synapse_visualizer.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Synapse Visualizer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook is modified from Allen Institute tutorial on working with Meshes by Forrest Collman  \n",
    "The original tutorial is located here:   https://github.com/AllenInstitute/MicronsBinder/blob/master/notebooks/intro/MeshExample.ipynb  \n",
    "Updated on Jan 6, 2023 with synapse ids that match Neuroglancer synapse ids"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python Requirements\n",
    "You will need to run this notebook in a Python 3.7 environment  \n",
    "Sometime meshparty will have a conflict with other tools and not work properly in Anaconda  \n",
    "If that happens, you will need to start over with a new Anaconda environment  \n",
    "Install allensdk first, then meshparty, then any other other tools desired  \n",
    "The installation described below worked well:  \n",
    "* Install new environment v3.7 in Anaconda\n",
    "* conda install jupyter\n",
    "* pip install allensdk\n",
    "* pip install meshparty\n",
    "* pip install caveclient\n",
    "* pip install 'itkwidgets[notebook]>=1.0a8'\n",
    "* pip install --upgrade --pre itk\n",
    "* pip install gdown"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import os"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from meshparty import trimesh_io, trimesh_vtk, skeleton, utils"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# setup the mesh meta to handle downloads and caching\n",
    "mesh_dir = 'data/neuron_meshes_v185/' # or change to your desired folder\n",
    "seg_source = \"precomputed://https://storage.googleapis.com/microns_public_datasets/pinky100_v185/seg\"\n",
    "mm = trimesh_io.MeshMeta(cv_path=seg_source,\n",
    "                         disk_cache_path=mesh_dir, \n",
    "                         cache_size=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# enter a cell id of interest (copy and paste from Neuroglancer or a dataframe of interest)\n",
    "\n",
    "cell_id = 648518346342793912\n",
    "\n",
    "#some interesting neurons\n",
    "\n",
    "# 648518346349538440 this excitatory pyramidal neuron has the most total synapses in the volume\n",
    "# 648518346349539215 this inhibitory basket neuron has the most pre-synaptic sites in the volume\n",
    "# 648518346349536971 no soma in the volume, appears to have an axon-carrying dendrite\n",
    "# 648518346349515985 this inhibitory neuron of unknown subtype has 5 pre-synaptic sites that appears to be on dendrites\n",
    "# 648518346349508279 not a neuron; this is an oligodendrocyte which has synaptic sites most likely due to mis-segmentation\n",
    "# 648518346349537741 the largest continous mitochondrion by voxels, for an excitatory pyramidal neuron in the volume\n",
    "# 648518346349538791 the largest continous mitochondrion by voxels, for an inhibitory neuron in the volume (basket) \n",
    "# 648518346349537611 partial excitatory pyramidal neuron with interesting mitochondria and synapse features\n",
    "# 648518346349538179 Martinotti inhibitory neuron\n",
    "# 648518346349540055 Excitatory pyramidal neuron with 9 pre-syn sites not located on the axon\n",
    "# 648518346349538789 Inhibitory neurogliaform interneuron\n",
    "# 648518346349527116 Partial pyramidal neuron listed as unknown in soma valence table; suspicious pre-syn sites (4)\n",
    "# 648518346349536938 a partial axon and basal dendrite from a soma near but outside the volume; a large # of synapses in the volume\n",
    "# 648518346349537042 interesting pyramidal neuron\n",
    "# 648518346349527116 partial pyramidal neuron in the corner of a volume\n",
    "# 648518346349539887 pyramidal neuron\n",
    "# 648518346349538157 pyramidal neuron slightly off axis\n",
    "# 648518346342793912 long apical dendrite from L4-6 with a prominent axon-carrying dendrite"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# If you get an error, run the next cell to download the mesh, then rerun this cell again\n",
    "seg_id = cell_id\n",
    "mesh_file = os.path.join(mesh_dir, str(seg_id)+'.h5')\n",
    "mesh = mm.mesh(filename = mesh_file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# If you get an error on the previous cell, run this cell\n",
    "# After the mesh is successfully downloaded, rerun the previous cell \n",
    "downloadmesh = mm.mesh(seg_id = seg_id, remove_duplicate_vertices=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "648518346342793912"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "seg_id"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'data/neuron_meshes_v185/648518346342793912.h5'"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mesh_file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(314049, 628298)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mesh.n_vertices, mesh.n_faces"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# read in the full synapse table\n",
    "soma_subgraph_df = pd.read_csv('data/221206_pni_synapses_v185.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
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      "text/plain": [
       "              id         pre_root_id        post_root_id  cleft_vx  \\\n",
       "0        2477272  648518346349538285  648518346349536759      1103   \n",
       "1        4538436  648518346342404863  648518346342414574        62   \n",
       "2        1124039  648518346342921567  648518346345323296        62   \n",
       "3        5245264  648518346342796822  648518346349537255       955   \n",
       "4        6928613  648518346342800412  648518346348190542       718   \n",
       "...          ...                 ...                 ...       ...   \n",
       "3239270  2167340  648518346348045782  648518346349537840       106   \n",
       "3239271  1944654  648518346347834064  648518346349537840        50   \n",
       "3239272  2749491  648518346347876810  648518346349537840       139   \n",
       "3239273  6924909  648518346348343883  648518346349537840       987   \n",
       "3239274  6923755  648518346348525239  648518346349537840       387   \n",
       "\n",
       "         ctr_pt_x_nm  ctr_pt_y_nm  ctr_pt_z_nm  pre_pos_x_vx  pre_pos_y_vx  \\\n",
       "0             280784       261896        40600         70050         65534   \n",
       "1             365832       292808        25800         91472         73196   \n",
       "2             229144       155952        48080         57250         39028   \n",
       "3             398452       208560        50760         99538         52184   \n",
       "4             461868       245212        53560        115462         61350   \n",
       "...              ...          ...          ...           ...           ...   \n",
       "3239270       268776       173356        14360         67190         43302   \n",
       "3239271       267344       156520         8520         66762         39152   \n",
       "3239272       292772       156680        12600         73136         39170   \n",
       "3239273       462768       237776         8520        115680         59370   \n",
       "3239274       461000       237944         8920        115270         59526   \n",
       "\n",
       "         pre_pos_z_vx  ctr_pos_x_vx  ctr_pos_y_vx  ctr_pos_z_vx  \\\n",
       "0                1015         70196         65474          1015   \n",
       "1                 645         91458         73202           645   \n",
       "2                1202         57286         38988          1202   \n",
       "3                1276         99613         52140          1269   \n",
       "4                1335        115467         61303          1339   \n",
       "...               ...           ...           ...           ...   \n",
       "3239270           361         67194         43339           359   \n",
       "3239271           213         66836         39130           213   \n",
       "3239272           315         73193         39170           315   \n",
       "3239273           208        115692         59444           213   \n",
       "3239274           222        115250         59486           223   \n",
       "\n",
       "         post_pos_x_vx  post_pos_y_vx  post_pos_z_vx  \n",
       "0                70104          65602           1015  \n",
       "1                91396          73216            645  \n",
       "2                57312          38966           1203  \n",
       "3                99550          52098           1276  \n",
       "4               115468          61296           1335  \n",
       "...                ...            ...            ...  \n",
       "3239270          67216          43364            360  \n",
       "3239271          66874          39134            213  \n",
       "3239272          73218          39160            315  \n",
       "3239273         115628          59430            214  \n",
       "3239274         115200          59464            222  \n",
       "\n",
       "[3239275 rows x 16 columns]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "soma_subgraph_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# filter all the pre- and post- synapses for this cell\n",
    "cell_post_subgraph = soma_subgraph_df.query(f'post_root_id=={seg_id}') #this shows all post-syn sites on this seg_id cell\n",
    "cell_pre_subgraph = soma_subgraph_df.query(f'pre_root_id=={seg_id}') #this one shows all pre-syn sites on the axon of seg_id cell\n",
    "\n",
    "# make an array of xyz synapse positions\n",
    "postsyn_xyz=cell_post_subgraph[['ctr_pt_x_nm', 'ctr_pt_y_nm', 'ctr_pt_z_nm']].values\n",
    "presyn_xyz=cell_pre_subgraph[['ctr_pt_x_nm', 'ctr_pt_y_nm', 'ctr_pt_z_nm']].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(309224.90625, 158263.828125)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f,ax = plt.subplots(figsize=(8,8))\n",
    "ax.scatter(mesh.vertices[::50,0], mesh.vertices[::50,1], s=2, alpha=1) # modify s and alpha to improve the visualization\n",
    "\n",
    "ax.scatter(postsyn_xyz[:,0], postsyn_xyz[:,1], c='red', s=1, alpha=1) # modify c, s, and alpha if desired\n",
    "ax.set_aspect('equal')\n",
    "ax.set_ylim(np.max(mesh.vertices[:,1]), np.min(mesh.vertices[:,1]))\n",
    "\n",
    "ax.scatter(presyn_xyz[:,0], presyn_xyz[:,1], c='green', s=15, alpha=1) # modify c, s, and alpha if desired\n",
    "ax.set_aspect('equal')\n",
    "ax.set_ylim(np.max(mesh.vertices[:,1]), np.min(mesh.vertices[:,1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "680"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(postsyn_xyz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "36"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(presyn_xyz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>pre_root_id</th>\n",
       "      <th>post_root_id</th>\n",
       "      <th>cleft_vx</th>\n",
       "      <th>ctr_pt_x_nm</th>\n",
       "      <th>ctr_pt_y_nm</th>\n",
       "      <th>ctr_pt_z_nm</th>\n",
       "      <th>pre_pos_x_vx</th>\n",
       "      <th>pre_pos_y_vx</th>\n",
       "      <th>pre_pos_z_vx</th>\n",
       "      <th>ctr_pos_x_vx</th>\n",
       "      <th>ctr_pos_y_vx</th>\n",
       "      <th>ctr_pos_z_vx</th>\n",
       "      <th>post_pos_x_vx</th>\n",
       "      <th>post_pos_y_vx</th>\n",
       "      <th>post_pos_z_vx</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1246</th>\n",
       "      <td>5541018</td>\n",
       "      <td>648518346342921920</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>62</td>\n",
       "      <td>401344</td>\n",
       "      <td>279048</td>\n",
       "      <td>58560</td>\n",
       "      <td>100332</td>\n",
       "      <td>69714</td>\n",
       "      <td>1465</td>\n",
       "      <td>100336</td>\n",
       "      <td>69762</td>\n",
       "      <td>1464</td>\n",
       "      <td>100316</td>\n",
       "      <td>69794</td>\n",
       "      <td>1465</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5985</th>\n",
       "      <td>5306722</td>\n",
       "      <td>648518346341403453</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>67</td>\n",
       "      <td>396144</td>\n",
       "      <td>258616</td>\n",
       "      <td>57080</td>\n",
       "      <td>99056</td>\n",
       "      <td>64670</td>\n",
       "      <td>1429</td>\n",
       "      <td>99036</td>\n",
       "      <td>64654</td>\n",
       "      <td>1427</td>\n",
       "      <td>99004</td>\n",
       "      <td>64622</td>\n",
       "      <td>1429</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6069</th>\n",
       "      <td>5296470</td>\n",
       "      <td>648518346342929975</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>1094</td>\n",
       "      <td>398404</td>\n",
       "      <td>251844</td>\n",
       "      <td>54560</td>\n",
       "      <td>99740</td>\n",
       "      <td>62964</td>\n",
       "      <td>1365</td>\n",
       "      <td>99601</td>\n",
       "      <td>62961</td>\n",
       "      <td>1364</td>\n",
       "      <td>99724</td>\n",
       "      <td>62884</td>\n",
       "      <td>1365</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15067</th>\n",
       "      <td>5755598</td>\n",
       "      <td>648518346341403507</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>2036</td>\n",
       "      <td>410048</td>\n",
       "      <td>287120</td>\n",
       "      <td>55160</td>\n",
       "      <td>102494</td>\n",
       "      <td>71860</td>\n",
       "      <td>1381</td>\n",
       "      <td>102512</td>\n",
       "      <td>71780</td>\n",
       "      <td>1379</td>\n",
       "      <td>102454</td>\n",
       "      <td>71766</td>\n",
       "      <td>1381</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15987</th>\n",
       "      <td>5022075</td>\n",
       "      <td>648518346342919917</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>63</td>\n",
       "      <td>390232</td>\n",
       "      <td>190568</td>\n",
       "      <td>40000</td>\n",
       "      <td>97524</td>\n",
       "      <td>47648</td>\n",
       "      <td>1000</td>\n",
       "      <td>97558</td>\n",
       "      <td>47642</td>\n",
       "      <td>1000</td>\n",
       "      <td>97598</td>\n",
       "      <td>47614</td>\n",
       "      <td>999</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2799519</th>\n",
       "      <td>5574347</td>\n",
       "      <td>648518346342764327</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>189</td>\n",
       "      <td>402756</td>\n",
       "      <td>306636</td>\n",
       "      <td>63560</td>\n",
       "      <td>100658</td>\n",
       "      <td>76684</td>\n",
       "      <td>1590</td>\n",
       "      <td>100689</td>\n",
       "      <td>76659</td>\n",
       "      <td>1589</td>\n",
       "      <td>100682</td>\n",
       "      <td>76640</td>\n",
       "      <td>1591</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2800316</th>\n",
       "      <td>5021770</td>\n",
       "      <td>648518346346297110</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>60</td>\n",
       "      <td>389512</td>\n",
       "      <td>188984</td>\n",
       "      <td>37640</td>\n",
       "      <td>97342</td>\n",
       "      <td>47236</td>\n",
       "      <td>940</td>\n",
       "      <td>97378</td>\n",
       "      <td>47246</td>\n",
       "      <td>941</td>\n",
       "      <td>97416</td>\n",
       "      <td>47266</td>\n",
       "      <td>942</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2811520</th>\n",
       "      <td>5285095</td>\n",
       "      <td>648518346342801818</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>61</td>\n",
       "      <td>396488</td>\n",
       "      <td>243456</td>\n",
       "      <td>50760</td>\n",
       "      <td>99118</td>\n",
       "      <td>60894</td>\n",
       "      <td>1269</td>\n",
       "      <td>99122</td>\n",
       "      <td>60864</td>\n",
       "      <td>1269</td>\n",
       "      <td>99148</td>\n",
       "      <td>60832</td>\n",
       "      <td>1270</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2826793</th>\n",
       "      <td>5929529</td>\n",
       "      <td>648518346349524139</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>294</td>\n",
       "      <td>417776</td>\n",
       "      <td>271280</td>\n",
       "      <td>39880</td>\n",
       "      <td>104428</td>\n",
       "      <td>67850</td>\n",
       "      <td>998</td>\n",
       "      <td>104444</td>\n",
       "      <td>67820</td>\n",
       "      <td>997</td>\n",
       "      <td>104418</td>\n",
       "      <td>67784</td>\n",
       "      <td>998</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2829929</th>\n",
       "      <td>5261785</td>\n",
       "      <td>648518346349522090</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>298</td>\n",
       "      <td>392392</td>\n",
       "      <td>223988</td>\n",
       "      <td>48240</td>\n",
       "      <td>98066</td>\n",
       "      <td>56016</td>\n",
       "      <td>1207</td>\n",
       "      <td>98098</td>\n",
       "      <td>55997</td>\n",
       "      <td>1206</td>\n",
       "      <td>98068</td>\n",
       "      <td>55936</td>\n",
       "      <td>1207</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>680 rows × 16 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "              id         pre_root_id        post_root_id  cleft_vx  \\\n",
       "1246     5541018  648518346342921920  648518346342793912        62   \n",
       "5985     5306722  648518346341403453  648518346342793912        67   \n",
       "6069     5296470  648518346342929975  648518346342793912      1094   \n",
       "15067    5755598  648518346341403507  648518346342793912      2036   \n",
       "15987    5022075  648518346342919917  648518346342793912        63   \n",
       "...          ...                 ...                 ...       ...   \n",
       "2799519  5574347  648518346342764327  648518346342793912       189   \n",
       "2800316  5021770  648518346346297110  648518346342793912        60   \n",
       "2811520  5285095  648518346342801818  648518346342793912        61   \n",
       "2826793  5929529  648518346349524139  648518346342793912       294   \n",
       "2829929  5261785  648518346349522090  648518346342793912       298   \n",
       "\n",
       "         ctr_pt_x_nm  ctr_pt_y_nm  ctr_pt_z_nm  pre_pos_x_vx  pre_pos_y_vx  \\\n",
       "1246          401344       279048        58560        100332         69714   \n",
       "5985          396144       258616        57080         99056         64670   \n",
       "6069          398404       251844        54560         99740         62964   \n",
       "15067         410048       287120        55160        102494         71860   \n",
       "15987         390232       190568        40000         97524         47648   \n",
       "...              ...          ...          ...           ...           ...   \n",
       "2799519       402756       306636        63560        100658         76684   \n",
       "2800316       389512       188984        37640         97342         47236   \n",
       "2811520       396488       243456        50760         99118         60894   \n",
       "2826793       417776       271280        39880        104428         67850   \n",
       "2829929       392392       223988        48240         98066         56016   \n",
       "\n",
       "         pre_pos_z_vx  ctr_pos_x_vx  ctr_pos_y_vx  ctr_pos_z_vx  \\\n",
       "1246             1465        100336         69762          1464   \n",
       "5985             1429         99036         64654          1427   \n",
       "6069             1365         99601         62961          1364   \n",
       "15067            1381        102512         71780          1379   \n",
       "15987            1000         97558         47642          1000   \n",
       "...               ...           ...           ...           ...   \n",
       "2799519          1590        100689         76659          1589   \n",
       "2800316           940         97378         47246           941   \n",
       "2811520          1269         99122         60864          1269   \n",
       "2826793           998        104444         67820           997   \n",
       "2829929          1207         98098         55997          1206   \n",
       "\n",
       "         post_pos_x_vx  post_pos_y_vx  post_pos_z_vx  \n",
       "1246            100316          69794           1465  \n",
       "5985             99004          64622           1429  \n",
       "6069             99724          62884           1365  \n",
       "15067           102454          71766           1381  \n",
       "15987            97598          47614            999  \n",
       "...                ...            ...            ...  \n",
       "2799519         100682          76640           1591  \n",
       "2800316          97416          47266            942  \n",
       "2811520          99148          60832           1270  \n",
       "2826793         104418          67784            998  \n",
       "2829929          98068          55936           1207  \n",
       "\n",
       "[680 rows x 16 columns]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Make a list of the pre_root_ids that form a synapse on this cell\n",
    "cell_post_subgraph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Uncomment if you want to generate a list for copy and pasting\n",
    "# cell_post_subgraph[\"pre_root_id\"].to_list()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
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       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>pre_root_id</th>\n",
       "      <th>post_root_id</th>\n",
       "      <th>cleft_vx</th>\n",
       "      <th>ctr_pt_x_nm</th>\n",
       "      <th>ctr_pt_y_nm</th>\n",
       "      <th>ctr_pt_z_nm</th>\n",
       "      <th>pre_pos_x_vx</th>\n",
       "      <th>pre_pos_y_vx</th>\n",
       "      <th>pre_pos_z_vx</th>\n",
       "      <th>ctr_pos_x_vx</th>\n",
       "      <th>ctr_pos_y_vx</th>\n",
       "      <th>ctr_pos_z_vx</th>\n",
       "      <th>post_pos_x_vx</th>\n",
       "      <th>post_pos_y_vx</th>\n",
       "      <th>post_pos_z_vx</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>66271</th>\n",
       "      <td>6271825</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349386035</td>\n",
       "      <td>609</td>\n",
       "      <td>436180</td>\n",
       "      <td>206868</td>\n",
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       "      <td>109036</td>\n",
       "      <td>51726</td>\n",
       "      <td>1428</td>\n",
       "      <td>109045</td>\n",
       "      <td>51717</td>\n",
       "      <td>1431</td>\n",
       "      <td>108970</td>\n",
       "      <td>51710</td>\n",
       "      <td>1429</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80729</th>\n",
       "      <td>5683488</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349093634</td>\n",
       "      <td>75</td>\n",
       "      <td>408912</td>\n",
       "      <td>244048</td>\n",
       "      <td>4960</td>\n",
       "      <td>102258</td>\n",
       "      <td>60978</td>\n",
       "      <td>121</td>\n",
       "      <td>102228</td>\n",
       "      <td>61012</td>\n",
       "      <td>124</td>\n",
       "      <td>102160</td>\n",
       "      <td>61054</td>\n",
       "      <td>121</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>131534</th>\n",
       "      <td>5659387</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349538053</td>\n",
       "      <td>761</td>\n",
       "      <td>412784</td>\n",
       "      <td>216272</td>\n",
       "      <td>51400</td>\n",
       "      <td>103214</td>\n",
       "      <td>54096</td>\n",
       "      <td>1282</td>\n",
       "      <td>103196</td>\n",
       "      <td>54068</td>\n",
       "      <td>1285</td>\n",
       "      <td>103120</td>\n",
       "      <td>54078</td>\n",
       "      <td>1282</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>141747</th>\n",
       "      <td>5464047</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349503588</td>\n",
       "      <td>77</td>\n",
       "      <td>400384</td>\n",
       "      <td>220600</td>\n",
       "      <td>45640</td>\n",
       "      <td>100074</td>\n",
       "      <td>55160</td>\n",
       "      <td>1142</td>\n",
       "      <td>100096</td>\n",
       "      <td>55150</td>\n",
       "      <td>1141</td>\n",
       "      <td>100104</td>\n",
       "      <td>55184</td>\n",
       "      <td>1140</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>155845</th>\n",
       "      <td>6863961</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346348193777</td>\n",
       "      <td>710</td>\n",
       "      <td>463784</td>\n",
       "      <td>187616</td>\n",
       "      <td>76760</td>\n",
       "      <td>115900</td>\n",
       "      <td>46906</td>\n",
       "      <td>1926</td>\n",
       "      <td>115946</td>\n",
       "      <td>46904</td>\n",
       "      <td>1919</td>\n",
       "      <td>115860</td>\n",
       "      <td>46828</td>\n",
       "      <td>1926</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199784</th>\n",
       "      <td>6063116</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346348302759</td>\n",
       "      <td>194</td>\n",
       "      <td>430988</td>\n",
       "      <td>209196</td>\n",
       "      <td>55640</td>\n",
       "      <td>107674</td>\n",
       "      <td>52310</td>\n",
       "      <td>1393</td>\n",
       "      <td>107747</td>\n",
       "      <td>52299</td>\n",
       "      <td>1391</td>\n",
       "      <td>107762</td>\n",
       "      <td>52272</td>\n",
       "      <td>1393</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>301239</th>\n",
       "      <td>5684015</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349093688</td>\n",
       "      <td>95</td>\n",
       "      <td>409760</td>\n",
       "      <td>244768</td>\n",
       "      <td>5640</td>\n",
       "      <td>102450</td>\n",
       "      <td>61172</td>\n",
       "      <td>139</td>\n",
       "      <td>102440</td>\n",
       "      <td>61192</td>\n",
       "      <td>141</td>\n",
       "      <td>102430</td>\n",
       "      <td>61218</td>\n",
       "      <td>141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>316128</th>\n",
       "      <td>6479653</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346342795643</td>\n",
       "      <td>244</td>\n",
       "      <td>442112</td>\n",
       "      <td>204376</td>\n",
       "      <td>62600</td>\n",
       "      <td>110532</td>\n",
       "      <td>51090</td>\n",
       "      <td>1563</td>\n",
       "      <td>110528</td>\n",
       "      <td>51094</td>\n",
       "      <td>1565</td>\n",
       "      <td>110456</td>\n",
       "      <td>51156</td>\n",
       "      <td>1563</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>373421</th>\n",
       "      <td>6271692</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346348212377</td>\n",
       "      <td>106</td>\n",
       "      <td>435800</td>\n",
       "      <td>206728</td>\n",
       "      <td>56400</td>\n",
       "      <td>108944</td>\n",
       "      <td>51738</td>\n",
       "      <td>1411</td>\n",
       "      <td>108950</td>\n",
       "      <td>51682</td>\n",
       "      <td>1410</td>\n",
       "      <td>108940</td>\n",
       "      <td>51656</td>\n",
       "      <td>1411</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>408370</th>\n",
       "      <td>6479199</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346348300656</td>\n",
       "      <td>107</td>\n",
       "      <td>441360</td>\n",
       "      <td>205776</td>\n",
       "      <td>60400</td>\n",
       "      <td>110362</td>\n",
       "      <td>51500</td>\n",
       "      <td>1509</td>\n",
       "      <td>110340</td>\n",
       "      <td>51444</td>\n",
       "      <td>1510</td>\n",
       "      <td>110326</td>\n",
       "      <td>51416</td>\n",
       "      <td>1509</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>663335</th>\n",
       "      <td>5269818</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346342804152</td>\n",
       "      <td>142</td>\n",
       "      <td>396776</td>\n",
       "      <td>231224</td>\n",
       "      <td>29480</td>\n",
       "      <td>99206</td>\n",
       "      <td>57768</td>\n",
       "      <td>734</td>\n",
       "      <td>99194</td>\n",
       "      <td>57806</td>\n",
       "      <td>737</td>\n",
       "      <td>99152</td>\n",
       "      <td>57868</td>\n",
       "      <td>734</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>678969</th>\n",
       "      <td>6665566</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349376610</td>\n",
       "      <td>145</td>\n",
       "      <td>453976</td>\n",
       "      <td>190112</td>\n",
       "      <td>73360</td>\n",
       "      <td>113442</td>\n",
       "      <td>47546</td>\n",
       "      <td>1834</td>\n",
       "      <td>113494</td>\n",
       "      <td>47528</td>\n",
       "      <td>1834</td>\n",
       "      <td>113526</td>\n",
       "      <td>47502</td>\n",
       "      <td>1834</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>719248</th>\n",
       "      <td>5454478</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346348401280</td>\n",
       "      <td>151</td>\n",
       "      <td>400160</td>\n",
       "      <td>220608</td>\n",
       "      <td>46400</td>\n",
       "      <td>100066</td>\n",
       "      <td>55156</td>\n",
       "      <td>1159</td>\n",
       "      <td>100040</td>\n",
       "      <td>55152</td>\n",
       "      <td>1160</td>\n",
       "      <td>100014</td>\n",
       "      <td>55174</td>\n",
       "      <td>1160</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>730569</th>\n",
       "      <td>5484004</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346341407195</td>\n",
       "      <td>152</td>\n",
       "      <td>403784</td>\n",
       "      <td>241056</td>\n",
       "      <td>12480</td>\n",
       "      <td>100982</td>\n",
       "      <td>60222</td>\n",
       "      <td>312</td>\n",
       "      <td>100946</td>\n",
       "      <td>60264</td>\n",
       "      <td>312</td>\n",
       "      <td>100904</td>\n",
       "      <td>60294</td>\n",
       "      <td>312</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1050263</th>\n",
       "      <td>5660104</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349539599</td>\n",
       "      <td>56</td>\n",
       "      <td>413952</td>\n",
       "      <td>214724</td>\n",
       "      <td>52520</td>\n",
       "      <td>103462</td>\n",
       "      <td>53670</td>\n",
       "      <td>1316</td>\n",
       "      <td>103488</td>\n",
       "      <td>53681</td>\n",
       "      <td>1313</td>\n",
       "      <td>103506</td>\n",
       "      <td>53676</td>\n",
       "      <td>1313</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1171088</th>\n",
       "      <td>6868772</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349376610</td>\n",
       "      <td>227</td>\n",
       "      <td>456456</td>\n",
       "      <td>189216</td>\n",
       "      <td>75400</td>\n",
       "      <td>114086</td>\n",
       "      <td>47342</td>\n",
       "      <td>1886</td>\n",
       "      <td>114114</td>\n",
       "      <td>47304</td>\n",
       "      <td>1885</td>\n",
       "      <td>114126</td>\n",
       "      <td>47258</td>\n",
       "      <td>1887</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1447314</th>\n",
       "      <td>5269766</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346342921023</td>\n",
       "      <td>300</td>\n",
       "      <td>396752</td>\n",
       "      <td>230800</td>\n",
       "      <td>29240</td>\n",
       "      <td>99184</td>\n",
       "      <td>57754</td>\n",
       "      <td>729</td>\n",
       "      <td>99188</td>\n",
       "      <td>57700</td>\n",
       "      <td>731</td>\n",
       "      <td>99144</td>\n",
       "      <td>57674</td>\n",
       "      <td>729</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1467900</th>\n",
       "      <td>5258354</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349535847</td>\n",
       "      <td>308</td>\n",
       "      <td>395064</td>\n",
       "      <td>228640</td>\n",
       "      <td>33280</td>\n",
       "      <td>98812</td>\n",
       "      <td>57194</td>\n",
       "      <td>835</td>\n",
       "      <td>98766</td>\n",
       "      <td>57160</td>\n",
       "      <td>832</td>\n",
       "      <td>98730</td>\n",
       "      <td>57202</td>\n",
       "      <td>835</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1595698</th>\n",
       "      <td>5257819</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346341407207</td>\n",
       "      <td>354</td>\n",
       "      <td>394016</td>\n",
       "      <td>226712</td>\n",
       "      <td>34680</td>\n",
       "      <td>98458</td>\n",
       "      <td>56634</td>\n",
       "      <td>871</td>\n",
       "      <td>98504</td>\n",
       "      <td>56678</td>\n",
       "      <td>867</td>\n",
       "      <td>98510</td>\n",
       "      <td>56724</td>\n",
       "      <td>871</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1692696</th>\n",
       "      <td>6062861</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349539856</td>\n",
       "      <td>125</td>\n",
       "      <td>430472</td>\n",
       "      <td>209352</td>\n",
       "      <td>55440</td>\n",
       "      <td>107652</td>\n",
       "      <td>52302</td>\n",
       "      <td>1386</td>\n",
       "      <td>107618</td>\n",
       "      <td>52338</td>\n",
       "      <td>1386</td>\n",
       "      <td>107586</td>\n",
       "      <td>52372</td>\n",
       "      <td>1386</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1906526</th>\n",
       "      <td>6470950</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346348107345</td>\n",
       "      <td>1360</td>\n",
       "      <td>443840</td>\n",
       "      <td>204184</td>\n",
       "      <td>62280</td>\n",
       "      <td>110868</td>\n",
       "      <td>51078</td>\n",
       "      <td>1544</td>\n",
       "      <td>110960</td>\n",
       "      <td>51046</td>\n",
       "      <td>1557</td>\n",
       "      <td>110974</td>\n",
       "      <td>51054</td>\n",
       "      <td>1544</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023036</th>\n",
       "      <td>5657711</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349538478</td>\n",
       "      <td>343</td>\n",
       "      <td>409592</td>\n",
       "      <td>218656</td>\n",
       "      <td>47880</td>\n",
       "      <td>102398</td>\n",
       "      <td>54708</td>\n",
       "      <td>1197</td>\n",
       "      <td>102398</td>\n",
       "      <td>54664</td>\n",
       "      <td>1197</td>\n",
       "      <td>102378</td>\n",
       "      <td>54630</td>\n",
       "      <td>1197</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2152136</th>\n",
       "      <td>5257012</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349537013</td>\n",
       "      <td>1199</td>\n",
       "      <td>392432</td>\n",
       "      <td>225496</td>\n",
       "      <td>37120</td>\n",
       "      <td>98014</td>\n",
       "      <td>56346</td>\n",
       "      <td>926</td>\n",
       "      <td>98108</td>\n",
       "      <td>56374</td>\n",
       "      <td>928</td>\n",
       "      <td>98058</td>\n",
       "      <td>56406</td>\n",
       "      <td>926</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2169197</th>\n",
       "      <td>7049322</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346348200320</td>\n",
       "      <td>1308</td>\n",
       "      <td>468576</td>\n",
       "      <td>185920</td>\n",
       "      <td>76000</td>\n",
       "      <td>117052</td>\n",
       "      <td>46450</td>\n",
       "      <td>1898</td>\n",
       "      <td>117144</td>\n",
       "      <td>46480</td>\n",
       "      <td>1900</td>\n",
       "      <td>117096</td>\n",
       "      <td>46530</td>\n",
       "      <td>1898</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2195789</th>\n",
       "      <td>5860653</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349539653</td>\n",
       "      <td>1396</td>\n",
       "      <td>420040</td>\n",
       "      <td>212712</td>\n",
       "      <td>54400</td>\n",
       "      <td>104922</td>\n",
       "      <td>53184</td>\n",
       "      <td>1353</td>\n",
       "      <td>105010</td>\n",
       "      <td>53178</td>\n",
       "      <td>1360</td>\n",
       "      <td>104990</td>\n",
       "      <td>53222</td>\n",
       "      <td>1353</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2290006</th>\n",
       "      <td>6269561</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349385007</td>\n",
       "      <td>53</td>\n",
       "      <td>432008</td>\n",
       "      <td>208476</td>\n",
       "      <td>55400</td>\n",
       "      <td>107932</td>\n",
       "      <td>52146</td>\n",
       "      <td>1385</td>\n",
       "      <td>108002</td>\n",
       "      <td>52119</td>\n",
       "      <td>1385</td>\n",
       "      <td>108010</td>\n",
       "      <td>52118</td>\n",
       "      <td>1386</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2430887</th>\n",
       "      <td>6061062</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349539579</td>\n",
       "      <td>68</td>\n",
       "      <td>426700</td>\n",
       "      <td>209120</td>\n",
       "      <td>55000</td>\n",
       "      <td>106682</td>\n",
       "      <td>52224</td>\n",
       "      <td>1375</td>\n",
       "      <td>106675</td>\n",
       "      <td>52280</td>\n",
       "      <td>1375</td>\n",
       "      <td>106678</td>\n",
       "      <td>52298</td>\n",
       "      <td>1376</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2536693</th>\n",
       "      <td>6664477</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349534072</td>\n",
       "      <td>368</td>\n",
       "      <td>452052</td>\n",
       "      <td>193024</td>\n",
       "      <td>72600</td>\n",
       "      <td>112954</td>\n",
       "      <td>48228</td>\n",
       "      <td>1816</td>\n",
       "      <td>113013</td>\n",
       "      <td>48256</td>\n",
       "      <td>1815</td>\n",
       "      <td>112974</td>\n",
       "      <td>48272</td>\n",
       "      <td>1818</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2733919</th>\n",
       "      <td>5469656</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349369332</td>\n",
       "      <td>52</td>\n",
       "      <td>400224</td>\n",
       "      <td>233136</td>\n",
       "      <td>26920</td>\n",
       "      <td>100044</td>\n",
       "      <td>58250</td>\n",
       "      <td>673</td>\n",
       "      <td>100056</td>\n",
       "      <td>58284</td>\n",
       "      <td>673</td>\n",
       "      <td>100030</td>\n",
       "      <td>58276</td>\n",
       "      <td>674</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2805211</th>\n",
       "      <td>5270967</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349537808</td>\n",
       "      <td>285</td>\n",
       "      <td>398780</td>\n",
       "      <td>232208</td>\n",
       "      <td>27960</td>\n",
       "      <td>99744</td>\n",
       "      <td>58034</td>\n",
       "      <td>702</td>\n",
       "      <td>99695</td>\n",
       "      <td>58052</td>\n",
       "      <td>699</td>\n",
       "      <td>99730</td>\n",
       "      <td>58080</td>\n",
       "      <td>703</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2836544</th>\n",
       "      <td>5456222</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349537718</td>\n",
       "      <td>311</td>\n",
       "      <td>403296</td>\n",
       "      <td>219768</td>\n",
       "      <td>46240</td>\n",
       "      <td>100810</td>\n",
       "      <td>54908</td>\n",
       "      <td>1155</td>\n",
       "      <td>100824</td>\n",
       "      <td>54942</td>\n",
       "      <td>1156</td>\n",
       "      <td>100798</td>\n",
       "      <td>54968</td>\n",
       "      <td>1155</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2885123</th>\n",
       "      <td>5255811</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349539864</td>\n",
       "      <td>137</td>\n",
       "      <td>398272</td>\n",
       "      <td>220320</td>\n",
       "      <td>46000</td>\n",
       "      <td>99550</td>\n",
       "      <td>55086</td>\n",
       "      <td>1148</td>\n",
       "      <td>99568</td>\n",
       "      <td>55080</td>\n",
       "      <td>1150</td>\n",
       "      <td>99534</td>\n",
       "      <td>55034</td>\n",
       "      <td>1148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3037734</th>\n",
       "      <td>5485309</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349525852</td>\n",
       "      <td>239</td>\n",
       "      <td>405564</td>\n",
       "      <td>240628</td>\n",
       "      <td>9760</td>\n",
       "      <td>101412</td>\n",
       "      <td>60184</td>\n",
       "      <td>243</td>\n",
       "      <td>101391</td>\n",
       "      <td>60157</td>\n",
       "      <td>244</td>\n",
       "      <td>101346</td>\n",
       "      <td>60132</td>\n",
       "      <td>244</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3042858</th>\n",
       "      <td>6662902</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349525861</td>\n",
       "      <td>1641</td>\n",
       "      <td>449400</td>\n",
       "      <td>195616</td>\n",
       "      <td>69600</td>\n",
       "      <td>112232</td>\n",
       "      <td>48934</td>\n",
       "      <td>1738</td>\n",
       "      <td>112350</td>\n",
       "      <td>48904</td>\n",
       "      <td>1740</td>\n",
       "      <td>112260</td>\n",
       "      <td>48846</td>\n",
       "      <td>1738</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3085045</th>\n",
       "      <td>5482557</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349539844</td>\n",
       "      <td>146</td>\n",
       "      <td>401856</td>\n",
       "      <td>238144</td>\n",
       "      <td>18840</td>\n",
       "      <td>100470</td>\n",
       "      <td>59496</td>\n",
       "      <td>473</td>\n",
       "      <td>100464</td>\n",
       "      <td>59536</td>\n",
       "      <td>471</td>\n",
       "      <td>100458</td>\n",
       "      <td>59564</td>\n",
       "      <td>472</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3165695</th>\n",
       "      <td>5469829</td>\n",
       "      <td>648518346342793912</td>\n",
       "      <td>648518346349534057</td>\n",
       "      <td>111</td>\n",
       "      <td>400480</td>\n",
       "      <td>235136</td>\n",
       "      <td>23640</td>\n",
       "      <td>100148</td>\n",
       "      <td>58744</td>\n",
       "      <td>591</td>\n",
       "      <td>100120</td>\n",
       "      <td>58784</td>\n",
       "      <td>591</td>\n",
       "      <td>100106</td>\n",
       "      <td>58818</td>\n",
       "      <td>591</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              id         pre_root_id        post_root_id  cleft_vx  \\\n",
       "66271    6271825  648518346342793912  648518346349386035       609   \n",
       "80729    5683488  648518346342793912  648518346349093634        75   \n",
       "131534   5659387  648518346342793912  648518346349538053       761   \n",
       "141747   5464047  648518346342793912  648518346349503588        77   \n",
       "155845   6863961  648518346342793912  648518346348193777       710   \n",
       "199784   6063116  648518346342793912  648518346348302759       194   \n",
       "301239   5684015  648518346342793912  648518346349093688        95   \n",
       "316128   6479653  648518346342793912  648518346342795643       244   \n",
       "373421   6271692  648518346342793912  648518346348212377       106   \n",
       "408370   6479199  648518346342793912  648518346348300656       107   \n",
       "663335   5269818  648518346342793912  648518346342804152       142   \n",
       "678969   6665566  648518346342793912  648518346349376610       145   \n",
       "719248   5454478  648518346342793912  648518346348401280       151   \n",
       "730569   5484004  648518346342793912  648518346341407195       152   \n",
       "1050263  5660104  648518346342793912  648518346349539599        56   \n",
       "1171088  6868772  648518346342793912  648518346349376610       227   \n",
       "1447314  5269766  648518346342793912  648518346342921023       300   \n",
       "1467900  5258354  648518346342793912  648518346349535847       308   \n",
       "1595698  5257819  648518346342793912  648518346341407207       354   \n",
       "1692696  6062861  648518346342793912  648518346349539856       125   \n",
       "1906526  6470950  648518346342793912  648518346348107345      1360   \n",
       "2023036  5657711  648518346342793912  648518346349538478       343   \n",
       "2152136  5257012  648518346342793912  648518346349537013      1199   \n",
       "2169197  7049322  648518346342793912  648518346348200320      1308   \n",
       "2195789  5860653  648518346342793912  648518346349539653      1396   \n",
       "2290006  6269561  648518346342793912  648518346349385007        53   \n",
       "2430887  6061062  648518346342793912  648518346349539579        68   \n",
       "2536693  6664477  648518346342793912  648518346349534072       368   \n",
       "2733919  5469656  648518346342793912  648518346349369332        52   \n",
       "2805211  5270967  648518346342793912  648518346349537808       285   \n",
       "2836544  5456222  648518346342793912  648518346349537718       311   \n",
       "2885123  5255811  648518346342793912  648518346349539864       137   \n",
       "3037734  5485309  648518346342793912  648518346349525852       239   \n",
       "3042858  6662902  648518346342793912  648518346349525861      1641   \n",
       "3085045  5482557  648518346342793912  648518346349539844       146   \n",
       "3165695  5469829  648518346342793912  648518346349534057       111   \n",
       "\n",
       "         ctr_pt_x_nm  ctr_pt_y_nm  ctr_pt_z_nm  pre_pos_x_vx  pre_pos_y_vx  \\\n",
       "66271         436180       206868        57240        109036         51726   \n",
       "80729         408912       244048         4960        102258         60978   \n",
       "131534        412784       216272        51400        103214         54096   \n",
       "141747        400384       220600        45640        100074         55160   \n",
       "155845        463784       187616        76760        115900         46906   \n",
       "199784        430988       209196        55640        107674         52310   \n",
       "301239        409760       244768         5640        102450         61172   \n",
       "316128        442112       204376        62600        110532         51090   \n",
       "373421        435800       206728        56400        108944         51738   \n",
       "408370        441360       205776        60400        110362         51500   \n",
       "663335        396776       231224        29480         99206         57768   \n",
       "678969        453976       190112        73360        113442         47546   \n",
       "719248        400160       220608        46400        100066         55156   \n",
       "730569        403784       241056        12480        100982         60222   \n",
       "1050263       413952       214724        52520        103462         53670   \n",
       "1171088       456456       189216        75400        114086         47342   \n",
       "1447314       396752       230800        29240         99184         57754   \n",
       "1467900       395064       228640        33280         98812         57194   \n",
       "1595698       394016       226712        34680         98458         56634   \n",
       "1692696       430472       209352        55440        107652         52302   \n",
       "1906526       443840       204184        62280        110868         51078   \n",
       "2023036       409592       218656        47880        102398         54708   \n",
       "2152136       392432       225496        37120         98014         56346   \n",
       "2169197       468576       185920        76000        117052         46450   \n",
       "2195789       420040       212712        54400        104922         53184   \n",
       "2290006       432008       208476        55400        107932         52146   \n",
       "2430887       426700       209120        55000        106682         52224   \n",
       "2536693       452052       193024        72600        112954         48228   \n",
       "2733919       400224       233136        26920        100044         58250   \n",
       "2805211       398780       232208        27960         99744         58034   \n",
       "2836544       403296       219768        46240        100810         54908   \n",
       "2885123       398272       220320        46000         99550         55086   \n",
       "3037734       405564       240628         9760        101412         60184   \n",
       "3042858       449400       195616        69600        112232         48934   \n",
       "3085045       401856       238144        18840        100470         59496   \n",
       "3165695       400480       235136        23640        100148         58744   \n",
       "\n",
       "         pre_pos_z_vx  ctr_pos_x_vx  ctr_pos_y_vx  ctr_pos_z_vx  \\\n",
       "66271            1428        109045         51717          1431   \n",
       "80729             121        102228         61012           124   \n",
       "131534           1282        103196         54068          1285   \n",
       "141747           1142        100096         55150          1141   \n",
       "155845           1926        115946         46904          1919   \n",
       "199784           1393        107747         52299          1391   \n",
       "301239            139        102440         61192           141   \n",
       "316128           1563        110528         51094          1565   \n",
       "373421           1411        108950         51682          1410   \n",
       "408370           1509        110340         51444          1510   \n",
       "663335            734         99194         57806           737   \n",
       "678969           1834        113494         47528          1834   \n",
       "719248           1159        100040         55152          1160   \n",
       "730569            312        100946         60264           312   \n",
       "1050263          1316        103488         53681          1313   \n",
       "1171088          1886        114114         47304          1885   \n",
       "1447314           729         99188         57700           731   \n",
       "1467900           835         98766         57160           832   \n",
       "1595698           871         98504         56678           867   \n",
       "1692696          1386        107618         52338          1386   \n",
       "1906526          1544        110960         51046          1557   \n",
       "2023036          1197        102398         54664          1197   \n",
       "2152136           926         98108         56374           928   \n",
       "2169197          1898        117144         46480          1900   \n",
       "2195789          1353        105010         53178          1360   \n",
       "2290006          1385        108002         52119          1385   \n",
       "2430887          1375        106675         52280          1375   \n",
       "2536693          1816        113013         48256          1815   \n",
       "2733919           673        100056         58284           673   \n",
       "2805211           702         99695         58052           699   \n",
       "2836544          1155        100824         54942          1156   \n",
       "2885123          1148         99568         55080          1150   \n",
       "3037734           243        101391         60157           244   \n",
       "3042858          1738        112350         48904          1740   \n",
       "3085045           473        100464         59536           471   \n",
       "3165695           591        100120         58784           591   \n",
       "\n",
       "         post_pos_x_vx  post_pos_y_vx  post_pos_z_vx  \n",
       "66271           108970          51710           1429  \n",
       "80729           102160          61054            121  \n",
       "131534          103120          54078           1282  \n",
       "141747          100104          55184           1140  \n",
       "155845          115860          46828           1926  \n",
       "199784          107762          52272           1393  \n",
       "301239          102430          61218            141  \n",
       "316128          110456          51156           1563  \n",
       "373421          108940          51656           1411  \n",
       "408370          110326          51416           1509  \n",
       "663335           99152          57868            734  \n",
       "678969          113526          47502           1834  \n",
       "719248          100014          55174           1160  \n",
       "730569          100904          60294            312  \n",
       "1050263         103506          53676           1313  \n",
       "1171088         114126          47258           1887  \n",
       "1447314          99144          57674            729  \n",
       "1467900          98730          57202            835  \n",
       "1595698          98510          56724            871  \n",
       "1692696         107586          52372           1386  \n",
       "1906526         110974          51054           1544  \n",
       "2023036         102378          54630           1197  \n",
       "2152136          98058          56406            926  \n",
       "2169197         117096          46530           1898  \n",
       "2195789         104990          53222           1353  \n",
       "2290006         108010          52118           1386  \n",
       "2430887         106678          52298           1376  \n",
       "2536693         112974          48272           1818  \n",
       "2733919         100030          58276            674  \n",
       "2805211          99730          58080            703  \n",
       "2836544         100798          54968           1155  \n",
       "2885123          99534          55034           1148  \n",
       "3037734         101346          60132            244  \n",
       "3042858         112260          48846           1738  \n",
       "3085045         100458          59564            472  \n",
       "3165695         100106          58818            591  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Make a list of the post_root_ids that receive a synapse from this cell\n",
    "cell_pre_subgraph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Uncomment if you will to generate a list for copy and pasting\n",
    "# cell_pre_subgraph[\"post_root_id\"].to_list()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 3D visualizer using OpenGL and vtk tool\n",
    "# You must have OpenGL installed on your computer\n",
    "\n",
    "import vtk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "setting up renderer\n",
      "done setting up\n",
      "actors added\n",
      "camera set\n",
      "render done\n",
      "finalizing..\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<vtkmodules.vtkRenderingOpenGL2.vtkOpenGLRenderer(0x0000024451BE69F0) at 0x00000244025F5468>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Use this visualization if you do NOT want to see the synaptic sites (cell mesh only)\n",
    "\n",
    "#create vtk actors for each mesh and one for their shared synapses\n",
    "mesh_actor = trimesh_vtk.mesh_actor(mesh, opacity=.3, color=(0.2, 0.4, 0.7)) #adjust color if desired\n",
    "\n",
    "#creating a camera object and defining the view\n",
    "camera = trimesh_vtk.oriented_camera(mesh.centroid, backoff=400)\n",
    "\n",
    "#render the actors, will open a pop up python window\n",
    "trimesh_vtk.render_actors([mesh_actor], camera=camera)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "setting up renderer\n",
      "done setting up\n",
      "actors added\n",
      "camera set\n",
      "render done\n",
      "finalizing..\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<vtkmodules.vtkRenderingOpenGL2.vtkOpenGLRenderer(0x0000024451BE7690) at 0x00000244025C4F48>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Use this visualization if you want to see the synaptic sites\n",
    "\n",
    "#create vtk actors for each mesh and one for their shared synapses\n",
    "mesh_actor = trimesh_vtk.mesh_actor(mesh, opacity=.3, color=(0.2, 0.4, 0.7)) #adjust color if desired\n",
    "presyn_actor = trimesh_vtk.point_cloud_actor(presyn_xyz, size=500, color=(0.2, 0.9, 0.2)) #adjust size and color if desired \n",
    "postsyn_actor = trimesh_vtk.point_cloud_actor(postsyn_xyz, size=250, color=(0.9, 0.2, 0.2)) #adjust size and color if desired\n",
    "\n",
    "\n",
    "#creating a camera object and defining the view\n",
    "camera = trimesh_vtk.oriented_camera(mesh.centroid, backoff=400)\n",
    "\n",
    "#render the actors, will open a pop up python window\n",
    "trimesh_vtk.render_actors([mesh_actor,presyn_actor, postsyn_actor], camera=camera)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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