{ "cells": [ { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Morphological Analyses\n", "**********************\n", "\n", "This section should give you an impression of how to access and compute morphological properties of neurons. You will note that most of this uses `navis `_ functions. ``CatmaidNeuron/Lists`` are fully compatible with ``navis`` and you should most definitely check out tutorials on its docs. \n", "\n", "Basic properties\n", "================\n", "Many basic parameters are readily accessible through attributes of :class:`~pymaid.CatmaidNeuron` or :class:`~pymaid.CatmaidNeuronList`:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO : Global CATMAID instance set. (pymaid.fetch)\n", "INFO : Looking for Annotation(s): glomerulus DA1 right excitatory (pymaid.fetch)\n", "INFO : Found 8 skeletons with matching annotation(s) (pymaid.fetch)\n" ] }, { "data": { "text/plain": [ "array([1591.51982146, 1182.10245803, 1035.09925403, 1113.15667872,\n", " 1215.92059396, 1182.6479815 , 1059.72905251, 1109.88615456])" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pymaid\n", "import matplotlib.pyplot as plt\n", "\n", "rm = pymaid.CatmaidInstance('server_url', 'api_token', 'http_user', 'http_password')\n", "\n", "nl = pymaid.get_neurons('annotation:glomerulus DA1 right excitatory')\n", "\n", "# Access single attribute: e.g. cable lengths [um]\n", "nl.cable_length" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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neuron_nameskeleton_idn_nodesn_connectorsn_branch_nodesn_end_nodesopen_endscable_lengthreview_statussoma
0PN glomerulus DA1 27296 BH272959969463211218581590.676589NATrue
1PN glomerulus DA1 57312 LK5731148744211561631051180.597489NATrue
2PN glomerulus DA1 57324 LK JSL573234585434120127591035.076857NATrue
3PN glomerulus DA1 57354 GA5735348953249095521113.156676NATrue
4PN glomerulus DA1 57382 ML573817727357153162711215.920594NATrue
\n", "
" ], "text/plain": [ " neuron_name skeleton_id n_nodes n_connectors \\\n", "0 PN glomerulus DA1 27296 BH 27295 9969 463 \n", "1 PN glomerulus DA1 57312 LK 57311 4874 421 \n", "2 PN glomerulus DA1 57324 LK JSL 57323 4585 434 \n", "3 PN glomerulus DA1 57354 GA 57353 4895 324 \n", "4 PN glomerulus DA1 57382 ML 57381 7727 357 \n", "\n", " n_branch_nodes n_end_nodes open_ends cable_length review_status soma \n", "0 211 218 58 1590.676589 NA True \n", "1 156 163 105 1180.597489 NA True \n", "2 120 127 59 1035.076857 NA True \n", "3 90 95 52 1113.156676 NA True \n", "4 153 162 71 1215.920594 NA True " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# .. or get a full summary as pandas DataFrame\n", "df = nl.summary()\n", "df.head()" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Rerooting, resampling, simplifying\n", "==================================\n", "``navis`` lets you perform (virtual) surgery on neurons. Many of the base functions are also accessible directly via :class:`~pymaid.CatmaidNeuron` and :class:`~pymaid.CatmaidNeuronList` methods. E.g. :func:`pymaid.CatmaidNeuronList.resample` is simply calling :func:`navis:navis.resample_neuron`.\n", "\n", "Examples continue from above code." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3005291" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Reroot a single neuron to its soma\n", "nl[0].soma" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# .soma returns the treenode ID of the soma (if existing) and can be used to reroot\n", "nl[0].reroot(nl[0].soma, inplace=True)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# You can also perform this operation on the entire CatmaidNeuronList\n", "nl.reroot(nl.soma, inplace=True)" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Above code is equivalent to:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "import navis\n", "navis.reroot_skeleton(nl, nl.soma, inplace=True)" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "We will be using the shortcut (e.g. ``nl.reroot``) and the actual function (e.g. ``navis.reroot_skeleton``) interchangeably throughout the examples. This is not meant to be confusing but to be illustrative.\n", "\n", "If you work with large lists you may want to down-/resample before e.g. plotting." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Downsample by \"skipping\" N nodes (here: 10) \n", "nl_downsampled = navis.downsample(nl, 10, inplace=False)\n", "# More elaborate: resample to given resolution in nanometers (here: 1000nm = 1um)\n", "nl_resampled = navis.resample_skeleton(nl, 1000, inplace=False)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "# Plot an original neuron first\n", "fig, ax = navis.plot2d(nl[0], color='red')\n", "\n", "# Shift the downsampled and resampled versions slightly and plot\n", "n_ds = nl_downsampled[0].copy()\n", "n_rs = nl_resampled[0].copy()\n", "\n", "n_ds.nodes.x += 10000\n", "n_rs.nodes.x += 20000\n", "\n", "fig, ax = n_ds.plot2d(color='blue', ax=ax)\n", "fig, ax = n_rs.plot2d(color='green', ax=ax)\n", "\n", "plt.show()" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Looking closely, you will find that the downsampled (blue) and resampled (green) neurons are smoother. \n", "\n", ".. important::\n", " Note how we used ``inplace`` parameter when using the neuronlist's downsampling method? \n", " This parameter works like in pandas: if ``True`` will perform the action on the neuronlist, if\n", " ``False`` will operate on and return a copy and leave the original neuronlist unchanged." ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Cutting, pruning, pasting\n", "=========================\n", "\n", "Examples continue from above code." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Cut a neuron in two using either a node ID or (in this case) a node tag\n", "distal, proximal = navis.cut_skeleton(nl[0], cut_node='SCHLEGEL_LH')\n", "\n", "# Plot neuron fragments\n", "fig, ax = navis.plot2d(distal, color='red', method='2d', connectors=False)\n", "fig, ax = navis.plot2d(proximal, color='blue', method='2d', connectors=False, ax=ax)\n", "\n", "# Annotate cut point\n", "cut_coords = distal.nodes.set_index('node_id').loc[ distal.root, ['x','y'] ].values[0]\n", "ax.annotate('cut point', xy=(cut_coords[0], -cut_coords[1]), \n", " xytext=(cut_coords[0], -cut_coords[1]-20000), va='center', ha='center',\n", " arrowprops=dict(facecolor='black', shrink=0.01, width=1),\n", " )\n", "\n", "plt.show()" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Instead of cutting a neuron in two, we can also just prune bits off a neuron objects:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = nl[0].prune_distal_to('SCHLEGEL_LH', inplace=False)\n", "\n", "# Plot original neuron in black\n", "fig, ax = nl[0].plot2d(color='black', method='2d', connectors=False, linestyle=(0, (5, 10)))\n", "\n", "# Plot pruned neuron in red\n", "fig, ax = n.plot2d(color='red', method='2d', connectors=False, ax=ax)\n", "\n", "# Annotate cut point\n", "ax.annotate('cut point', xy=(cut_coords[0], -cut_coords[1]), \n", " xytext=(cut_coords[0], -cut_coords[1]-20000), va='center', ha='center',\n", " arrowprops=dict(facecolor='black', shrink=0.01, width=1),\n", " )\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# To undo, simply reload the neuron from server\n", "nl[0].reload()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# These operations can also be performed on a collection of neurons\n", "n = nl[:5].prune_distal_to('SCHLEGEL_LH', inplace=False)\n", "\n", "# Plot original neurons in black\n", "fig, ax = nl[:5].plot2d(color='black', method='2d', connectors=False, linestyle=(0, (5, 10)))\n", "\n", "# Plot pruned neurons in red\n", "fig, ax = n.plot2d(color='red', method='2d', connectors=False, ax=ax)\n", "\n", "# Annotate cut point\n", "ax.annotate('cut point', xy=(cut_coords[0], -cut_coords[1]), \n", " xytext=(cut_coords[0], -cut_coords[1]-20000), va='center', ha='center',\n", " arrowprops=dict(facecolor='black', shrink=0.01, width=1),\n", " )\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Again, let's undo\n", "nl.reload()\n", "nl.reroot(nl.soma)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Something more sophisticated: pruning by strahler index\n", "n = nl[:5].prune_by_strahler( to_prune = [1,2,3], inplace=False )\n", "\n", "# Plot original neurons in black\n", "fig, ax = nl[:5].plot2d(color='black', method='2d', connectors=False)\n", "\n", "# Plot pruned neurons in red\n", "fig, ax = n.plot2d(color='red', method='2d', connectors=False, ax=ax, linewidth=1.5)\n", "\n", "# Annotate cut point\n", "ax.annotate('cut point', xy=(cut_coords[0], -cut_coords[1]), \n", " xytext=(cut_coords[0], -cut_coords[1]-20000), va='center', ha='center',\n", " arrowprops=dict(facecolor='black', shrink=0.01, width=1),\n", " )\n", "\n", "plt.show()" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "We can also intersect neurons with CATMAID volumes:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# Again, let's undo\n", "nl.reload()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# Get a volume\n", "lh = pymaid.get_volume('LH_R')\n", "\n", "# Prune by volume\n", "nl_lh = navis.in_volume(nl, lh, inplace=False)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set color of volume\n", "lh['color'] = (250,250,250,.2)\n", "\n", "# Plot neurons that have some cable left and the volume\n", "fig, ax = navis.plot2d([nl_lh[nl_lh.cable_length > 10], lh], \n", " method='3d', \n", " connectors=False, \n", " linewidth=2)\n", "\n", "ax.dist=6\n", "plt.show()" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "And now go check out `navis `_!" ] } ], "metadata": { "celltoolbar": "Raw Cell Format", "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": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 2 }