{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

Wishbone for single cell RNA-seq

\n", "\n", "

Table of contents

\n", "
\n", "Introduction\n", "
\n", "Loading data\n", "
\n", "Data preprocessing\n", "
\n", "Running Wishbone\n", "
\n", "Visualizing Wishbone results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Introduction

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wishbone is an algorithm to identify bifurcating developmental trajectories from single cell data. Wishbone can applied to both single cell RNA-seq and mass cytometry datasets. This notebook details the usage of Wishbone for single cell RNA-seq data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Loading data

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wishbone can read single cell RNA-seq data from a csv file. The csv file contains cells in the rows and genes in the columns. First step is to import the package. The following code snipped imports the `wishbone` package along with other plotting related imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import wishbone\n", "\n", "# Plotting and miscellaneous imports\n", "import os\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "A sample RNA-seq csv data is installed at `~/.wishbone/data/sample_scseq_data.csv`. This sample data will be used to demonstrate the utilization and capabilities of the Wishbone package. This is a sample data derived from Paul et. al. and represents the differentiation of myeloid and erythroid precursors from hematopoietic stem cells in the mouse bone marrow
\n", "The data can be loaded using the `wishbone.wb.SCData.from_csv` function. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Load sample data\n", "scdata = wishbone.wb.SCData.from_csv(os.path.expanduser('~/.wishbone/data/sample_scseq_data.csv'), \n", " data_type='sc-seq', normalize=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This will create an object of the type `wishbone.wb.SCData` which is the base class for the analysis. This can be either be single cell RNA-seq or mass cytometry and is specified by using `data_type` parameter set to `sc-seq` or `masscyt` respectively. The `normalize` parameter is used for correcting for library size among cells." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A summary of the `scdata` object is shown below" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "SCData: 4423 cells x 2312 genes\n", "\n", "cluster_assignments=None\n", "data_type=True\n", "diffusion_eigenvalues=None\n", "diffusion_eigenvectors=None\n", "diffusion_map_correlations=None\n", "library_sizes=True\n", "metadata=True\n", "normalized=True\n", "pca=None\n", "reads=True\n", "tsne=None" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scdata" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This shows that the data matrix contains `4423` cells and `2312` genes along with the different properties of the `wishbone.wb.SCData` class." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `scdata` object can also be initialized using a `pandas DataFrame`. An example is shown below
\n", "\n", "scdata = wishbone.wb.SCData(data_frame, 'sc-seq')\n", "scdata = scdata = scdata.normalize_scseq_data()\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Data preprocessing

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Principal component analysis

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step in data processing for Wishbone is to determine metagenes using principal component analysis. This representation is necessary to overcome the extensive dropouts that are pervasive in single cell RNA-seq data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "scdata.run_pca()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each of the analysis function updates the `scdata` object. As shown below, the `pca` property of the `scdata` object is now changed to `True` compared to `False` when the object was created" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "SCData: 4423 cells x 2312 genes\n", "\n", "cluster_assignments=None\n", "data_type=True\n", "diffusion_eigenvalues=None\n", "diffusion_eigenvectors=None\n", "diffusion_map_correlations=None\n", "library_sizes=True\n", "metadata=True\n", "normalized=True\n", "pca=True\n", "reads=True\n", "tsne=None" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scdata" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The results of PCA i.e., the fraction of variance explained by each component can be visualized using the function `plot_pca_variance_explained`. Use the `ylim` and `n_components` parameters to set the y-axis limits and visualize variance explained by `n_components` respectively. Typically, most of the variance is explained by the first few components (No more than 15)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = scdata.plot_pca_variance_explained(ylim=(0, 0.1), n_components=30)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "From this, choose the appropriate number of components using the elbow method. While `tSNE` visualization is sensitive to the number of components chosen, downstream results are robust to this parameter. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

tSNE visualization

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wishbone uses tSNE for visualization and tSNE can be run using the `run_tsne` function which takes the number of principal components as the parameter. From the above plot, 5 seems an appropriate number of components to use." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "If running in notebook, please look at the command line window for tSNE progress log\n" ] } ], "source": [ "NO_CMPNTS = 5\n", "scdata.run_tsne(n_components=NO_CMPNTS, perplexity=30)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`perplexity` by default is set 30. This will be reduced automatically to 15 is the number of cells is less than 100. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "tSNE results can be visualized by the `plot_tsne` and `plot_tsne_by_cell_sizes` functions. The `plot_tsne_by_cell_sizes` function colors the cells by their molecule counts before normalization" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Na8XBZ1YR8Im3naOTRCGtdxbgp+828Q8fXqckMpUtFfPMB90vCjyzoVBjpjjT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\nrB2BEtSW58d9PhyT0NhQirY3X0JjQ4mj4FiMB+vemQlLtug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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = scdata.plot_tsne()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(,\n", " )" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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5yN69DXNoOEvXvMSUS4az/atFaPQmcrI3YIpIwqkXGDtoFANT00+3uacUZYj6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\nValU3kZw93CZiDpEValU3ka9BnecGuBUq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=[5, 4])\n", "scdata.plot_tsne_by_cell_sizes(fig=fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gene expression can be visualized on tSNE maps using the `plot_gene_expression` function. The `genes` parameter is an string iterable of genes, which are a subset of the expression of column names. The below function plots the expression of HSC gene `CD34`, myeloid gene `MPO` and erythroid precursor genes `GATA2` and `GATA1`. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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vcVqWzV9+t6/nnJ1bbVRVQUrJpvVNxKK9vXu0tcZ5581q1q2qxz6EChMqE6gf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = scdata.plot_gene_expression(genes = ['CD34', 'GATA2', 'GATA1', 'MPO'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Diffusion maps

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wishbone uses diffusion maps, a non-linear dimensionality reduction technique to denoise the data and capture the major axes of variation. Diffusion maps can be determined by using the `run_diffusion_map` function and the diffusion components visualized on tSNE maps using `plot_diffusion_components`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Run diffusion maps\n", "scdata.run_diffusion_map()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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frUWTdAKZuBtp7X9IfZhMKtxgK4xbTWbB1xB6gqcUnhYCDR2T8PNDlxFnzbm8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YIKupkSdAu8NELJlN5NXRy8q4XWFmsE9XFNq2WweSzWcZn1O9YvvfLCkz62f3F5BiXJOVWeedlq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = scdata.plot_diffusion_components()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note the component 0 is the trivial component and does not encode any information of the data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unlike mass cytometry data, the differentiation signals in single cell RNA-seq data by virtue of measuring the transcriptome are confounded by biological processes such as stress, cell cycle and metabolism. Since diffusion components, capture the major axes of variation, Wishbone uses gene set enrichment analysis among of genes along the top diffusion components to remove components that encode confounding signals. The relevant signals are usually present in the top 2-3 diffusion components
\n", "\n", "The first step in computing these enrichments is to determine the correlation of gene expression along each component to derive a ranking of genes along each component." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "scdata.run_diffusion_map_correlations()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function `plot_gene_component_correlations` shows the distribution of correlations along each component." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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B+OU6KBy0xaKZS6Yec8wxPPPMM7zxxhv86Ec/yp19eUw2ljYYAswGJgPtUhJL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\nHeCy/lcAkL3jGHn7Cxh11dBmj/8dp7KykqJq6BO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MyootlBZAnbPtfzu6jzfVAQFU+gRQ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\nfHkgoIzV07EAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = scdata.plot_gene_component_correlations()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The enrichments can be determined using the `run_gsea` function. This function needs the prefix for generating GSEA reports and a `gmt` file representing the different gene sets. The following invocation of the function shows the supported set of `gmt` files" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: The gmt files package with Wishbone assume all the gene names to be upper case. This can be ensured using the following code snipped." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "scdata.data.columns = scdata.data.columns.str.upper()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Available GSEA .gmt files:\n", "\n", "mouse:\n", "gofat.bp.v1.0.gmt.txt\n", "gofat.cc.v1.0.gmt.txt\n", "gofat.mf.v1.0.gmt.txt\n", "\n", "human:\n", "c1.all.v5.0.symbols.gmt.txt\n", "c2.all.v5.0.symbols.gmt.txt\n", "c3.all.v5.0.symbols.gmt.txt\n", "c5.all.v5.0.symbols.gmt.txt\n", "c6.all.v5.0.symbols.gmt.txt\n", "c7.all.v5.0.symbols.gmt.txt\n", "gofat.bp.v1.0.gmt.txt\n", "gofat.cc.v1.0.gmt.txt\n", "gofat.mf.v1.0.gmt.txt\n", "h.all.v5.0.symbols.gmt.txt\n", "\n", "Please specify the gmt_file parameter as gmt_file=(organism, filename)\n" ] } ], "source": [ "scdata.run_gsea( output_stem= os.path.expanduser('~/.wishbone/gsea/mouse_marrow'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since this is data from mouse, `gmt_file` parameter can be set to `(mouse, gofat.bp.v1.0.gmt.txt)`" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "If running in notebook, please look at the command line window for GSEA progress log\n" ] } ], "source": [ "reports = scdata.run_gsea(output_stem= os.path.expanduser('~/.wishbone/gsea/mouse_marrow'), \n", " gmt_file=('mouse', 'gofat.bp.v1.0.gmt.txt'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The detailed reports can be found at `~/.wishbone/gsea/`" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "!open ~/.wishbone/gsea/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`run_gsea` function also returns the top enrichment gene sets along each component. GSEA determines enrichments that are either positively or negatively correlated with the gene component correlations. In this datasets, components 1 and 2 show relevant enrichments and are used for running Wishbone. Please see `Selection of diffusion components for single cell RNA-seq` section of the Supplementary Methods for more details." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "NAME\n", "GO_0006952|DEFENSE RESPONSE 0.000000\n", "GO_0006955|IMMUNE RESPONSE 0.000000\n", "GO_0009611|RESPONSE TO WOUNDING 0.008667\n", "GO_0007610|BEHAVIOR 0.020519\n", "GO_0045321|LEUKOCYTE ACTIVATION 0.096134\n", "Name: FDR q-val, dtype: float64" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Component 1 enrichments\n", "reports[1]['neg']" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "NAME\n", "GO_0006955|IMMUNE RESPONSE 0.000000\n", "GO_0045321|LEUKOCYTE ACTIVATION 0.009399\n", "GO_0001775|CELL ACTIVATION 0.014195\n", "Name: FDR q-val, dtype: float64" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Component 2 enrichments\n", "reports[2]['pos']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Saving SCData object

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `SCData` object can be saved to a pickle file and loaded using the `save` and `load` functions.\n", "\n", "scdata.save('mouse_marrow_scdata.p')\n", "scdata = wishbone.wb.SCdata.load('mouse_marrow_scdata.p')\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Running Wishbone

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`wishbone.wb.Wishbone` is the class for running Wishbone. After initialization, Wishbone can be run by specifying the start cell, components to use and number of waypoints to be used. The start cell for this dataset was chosen based on high expression of CD34." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Building lNN graph...\n", "lNN computed in : 0.02 seconds\n", "Determining waypoints if not specified...\n", "Determining shortest path distances and perspectives....\n", "......................................................................................................................................................\n", "Time for determining distances and perspectives: 21.77 seconds\n", "Determining branch point and branch associations...\n", "Running iterations...\n", "Iteration: 2\n", "Correlation with previous iteration: 0.9991\n", "Iteration: 3\n", "Correlation with previous iteration: 0.9995\n", "Iteration: 4\n", "Correlation with previous iteration: 0.9998\n", "Iteration: 5\n", "Correlation with previous iteration: 0.9998\n", "Iteration: 6\n", "Correlation with previous iteration: 1.0000\n", "5 realignment iterations\n" ] } ], "source": [ "# Wishbone class\n", "wb = wishbone.wb.Wishbone(scdata)\n", "wb.run_wishbone(start_cell='W30258', components_list=[1, 2], num_waypoints=150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`Wishbone` objects contain the `SCData` object along with the identified trajectory, branch associations and waypoints" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Wishbone object: 4423 cells x 2312 genes\n", "\n", "branch=True\n", "branch_colors=True\n", "trajectory=True\n", "waypoints=True" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wb" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Visualizing Wishbone results

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wishbone trajectory and branch results can be visualized on tSNE maps using the `plot_wishbone_on_tsne` function" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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pZ3NppN38VxRWcvSdU2mw7l7w2Fx8pimXpaQokZ/aUgj7TY0ptxyLpikN80Dg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\nIhKBAlNERCQCBaaIiEgE/wNSfzSMX9h3FwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = wb.plot_wishbone_on_tsne()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gene expression trends along the Wishbone trajectory can be visualized using the `plot_marker_trajectory` function. This function also returns the smoothed trends along with the matplotlib fig, ax handler objects." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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oSTSXN64rgapAtJwRZx9uIcTBq9GBs1LKDSigzoIMrfW3zd0pcWgy2Wy4ppyA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\n0Pr1bJ90HkXnX4gRDDb5dWsCIa57ZQ4r8yqsY3dM7MPZw7o0w7uKir3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VONf+9DPV77xD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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vals, fig, ax = wb.plot_marker_trajectory(['CD34', 'GATA1', 'GATA2', 'MPO']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The marker trends can be visualized as heatmaps in a given trajectory range using the following functions" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(,\n", " )" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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9qwPhvpKariU+sqvV4W0AtdrQ91R6fmhLve9SfaoZn/PpPpVUnajW37MZ9aNaSU2nl83I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\nGpiKiEguynQci4i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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wb.plot_marker_heatmap(vals)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(,\n", " )" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZtC+AyXWS08l10tpeVSbxZ3f5uvj031+oruOep+OZt37d+Pg2NlTn2/pEvevW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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wb.plot_marker_heatmap(vals, trajectory_range=[0.1, 0.6])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The change in marker trends along the trajectory or derivatives can be visualized using these functions" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(,\n", " )" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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tnrCfyt1hXrl3Wnw/ZcR0ALrT+a6rUtHI7ZzIPmk3rUhIzVTvt2wmpo1dZByyzM2TRbP/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\nR4FnzOwJMzs9NjhEWkW5Wbk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wb.plot_derivatives(vals, trajectory_range=[0.3, 0.6])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similar to `SCData` objects, `Wishbone` objects can also be saved and loaded using `save` and `load` functions." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.5.0" } }, "nbformat": 4, "nbformat_minor": 0 }