{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Recover Masked Time Points in Zebrafish Embryogenesis\n", "CellDyc is applied to the axial-mesoderm lineage of zebrafish embryos (See details [here](datasets.rst#celldyc.datasets.core.zebrafish)) using data from 12 time points (3.3–12 hours post-fertilization). We first evaluate CellDyc's performance on the complete dataset containing all 12 time points. Subsequently, we down-sample the dataset to 6 time points for training and apply the trained model back to the full dataset." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Import Packages" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import scanpy as sc\n", "import matplotlib.pyplot as plt\n", "import celldyc as cdc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load the Data\n", "The analysis is based on in-built Zebrafish dataset. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "AnnData object with n_obs × n_vars = 2341 × 23974\n", " obs: 'Stage', 'gt_terminal_states', 'lineages'\n", " uns: 'Stage_colors', 'gt_terminal_states_colors', 'lineages_colors'\n", " obsm: 'X_force_directed'" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "adata = cdc.datasets.zebrafish()\n", "adata" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This dataset contains cells from 12 time points. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(4,5))\n", "sc.pl.embedding(adata, color=\"Stage\", basis=\"force_directed\", ax=ax,title=\"12 time points\",frameon=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preprocess the Data" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "AnnData object with n_obs × n_vars = 2341 × 2000\n", " obs: 'Stage', 'gt_terminal_states', 'lineages'\n", " var: 'n_cells', 'highly_variable', 'means', 'dispersions', 'dispersions_norm'\n", " uns: 'Stage_colors', 'gt_terminal_states_colors', 'lineages_colors', 'log1p', 'hvg', 'pca', 'neighbors'\n", " obsm: 'X_force_directed', 'X_pca'\n", " varm: 'PCs'\n", " obsp: 'distances', 'connectivities'" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "adata = cdc.tl.preprocess(adata)\n", "adata" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We transform descriptive time point strings into numerical format." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "cat_map = {'03.3-HIGH': 03.3,\n", " '03.8-OBLONG': 03.8,\n", " '04.3-DOME': 04.3,\n", " '04.8-30%':04.8,\n", " '05.3-50%':05.3,\n", " '06.0-SHIELD':06.0,\n", " '07.0-60%':07.0,\n", " '08.0-75%':08.0,\n", " '09.0-90%':09.0,\n", " '10.0-BUD':10.0,\n", " '11.0-3-Somite':11.0,\n", " '12.0-6-Somite':12.0}\n", "adata.obs['numerical_time'] = adata.obs['Stage'].map(cat_map).astype('category')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimation of Time Representation and Transcriptomic Velocity with all 12 time points" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first train CellDyc using the `recover_dyc` function. By default, predicted velocities are stored in **adata.layers['velocity']**, and predicted gene-embedded time values are stored in **adata.obs['getime']**." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training with early stop (max_epochs=500, patience=40)\n", "epoch 1:loss=0.837947,trend_loss=0.828511,time_loss=0.094358\n", "epoch 51:loss=0.425178,trend_loss=0.424160,time_loss=0.010178\n", "epoch 101:loss=0.385324,trend_loss=0.384423,time_loss=0.009003\n", "epoch 151:loss=0.377774,trend_loss=0.376906,time_loss=0.008671\n", "epoch 201:loss=0.373027,trend_loss=0.372226,time_loss=0.008010\n", "epoch 251:loss=0.352568,trend_loss=0.351829,time_loss=0.007390\n", "Early stopping at epoch 299\n" ] }, { "data": { "text/plain": [ "AnnData object with n_obs × n_vars = 2341 × 2000\n", " obs: 'Stage', 'gt_terminal_states', 'lineages', 'numerical_time', 'getime'\n", " var: 'n_cells', 'highly_variable', 'means', 'dispersions', 'dispersions_norm', 'getime_weights'\n", " uns: 'Stage_colors', 'gt_terminal_states_colors', 'lineages_colors', 'log1p', 'hvg', 'pca', 'neighbors'\n", " obsm: 'X_force_directed', 'X_pca'\n", " varm: 'PCs'\n", " layers: 'velocity'\n", " obsp: 'distances', 'connectivities'" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cdc.tl.recover_dyc(adata, time_key='numerical_time')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We generated a violin plot of gene-embedded time versus sampling time points, which shows that the learned time respects the actual temporal order." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cdc.pl.getime_violin(adata, 'getime', 'numerical_time',palette='gnuplot2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then project the velocities onto the force-directed embedding." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "9aa6ff7c348748b78260b6388710d181", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/2341 [00:00" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "computing velocity embedding\n", "finished.\n" ] } ], "source": [ "cdc.pl.plot_velocity_projection(adata,basis='force_directed', color='Stage',figsize=(5,5),legend_loc=\"right\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimation of Time Representation and Transcriptomic Velocity with 6 time points" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "adata_ = cdc.datasets.zebrafish()\n", "adata_.obs['numerical_time'] = adata_.obs['Stage'].map(cat_map).astype('category')\n", "sc.pp.filter_genes(adata_, min_cells=10)\n", "sc.pp.normalize_total(adata_, target_sum=1e4)\n", "sc.pp.log1p(adata_)\n", "sc.pp.highly_variable_genes(adata_, n_top_genes=2000)\n", "adata_ = adata_[:, adata_.var.highly_variable].copy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We select subsets at six time points." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "keep = ['03.3-HIGH','04.3-DOME','05.3-50%','07.0-60%','09.0-90%','11.0-3-Somite']\n", "adata_subset = adata_[adata_.obs['Stage'].isin(keep)].copy()\n", "fig, axes = plt.subplots(1, 2, figsize=(9,4))\n", "sc.pl.embedding(\n", " adata, \n", " basis='force_directed', \n", " color='Stage', \n", " ax=axes[0], \n", " title=f'Original (n={adata.n_obs})',\n", " show=False,frameon=False\n", ")\n", "sc.pl.embedding(\n", " adata_subset, \n", " basis='force_directed', \n", " color='Stage', \n", " ax=axes[1], \n", " title=f'Downsampled Data (n={adata_subset.n_obs})',\n", " show=False,frameon=False\n", ")\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "sc.tl.pca(adata_subset, svd_solver='arpack')\n", "sc.pp.neighbors(adata_subset, n_neighbors=30, n_pcs=30)\n", "\n", "sc.tl.pca(adata_, svd_solver='arpack')\n", "sc.pp.neighbors(adata_, n_neighbors=30, n_pcs=30)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then train CellDyc on the downsampled **adata_sub** and save the trained model to **save_path**." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training with early stop (max_epochs=500, patience=40)\n", "epoch 1:loss=0.876759,trend_loss=0.862731,time_loss=0.140287\n", "epoch 51:loss=0.313247,trend_loss=0.312212,time_loss=0.010346\n", "epoch 101:loss=0.270490,trend_loss=0.269659,time_loss=0.008309\n", "epoch 151:loss=0.259464,trend_loss=0.258694,time_loss=0.007700\n", "epoch 201:loss=0.244994,trend_loss=0.244285,time_loss=0.007091\n", "epoch 251:loss=0.245265,trend_loss=0.244603,time_loss=0.006618\n", "Early stopping at epoch 256\n" ] }, { "data": { "text/plain": [ "AnnData object with n_obs × n_vars = 1527 × 2000\n", " obs: 'Stage', 'gt_terminal_states', 'lineages', 'numerical_time', 'getime'\n", " var: 'n_cells', 'highly_variable', 'means', 'dispersions', 'dispersions_norm', 'getime_weights'\n", " uns: 'Stage_colors', 'gt_terminal_states_colors', 'lineages_colors', 'log1p', 'hvg', 'pca', 'neighbors'\n", " obsm: 'X_force_directed', 'X_pca'\n", " varm: 'PCs'\n", " layers: 'velocity'\n", " obsp: 'distances', 'connectivities'" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cdc.tl.recover_dyc(adata_subset,time_key=\"numerical_time\", save_path='zebrafish.pt')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we apply this saved model to the full 12 time points dataset." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "AnnData object with n_obs × n_vars = 2341 × 2000\n", " obs: 'Stage', 'gt_terminal_states', 'lineages', 'numerical_time', 'getime'\n", " var: 'n_cells', 'highly_variable', 'means', 'dispersions', 'dispersions_norm', 'getime_weights'\n", " uns: 'Stage_colors', 'gt_terminal_states_colors', 'lineages_colors', 'log1p', 'hvg', 'pca', 'neighbors'\n", " obsm: 'X_force_directed', 'X_pca'\n", " varm: 'PCs'\n", " layers: 'velocity'\n", " obsp: 'distances', 'connectivities'" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cdc.tl.recover_dyc(adata_, time_key='numerical_time', model_path='zebrafish.pt')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we generate a violin plot of gene-embedded time versus sampling time points, showing that the model—trained on only 6 time points—learns a time representation that respects the actual temporal order across all 12 time points." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cdc.pl.getime_violin(adata_, 'getime', 'numerical_time',palette='gnuplot2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we project the velocities onto the force-directed embedding." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "30387d6622d94ca0b62356e01b958d25", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/2341 [00:00" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "computing velocity embedding\n", "finished.\n" ] } ], "source": [ "cdc.pl.plot_velocity_projection(adata_,basis='force_directed', color='Stage', legend_loc='right',figsize=(5,5))" ] } ], "metadata": { "kernelspec": { "display_name": "celldyc_test5", "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": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 4 }