{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# notebook 1 - introduction and data processing\n",
"This notebook will introduce you to single cell RNA-seq analysis using scanpy. It will walk you through the main steps of an analysis pipeline, taking time to look at the important characteristics of the dataset a long the way. It goes through the individual steps in a more detailed manner than the standard analysis pipeline to teach the core concepts that need to be watched out for when performing single cell analysis."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"scanpy==1.4.5.1 anndata==0.7.1 umap==0.3.10 numpy==1.16.2 scipy==1.4.1 pandas==0.24.1 scikit-learn==0.22.1 statsmodels==0.11.1 python-igraph==0.7.1 louvain==0.6.1\n"
]
}
],
"source": [
"#import necessary python packages\n",
"import scanpy.api as sc #software suite of tools for single-cell analysis in python\n",
"import besca as bc #internal BEDA package for single cell analysis\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import pandas as pd\n",
"import numpy as np\n",
"import scipy\n",
"\n",
"sc.logging.print_versions() #output an overview of the software versions that are loaded"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import HTML\n",
"task = \"\"\n",
"HTML(task)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tag = \"\"\n",
"HTML(tag)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"FAIR = \"\"\n",
"HTML(FAIR)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dataset"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The example dataset we will be analyzing today consists of PBMCs taken from 3 healthy donors. The reads have already been demultiplexed to generate a set of FASTQs per donor (cellranger mkfastq function) and count matrices generated (cellranger count function). Afterwards the count matrices from each donor have been merged together into one count matrix and a correct sample annotation generated."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"scrolled": false
},
"outputs": [],
"source": [
"#import example dataset\n",
"#filepath = '/path/to/dataset/raw'\n",
"#adata = bc.Import.read_mtx(filepath=filepath, species='human')\n",
"# OR\n",
"#adata = sc.read(filepath)\n",
"# OR\n",
"adata = bc.datasets.pbmc_storage_raw()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"AnnData object with n_obs × n_vars = 13066 × 19883 \n",
" obs: 'CELL', 'CONDITION', 'experiment', 'sample_type', 'storage_condition', 'donor', 'batch'\n",
" var: 'ENSEMBL', 'SYMBOL'"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"adata"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"**Note**\n",
" \n",
"This dataset contains **15560 cells** (n_obs) and **19883 genes** (n_vars) whose labels are stored in adata.obs_names and adata.var_names respectively. In addition the dataset has been annotated which is stored in adata.obs. In this case each cell has been given the following attributes: CONDITION, experiment, sample_type, storage_condition, Donor, and Batch\n",
"\n",
"
\n",
"\n",
"**Note**\n",
" \n",
"Since each cell has its own row in adata.obs, we can determing the number of cells that have this specific attribute in the dataset by counting the occurance of each label.\n",
"\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"PBMC_healthy 13066\n",
"Name: CONDITION, dtype: int64"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#determine how many CONDITIONS are depicted in the dataset\n",
"adata.obs.CONDITION.value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"fresh 5111\n",
"24h_RT 5062\n",
"frozen 2893\n",
"Name: storage_condition, dtype: int64"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#determine how many storage conditions were used in the experiment and how many cells belong to each condition\n",
"adata.obs.storage_condition.value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" donor\n",
"Donor_3A 4652\n",
"Donor_1 4562\n",
"Donor_2 3852\n"
]
},
{
"data": {
"text/plain": [
"Text(0, 0.5, 'number of cells')"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#how many cells came from each donor in the experiment\n",
"data_before_filtering = adata.obs.donor.value_counts().to_frame()\n",
"print(data_before_filtering)\n",
"\n",
"plt.bar(x=data_before_filtering.index.tolist(), height = data_before_filtering.donor.tolist())\n",
"plt.title('distribution of cells between donors')\n",
"plt.ylabel('number of cells')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"**Note**\n",
" \n",
"Its important to check how many cells you get from each Condition/Donor because this is not necessarily always equal as can be seen in our example dataset.\n",
"\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Important quantitative traits of the dataset\n",
"\n",
"First we can take a look at the relationship between total UMI counts associated with a gene and the detection probability in a cell. To do this we will plot the percentage of cells that express a gene (i.e. the cell has at least 1 UMI count for that gene) against the total number of UMI counts that we observe for a gene which we plot on the x-axis."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
\n",
"\n",
"**Note**\n",
" \n",
"As the number of transcripts belonging to a gene increases we can see that most of the cells start expresisng this gene. Which genes these are we will look at in more detail later. Also, the number of genes that are abundantly expressed in most cells is low in comparision to those genes that are only expressed in a small subset of cells.\n",
"\n",
"
\n",
"\n",
"**Note**\n",
" \n",
"**Library size** refers to the number of unique transcript molecules that are detected in a cell (i.e. the sum of all UMI counts). It is an important value for characterizing the sequencing depth of an experiment.\n",
"\n",
"Librarysize is closely related to two other indices: the **number of detected genes (NODG)** and the number of **dropouts**(undetected genes). Characteristic for single-cell data is the high frequency of dropouts.\n",
"\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### sparseness of data\n",
"\n",
"Most of the entries in the UMI count matrix consist of 0's!"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Only 4.263% of all matrix entries are non-zero values!\n"
]
},
{
"data": {
"text/plain": [
"matrix([[0., 0., 0., 0.],\n",
" [0., 0., 0., 0.],\n",
" [0., 0., 0., 0.],\n",
" [0., 0., 0., 0.],\n",
" [0., 0., 0., 0.],\n",
" [0., 0., 1., 0.],\n",
" [0., 0., 0., 0.],\n",
" [0., 0., 0., 0.],\n",
" [0., 0., 1., 0.],\n",
" [0., 0., 1., 0.]], dtype=float32)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"count_non_zero = np.count_nonzero(adata.X.todense())\n",
"count_all_values = adata.X.todense().size\n",
"print('Only', str(round(count_non_zero / count_all_values * 100, 3 ))+ '% of all matrix entries are non-zero values!')\n",
"adata.X.todense()[0:10, 0:4]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Filtering (Quality Control)\n",
"\n",
"During the quality control we wish to perform a cleanup of the dataset in two dimensions: first to **remove all low quality cells** that might otherwise distort our analysis and second to **remove uninformative genes** (i.e. genes that are not expressed). In general, the quality control is performed in a conservative manner to remove clear outlier cells and not expressed genes but trying to keep as much information as possible. \n",
"\n",
"There are a number of criteria that can indicate a damaged cell: \n",
"1. a low overall gene/RNA content\n",
"2. a high fraction of mitochondrial genes\n",
"\n",
"In addition we also want to **remove any potential cell doublets**. In general cell doublet identification in scRNAseq data is extremely difficult, which is why we follow a conservative approach of removing any cells with an extremely high read count since this might indicate the presence of two cells in a droplet. \n",
"\n",
"The preliminary removal of uninformative genes is also extremely conservative with us only removing genes that are not expressed in a minimum number of cells."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"adding percent mitochondrial genes to dataframe for species human\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
\n",
"\n",
"**Note**\n",
" \n",
"The specific thresholds chosen to define when a cell is of a low quality or when a gene should be removed from the dataset are strongly dependent on the dataset itself. This is why we always visualize the chosen cutoffs in relation to the distribution of values within the dataset to confirm that the cutoff is reasonable. Choosing the correct cutoff though is, currently, still largely based on the data analysts experience and personal intuition. Since the filtering of cells and genes can have a significant impact on the analysis results, it is extremely important to document the used filtering criteria.\n",
"\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"started with 13066 total cells and 19883 total genes\n",
"removed 8 cells that expressed more than 3500 genes\n",
"removed 3178 cells that did not express at least 600 genes\n",
"removed 0 cells that had more than 20000 counts\n",
"removed 35 cells that did not have at least 1200 counts\n",
"removed 7807 genes that were not expressed in at least 20 cells\n",
"removed 384 cells that expressed 10.0 percent mitochondrial genes or more\n",
"finished with 9461 total cells and 12076 total genes\n"
]
}
],
"source": [
"adata = bc.pp.filter(adata, max_counts=max_counts, max_genes = max_genes, max_mito = max_mito, min_genes = min_genes, min_cells = min_cells, min_counts = min_counts)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"**Note**\n",
" \n",
"After filtering it is usually a good idea to take another look at the distribution of cells within your dataset since it can occur that one Donor/Condition contained far more low quality cells than the others. Here e.g. Donor_1 seemed to be far less viable than the other Donors.\n",
"\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Characteristics of our cleaned up dataset"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Only 8.496% of all matrix entries are non-zero values!\n"
]
}
],
"source": [
"#does filtering change anything about the sparseness of our dataset?\n",
"count_non_zero = np.count_nonzero(adata.X.todense())\n",
"count_all_values = adata.X.todense().size\n",
"print('Only', str(round(count_non_zero / count_all_values * 100, 3 )) + '% of all matrix entries are non-zero values!')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"**Note**\n",
" \n",
"Even after filtering our matrix to only include viable cells and to eliminate not expressed genes our dataset is still extremley sparse. This is common for single-cell datasets and one of the computational challenges we face in single-cell analysis.\n",
"\n",
"
\n",
"\n",
"**Note**\n",
" \n",
"After filtering our librarysize distribution now follows more of a normal distribution. This indicates that we chose good filtering parameters to eliminate the cells that were already dead or empty beads.\n",
"\n",
"
\n",
"\n",
"**Note**\n",
" \n",
"The most strongly and commonly expressed genes are ribosomal and mitochondrial.\n",
"\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Thought experiment: what happens if we remove all of the mitochondrial and ribosomal proteins from the dataset?\n",
"bdata = adata.copy()\n",
"bdata = bdata[:,[not(x.startswith('MT-')) for x in bdata.var_names.tolist()]]\n",
"bdata = bdata[:,[not(x.startswith('RP')) for x in bdata.var_names.tolist()]]\n",
"\n",
"bc.pl.top_genes_counts(bdata, top_n = 25, ax = None)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"**Note**\n",
" \n",
"Now we see a high number of marker genes for Immunecells. Also the variance in expression of these genes is significantly higher (indication for differential expression).\n",
"\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Normalization\n",
"\n",
"Since each cell has a different library size it is common to normalize the UMI counts to each cells library size. In addition we save an additional copy of our dataset at its current status (we refer to this as **cp10k** values) for visualizing gene expression or doing differential gene expression later on."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"matrix([[0., 0., 0., 0.],\n",
" [0., 0., 0., 0.],\n",
" [0., 0., 0., 0.],\n",
" [0., 0., 0., 0.],\n",
" [0., 1., 0., 0.],\n",
" [0., 0., 0., 0.],\n",
" [0., 0., 0., 0.],\n",
" [0., 1., 0., 0.],\n",
" [0., 1., 0., 0.],\n",
" [0., 0., 1., 0.]], dtype=float32)"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#before normalization we have discrete counts\n",
"adata.X.todense()[0:10, 0:4]"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"scrolled": false
},
"outputs": [],
"source": [
"#normalize per cell\n",
"sc.pp.normalize_per_cell(adata, counts_per_cell_after=1e4)\n",
"\n",
"#save a copy (logarithmized for better understanding of values) to adata.raw\n",
"adata.raw = sc.pp.log1p(adata, copy= True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"**What does cp10k mean?**\n",
" \n",
"cp10k of 100 means that 100 out of a total of 10000 UMI counts belong to that cell. That is equivalent to a fraction of 0.01 (1%)!\n",
"\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## variance in single cell datasets\n",
"\n",
"The characteristic that most strongly sets apart a single-cell RNAseq assay from bulk RNAseq is that measurments are subject to multiple, potent and often confounded sources of variance. Sources of variance can roughly be grouped into **biologial sources of variance** (e.g. cell cycle, cell type heterogeneity, transcriptional bursts, etc.) and **technical sources of variance** (e.g. capture efficiency, PCR amplification bias, contamination, cell damage, etc.). \n",
"\n",
"### highly variable genes\n",
"\n",
"Variation in gene abundance estimates between different cells can be thought of as the **combination between technical (mainly due to sampling) and biological sources of variance**. Generally one wants to focus on the biological variance and try and eliminate the experimental noise as much as possible.\n",
"\n",
"The technical noise due to sampling is dependent on the expression level of the gene. Genes that are lowly expressed are much more strongly effected by sampling noise since the foldchanges resulting simply from a random sampling can be quite large. This simple intuition is easily visible if you plot the relationship between a gene's dispersion (here the coefficient of variation) and the mean gene expression."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# calculate mean and coefficient of variation for each gene and add to adata.var\n",
"adata.var['mean'] = adata.X.todense().mean(axis = 0).tolist()[0]\n",
"adata.var['mean_log1p'] = np.log2(adata.var.get('mean').values)\n",
"adata.var['coeffvar'] = scipy.stats.variation(adata.X.todense(), axis = 0)\n",
"adata.var['coeffvar_log1p'] = np.log2(adata.var.get('coeffvar').values)\n",
"\n",
"#generate a plot of our data to visualize\n",
"x = adata.var.mean_log1p.to_frame()\n",
"y = adata.var.coeffvar_log1p.to_frame()\n",
"\n",
"#calculate linear fit between mean and cv\n",
"from sklearn import linear_model\n",
"\n",
"#generate linear model\n",
"lm = linear_model.LinearRegression()\n",
"model = lm.fit(x,y)\n",
"\n",
"#make predictions\n",
"X = range(int(min(x['mean_log1p'])), int(max(x['mean_log1p'])))\n",
"predictions = lm.predict(pd.DataFrame(data = list(X)))\n",
"\n",
"#generate plot\n",
"fig = plt.figure(figsize=(10,6))\n",
"ax = fig.add_subplot(1, 1, 1)\n",
"ax.scatter(x = x, y = y, alpha = 0.5, s=1, color = 'black')\n",
"ax.set_xlabel('log2(mean gene expression)')\n",
"ax.set_ylabel('log2(coefficient of variation)')\n",
"ax.set_title('mean variance trend')\n",
"ax.plot(X, predictions, color = 'red', linestyle = 'dashed', label=\"linear regression\")\n",
"ax.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The linear fit we calculated (red line) for this dataset represents the expected variance of a gene when the only source of variance is technical. This means that genes that fall above this line are **overdispersed** and should be enriched for genes whose fluctuations represent biological variation. These are the genes we are especially interested in in our analysis which we call **highly variable genes**.\n",
"\n",
"Scanpy also comes with a function to filter highly variable genes according to the above outlined criteria which we will use for filtering."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"number of variable genes selected 1599\n"
]
}
],
"source": [
"variable_genes_min_mean = 0.01\n",
"variable_genes_max_mean = 5\n",
"variable_genes_min_disp = 0.4\n",
"\n",
"#identify genes with variable expression\n",
"filter_result = sc.pp.filter_genes_dispersion(adata.X, min_mean=variable_genes_min_mean, max_mean=variable_genes_max_mean, min_disp=variable_genes_min_disp) \n",
"sc.pl.filter_genes_dispersion(filter_result)\n",
"nbr_variable_genes = sum(filter_result.gene_subset)\n",
"print('number of variable genes selected ', nbr_variable_genes )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"**Note**\n",
" \n",
"the parameters we use for selecting highly variable genes stay constant for most of our analysis! This is not dataset dependent.\n",
"\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"#count mitochondrial and ribosomal genes in dataset before highly variable gene selection\n",
"genes = adata.var_names.tolist()\n",
"mito_genes = [i for (i, v) in zip(genes, [x.startswith('MT-') for x in genes]) if v]\n",
"ribosomal_genes = [i for (i, v) in zip(genes, [x.startswith('RP') for x in genes]) if v]"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"#perform the actual filtering\n",
"adata = adata[:, filter_result.gene_subset]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"**Note**\n",
" \n",
"our adata object now **only** contains the highly variable genes, but we still have access to all genes through the adata.raw object we saved earlier specifically for this purpose.\n",
"\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Before selection of highly variable genes:\n",
"\t Mitochondrial genes: 13\n",
"\t Ribosomal genes: 129\n",
"After selection of highly variable genes:\n",
"\t Mitochondrial genes: 4\n",
"\t Ribosomal genes: 8\n"
]
}
],
"source": [
"#count mitochondrial and ribosomal genes in dataset after highly variable gene selection\n",
"highly_var_genes = adata.var_names.tolist()\n",
"high_var_mito_genes = [i for (i, v) in zip(highly_var_genes, [x.startswith('MT-') for x in highly_var_genes]) if v]\n",
"high_var_ribosomal_genes = [i for (i, v) in zip(highly_var_genes, [x.startswith('RP') for x in highly_var_genes]) if v]\n",
"\n",
"#compare counts before and after filtering\n",
"print('Before selection of highly variable genes:')\n",
"print(\"\\t Mitochondrial genes: \", str(len(mito_genes)))\n",
"print(\"\\t Ribosomal genes: \", str(len(ribosomal_genes)))\n",
"print('After selection of highly variable genes:')\n",
"print(\"\\t Mitochondrial genes: \", str(len(high_var_mito_genes)))\n",
"print(\"\\t Ribosomal genes: \", str(len(high_var_ribosomal_genes)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"**Note**\n",
" \n",
"By reducing the genes to the highly variable genes we have significantly reduced the number of mitochondrial and ribosomal genes in our dataset. Depending on the analysis it might make sense though to completely remove the mitochondrial and ribosomal genes before hand. In our standard analysis pipeline we leave them in since removing them does entail removing additional information.\n",
"\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"hist1_dat = adata.X.todense()"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"#log transform our data (is easier to work with numbers like this)\n",
"sc.pp.log1p(adata)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"## To do: Currently not working:\n",
"#fig = plt.figure(figsize=(15,6))\n",
"#\n",
"##visualize distribution before logarithmization\n",
"#ax1 = fig.add_subplot(1, 2, 1)\n",
"#ax1 = sns.distplot(hist1_dat.flatten());\n",
"#ax1.set_title('Distribution of values before logarithmization');\n",
"#ax1.set_ylabel('frequency')\n",
"#ax1.set_xlabel('cp10k')\n",
"#\n",
"##visualize distribution after logarithmization\n",
"#ax2 = fig.add_subplot(1, 2, 2)\n",
"#ax2 = sns.distplot(adata.X.todense().flatten());\n",
"#ax2.set_title('Distribution of values after logarithmization');\n",
"#ax2.set_ylabel('frequency');\n",
"#ax2.set_xlabel('log1p(cp10k)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"**Explanation of log1p()**\n",
"\\begin{equation}\n",
"log1p(x) = \\ln{(x+1)}\n",
"\\end{equation}\n",
"\n",
"The +1 is necessary to ensure that if there are counts of 0 we do not get an NA (logarithm of 0 is undefined)\n",
"\n",
"remember that a logarithmic scale is not linear! A log1p(cp10k) value of 5 represents roughly 150 UMI counts and one of 8 already almost 3000!\n",
"\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### unwanted sources of variance\n",
"\n",
"As we have already seen part of the observed variation in the dataset is coming from sources that are not biological (e.g technical batch, library size) but there are also sources of variance that are biological in nature but trivial and unrelated to the question we want to address (e.g. cells in different cell cycle stages or apoptotic vs healthy cells). \n",
"\n",
"One approach to overcoming these issues is to explicitly correct for this unwanted source of variation (e.g. using regress out). This can only be applied though if the source of variance is known and can be identified. Such approaches also run the risk of overcorrecting the data which is why they should be used sparingly. \n",
"\n",
"In our analysis pipeline we correct for two basic sources of additional variance whose effect we have already calculated above: the number of counts per cell and the mitochondrial gene content per cell. "
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"#define several input factors\n",
"random_seed = 0 #define a random seed so that for stochastic processes you get reproducible results\n",
"max_value = 10"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"#remove variance due to difference in counts and percent mitochondrial gene content\n",
"adata = sc.pp.regress_out(adata, ['n_counts', 'percent_mito'], copy=True)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"sc.pp.scale(adata, max_value=10) # Scale data to unit variance and zero mean, and cut-off at max value 10"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"
write out regressedOut values for loading into database
"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [],
"source": [
"## batch correction would occur here if performed\n",
"## will write out AnnData object to demonstrate batch correction later\n",
"adata.write('/tmp/adata_pbmc_FRESH_regressedOut.h5ad')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## dimension reduction\n",
"\n",
"One of the distinguishing characteristics of single-cell RNAseq data is the high dimensionality of the dataset. For each individual cell we have the entire transcriptome (albeit in a sparse format). One of the key steps in single-cell analysis is to apply methods to reduce the number of dimensions we look when we e.g. want to identify cell groupings that encompass biological subtypes.\n",
"\n",
"**Overview** \n",
"**step 1**: principle component analysis (PCA) \n",
"**step 2**: nearest neighbor calculation based on the top 50 principle components \n",
"**step 3**: clustering to identify cell groupings (i.e. clusters) \n",
"**step 4**: visualization of high dimensional data on two dimensions (tSNE and UMAP) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Principle component analysis\n",
"\n",
"A principal component analysis is an approach that seeks to identify summary features (called components) that are linear combinations of different variables in the dataset. Each principle component is orthogonal to all other components and tries to capture the maximum dispersion not yet explained by previous components. Therefore, each added component will account for progressively lower fractions of the overall dataset features. As a result you can use a PCA to describe a dataset using a much lower number of features (here principle components) thus reducing the dimensionality of the dataset. "
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 363,
"width": 353
}
},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 347,
"width": 940
}
},
"output_type": "display_data"
}
],
"source": [
"sc.settings.set_figure_params(dpi=90)\n",
"\n",
"#calculate 50 principle components of the dataset\n",
"sc.tl.pca(adata, random_state=random_seed, svd_solver='arpack')\n",
"\n",
"#visualize the amount of variance explained by each PC\n",
"sc.pl.pca_variance_ratio(adata)\n",
"\n",
"#visualize the loadings onto the first 3 PCs\n",
"sc.pl.pca_loadings(adata)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"**Note**\n",
" \n",
"compared to bulk RNAseq datasets the fraction of variance explained by each principle component is much lower in single-cell datasets due to the extremely high dimensionality of the dataset. This is why other dimensionality reduction techniques are used.\n",
"\n",
"
\n",
"\n",
"**Note**\n",
" \n",
"For larger datasets the tSNE calculation can run significantly longer than the umap calculation. Here we have speed up the process through use of an additional python package which allows tSNE to run on multiple cores in parallel.\n",
"\n",
"
\n",
"\n",
"**Differences between UMAP and t-SNE**\n",
" \n",
"UMAP performs better at preserving aspects of **global structure** of the data than tSNE, where as t-SNE only conserves **local structure**. This is extremely important to keep in mind when interpreting the data. As a note both UMAP and t-SNE do not represent clustering methods!\n",
"\n",
"