{ "cells": [ { "cell_type": "markdown", "id": "c058fde9-71a8-4da1-9a04-b2ad8d1cefd1", "metadata": {}, "source": [ "# Run PhyloVelo in C.elegans data" ] }, { "cell_type": "markdown", "id": "8aee2650-c7fa-49ca-b6d5-14954d3b4748", "metadata": {}, "source": [ "We next sought to benchmark PhyloVelo by applying to the phylogeny-resolved scRNA-seq data of C. elegans. The embryonic lineage tree of C. elegans is entirely known. Moreover, time-course single-cell RNA-seq data from C. elegans embryos has been mapped to its invariant lineage tree. We focused on the AB lineage which had the densest cell annotations from generation 5 (32-cell stage) to 12 (threefold stage of development), with mostly ectoderm and accounting for ~70% of the terminal cells in the embryo.\n", "\n", "Data are available from Packer _et al_. at the Gene Expression Omnibus (GEO) under accession number GSE126954. Since multiple synchronous C. elegans embryos were pooled for the scRNA-seq experiment, many nodes on the embryonic lineage tree have been sampled multiple times. Only one cell was thus randomly chosen to represent the corresponding node, while these non-repetitive cells from one lineage tree constitute a “pseudo-embryo”. We focused on the AB lineage (the largest lineage amongst the first five founder cells contributing over 70% somatic tissues of C. elegans) and filtered out the genes with total count < 10 (remaining 6533 genes and 298 cells in a single psedo-emberyo). For the dimensionality reduction embedding of the scRNA-seq data, we used the UMAP embedding coordinates from original study13, which is available from https://github.com/qinzhu/Celegans_code/blob/master/globalumap2d_Qin.rds." ] }, { "cell_type": "code", "execution_count": 9, "id": "e748260d-8815-4e7a-98c6-5fb03954343e", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import phylovelo as pv\n", "import numpy as np\n", "from scipy.stats import spearmanr\n", "from mpl_toolkits.axes_grid1.inset_locator import inset_axes" ] }, { "cell_type": "markdown", "id": "970c048a-a48c-4548-8c26-254acb4b6d5d", "metadata": {}, "source": [ "## import data" ] }, { "cell_type": "code", "execution_count": 1, "id": "ab8bdc9d-72e4-4912-ac83-1933fecf4c9e", "metadata": {}, "outputs": [], "source": [ "import pyreadr\n", "globalumap = pyreadr.read_r('./datasets/Celegans/globalumap2d_Qin.rds')\n", "globalumap = globalumap[None]" ] }, { "cell_type": "code", "execution_count": 15, "id": "1aed03fd-3bc4-49e2-ac90-f855ed6bdf05", "metadata": {}, "outputs": [], "source": [ "cell_annotation = pd.read_csv('./datasets/Celegans/GSE126954_cell_annotation.csv', index_col=0)\n", "count = pd.read_csv('./datasets/Celegans/pseudoembryo0_count.csv', index_col=0)\n", "sample = count.index" ] }, { "cell_type": "markdown", "id": "7b111e25-c439-43ff-bf09-4d88b3ca361f", "metadata": {}, "source": [ "## Read data using scData and filter" ] }, { "cell_type": "code", "execution_count": 16, "id": "c424089d-f613-4a81-9335-56d1e927c3cc", "metadata": {}, "outputs": [], "source": [ "sd = pv.scData(count=count, Xdr=globalumap.loc[sample], cell_generation=cell_annotation.loc[sample].lineage.apply(lambda x: len(x.split('/')[0])).to_numpy().flatten())\n", "sd.drop_duplicate_genes(target='count')\n", "sd.normalize_filter(is_normalize=False, is_log=False, min_count=10, target_sum=None)" ] }, { "cell_type": "markdown", "id": "97583c11-d633-443a-9aff-d945dd8db9d3", "metadata": {}, "source": [ "## Inference and project velocity into embedding" ] }, { "cell_type": "code", "execution_count": 17, "id": "9463ac36-0075-406f-b29e-3d1313ec98aa", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d8dc9f2628384b6fb4a74bf3941b7c03", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(FloatProgress(value=0.0, max=6547.0), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/home/wangkun/miniconda3/lib/python3.9/site-packages/phylovelo/inference.py:29: RuntimeWarning: divide by zero encountered in log\n", " pmf0 = -n_zeros * np.log((1 - psi) + psi * (n / (n + mu)) ** n)\n", "/home/wangkun/miniconda3/lib/python3.9/site-packages/phylovelo/inference.py:29: RuntimeWarning: invalid value encountered in multiply\n", " pmf0 = -n_zeros * np.log((1 - psi) + psi * (n / (n + mu)) ** n)\n", "/home/wangkun/miniconda3/lib/python3.9/site-packages/phylovelo/inference.py:29: RuntimeWarning: invalid value encountered in double_scalars\n", " pmf0 = -n_zeros * np.log((1 - psi) + psi * (n / (n + mu)) ** n)\n", "/home/wangkun/miniconda3/lib/python3.9/site-packages/phylovelo/inference.py:333: RuntimeWarning: invalid value encountered in log\n", " y = np.log(y + 1)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e1280b574c6c4e0f86a0d193381e5353", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(FloatProgress(value=0.0, max=300.0), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "pv.velocity_inference(sd, sd.cell_generation, cutoff=0.95, target='count')\n", "pv.velocity_embedding(sd, target='count', n_neigh=15)" ] }, { "cell_type": "code", "execution_count": 18, "id": "9ab172b1-71fb-42f3-ab57-f0371b62d03c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.3, 1.65)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "scatter = ax.scatter(sd.Xdr.iloc[:, 0], sd.Xdr.iloc[:, 1], c=sd.cell_generation, s=100)\n", "ax = pv.velocity_plot(sd.Xdr.to_numpy(), sd.velocity_embeded, ax, 'stream',streamdensity=1.2, grid_density=25, radius=0.12, lw_coef=10000)\n", "ax.figure.set_size_inches(8,8)\n", "ax.set_xlabel('UMAP 1', fontsize=15)\n", "ax.set_ylabel('UMAP 2', fontsize=15)\n", "cbaxes = inset_axes(ax, width=\"3%\", height=\"30%\", loc='lower right') \n", "plt.colorbar(scatter, cax=cbaxes, orientation='vertical')\n", "ax.spines['right'].set_visible(False)\n", "ax.spines['top'].set_visible(False)\n", "ax.set_ylim([0.3, 1.65])" ] }, { "cell_type": "markdown", "id": "63119b2f-df78-4e8a-a504-07da8be98c11", "metadata": {}, "source": [ "## Inference PhyloVelo pseudotime" ] }, { "cell_type": "code", "execution_count": 19, "id": "9ada3317-ad0b-4080-a87f-d9e8befb2976", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "5321baad92bb4fd3a35fe5e2e262cf6c", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(FloatProgress(value=0.0, max=299.0), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "sd = pv.calc_phylo_pseudotime(sd, n_neighbors=280)" ] }, { "cell_type": "code", "execution_count": 20, "id": "97885d7a-b9e2-4791-9ba2-de30a709dda5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.figure.set_size_inches(8,8)\n", "scatter = ax.scatter(sd.Xdr.iloc[:,0], sd.Xdr.iloc[:,1], s=100, c=sd.phylo_pseudotime,cmap='plasma')\n", "ax.set_xlabel('UMAP 1', fontsize=15)\n", "ax.set_ylabel('UMAP 2', fontsize=15)\n", "ax.spines['right'].set_visible(False)\n", "ax.spines['top'].set_visible(False)\n", "cbaxes = inset_axes(ax, width=\"3%\", height=\"30%\", loc='lower right') \n", "plt.colorbar(scatter, cax=cbaxes, orientation='vertical')" ] }, { "cell_type": "code", "execution_count": 26, "id": "1c9d49cb-79be-48a0-86d0-3603b71e94aa", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = cell_annotation.loc[sample]['embryo.time'].to_numpy()\n", "y = sd.phylo_pseudotime\n", "\n", "a, b = np.polyfit(x, y, deg=1)\n", "y_est = a * np.linspace(50,650,60) + b\n", "\n", "fig, ax = plt.subplots(figsize=(7, 6))\n", "ax.scatter(x, y, alpha=0.4, s=70)\n", "ax.plot(np.linspace(50,650,60), y_est, '-', c='k')\n", "ax.set_xlabel('Embryo time', fontsize=17)\n", "ax.set_ylabel('PhyloVelo pseudotime', fontsize=17)\n", "# ax.text(50, 0.9, 'spearmanr={:.2g}\\np_val={:.2g}'.format(*spearmanr(x, y)), fontsize=15)\n", "rho, pval = spearmanr(x, y)\n", "ax.text(50, 0.98, r\"Spearman's $\\rho$={:.2g}\".format(rho), fontsize=15)\n", "ax.text(50, 0.91, r'$p={}\\times 10^{}$'.format(*r'{:.2g}'.format(pval).split('e')).replace('^', '^{').replace('$', '}$')[1:], fontsize=15)\n", "ax.spines['right'].set_visible(False)\n", "ax.spines['top'].set_visible(False)" ] }, { "cell_type": "code", "execution_count": null, "id": "dd72b072-fe03-4d5f-bc88-3b72a3cd65a0", "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": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 5 }