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"cell_type": "markdown",
"metadata": {},
"source": [
"# Python MAGIC EMT tutorial\n",
"\n",
"## MAGIC (Markov Affinity-Based Graph Imputation of Cells)\n",
"\n",
"- MAGIC imputes missing data values on sparse data sets, restoring the structure of the data\n",
"- It also proves dimensionality reduction and gene expression visualizations\n",
"- MAGIC can be performed on a variety of datasets\n",
"- Here, we show the effectiveness of MAGIC on epithelial-to-mesenchymal transition (EMT) data\n",
" \n",
"Markov Affinity-based Graph Imputation of Cells (MAGIC) is an algorithm for denoising and transcript recover of single cells applied to single-cell RNA sequencing data, as described in Van Dijk D et al. (2018), Recovering Gene Interactions from Single-Cell Data Using Data Diffusion, Cell https://www.cell.com/cell/abstract/S0092-8674(18)30724-4.\n",
"\n",
"This tutorial shows loading, preprocessing, MAGIC imputation and visualization of myeloid and erythroid cells in mouse bone marrow, as described by Paul et al., 2015. You can edit it yourself at https://colab.research.google.com/github/KrishnaswamyLab/MAGIC/blob/master/python/tutorial_notebooks/bonemarrow_tutorial.ipynb\n",
"\n",
"### Table of Contents\n",
"\n",
"Installation\n",
" \n",
"Loading data\n",
" \n",
"Data preprocessing\n",
" \n",
"Running MAGIC\n",
" \n",
"Visualizing gene-gene interactions\n",
" \n",
"Visualizing cell trajectories with PCA on MAGIC and PHATE\n",
" \n",
"Using MAGIC data in downstream analysis\n",
"\n",
"\n",
"\n",
"\n",
"### Installation \n",
"\n",
"If you haven't yet installed MAGIC, we can install it directly from this Jupyter Notebook."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"!pip install --user magic-impute"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Importing MAGIC\n",
"\n",
"Here, we'll import MAGIC along with other popular packages that will come in handy."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import magic\n",
"import scprep\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Matplotlib command for Jupyter notebooks only\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Loading Data\n",
"\n",
"Load your data using one of the following `scprep.io` methods: `load_csv`, `load_tsv`, `load_fcs`, `load_mtx`, `load_10x`. You can read about how to use them with `help(scprep.io.load_csv)` or on https://scprep.readthedocs.io/.\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
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"execution_count": 6,
"metadata": {},
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],
"source": [
"bmmsc_data = scprep.normalize.library_size_normalize(bmmsc_data)\n",
"bmmsc_data = scprep.transform.sqrt(bmmsc_data)\n",
"bmmsc_data.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"### Running MAGIC\n",
"\n",
"Now that your data has been preprocessed, you are ready to run MAGIC.\n",
"\n",
"#### Creating the MAGIC operator\n",
"\n",
"If you don't specify any parameters, the following line creates an operator with the following default values: `knn=10`, `decay=15`, `t='auto'`."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"magic_op = magic.MAGIC(knn=5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Running MAGIC with gene selection\n",
"\n",
"The magic_op.fit_transform function takes the normalized data and an array of selected genes as its arguments. If no genes are provided, MAGIC will return a matrix of all genes. The same can be achieved by substituting the array of gene names with `genes='all_genes'`."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calculating MAGIC...\n",
" Running MAGIC on 2416 cells and 10782 genes.\n",
" Calculating graph and diffusion operator...\n",
" Calculating PCA...\n",
" Calculated PCA in 6.44 seconds.\n",
" Calculating KNN search...\n",
" Calculated KNN search in 1.26 seconds.\n",
" Calculating affinities...\n",
" Calculated affinities in 0.88 seconds.\n",
" Calculated graph and diffusion operator in 8.81 seconds.\n",
" Calculating imputation...\n",
" Automatically selected t = 10\n",
" Calculated imputation in 1.00 seconds.\n",
"Calculated MAGIC in 10.53 seconds.\n"
]
},
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"bmmsc_magic = magic_op.fit_transform(bmmsc_data, genes=[\"Mpo\", \"Klf1\", \"Ifitm1\"])\n",
"bmmsc_magic.head()"
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},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualizing gene-gene relationships\n",
"\n",
"\n",
"We can see gene-gene relationships much more clearly after applying MAGIC. Note that the change in absolute values of gene expression is not meaningful - the relative difference is all that matters."
]
},
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, (ax1, ax2) = plt.subplots(1,2, figsize=(16, 6))\n",
"\n",
"scprep.plot.scatter(x=bmmsc_data['Mpo'], y=bmmsc_data['Klf1'], c=bmmsc_data['Ifitm1'], ax=ax1,\n",
" xlabel='Mpo', ylabel='Klf1', legend_title=\"Ifitm1\", title='Before MAGIC')\n",
"\n",
"scprep.plot.scatter(x=bmmsc_magic['Mpo'], y=bmmsc_magic['Klf1'], c=bmmsc_magic['Ifitm1'], ax=ax2,\n",
" xlabel='Mpo', ylabel='Klf1', legend_title=\"Ifitm1\", title='After MAGIC')\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The original data suffers from dropout to the point that we cannot infer anything about the gene-gene relationships. As you can see, the gene-gene relationships are much clearer after MAGIC. These relationships also match the biological progression we expect to see - Ifitm1 is a stem cell marker, Klf1 is an erythroid marker, and Mpo is a myeloid marker."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Setting the MAGIC operator parameters\n",
"\n",
"If you wish to modify any parameters for your MAGIC operator, you change do so without having to recompute intermediate values using the `magic_op.set_params` method. Since our gene-gene relationship here appears a little too smooth, we can reduce `t` a little from the automatic value of `10` down to a smaller value like `4`."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"MAGIC(a=None, decay=15, k=None, knn=5, knn_dist='euclidean', n_jobs=1,\n",
" n_pca=100, random_state=None, t=4, verbose=1)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"magic_op.set_params(t=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now run MAGIC on the data again with the new parameters. Given that we have already fitted our MAGIC operator to the data, we should run the `magic_op.transform` method."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calculating imputation...\n",
"Calculated imputation in 0.23 seconds.\n"
]
},
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1,2, figsize=(16, 6), subplot_kw={'projection':'3d'})\n",
"\n",
"scprep.plot.scatter3d(bmmsc_pca, c=bmmsc_data['Ifitm1'], \n",
" label_prefix=\"PC\", title='PCA without MAGIC',\n",
" legend_title=\"Ifitm1\", ax=ax1, ticks=False)\n",
"\n",
"scprep.plot.scatter3d(bmmsc_magic_pca, c=bmmsc_magic['Ifitm1'], \n",
" label_prefix=\"PC\", title='PCA with MAGIC',\n",
" legend_title=\"Ifitm1\", ax=ax2, ticks=False)\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualizing MAGIC values with PHATE\n",
"\n",
"In complex systems, two dimensions of PCA are not sufficient to view the entire space. For this, PHATE is a suitable visualization tool which works hand in hand with MAGIC to view how gene expression evolves along a trajectory. For this, you will need to have installed PHATE. For help using PHATE, visit https://phate.readthedocs.io/."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"!pip install --user phate"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"import phate"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calculating PHATE...\n",
" Running PHATE on 2416 cells and 10782 genes.\n",
" Calculating graph and diffusion operator...\n",
" Calculating PCA...\n",
" Calculated PCA in 5.34 seconds.\n",
" Calculating KNN search...\n",
" Calculated KNN search in 1.20 seconds.\n",
" Calculating affinities...\n",
" Calculated affinities in 0.08 seconds.\n",
" Calculated graph and diffusion operator in 6.72 seconds.\n",
" Calculating landmark operator...\n",
" Calculating SVD...\n",
" Calculated SVD in 0.29 seconds.\n",
" Calculating KMeans...\n",
" Calculated KMeans in 21.44 seconds.\n",
" Calculated landmark operator in 23.62 seconds.\n",
" Calculating diffusion potential...\n",
" Calculated diffusion potential in 3.28 seconds.\n",
" Calculating metric MDS...\n",
" Calculated metric MDS in 28.53 seconds.\n",
"Calculated PHATE in 62.17 seconds.\n"
]
}
],
"source": [
"data_phate = phate.PHATE(knn=4, decay=100, t=20).fit_transform(bmmsc_data)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"scprep.plot.scatter2d(data_phate, c=bmmsc_magic['Ifitm1'], figsize=(12,9),\n",
" ticks=False, label_prefix=\"PHATE\", legend_title=\"Ifitm1\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that the structure of the data that we see here is much more subtle than in PCA. We see multiple branches at both ends of the trajectory. To learn more about PHATE, visit ."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Animating the MAGIC smoothing process"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To visualize what it means to set `t` in MAGIC, we can plot an animation of the smoothing process, from raw to imputed values. Below, we show an animation of _Mpo_, _Klf1_ and _Ifitm1_ with increasingly more smoothing."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"\n",
"\n",
"
\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"magic.plot.animate_magic(bmmsc_data, gene_x=\"Mpo\", gene_y=\"Klf1\", gene_color=\"Ifitm1\", operator=magic_op)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Using the MAGIC smoothed data in downstream analysis\n",
"\n",
"\n",
"Finally, if you wish to use the full smoothed matrix in any downstream analysis, you can extract it with the keyword `genes=\"all_genes\"`. Note that this matrix may be very large."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"