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"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Applying CellPhenoX to Ulcerative Colitis Fibroblasts (single-cell transcriptomics)\n",
"## Goal: Identify subtle, fibroblast-specific phenotypic changes associated with differing levels of inflammation\n",
"This tutorial explores the utility of CellPhenoX within a specific cell type. Using the single-cell transcriptomics data from [Smillie et al.](https://doi.org/10.1016/j.cell.2019.06.029), we (a) create the latent dimensions for the neighborhood abundance matrix (NAM), (b) train a random forest model to predict inflamed vs. non-inflamed status, and (c) visualize the resulting CellPhenoX Interpretable Score."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Importing Dependencies"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/zhanglab/Documents/Python Projects/pyCellPhenoX/pycpx/lib/python3.12/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
" from .autonotebook import tqdm as notebook_tqdm\n"
]
}
],
"source": [
"import pyCellPhenoX\n",
"\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 1: Import data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The expression file is expected to be a cells by gene matrix, and the meta file is expected to be a cells by meta data features matrix. "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# paths to expression data and meta data files\n",
"expression_file = \"/example_UC_data/fibroblast_exp.csv\"\n",
"meta_file = \"/example_UC_data/fibroblast_met.csv\"\n",
"output_path = \"/output/\"\n",
"# read in data\n",
"expression_mat = pd.read_csv(expression_file, index_col=0)\n",
"meta = pd.read_csv(meta_file, index_col=0)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
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" cell.1 sample disease cell_type \\\n",
"cell \n",
"N7.LPA.ATGTTCACATCGAC N7.LPA.ATGTTCACATCGAC N7 Non-inflamed LP \n",
"N7.LPA.CATTAGCTGAGACG N7.LPA.CATTAGCTGAGACG N7 Non-inflamed LP \n",
"N7.LPA.AAGGCTTGTGTAGC N7.LPA.AAGGCTTGTGTAGC N7 Non-inflamed LP \n",
"N7.LPA.TATCAAGATGTGAC N7.LPA.TATCAAGATGTGAC N7 Non-inflamed LP \n",
"N7.LPA.GAGTGGGAATGTGC N7.LPA.GAGTGGGAATGTGC N7 Non-inflamed LP \n",
"\n",
" cluster nGene nUMI percent_mito \\\n",
"cell \n",
"N7.LPA.ATGTTCACATCGAC WNT2B+ Fos-lo 1 969.0 2357.0 0.031409 \n",
"N7.LPA.CATTAGCTGAGACG WNT2B+ Fos-hi 681.0 1569.0 0.044614 \n",
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"N7.LPA.TATCAAGATGTGAC WNT2B+ Fos-hi 841.0 2115.0 0.021749 \n",
"N7.LPA.GAGTGGGAATGTGC WNT2B+ Fos-lo 1 923.0 2194.0 0.019599 \n",
"\n",
" fibroblast_clusters \n",
"cell \n",
"N7.LPA.ATGTTCACATCGAC WNT2B \n",
"N7.LPA.CATTAGCTGAGACG WNT2B \n",
"N7.LPA.AAGGCTTGTGTAGC WNT2B \n",
"N7.LPA.TATCAAGATGTGAC WNT2B \n",
"N7.LPA.GAGTGGGAATGTGC WNT2B "
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"meta.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 2: Preprocess data - generate latent dimensions and configure input for CellPhenoX (include covariates and identify target column)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, we generate the NAM to summarize the cell co-abundance. CellPhenoX offers a wrapper around the Python [CNA](https://github.com/immunogenomics/cna) package functions to accomplish this, `neighborhoodAbundanceMatrix`. \n",
"\n",
"Parameters:\n",
"- `expression_mat` - the single-cell omics feature matrix (with cells as rows and features as columns)\n",
"- `meta` - corresponding meta data where columns are categories\n",
"- `sampleid` - the name of the column in meta that has the individual/subject identification"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"nam = neighborhoodAbundanceMatrix(expression_mat=expression_mat, meta_data=meta, sampleid=\"sampleid\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"CellPhenoX has two functions that will decompose the NAM, `nonnegativeMatrixFactorization` and `principalComponentAnalysis`.\n",
"\n",
"_Note_: if using a different dimensionality reduction technique, ensure that the format of the latent embeddings are in the following format for the preprocessing step (cells as rows, latent embeddings as columns)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`nonnegativeMatrixFactorization` uses NMF to generate the ranks from the NAM. \n",
"\n",
"Parameters:\n",
"- `numberOfComponents` - the number of ranks (latent embeddings) to learn. Default = -1; if the number of components is not specified, then we select the number of components by performing NMF on a range of k values and selecting the one with the highest silhouette score.\n",
" - `min_k` - minimum for the range\n",
" - `max_k` - maximum for the range"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/zhanglab_mac2/Library/CloudStorage/OneDrive-TheUniversityofColoradoDenver/Zhang_Lab/Research/shap/.conda/lib/python3.11/site-packages/sklearn/decomposition/_nmf.py:1710: ConvergenceWarning: Maximum number of iterations 200 reached. Increase it to improve convergence.\n"
]
}
],
"source": [
"# get the latent dimensions using NMF\n",
"latent_features = nonnegativeMatrixFactorization(nam, numberOfComponents=4, min_k=3, max_k=5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Alternatively, we can perform PCA with `principalComponentAnalysis` and use the principal components as the latent embeddings.\n",
"\n",
"Paramters:\n",
"- `var` - the desired proportion of variance explained. This will be used to select the number of principle components."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"proportion_var_explained = 0.9\n",
"latent_features = principalComponentAnalysis(nam, var=proportion_var_explained)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have the latent dimensions, we can make final preparations to run CellPhenoX. The `preprocessing` function will add desired covariates to the model predictor dataframe, `X`, label encode any non-numerical columns to be used in the classification model, and optionally perform subsampling. \n",
"\n",
"Parameters:\n",
"- `sub_samp` - boolean flag, do you want to subsample your data\n",
"- `subset_percentage` - if `sub_samp` is True, specify the desired proportion of the dataset\n",
"- `bal_col` - name of columns to use to balance the subsampling\n",
"- `target` - name of the column in the meta data for the target/outcome variable for the classification model\n",
"- `covariates` - list of column names for covariates that you want to include as features in the classification model "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
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],
"source": [
"# then, set up the input data for CellPhenoX\n",
"X,y = preprocessing(latent_features, meta, sub_samp=False, bal_col=[\"subject_id\", \"cell_type\", \"disease\"], subset_percentage=0.25 , target=\"disease\", covariates=[], interaction_covs=[])\n",
"X.head()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(3698, 4)\n",
"(3698,)\n"
]
}
],
"source": [
"print(X.shape)\n",
"print(y.shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 3: Run CellPhenoX - train the classification model and calculate the CellPhenoX Interpretable Score"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We start by instantiating the CellPhenoX object with `CellPhenoX`, specifying the following attributes:\n",
"- `outer_num_splits` - the number of cross validation folds.\n",
"- `inner_num_splits` - the number of cross validation folds for the hyperparameter grid search.\n",
"- `CV_repeats` - the number of cross validation repeats to perform. This ensures that the SHAP values calculated are robust to the randomization of the folds; the final SHAP values for each cell for each feature will be the average across CV repeats.\n",
"\n",
"*other CellPhenoX object attributes*\n",
"\n",
"The function for running this step is `model_training_shap_val`. You can pass the path to a specific output path for the produced plots."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"entering CV loop\n",
"\n",
"------------ CV Repeat number: 1\n",
"\n",
"------ Fold Number: 1\n",
"--- Accuracy: 0.7023519870235199\n",
"1\n",
"--- Validation Accuracy: 0.8275862068965517 - Validation AUROC: 0.8185670261941448 - Val AUPRC: 0.9549581934555448\n",
"\n",
"------ Fold Number: 2\n",
"--- Accuracy: 0.7055961070559611\n",
"2\n",
"--- Validation Accuracy: 0.9006085192697769 - Validation AUROC: 0.892869371682931 - Val AUPRC: 0.9770399352399095\n",
"\n",
"------ Fold Number: 3\n",
"--- Accuracy: 0.6801948051948052\n",
"3\n",
"--- Validation Accuracy: 0.8765182186234818 - Validation AUROC: 0.8679925048973682 - Val AUPRC: 0.9707836787744281\n",
"Average AUROC: 0.8598096342581479 | Average AUPRC: 0.9675939358232942\n",
"best model precision-recall score = 0.9770\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/zhanglab_mac2/Library/CloudStorage/OneDrive-TheUniversityofColoradoDenver/Zhang_Lab/Research/shap/.conda/lib/python3.11/site-packages/shap/plots/_beeswarm.py:699: UserWarning: No data for colormapping provided via 'c'. Parameters 'vmin', 'vmax' will be ignored\n"
]
},
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# create CellPhenoX object \n",
"cellpx_obj = CellPhenoX(X, y, CV_repeats=1, outer_num_splits=3, inner_num_splits=2)\n",
"# and then train the classification model\n",
"cellpx_obj.model_training_shap_val(outpath = output_path)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `.shap_df` attribute will hold the SHAP values for the individual features in the model (these columns will have the names of the features and \"_shap\"). The `interpretable_score` column holds the CellPhenoX Interpretable Score."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
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" \n",
"
\n",
"
\n",
"
0_shap
\n",
"
1_shap
\n",
"
2_shap
\n",
"
3_shap
\n",
"
interpretable_score
\n",
"
\n",
"
\n",
"
cell
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
\n",
" \n",
" \n",
"
\n",
"
N7.LPA.ATGTTCACATCGAC
\n",
"
0.019978
\n",
"
-0.007582
\n",
"
0.129763
\n",
"
0.017164
\n",
"
0.159322
\n",
"
\n",
"
\n",
"
N7.LPA.CATTAGCTGAGACG
\n",
"
0.018379
\n",
"
0.019989
\n",
"
0.234010
\n",
"
0.130304
\n",
"
0.402682
\n",
"
\n",
"
\n",
"
N7.LPA.AAGGCTTGTGTAGC
\n",
"
0.052278
\n",
"
0.037604
\n",
"
0.184861
\n",
"
-0.004939
\n",
"
0.269803
\n",
"
\n",
"
\n",
"
N7.LPA.TATCAAGATGTGAC
\n",
"
0.013674
\n",
"
0.056203
\n",
"
0.068779
\n",
"
-0.102463
\n",
"
0.036193
\n",
"
\n",
"
\n",
"
N7.LPA.GAGTGGGAATGTGC
\n",
"
-0.017015
\n",
"
0.016166
\n",
"
-0.011645
\n",
"
-0.110724
\n",
"
-0.123219
\n",
"
\n",
"
\n",
"
...
\n",
"
...
\n",
"
...
\n",
"
...
\n",
"
...
\n",
"
...
\n",
"
\n",
"
\n",
"
N110.LPB.CCAGCGATCCTCCTAG
\n",
"
-0.025661
\n",
"
-0.084043
\n",
"
-0.027967
\n",
"
0.075934
\n",
"
-0.061737
\n",
"
\n",
"
\n",
"
N110.LPB.CGAATGTAGACTAGGC
\n",
"
0.047468
\n",
"
0.004443
\n",
"
0.219336
\n",
"
-0.048841
\n",
"
0.222407
\n",
"
\n",
"
\n",
"
N110.LPB.TCAACGACAATCCAAC
\n",
"
0.076038
\n",
"
0.083048
\n",
"
0.001184
\n",
"
0.036729
\n",
"
0.196999
\n",
"
\n",
"
\n",
"
N110.LPB.CTGATAGAGCATGGCA
\n",
"
-0.014526
\n",
"
0.030951
\n",
"
-0.008796
\n",
"
0.198806
\n",
"
0.206434
\n",
"
\n",
"
\n",
"
N110.LPB.CTTCTCTCATCGGTTA
\n",
"
0.012489
\n",
"
0.024917
\n",
"
0.012230
\n",
"
0.262411
\n",
"
0.312047
\n",
"
\n",
" \n",
"
\n",
"
3698 rows × 5 columns
\n",
"
"
],
"text/plain": [
" 0_shap 1_shap 2_shap 3_shap \\\n",
"cell \n",
"N7.LPA.ATGTTCACATCGAC 0.019978 -0.007582 0.129763 0.017164 \n",
"N7.LPA.CATTAGCTGAGACG 0.018379 0.019989 0.234010 0.130304 \n",
"N7.LPA.AAGGCTTGTGTAGC 0.052278 0.037604 0.184861 -0.004939 \n",
"N7.LPA.TATCAAGATGTGAC 0.013674 0.056203 0.068779 -0.102463 \n",
"N7.LPA.GAGTGGGAATGTGC -0.017015 0.016166 -0.011645 -0.110724 \n",
"... ... ... ... ... \n",
"N110.LPB.CCAGCGATCCTCCTAG -0.025661 -0.084043 -0.027967 0.075934 \n",
"N110.LPB.CGAATGTAGACTAGGC 0.047468 0.004443 0.219336 -0.048841 \n",
"N110.LPB.TCAACGACAATCCAAC 0.076038 0.083048 0.001184 0.036729 \n",
"N110.LPB.CTGATAGAGCATGGCA -0.014526 0.030951 -0.008796 0.198806 \n",
"N110.LPB.CTTCTCTCATCGGTTA 0.012489 0.024917 0.012230 0.262411 \n",
"\n",
" interpretable_score \n",
"cell \n",
"N7.LPA.ATGTTCACATCGAC 0.159322 \n",
"N7.LPA.CATTAGCTGAGACG 0.402682 \n",
"N7.LPA.AAGGCTTGTGTAGC 0.269803 \n",
"N7.LPA.TATCAAGATGTGAC 0.036193 \n",
"N7.LPA.GAGTGGGAATGTGC -0.123219 \n",
"... ... \n",
"N110.LPB.CCAGCGATCCTCCTAG -0.061737 \n",
"N110.LPB.CGAATGTAGACTAGGC 0.222407 \n",
"N110.LPB.TCAACGACAATCCAAC 0.196999 \n",
"N110.LPB.CTGATAGAGCATGGCA 0.206434 \n",
"N110.LPB.CTTCTCTCATCGGTTA 0.312047 \n",
"\n",
"[3698 rows x 5 columns]"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cellpx_obj.shap_df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 4: Visualization - generate manuscript plots"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"SHAP Summary plot\n",
"\n",
"(inlcude option to keep the covariates in the plot)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Boxplots with CellPhenoX Interpretable Score on the y-axis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"CellPhenoX Interpretable Score on the UMAP & Celltype labeled UMAP"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We include the code for correlating the Interpretable Score with the gene expression in (this notebook). In general, the steps are as follows...."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"fitting model\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/zhanglab_mac2/Library/CloudStorage/OneDrive-TheUniversityofColoradoDenver/Zhang_Lab/Research/shap/.conda/lib/python3.11/site-packages/statsmodels/regression/linear_model.py:1794: RuntimeWarning: divide by zero encountered in divide\n",
"/Users/zhanglab_mac2/Library/CloudStorage/OneDrive-TheUniversityofColoradoDenver/Zhang_Lab/Research/shap/.conda/lib/python3.11/site-packages/statsmodels/regression/linear_model.py:1794: RuntimeWarning: invalid value encountered in scalar multiply\n",
"/Users/zhanglab_mac2/Library/CloudStorage/OneDrive-TheUniversityofColoradoDenver/Zhang_Lab/Research/shap/.conda/lib/python3.11/site-packages/statsmodels/regression/linear_model.py:1716: RuntimeWarning: divide by zero encountered in scalar divide\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"results sorted by p vlaue: \n",
" Beta P_Value Adjusted_P_Value gene\n",
"const 0.007220 NaN NaN const\n",
"ADAMDEC1 0.009512 NaN NaN ADAMDEC1\n",
"ACTA2 -0.004977 NaN NaN ACTA2\n",
"TAGLN 0.002539 NaN NaN TAGLN\n",
"CCL11 -0.005101 NaN NaN CCL11\n",
"Significant Markers\n",
"Empty DataFrame\n",
"Columns: [Beta, P_Value, Adjusted_P_Value, gene]\n",
"Index: []\n"
]
}
],
"source": [
"marker_discovery(cellpx_obj.shap_df, expression_mat)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "cellphenox_env",
"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": "3.12.0"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}