{ "cells": [ { "cell_type": "markdown", "id": "49ea9585-9591-494a-9bbf-b63dcf3af037", "metadata": {}, "source": [ "## Examine spatial dependency patterns in real datasets" ] }, { "cell_type": "markdown", "id": "f46a9d7f", "metadata": {}, "source": [ "In this tutorial, we will explore the spatial structure in various ST datasets. Technologies profiled include 10x Visium, Slide-seqV2, Stereo-seq, Spatial-CUT&Tag. All preprocessed datasets can be downloaded from [SODB](https://gene.ai.tencent.com/SpatialOmics/). " ] }, { "cell_type": "code", "execution_count": 1, "id": "6014568a-45f1-4dcc-9a8c-8a3750b1a32c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import itertools\n", "import torch\n", "import numpy as np\n", "import pandas as pd\n", "from plotnine import *\n", "import patchworklib as pw\n", "\n", "import smoother\n", "from smoother.utils import *\n", "\n", "import scanpy as sc\n", "import anndata" ] }, { "cell_type": "markdown", "id": "7b825f54", "metadata": {}, "source": [ "Datasets include:\n", "- 10x Visium human brain dorsolateral prefrontal cortex (DLPFC). \n", " - Maynard, Kristen R., et al. \"Transcriptome-scale spatial gene expression in the human dorsolateral prefrontal cortex.\" Nature neuroscience 24.3 (2021): 425-436.\n", "- 10x Visium human pancreatic ductal adenocarcinoma (PDAC). \n", " - Barkley, Dalia, et al. \"Cancer cell states recur across tumor types and form specific interactions with the tumor microenvironment.\" Nature genetics 54.8 (2022): 1192-1201.\n", "- Slide-seqV2 mouse hippocampus. \n", " - Stickels, Robert R., et al. \"Highly sensitive spatial transcriptomics at near-cellular resolution with Slide-seqV2.\" Nature biotechnology 39.3 (2021): 313-319.\n", "- Slide-seqV2 human melanoma brain metastasis (MBM). \n", " - Biermann, Jana, et al. \"Dissecting the treatment-naive ecosystem of human melanoma brain metastasis.\" Cell 185.14 (2022): 2591-2608.\n", "- Stereo-seq axolotl brain (segmented and binned at single-cell resolution). \n", " - Wei, Xiaoyu, et al. \"Single-cell Stereo-seq reveals induced progenitor cells involved in axolotl brain regeneration.\" Science 377.6610 (2022): eabp9444.\n", "- Stereo-seq human colorectal cancer (CRC, binned into 50 µm x 50 µm spots). \n", " - Zhang, Rongxin, et al. \"Spatial transcriptome unveils a discontinuous inflammatory pattern in proficient mismatch repair colorectal adenocarcinoma.\" Fundamental Research (2022).\n", "- Spatial-CUT&Tag mouse embryo, H3K4me3 20µm. \n", " - Deng, Yanxiang, et al. \"Spatial-CUT&Tag: spatially resolved chromatin modification profiling at the cellular level.\" Science 375.6581 (2022): 681-686.\n", "- Spatial-CUT&Tag mouse embryo, H3K4me3 50µm. \n", " - Deng, Yanxiang, et al. \"Spatial-CUT&Tag: spatially resolved chromatin modification profiling at the cellular level.\" Science 375.6581 (2022): 681-686.\n", "- Shuffled Stereo-seq single-cell resolution data. \n", " - Per contamination rate p, each spot contains 1-p of its original RNA counts and p of RNA counts from its adjacent neighbors. " ] }, { "cell_type": "code", "execution_count": 2, "id": "1f88ff4f-2eea-4e4f-bd28-c2bc88feae24", "metadata": {}, "outputs": [], "source": [ "# all preprocessed ST data downloaded were from https://gene.ai.tencent.com/SpatialOmics/\n", "data_dir = \"/Users/jysumac/Projects/Smoother_paper/data/sodb_samples/\"" ] }, { "cell_type": "markdown", "id": "34a0c1e4-932c-49cc-8adc-33d6887b9a68", "metadata": {}, "source": [ "### 10X Visium" ] }, { "cell_type": "markdown", "id": "ea40684b-839f-4d18-8f8d-6e1d4f75b6a5", "metadata": {}, "source": [ "#### Normal - Brain" ] }, { "cell_type": "code", "execution_count": 3, "id": "9b4c2b63-e2e3-4276-9c1c-69a0d66067a1", "metadata": {}, "outputs": [], "source": [ "data = sc.read_h5ad(data_dir + \"visium_normal/10X_Visium_maynard2021trans_151673_data.h5ad\")\n", "features = torch.tensor(data.obsm['X_pca'])[:,0:20].T\n", "coords = data.obsm['spatial']" ] }, { "cell_type": "code", "execution_count": 4, "id": "aa2c43e6-3b03-444d-80c4-56304bc39f8b", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:00<00:00, 559.76it/s]\n", "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 51/51 [00:00<00:00, 249.56it/s]\n" ] } ], "source": [ "df_k = quantile_feature_similarity_neighbor(features, coords, k = 6, reduce = 'none')\n", "df_all = quantile_feature_similarity_decay(features, coords, reduce = 'none')" ] }, { "cell_type": "code", "execution_count": 5, "id": "6b1a5f9f-bc8d-43d5-a8fb-ade91df5a3bd", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g1 = plot_similarity_cdf(df_k, title = '10X Visium - Brain cortex') + labs(y = 'CDF of cosine similarity\\nbetween neighbors (k=6)')\n", "g2 = plot_similarity_decay(df_all, title = '10X Visium - Brain cortex')\n", "\n", "g1 = pw.load_ggplot(g1, figsize=(2,2))\n", "g2 = pw.load_ggplot(g2, figsize=(2,2))\n", "g12 = (g1|g2)\n", "g12.savefig()" ] }, { "cell_type": "markdown", "id": "5e0277de-59e5-493c-a164-5a96baf3129b", "metadata": {}, "source": [ "#### Tumor - HGSC" ] }, { "cell_type": "code", "execution_count": 6, "id": "81bb1a77-8e8c-4e79-8e17-136f74359c61", "metadata": {}, "outputs": [], "source": [ "data = sc.read_h5ad(data_dir + \"visium_tumor/10X_Visium_gracia2021genome_HGSC_V19T26-103_A1_data.h5ad\")\n", "features = torch.tensor(data.obsm['X_pca'])[:,0:20].T\n", "coords = data.obsm['spatial']" ] }, { "cell_type": "code", "execution_count": 7, "id": "316bb3c2-b7b0-4be4-9d06-e1cd12f4c4f5", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:00<00:00, 465.68it/s]\n", "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 51/51 [00:00<00:00, 167.82it/s]\n" ] } ], "source": [ "df_k = quantile_feature_similarity_neighbor(features, coords, k = 6, reduce = 'none')\n", "df_all = quantile_feature_similarity_decay(features, coords, reduce = 'none')" ] }, { "cell_type": "code", "execution_count": 8, "id": "71a76ee1-4e56-4432-afb2-32aedc0802d5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g1 = plot_similarity_cdf(df_k, title = '10X Visium - HGSC') + labs(y = 'CDF of cosine similarity\\nbetween neighbors (k=6)')\n", "g2 = plot_similarity_decay(df_all, title = '10X Visium - HGSC')\n", "\n", "g1 = pw.load_ggplot(g1, figsize=(2,2))\n", "g2 = pw.load_ggplot(g2, figsize=(2,2))\n", "g12 = (g1|g2)\n", "g12.savefig()" ] }, { "cell_type": "markdown", "id": "b3acc6f2-02f5-4b90-a3ff-2820eb5677ed", "metadata": {}, "source": [ "#### Tumor - PDAC" ] }, { "cell_type": "code", "execution_count": 9, "id": "aa81fb9e-c82f-4737-ad36-fc470589acbe", "metadata": {}, "outputs": [], "source": [ "data = sc.read_h5ad(data_dir + \"visium_tumor/10X_Visium_Barkley2022Cancer_GSM6177618_NYU_PDAC1_Vis_processed_data.h5ad\")\n", "features = torch.tensor(data.obsm['X_pca'])[:,0:20].T\n", "coords = data.obsm['spatial']" ] }, { "cell_type": "code", "execution_count": 10, "id": "55cc12ed-a387-4275-ae4f-03446b7520bc", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:00<00:00, 1114.66it/s]\n", "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 51/51 [00:00<00:00, 478.93it/s]\n" ] } ], "source": [ "df_k = quantile_feature_similarity_neighbor(features, coords, k = 6, reduce = 'none')\n", "df_all = quantile_feature_similarity_decay(features, coords, reduce = 'none')" ] }, { "cell_type": "code", "execution_count": 11, "id": "9ec0835c-3c61-474b-a4b4-a4f7b9d0e2e8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g1 = plot_similarity_cdf(df_k, title = '10X Visium - PDAC') + labs(y = 'CDF of cosine similarity\\nbetween neighbors (k=6)')\n", "g2 = plot_similarity_decay(df_all, title = '10X Visium - PDAC')\n", "\n", "g1 = pw.load_ggplot(g1, figsize=(2,2))\n", "g2 = pw.load_ggplot(g2, figsize=(2,2))\n", "g12 = (g1|g2)\n", "g12.savefig()" ] }, { "cell_type": "markdown", "id": "e4f7ed65-e647-4f55-9cfa-e2abd624c1b3", "metadata": {}, "source": [ "### Slide-seqV2" ] }, { "cell_type": "raw", "id": "365dc788-5197-4ab7-a073-7e29280b369c", "metadata": {}, "source": [ "# # Slide-seqV2 data is somewhat sparser\n", "# sc.pp.calculate_qc_metrics(data, qc_vars=[], percent_top=None, log1p=False, inplace=True)\n", "# sc.pl.violin(data, ['n_genes_by_counts', 'total_counts'], multi_panel=True, stripplot=False)" ] }, { "cell_type": "markdown", "id": "fb333263-3193-4b1a-b6f8-dca6ffb2a2da", "metadata": {}, "source": [ "#### Normal - Mouse brain cortex" ] }, { "cell_type": "code", "execution_count": 12, "id": "99d70469-1d12-4f4e-aea5-7cc510237a7e", "metadata": {}, "outputs": [], "source": [ "data = sc.read_h5ad(data_dir + \"Slide-seq_normal/Slide-seqV2_stickels2020highly_stickels2021highly_Slide-seqV2_Mouse_Hippocampus_Puck_200115_08_data_whole.h5ad\")\n", "features = torch.tensor(data.obsm['X_pca'])[:,0:20].T\n", "coords = data.obsm['spatial']" ] }, { "cell_type": "code", "execution_count": 13, "id": "da899740-6684-4716-9403-a7b8e6f00de4", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 50/50 [00:00<00:00, 65.11it/s]\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 51/51 [00:04<00:00, 12.12it/s]\n" ] } ], "source": [ "df_k = quantile_feature_similarity_neighbor(features, coords, k = 4, reduce = 'none', n_null = 50)\n", "df_all = quantile_feature_similarity_decay(features, coords, reduce = 'none')" ] }, { "cell_type": "code", "execution_count": 14, "id": "76aeb4c5-b325-43b3-8a72-919582a2f8fd", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g1 = plot_similarity_cdf(df_k, title = 'Slide-seqV2 - Mouse brain') + labs(y = 'CDF of cosine similarity\\nbetween neighbors (k=4)')\n", "g2 = plot_similarity_decay(df_all, title = 'Slide-seqV2 - Mouse brain')\n", "\n", "g1 = pw.load_ggplot(g1, figsize=(2,2))\n", "g2 = pw.load_ggplot(g2, figsize=(2,2))\n", "g12 = (g1|g2)\n", "g12.savefig()" ] }, { "cell_type": "markdown", "id": "5e5d99ee-ae9d-47cd-8ffd-de1439a625fc", "metadata": {}, "source": [ "#### Tumor - MBM" ] }, { "cell_type": "code", "execution_count": 15, "id": "76db0da2-895b-4c21-ab3d-421c9b1ffd58", "metadata": {}, "outputs": [], "source": [ "data = sc.read_h5ad(data_dir + \"Slide-seq_tumor/Slide-seqV2_Biermann2022Dissecting_GSM6025935_MBM05_rep1_data.h5ad\")\n", "features = torch.tensor(data.obsm['X_pca'])[:,0:20].T\n", "coords = data.obsm['spatial']" ] }, { "cell_type": "code", "execution_count": 16, "id": "54bf62c3-5dd5-4644-8a74-81d2b6f9c45b", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 50/50 [00:00<00:00, 111.21it/s]\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 51/51 [00:02<00:00, 19.93it/s]\n" ] } ], "source": [ "df_k = quantile_feature_similarity_neighbor(features, coords, k = 4, reduce = 'none', n_null = 50)\n", "df_all = quantile_feature_similarity_decay(features, coords, reduce = 'none')" ] }, { "cell_type": "code", "execution_count": 17, "id": "ce7ddabd-655f-4611-ba26-f14eea852d64", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g1 = plot_similarity_cdf(df_k, title = 'Slide-seqV2 - MBM') + labs(y = 'CDF of cosine similarity\\nbetween neighbors (k=4)')\n", "g2 = plot_similarity_decay(df_all, title = 'Slide-seqV2 - MBM')\n", "\n", "g1 = pw.load_ggplot(g1, figsize=(2,2))\n", "g2 = pw.load_ggplot(g2, figsize=(2,2))\n", "g12 = (g1|g2)\n", "g12.savefig()" ] }, { "cell_type": "markdown", "id": "3eb754cf-8fbe-4d28-aef0-155c1bc0ee74", "metadata": {}, "source": [ "### Stereo-seq" ] }, { "cell_type": "markdown", "id": "5792849f-f388-4925-9655-17923178949b", "metadata": {}, "source": [ "#### Normal - Axolotl brain (single-cell segmentation)" ] }, { "cell_type": "code", "execution_count": 18, "id": "86fa199f-2e16-47fe-8e07-53f00a30be6b", "metadata": {}, "outputs": [], "source": [ "data = sc.read_h5ad(data_dir + \"Stereo-seq_normal/Stereo-seq_wei2022single_60DPI_data.h5ad\")\n", "features = torch.tensor(data.obsm['X_pca'])[:,0:20].T\n", "coords = data.obsm['spatial']" ] }, { "cell_type": "code", "execution_count": 19, "id": "ebc092ea-6455-4954-a45e-f90bf962386f", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:00<00:00, 215.16it/s]\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 51/51 [00:00<00:00, 58.72it/s]\n" ] } ], "source": [ "df_k = quantile_feature_similarity_neighbor(features, coords, k = 4, reduce = 'none', n_null = 100)\n", "df_all = quantile_feature_similarity_decay(features, coords, reduce = 'none')" ] }, { "cell_type": "code", "execution_count": 20, "id": "54e94acd-c2a6-4801-89a0-3e1fa23ad598", "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g1 = plot_similarity_cdf(df_k, title = 'Stereo-seq - Axolotl brain') + labs(y = 'CDF of cosine similarity\\nbetween neighbors (k=4)')\n", "g2 = plot_similarity_decay(df_all, title = 'Stereo-seq - Axolotl brain')\n", "\n", "g1 = pw.load_ggplot(g1, figsize=(2,2))\n", "g2 = pw.load_ggplot(g2, figsize=(2,2))\n", "g12 = (g1|g2)\n", "g12.savefig()" ] }, { "cell_type": "markdown", "id": "9844fc28-8ef0-4b48-a62c-ddaad5cda619", "metadata": {}, "source": [ "#### Tumor - CRC" ] }, { "cell_type": "code", "execution_count": 21, "id": "0c559f93-2df2-4864-9470-fda2f8b2b0f0", "metadata": {}, "outputs": [], "source": [ "data = sc.read_h5ad(\"/Users/jysumac/Projects/Smoother_paper/data/crc_stereo/\"\n", " \"P19_T.h5ad\")\n", "sc.pp.normalize_total(data, target_sum=1e4)\n", "sc.pp.log1p(data)\n", "sc.pp.highly_variable_genes(data)\n", "sc.pp.scale(data)\n", "sc.tl.pca(data)\n", "features = torch.tensor(data.obsm['X_pca'])[:,0:20].T\n", "coords = data.obs[['x', 'y']]" ] }, { "cell_type": "code", "execution_count": 22, "id": "8eb3776f-90ff-4d97-a1e9-046d87ece4c0", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:00<00:00, 193.82it/s]\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 51/51 [00:01<00:00, 35.67it/s]\n" ] } ], "source": [ "df_k = quantile_feature_similarity_neighbor(features, coords, k = 4, reduce = 'none', n_null = 100)\n", "df_all = quantile_feature_similarity_decay(features, coords, reduce = 'none')" ] }, { "cell_type": "code", "execution_count": 23, "id": "b17905cc-26f3-4878-8532-bdbeec841007", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g1 = plot_similarity_cdf(df_k, title = 'Stereo-seq - CRC') + labs(y = 'CDF of cosine similarity\\nbetween neighbors (k=4)')\n", "g2 = plot_similarity_decay(df_all, title = 'Stereo-seq - CRC')\n", "\n", "g1 = pw.load_ggplot(g1, figsize=(2,2))\n", "g2 = pw.load_ggplot(g2, figsize=(2,2))\n", "g12 = (g1|g2)\n", "g12.savefig()" ] }, { "cell_type": "markdown", "id": "ea86b31b-a003-4aef-b7c7-dc9d46b2caaa", "metadata": {}, "source": [ "### Spatial-CUT&TAG" ] }, { "cell_type": "markdown", "id": "e6fadc6c-9302-4e42-93ee-0dc554740b33", "metadata": {}, "source": [ "#### H3Kme3 - 20um" ] }, { "cell_type": "code", "execution_count": 24, "id": "f9678628-2322-4ca6-a71f-21045ac9d3a4", "metadata": {}, "outputs": [], "source": [ "data = pd.read_csv(\n", " \"/Users/jysumac/Projects/Smoother_paper/data/cutntag_processed/H3K4me3.20um.all_gene_score.csv\",\n", " index_col=0\n", ")\n", "data = anndata.AnnData(data.T)\n", "sc.pp.normalize_total(data, target_sum=1e4)\n", "sc.pp.log1p(data)\n", "sc.pp.highly_variable_genes(data)\n", "sc.pp.scale(data)\n", "sc.tl.pca(data)" ] }, { "cell_type": "code", "execution_count": 25, "id": "ff260d29-73c6-4208-98e6-2581bf171770", "metadata": {}, "outputs": [], "source": [ "features = torch.tensor(data.obsm['X_pca'].copy())[:,0:20].T\n", "coords = pd.read_csv(\n", " \"/Users/jysumac/Projects/Smoother_paper/data/cutntag_processed/H3K4me3.20um.coord.csv\",\n", " index_col=0\n", ")" ] }, { "cell_type": "code", "execution_count": 26, "id": "dda6f0c4-097f-47d1-ad9b-8bfb02c07c61", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:00<00:00, 1248.67it/s]\n", "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 51/51 [00:00<00:00, 377.80it/s]\n" ] } ], "source": [ "df_k = quantile_feature_similarity_neighbor(features, coords, k = 4, reduce = 'none', n_null = 100)\n", "df_all = quantile_feature_similarity_decay(features, coords, reduce = 'none')" ] }, { "cell_type": "code", "execution_count": 27, "id": "ce00d9e7-3299-4d63-a7ea-107a75316217", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g1 = plot_similarity_cdf(df_k, title = 'Spatial-CUT&Tag - H3K4me3\\nMouse embryo - 20um') + labs(y = 'CDF of cosine similarity\\nbetween neighbors (k=4)')\n", "g2 = plot_similarity_decay(df_all, title = 'Spatial-CUT&Tag - H3K4me3\\nMouse embryo - 20um')\n", "\n", "g1 = pw.load_ggplot(g1, figsize=(2,2))\n", "g2 = pw.load_ggplot(g2, figsize=(2,2))\n", "g12 = (g1|g2)\n", "g12.savefig()" ] }, { "cell_type": "markdown", "id": "922cd057-7a89-430d-b251-c76dbf89ce13", "metadata": {}, "source": [ "#### H3Kme3 - 50um" ] }, { "cell_type": "code", "execution_count": 28, "id": "ceed6aba-c29e-48bc-9d8a-8eca1ee3e282", "metadata": {}, "outputs": [], "source": [ "data = pd.read_csv(\n", " \"/Users/jysumac/Projects/Smoother_paper/data/cutntag_processed/H3K4me3.50um.all_gene_score.csv\",\n", " index_col=0\n", ")\n", "data = anndata.AnnData(data.T)\n", "sc.pp.normalize_total(data, target_sum=1e4)\n", "sc.pp.log1p(data)\n", "sc.pp.highly_variable_genes(data)\n", "sc.pp.scale(data)\n", "sc.tl.pca(data)" ] }, { "cell_type": "code", "execution_count": 29, "id": "c741c2f9-2437-4d82-aed0-88cc72effd19", "metadata": {}, "outputs": [], "source": [ "features = torch.tensor(data.obsm['X_pca'].copy())[:,0:20].T\n", "coords = pd.read_csv(\n", " \"/Users/jysumac/Projects/Smoother_paper/data/cutntag_processed/H3K4me3.50um.coord.csv\",\n", " index_col=0\n", ")" ] }, { "cell_type": "code", "execution_count": 30, "id": "6db812f5-143b-4072-aa5b-b97a572c09af", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:00<00:00, 667.32it/s]\n", "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 51/51 [00:00<00:00, 399.14it/s]\n" ] } ], "source": [ "df_k = quantile_feature_similarity_neighbor(features, coords, k = 4, reduce = 'none', n_null = 100)\n", "df_all = quantile_feature_similarity_decay(features, coords, reduce = 'none')" ] }, { "cell_type": "code", "execution_count": 31, "id": "a126d3dc-f0de-40ce-a171-2ed7987f2733", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g1 = plot_similarity_cdf(df_k, title = 'Spatial-CUT&Tag - H3K4me3\\nMouse embryo - 50um') + labs(y = 'CDF of cosine similarity\\nbetween neighbors (k=4)')\n", "g2 = plot_similarity_decay(df_all, title = 'Spatial-CUT&Tag - H3K4me3\\nMouse embryo - 50um')\n", "\n", "g1 = pw.load_ggplot(g1, figsize=(2,2))\n", "g2 = pw.load_ggplot(g2, figsize=(2,2))\n", "g12 = (g1|g2)\n", "g12.savefig()" ] }, { "cell_type": "markdown", "id": "ee8efb3c-4468-461e-ba1d-0f44483a592c", "metadata": {}, "source": [ "### Simulated data" ] }, { "cell_type": "code", "execution_count": 32, "id": "888153f9-a314-4721-b00d-05b227fd3d98", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of spots: 10964. Average number of neighbors per spot: 4.87.\n" ] } ], "source": [ "data = sc.read_h5ad(data_dir + \"Stereo-seq_normal/Stereo-seq_wei2022single_60DPI_data.h5ad\")\n", "# shuffle the data\n", "features_T = torch.tensor(data.X.toarray()).to_sparse()\n", "coords = data.obsm['spatial'].copy()\n", "np.random.shuffle(coords)\n", "\n", "# construct spatial weights for swapping\n", "swm = smoother.SpatialWeightMatrix()\n", "swm.calc_weights_dist(coords, radius_cutoff=50, row_scale=True)" ] }, { "cell_type": "code", "execution_count": 33, "id": "c57ccf38-fca0-4e10-896e-aa7dc78ab9f7", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:01<00:00, 99.00it/s]\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 51/51 [00:00<00:00, 65.01it/s]\n", "100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:01<00:00, 99.11it/s]\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 51/51 [00:00<00:00, 57.67it/s]\n", "100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:01<00:00, 86.73it/s]\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 51/51 [00:00<00:00, 63.63it/s]\n" ] } ], "source": [ "props = [0, 0.2, 0.5]\n", "df_k_list, df_all_list = [], []\n", "for p in props:\n", " # each new spot will contain 1-p of the original counts and p counts from its neighbors\n", " scaling = swm.swm * p + torch.sparse_coo_tensor(\n", " torch.arange(features_T.shape[0]).repeat(2,1),\n", " torch.ones(features_T.shape[0]),\n", " swm.swm.shape\n", " ) * (1-p)\n", " new_f = scaling @ features_T\n", "\n", " # calculate stats\n", " df_k = quantile_feature_similarity_neighbor(new_f.to_dense().T, coords, k = 4, reduce = 'pca', dim = 20, n_null = 100)\n", " df_k['swap_props'] = p\n", " df_all = quantile_feature_similarity_decay(new_f.to_dense().T, coords, reduce = 'pca', dim = 20)\n", " df_all['swap_props'] = p\n", " \n", " df_k_list.append(df_k)\n", " df_all_list.append(df_all)" ] }, { "cell_type": "code", "execution_count": 34, "id": "55df2d37-c4b7-46c0-9dab-d5291dde4ecd", "metadata": {}, "outputs": [], "source": [ "df_k = pd.concat(df_k_list)\n", "df_k = df_k[df_k['Data'] == 'Observed']\n", "df_k['Data'][df_k['swap_props'] == 0] = 'No swapping'\n", "df_k['Data'][df_k['swap_props'] == 0.2] = '20% contamination'\n", "df_k['Data'][df_k['swap_props'] == 0.5] = '50% contamination'" ] }, { "cell_type": "code", "execution_count": 35, "id": "dbaf949e-d3b5-4dd5-8377-491c8de1ed45", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g0 = plot_similarity_cdf(df_k, title = 'Spot swapping on shuffled data') + \\\n", " labs(y = 'CDF of cosine similarity\\nbetween neighbors (k=4)')\n", "g1 = plot_similarity_decay(df_all_list[0], title = 'No swapping')\n", "g2 = plot_similarity_decay(df_all_list[1], title = '20% contamination')\n", "g3 = plot_similarity_decay(df_all_list[2], title = '50% contamination')\n", "\n", "g0 = pw.load_ggplot(g0, figsize=(2,2))\n", "g1 = pw.load_ggplot(g1, figsize=(2,2))\n", "g2 = pw.load_ggplot(g2, figsize=(2,2))\n", "g3 = pw.load_ggplot(g3, figsize=(2,2))\n", "\n", "g = (g0|g1|g2|g3)\n", "g.savefig()" ] }, { "cell_type": "code", "execution_count": null, "id": "ba863cd3-33a3-4049-8d8e-ce940df967d0", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "smoother", "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }