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https://github.com/Teichlab/SpatialDE

Test genes for Spatial Variation
https://github.com/Teichlab/SpatialDE

Last synced: 16 days ago
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Test genes for Spatial Variation

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README

        

{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# SpatialDE\n",
"\n",
"**SpatialDE** is a method to identify genes which significantly depend on spatial coordinates in non-linear and non-parametric ways. The intended applications are spatially resolved RNA-sequencing from e.g. Spatial Transcriptomics, or _in situ_ gene expression measurements from e.g. SeqFISH or MERFISH.\n",
"\n",
"Additionally, SpatialDE provides **automatic expression histology**, a method that groups genes into common spatial patterns (and conversely reveal histological patterns based on gene coexpression).\n",
"\n",
"This repository contains both the implementations of our methods, as well as case studies in applying it.\n",
"\n",
"The key features of our method are\n",
"\n",
" - Unsupervised - No need to define spatial regions\n",
" - Non-parametric and non-linear expression patterns\n",
" - Automatic histology based on spatially coexpressed genes\n",
" - Extremely fast - Transcriptome wide tests takes only a few minutes on normal computers\n",
" \n",
"The primary implementation is as a Python 3 package, and can be installed from the command line by \n",
"\n",
"```\n",
"$ pip install spatialde\n",
"```\n",
"\n",
"(This should only take a minute or so on a typical system)\n",
"\n",
"To see usage example of SpatialDE either keep reading, or look in the `Analysis` directory. The following examples are provided:\n",
"\n",
" - `BreastCancer` - Transcriptome wide study on breast cancer tissue from Spatial Transcriptomics.\n",
" - `Frog` - A time course of RNA-seq (\"1-d space\") of _Xenopus_ development.\n",
" - `MERFISH` - Expression from single cells in a region of an osteoblast culture using the MERFISH technology with 140 probes.\n",
" - `MouseOB` - Spatial Transcriptomics assay of a slice of Mouse Olfactory Bulb. (Also see below).\n",
" - `SeqFISH` - Expression counts of single cells from mouse hippocampus using the SeqFISH technology with 249 probes.\n",
" \n",
"If you wish to look at the data used or run the notebooks and scripts from start to finish, the data needs to be fetched using [`git lfs`](https://git-lfs.github.com/), a plugin to `git` for managing large files. Installation instructions are available on the projects [website](https://git-lfs.github.com/). Once `git lfs` is installed and you have cloned this repository, data can be downloaded by running `git lfs pull` from inside any repository directory.\n",
"\n",
"Below follows a typical usage example in interactive form."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## SpatialDE significance test example use"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"import pandas as pd\n",
"\n",
"rcParams['axes.spines.right'] = False\n",
"rcParams['axes.spines.top'] = False\n",
"\n",
"import NaiveDE\n",
"import SpatialDE"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As an example, let us look at spatially dependent gene expression in Mouse Olfactory Bulb using a data set published in [Stahl et al 2016](http://dx.doi.org/10.1126/science.aaf2403). With the authors method, hundrads of locations on a tissue slice can be sampled at once, and gene expression is measured by sequencing in an unbiased whole-transcriptome manner."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(262, 14859)\n"
]
},
{
"data": {
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"\n",
" \n",
" \n",
" \n",
" Nrf1\n",
" Zbtb5\n",
" Ccnl1\n",
" Lrrfip1\n",
" Bbs1\n",
" \n",
" \n",
" \n",
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" 16.92x9.015\n",
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" 16.945x11.075\n",
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" 3\n",
" 2\n",
" 2\n",
" \n",
" \n",
" 16.97x10.118\n",
" 0\n",
" 1\n",
" 1\n",
" 0\n",
" 0\n",
" \n",
" \n",
" 16.939x12.132\n",
" 1\n",
" 0\n",
" 1\n",
" 0\n",
" 4\n",
" \n",
" \n",
" 16.949x13.055\n",
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"text/plain": [
" Nrf1 Zbtb5 Ccnl1 Lrrfip1 Bbs1\n",
"16.92x9.015 1 1 1 2 1\n",
"16.945x11.075 0 0 3 2 2\n",
"16.97x10.118 0 1 1 0 0\n",
"16.939x12.132 1 0 1 0 4\n",
"16.949x13.055 0 0 0 3 0"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"counts = pd.read_csv('Analysis/MouseOB/data/Rep11_MOB_0.csv', index_col=0)\n",
"counts = counts.T[counts.sum(0) >= 3].T # Filter practically unobserved genes\n",
"\n",
"print(counts.shape)\n",
"counts.iloc[:5, :5]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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"\n",
"\n",
" \n",
" \n",
" \n",
" x\n",
" y\n",
" total_counts\n",
" \n",
" \n",
" \n",
" \n",
" 16.92x9.015\n",
" 16.920\n",
" 9.015\n",
" 18790\n",
" \n",
" \n",
" 16.945x11.075\n",
" 16.945\n",
" 11.075\n",
" 36990\n",
" \n",
" \n",
" 16.97x10.118\n",
" 16.970\n",
" 10.118\n",
" 12471\n",
" \n",
" \n",
" 16.939x12.132\n",
" 16.939\n",
" 12.132\n",
" 22703\n",
" \n",
" \n",
" 16.949x13.055\n",
" 16.949\n",
" 13.055\n",
" 18641\n",
" \n",
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"\n",
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"
],
"text/plain": [
" x y total_counts\n",
"16.92x9.015 16.920 9.015 18790\n",
"16.945x11.075 16.945 11.075 36990\n",
"16.97x10.118 16.970 10.118 12471\n",
"16.939x12.132 16.939 12.132 22703\n",
"16.949x13.055 16.949 13.055 18641"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sample_info = pd.read_csv('Analysis/MouseOB/MOB_sample_info.csv', index_col=0)\n",
"counts = counts.loc[sample_info.index] # Align count matrix with metadata table\n",
"\n",
"sample_info.head(5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can plot the x and y coordinates in the sample info table to see which locations of the tissue slice has been sampled."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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bpZbTtP06plNBfxD4C+arl14B/CfMV52eJXYN2AA2ptNp2NnvR9QXJUr43OMMklLiUsup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\nhfD/qLd/7IFS9FUAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(6, 4)\n",
"plt.scatter(sample_info['x'], sample_info['y'], c='k');\n",
"plt.axis('equal');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Our method assumes normally distributed noise, but the data we are using is from expression counts, and empirically seems to follow a negative binomial distribution. We use technique by Anscombe to approximately transform the data to normal distributed noise.\n",
"\n",
"Secondly, library size or sequencing depth of the spatial samples will bias the expression of every gene. We use linear regression to account for this effect before performing the spatial test."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"norm_expr = NaiveDE.stabilize(counts.T).T\n",
"resid_expr = NaiveDE.regress_out(sample_info, norm_expr.T, 'np.log(total_counts)').T"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For the sake of this example, let's just run the test on 1000 random genes. This should just take a few seconds. With our very fast implementation, testing all 14,000 genes takes about 10 minutes."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO:root:Performing DE test\n",
"INFO:root:Pre-calculating USU^T = K's ...\n",
"INFO:root:Done: 0.11s\n",
"INFO:root:Fitting gene models\n",
"INFO:root:Model 1 of 10\n",
"INFO:root:Model 2 of 10 \n",
"INFO:root:Model 3 of 10 \n",
"INFO:root:Model 4 of 10 \n",
"INFO:root:Model 5 of 10 \n",
"INFO:root:Model 6 of 10 \n",
"INFO:root:Model 7 of 10 \n",
"INFO:root:Model 8 of 10 \n",
"INFO:root:Model 9 of 10 \n",
"INFO:root:Model 10 of 10 \n",
" \r"
]
}
],
"source": [
"sample_resid_expr = resid_expr.sample(n=1000, axis=1, random_state=1)\n",
"\n",
"X = sample_info[['x', 'y']]\n",
"results = SpatialDE.run(X, sample_resid_expr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The result will be a `DataFrame` with P-values and other relevant values for each gene.\n",
"\n",
"The most important columns are\n",
"\n",
" - `g` - The name of the gene\n",
" - `pval` - The P-value for spatial differential expression\n",
" - `qval` - Signifance after correcting for multiple testing\n",
" - `l` - A parameter indicating the distance scale a gene changes expression over"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
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" \n",
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" 0\n",
" 1\n",
" 2\n",
" 3\n",
" 4\n",
" \n",
" \n",
" \n",
" \n",
" FSV\n",
" 0.999955\n",
" 2.0597e-09\n",
" 2.0597e-09\n",
" 2.0597e-09\n",
" 2.0597e-09\n",
" \n",
" \n",
" M\n",
" 4\n",
" 4\n",
" 4\n",
" 4\n",
" 4\n",
" \n",
" \n",
" g\n",
" 2410016O06Rik\n",
" Arpp19\n",
" Srsf7\n",
" Wbp7\n",
" Cpsf3l\n",
" \n",
" \n",
" l\n",
" 0.402001\n",
" 0.402001\n",
" 0.402001\n",
" 0.402001\n",
" 0.402001\n",
" \n",
" \n",
" max_delta\n",
" 4.53999e-05\n",
" 4.85165e+08\n",
" 4.85165e+08\n",
" 4.85165e+08\n",
" 4.85165e+08\n",
" \n",
" \n",
" max_ll\n",
" -52.2589\n",
" -107.685\n",
" -114.477\n",
" -112.664\n",
" -49.1672\n",
" \n",
" \n",
" max_mu_hat\n",
" -0.826851\n",
" -2.21845\n",
" -6.67811\n",
" -2.25044\n",
" 0.146089\n",
" \n",
" \n",
" max_s2_t_hat\n",
" 0.666985\n",
" 1.04203e-08\n",
" 9.22126e-08\n",
" 1.07257e-08\n",
" 2.20142e-10\n",
" \n",
" \n",
" model\n",
" SE\n",
" SE\n",
" SE\n",
" SE\n",
" SE\n",
" \n",
" \n",
" n\n",
" 260\n",
" 260\n",
" 260\n",
" 260\n",
" 260\n",
" \n",
" \n",
" s2_FSV\n",
" 1.94342\n",
" 0.253788\n",
" 47.2945\n",
" 0.363388\n",
" 4.48293\n",
" \n",
" \n",
" s2_logdelta\n",
" 6.81931e+08\n",
" 4.3315e+16\n",
" 8.07194e+18\n",
" 6.20209e+16\n",
" 7.65119e+17\n",
" \n",
" \n",
" time\n",
" 0.00134182\n",
" 0.00104499\n",
" 0.000994921\n",
" 0.000999928\n",
" 0.00106692\n",
" \n",
" \n",
" BIC\n",
" 126.761\n",
" 237.613\n",
" 251.196\n",
" 247.571\n",
" 120.577\n",
" \n",
" \n",
" max_ll_null\n",
" -53.706\n",
" -107.686\n",
" -114.478\n",
" -112.665\n",
" -49.1681\n",
" \n",
" \n",
" LLR\n",
" 1.44715\n",
" 0.000964007\n",
" 0.000964011\n",
" 0.000964007\n",
" 0.00096401\n",
" \n",
" \n",
" pval\n",
" 0.228986\n",
" 0.975231\n",
" 0.975231\n",
" 0.975231\n",
" 0.975231\n",
" \n",
" \n",
" qval\n",
" 0.975231\n",
" 0.975231\n",
" 0.975231\n",
" 0.975231\n",
" 0.975231\n",
" \n",
" \n",
"\n",
"
"
],
"text/plain": [
" 0 1 2 3 \\\n",
"FSV 0.999955 2.0597e-09 2.0597e-09 2.0597e-09 \n",
"M 4 4 4 4 \n",
"g 2410016O06Rik Arpp19 Srsf7 Wbp7 \n",
"l 0.402001 0.402001 0.402001 0.402001 \n",
"max_delta 4.53999e-05 4.85165e+08 4.85165e+08 4.85165e+08 \n",
"max_ll -52.2589 -107.685 -114.477 -112.664 \n",
"max_mu_hat -0.826851 -2.21845 -6.67811 -2.25044 \n",
"max_s2_t_hat 0.666985 1.04203e-08 9.22126e-08 1.07257e-08 \n",
"model SE SE SE SE \n",
"n 260 260 260 260 \n",
"s2_FSV 1.94342 0.253788 47.2945 0.363388 \n",
"s2_logdelta 6.81931e+08 4.3315e+16 8.07194e+18 6.20209e+16 \n",
"time 0.00134182 0.00104499 0.000994921 0.000999928 \n",
"BIC 126.761 237.613 251.196 247.571 \n",
"max_ll_null -53.706 -107.686 -114.478 -112.665 \n",
"LLR 1.44715 0.000964007 0.000964011 0.000964007 \n",
"pval 0.228986 0.975231 0.975231 0.975231 \n",
"qval 0.975231 0.975231 0.975231 0.975231 \n",
"\n",
" 4 \n",
"FSV 2.0597e-09 \n",
"M 4 \n",
"g Cpsf3l \n",
"l 0.402001 \n",
"max_delta 4.85165e+08 \n",
"max_ll -49.1672 \n",
"max_mu_hat 0.146089 \n",
"max_s2_t_hat 2.20142e-10 \n",
"model SE \n",
"n 260 \n",
"s2_FSV 4.48293 \n",
"s2_logdelta 7.65119e+17 \n",
"time 0.00106692 \n",
"BIC 120.577 \n",
"max_ll_null -49.1681 \n",
"LLR 0.00096401 \n",
"pval 0.975231 \n",
"qval 0.975231 "
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"results.head().T"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
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"\n",
" \n",
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" \n",
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" \n",
" \n",
" 890\n",
" Kcnh3\n",
" 1.907609\n",
" 0.001512\n",
" \n",
" \n",
" 772\n",
" Pcp4\n",
" 1.135190\n",
" 0.013843\n",
" \n",
" \n",
" 736\n",
" Igfbp2\n",
" 1.135190\n",
" 0.013843\n",
" \n",
" \n",
" 800\n",
" Gng13\n",
" 1.907609\n",
" 0.022632\n",
" \n",
" \n",
" 646\n",
" Naaa\n",
" 0.675535\n",
" 0.051705\n",
" \n",
" \n",
" 749\n",
" Map1b\n",
" 1.135190\n",
" 0.051705\n",
" \n",
" \n",
" 826\n",
" Gng4\n",
" 1.907609\n",
" 0.051705\n",
" \n",
" \n",
" 724\n",
" Fmo1\n",
" 1.135190\n",
" 0.096710\n",
" \n",
" \n",
" 714\n",
" Slc38a3\n",
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"\n",
"
"
],
"text/plain": [
" g l qval\n",
"890 Kcnh3 1.907609 0.001512\n",
"772 Pcp4 1.135190 0.013843\n",
"736 Igfbp2 1.135190 0.013843\n",
"800 Gng13 1.907609 0.022632\n",
"646 Naaa 0.675535 0.051705\n",
"749 Map1b 1.135190 0.051705\n",
"826 Gng4 1.907609 0.051705\n",
"724 Fmo1 1.135190 0.096710\n",
"714 Slc38a3 1.135190 0.096710\n",
"712 Hpcal4 1.135190 0.107360"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"results.sort_values('qval').head(10)[['g', 'l', 'qval']]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We detected a few spatially differentially expressed genes, _Cck_ and _Ptn_ for example.\n",
"\n",
"A simple way to visualize these genes is by plotting the x and y coordinates as above, but letting the color correspond to expression level."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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475jBHNG5I+a25FYKbDG44rARdM5v1dyfbLdQgOsbO31psjNz6WpO+s3DTLr5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dfPOZNfPPMstzy4CuEBCoJKmNBcw5P3b6Trri1U5wsYKZC+4ea1vyN26SR6GnzymWKfq5jgx2uf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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(10, 3)\n",
"for i, g in enumerate(['Kcnh3', 'Pcp4', 'Igfbp2']):\n",
" plt.subplot(1, 3, i + 1)\n",
" plt.scatter(sample_info['x'], sample_info['y'], c=norm_expr[g]);\n",
" plt.title(g)\n",
" plt.axis('equal')\n",
"\n",
" \n",
" plt.colorbar(ticks=[]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For reference, we can compare these to genes which are not spatially DE"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"\n",
"\n",
" \n",
" \n",
" \n",
" g\n",
" l\n",
" qval\n",
" \n",
" \n",
" \n",
" \n",
" 334\n",
" Tmem70\n",
" 0.402001\n",
" 0.975231\n",
" \n",
" \n",
" 335\n",
" Rnf20\n",
" 0.402001\n",
" 0.975231\n",
" \n",
" \n",
" 336\n",
" Zfp85-rs1\n",
" 0.402001\n",
" 0.975231\n",
" \n",
" \n",
" 337\n",
" C1qtnf7\n",
" 0.402001\n",
" 0.975231\n",
" \n",
" \n",
" 338\n",
" Ap4b1\n",
" 0.402001\n",
" 0.975231\n",
" \n",
" \n",
" 339\n",
" Psma4\n",
" 0.402001\n",
" 0.975231\n",
" \n",
" \n",
" 340\n",
" Aldh3b1\n",
" 0.402001\n",
" 0.975231\n",
" \n",
" \n",
" 341\n",
" Hdx\n",
" 0.402001\n",
" 0.975231\n",
" \n",
" \n",
" 328\n",
" Zfp113\n",
" 0.402001\n",
" 0.975231\n",
" \n",
" \n",
" 999\n",
" Preb\n",
" 9.052138\n",
" 0.975231\n",
" \n",
" \n",
"\n",
"
"
],
"text/plain": [
" g l qval\n",
"334 Tmem70 0.402001 0.975231\n",
"335 Rnf20 0.402001 0.975231\n",
"336 Zfp85-rs1 0.402001 0.975231\n",
"337 C1qtnf7 0.402001 0.975231\n",
"338 Ap4b1 0.402001 0.975231\n",
"339 Psma4 0.402001 0.975231\n",
"340 Aldh3b1 0.402001 0.975231\n",
"341 Hdx 0.402001 0.975231\n",
"328 Zfp113 0.402001 0.975231\n",
"999 Preb 9.052138 0.975231"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"results.sort_values('qval').tail(10)[['g', 'l', 'qval']]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
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GpPN/7IrRXPKfczni3EE754arUZ+aEFLKmg8Q4kDga2AG4KaTbwBOxhv6lMAi4IIqlT6U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\nFy8AAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(10, 3)\n",
"for i, g in enumerate(['Myo9b', 'Sc4mol', 'Phf11b']):\n",
" plt.subplot(1, 3, i + 1)\n",
" plt.scatter(sample_info['x'], sample_info['y'], c=norm_expr[g]);\n",
" plt.title(g)\n",
" plt.axis('equal')\n",
"\n",
" \n",
" plt.colorbar(ticks=[]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In regular differential expression analysis, we usually investigate the relation between significance and effect size by so called _volcano plots_. We don't have the concept of fold change in our case, but we can investigate the fraction of variance explained by spatial variation."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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W1x+/f/YeamRkhPHxcWq1GpKo1Wquu+5xTqw9Iq8/fv/snW26vvmiiy4C4IYbbmByctJJ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\nd2OiAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(5, 4)\n",
"plt.yscale('log')\n",
"\n",
"plt.scatter(results['FSV'], results['qval'], c='black')\n",
"\n",
"plt.axhline(0.05, c='black', lw=1, ls='--');\n",
"\n",
"plt.gca().invert_yaxis();\n",
"plt.xlabel('Fraction spatial variance')\n",
"plt.ylabel('Adj. P-value');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Automatic expression histology\n",
"\n",
"To perform automatic expression histology (AEH), the genes should be filtered by SpatialDE significance. For this example, let us use a very weak threshold. But in typical use, filter by `qval < 0.05`"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"sign_results = results.query('qval < 0.5')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"AEH requires two parameters: the number of patterns, and the characteristic lengthscale for histological patterns.\n",
"\n",
"For some guidance in picking the lengthscale `l` we can look at the optimal lengthscale for the signficant genes."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.135190 11\n",
"1.907609 4\n",
"0.675535 4\n",
"3.205604 1\n",
"Name: l, dtype: int64"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sign_results['l'].value_counts()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we see that the lengthscale on average is ~1.5, to use some extra spatial covariance, we put this paramater to `l = 1.8`.\n",
"\n",
"For the number of patterns, we try `C = 3`."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"iter 0, ELBO: -9.48e+08\n",
"iter 1, ELBO: -4.20e+08, delta_ELBO: 5.28e+08\n",
"iter 2, ELBO: -4.20e+08, delta_ELBO: 7.63e+02\n",
"iter 3, ELBO: -4.20e+08, delta_ELBO: 2.07e+02\n",
"iter 4, ELBO: -4.20e+08, delta_ELBO: 8.03e+01\n",
"iter 5, ELBO: -4.20e+08, delta_ELBO: 3.40e+00\n",
"iter 6, ELBO: -4.20e+08, delta_ELBO: 6.62e-02\n",
"iter 7, ELBO: -4.20e+08, delta_ELBO: 2.75e-03\n",
"iter 8, ELBO: -4.20e+08, delta_ELBO: 3.96e-03\n",
"iter 9, ELBO: -4.20e+08, delta_ELBO: 7.49e-05\n",
"Converged on iter 9\n"
]
}
],
"source": [
"histology_results, patterns = SpatialDE.aeh.spatial_patterns(X, resid_expr, sign_results, C=3, l=1.8, verbosity=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"After fitting the AEH model, the function returns two `DataFrame`s, one with pattern membership information for each gene:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
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"source": [
"histology_results.head()"
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},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And one with realizations for the underlying expression for each histological pattern.\n",
"\n",
"We can visualize this underlying expression in the tissue context as we would for any individual gene."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
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WiMj83DazS3Kk0bDN4t/RtqfQmtDsCbQmNJp8dqaJztCRniEX+IpSap6IFAOvi8jTuX2/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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(10, 3)\n",
"for i in range(3):\n",
" plt.subplot(1, 3, i + 1)\n",
" plt.scatter(sample_info['x'], sample_info['y'], c=patterns[i]);\n",
" plt.axis('equal')\n",
" plt.title('Pattern {} - {} genes'.format(i, histology_results.query('pattern == @i').shape[0] ))\n",
" plt.colorbar(ticks=[]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It is usually interesting to see what the coexpressed genes determining a histological pattern are:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Pattern 0\n",
"Naaa, Aebp1, Mfap3l, Fmo1, 2810002D19Rik, Gng13\n",
"\n",
"Pattern 1\n",
"Map2, Arhgef9, AI593442, 6330403K07Rik, Slc38a3, Igfbp2, Nmb, Map1b\n",
"\n",
"Pattern 2\n",
"Hpcal4, Snap25, Pcp4, Gng4, Ppfia2, Kcnh3\n",
"\n"
]
}
],
"source": [
"for i in histology_results.sort_values('pattern').pattern.unique():\n",
" \n",
" print('Pattern {}'.format(i))\n",
" print(', '.join(histology_results.query('pattern == @i').sort_values('membership')['g'].tolist()))\n",
" print()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
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