWF {} {VWF_GP1BA_GP1BB_GP5_GP9} \n", "WNT {} {} \n", "XCR {} {} \n", "ncWNT {} {} \n", "\n", " background_unmapped_genes selected \\\n", "pathway \n", "ACTIVIN {ANGPTL4_SDC4, TNC_ITGAV_ITGB3, C3_ITGAM_ITGB2... 0 \n", "ADIPONECTIN {ANGPTL4_SDC4, TNC_ITGAV_ITGB3, C3_ITGAM_ITGB2... 0 \n", "AGRN {ANGPTL4_SDC4, TNC_ITGAV_ITGB3, C3_ITGAM_ITGB2... 0 \n", "ALCAM {ANGPTL4_SDC4, TNC_ITGAV_ITGB3, C3_ITGAM_ITGB2... 0 \n", "AMH {ANGPTL4_SDC4, TNC_ITGAV_ITGB3, C3_ITGAM_ITGB2... 0 \n", "... ... ... \n", "VISFATIN {HLA-DRB5_CD4, C3_ITGAM_ITGB2, CCL21_CCR7, SEL... 0 \n", "VWF {HLA-DRB5_CD4, C3_ITGAM_ITGB2, CCL21_CCR7, SEL... 0 \n", "WNT {HLA-DRB5_CD4, C3_ITGAM_ITGB2, CCL21_CCR7, SEL... 0 \n", "XCR {HLA-DRB5_CD4, C3_ITGAM_ITGB2, CCL21_CCR7, SEL... 0 \n", "ncWNT {HLA-DRB5_CD4, C3_ITGAM_ITGB2, CCL21_CCR7, SEL... 0 \n", "\n", " fisher_p pattern \n", "pathway \n", "ACTIVIN 1.0 Pattern_0 \n", "ADIPONECTIN 1.0 Pattern_0 \n", "AGRN 1.0 Pattern_0 \n", "ALCAM 1.0 Pattern_0 \n", "AMH 1.0 Pattern_0 \n", "... ... ... \n", "VISFATIN 1.0 Pattern_2 \n", "VWF 1.0 Pattern_2 \n", "WNT 1.0 Pattern_2 \n", "XCR 1.0 Pattern_2 \n", "ncWNT 1.0 Pattern_2 \n", "\n", "[408 rows x 8 columns]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pathway_res = sdm.compute_pathway(adata,dic=dic)\n", "pathway_res" ] }, { "cell_type": "markdown", "id": "9049c081", "metadata": {}, "source": [ "In the dot plot of the lymphoid-associated pattern, we identified CD23 and other immune-related pathways." ] }, { "cell_type": "code", "execution_count": 19, "id": "c3259bb7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.dot_path(pathway_res, figsize=(6,12))" ] }, { "cell_type": "code", "execution_count": null, "id": "173464e2-75bd-4f0d-8703-a5561e3b3a0c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "662a4674", "metadata": {}, "source": [ "Misc:\n", "\n", "SpatialDM provides `chord_celltype` and other chord diagrams to visualize the aggregated cell types (or interactions).\n", "\n", "Change the next block from text to code to make the chord plot:" ] }, { "cell_type": "raw", "id": "1353a6cc-7bdc-4980-8812-6f3d709575fc", "metadata": { "scrolled": true, "tags": [] }, "source": [ "adata.obsm['celltypes'] = adata.obs[adata.obs.columns]\n", "pl.chord_celltype(adata, pairs=['FCER2A_CR2'], ncol=1, min_quantile=0.01)\n", "# save='mel_FCER2A_CR2_ct.svg'" ] }, { "cell_type": "code", "execution_count": null, "id": "1f2b5a3c-fdbb-43f0-80ed-472815e87a38", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.3" } }, "nbformat": 4, "nbformat_minor": 5 }