{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "single-sport",
   "metadata": {},
   "source": [
    "# Residue Network Construction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "rapid-constraint",
   "metadata": {},
   "outputs": [],
   "source": [
    "from prody import *\n",
    "import numpy as np\n",
    "import networkx as nx\n",
    "from networkx.algorithms import community\n",
    "import itertools\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "from scipy import stats"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "harmful-garlic",
   "metadata": {},
   "source": [
    "### Parse pdb file and select C<sub>$\\beta$</sub> (C<sub>$\\alpha$</sub> for Gly)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "improved-diary",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "@> 1902 atoms and 1 coordinate set(s) were parsed in 0.03s.\n"
     ]
    }
   ],
   "source": [
    "pdb_name = \"5heb_eq.pdb\"\n",
    "structure_beta = parsePDB(pdb_name).select(\"(name CB and protein) or (name CA and resname GLY)\")\n",
    "file_name_wh_ex = \"5heb_eq\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "parliamentary-cleaning",
   "metadata": {},
   "source": [
    "### Construct network by using a cut-off, please locate the cut-off."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "personal-respondent",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316\n",
      " 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334\n",
      " 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352\n",
      " 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370\n",
      " 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388\n",
      " 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406\n",
      " 407 408 409 410 411 412 413 414 415   2   3   4   5   6   7   8   9]\n",
      "369\n"
     ]
    }
   ],
   "source": [
    "betas_gly_alphas = structure_beta\n",
    "betas_gly_alphas_coords = structure_beta.getCoords()\n",
    "nodes = betas_gly_alphas\n",
    "nodes_range = len(nodes)\n",
    "nodes_list = nodes.getResnums()\n",
    "#Contruct the network, please locate the cut-off value\n",
    "ia_list = []\n",
    "for i in range(nodes_range-1):\n",
    "    for j in range(i+1, nodes_range):\n",
    "        dist = calcDistance(betas_gly_alphas_coords[i], betas_gly_alphas_coords[j])\n",
    "        if dist > 6.7:\n",
    "            continue\n",
    "        ia_list.append((nodes[i].getResnum(), nodes[j].getResnum()))\n",
    "\n",
    "protein_graph = nx.Graph()\n",
    "protein_graph.add_nodes_from(nodes_list)\n",
    "protein_graph.add_edges_from(ia_list)\n",
    "print(nodes_list)\n",
    "print(len(ia_list))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "piano-memory",
   "metadata": {},
   "source": [
    "### Calculate number of neighbours (<em>k</em>) for each residue and visualize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "manual-trauma",
   "metadata": {},
   "outputs": [],
   "source": [
    "neig_per_res = np.zeros((nodes_range))\n",
    "for i in range(nodes_range):\n",
    "    neig_per_res[i] = len(list(protein_graph.neighbors(nodes_list[i])))\n",
    "\n",
    "#np.savetxt(file_name_wh_ex+\"_k_per_res.dat\", neig_per_res, fmt='%1d')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "enabling-syndicate",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9,5))\n",
    "ax.set_ylabel('k'); #set label names\n",
    "ax.set_xlabel('Node Index');\n",
    "plt.yticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(np.arange(0,nodes_range,10), nodes_list[0:-1:10])\n",
    "plt.plot(neig_per_res, color='black')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "paperback-sunrise",
   "metadata": {},
   "source": [
    "### Calculate clustering coefficient (<em>C</em>) for each residue and visualize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "valued-diesel",
   "metadata": {},
   "outputs": [],
   "source": [
    "clust_per_res = np.zeros((nodes_range))\n",
    "clust_dict = nx.clustering(protein_graph)\n",
    "for i in range(nodes_range):\n",
    "    clust_per_res[i] = clust_dict[nodes_list[i]]\n",
    "\n",
    "#np.savetxt(file_name_wh_ex+\"_clust_per_res.dat\", clust_per_res, fmt='%1.3f')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "hairy-canvas",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9,5))\n",
    "ax.set_ylabel('C'); #set label names\n",
    "ax.set_xlabel('Node Index');\n",
    "plt.yticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(np.arange(0,nodes_range,10), nodes_list[0:-1:10])\n",
    "plt.plot(clust_per_res, color='black')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "chubby-direction",
   "metadata": {},
   "source": [
    "### Calculate average shorthest path length (<em>\\<L\\></em>) for each residue and visualize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "sacred-compression",
   "metadata": {},
   "outputs": [],
   "source": [
    "avg_path_L_all = dict(nx.all_pairs_shortest_path_length(protein_graph))\n",
    "L_per_res = np.zeros((nodes_range))\n",
    "L_pair_matrix = np.zeros((nodes_range, nodes_range))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "persistent-floating",
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(nodes_range):\n",
    "    L_per_res[i] = np.mean(list(avg_path_L_all[nodes_list[i]].values()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "destroyed-passport",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 0., 0., ..., 0., 0., 0.],\n",
       "       [0., 0., 0., ..., 0., 0., 0.],\n",
       "       [0., 0., 0., ..., 0., 0., 0.],\n",
       "       ...,\n",
       "       [0., 0., 0., ..., 0., 0., 0.],\n",
       "       [0., 0., 0., ..., 0., 0., 0.],\n",
       "       [0., 0., 0., ..., 0., 0., 0.]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L_pair_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "illegal-ladder",
   "metadata": {},
   "outputs": [],
   "source": [
    "for pair in itertools.permutations(list(range(nodes_range)), 2):\n",
    "    L_pair_matrix[pair[0], pair[1]] = avg_path_L_all[nodes_list[pair[0]]][nodes_list[pair[1]]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "likely-cloud",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#np.savetxt(file_name_wh_ex+\"_L_per_res.dat\", L_per_res, fmt='%1.3f')\n",
    "fig, ax = plt.subplots(figsize=(9,5))\n",
    "ax.set_ylabel('<L>'); #set label names\n",
    "ax.set_xlabel('Node Index');\n",
    "plt.yticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(np.arange(0,nodes_range,10), nodes_list[0:-1:10])\n",
    "plt.plot(L_per_res, color='black')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "generous-forward",
   "metadata": {},
   "source": [
    "### Now we will do GNM and construct Kirchhoff ( <strong>$\\Gamma$</strong>)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "macro-lecture",
   "metadata": {},
   "source": [
    "### By taking the inverse and diagonal of $\\Gamma$, we can calculate residue fluctuations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "successful-billy",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "@> Kirchhoff was built in 0.00s.\n",
      "@> 124 modes were calculated in 0.01s.\n"
     ]
    }
   ],
   "source": [
    "gnm = GNM(\"\")\n",
    "gnm.buildKirchhoff(structure_beta, cutoff=6.7, gamma=1.0)\n",
    "gnm.calcModes(100000000)\n",
    "fluctus = np.diag(np.linalg.pinv(gnm.getKirchhoff()))\n",
    "#np.savetxt(file_name_wh_ex+\"_fluctus_per_res.dat\", fluctus, fmt='%1.3f')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "sporting-flexibility",
   "metadata": {},
   "source": [
    "### Visualize $\\Gamma$<sup>-1</sup> as a heatmap."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "horizontal-tournament",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(np.linalg.pinv(gnm.getKirchhoff()), origin='lower')\n",
    "plt.ylabel('Residue Index'); #set label names\n",
    "plt.xlabel('Residue Index');\n",
    "plt.xticks(np.arange(0,nodes_range,20), nodes_list[0:-1:20])\n",
    "plt.yticks(np.arange(0,nodes_range,20), nodes_list[0:-1:20])\n",
    "cbar = plt.colorbar()\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "complimentary-decline",
   "metadata": {},
   "source": [
    "### Visualize residue fluctuations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "controlling-sapphire",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9,5))\n",
    "ax.set_ylabel('Residue fluctuations'); #set label names\n",
    "ax.set_xlabel('Node Index');\n",
    "plt.yticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(np.arange(0,nodes_range,10), nodes_list[0:-1:10])\n",
    "plt.plot(fluctus, color='black')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "corresponding-negative",
   "metadata": {},
   "source": [
    "### Let's compare residue fluctuations and 1/k\n",
    "For better comparison, values are normalized by their sums."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "vocal-florence",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "Pearson's R between residue fluctuations and 1/k:\n",
      "0.77\n"
     ]
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9,5))\n",
    "ax.set_ylabel('RED - 1/k     BLACK - Residue fluctuations'); #set label names\n",
    "ax.set_xlabel('Node index');\n",
    "plt.yticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.plot(np.divide(fluctus, np.sum(fluctus)), color='black')\n",
    "plt.plot(np.divide(np.power(neig_per_res, -1), np.sum(np.power(neig_per_res, -1))), color='red')\n",
    "plt.xticks(np.arange(0,nodes_range,10), nodes_list[0:-1:10])\n",
    "plt.show()\n",
    "plt.close()\n",
    "print(\"\\n\")\n",
    "print(\"Pearson's R between residue fluctuations and 1/k:\")\n",
    "print(\"{:.2f}\".format(stats.pearsonr(fluctus,np.power(neig_per_res, -1))[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "adaptive-marketing",
   "metadata": {},
   "source": [
    "### Let's compare residue fluctuations and <em>\\<L\\></em>\n",
    "\n",
    "For better comparison, values are normalized by their sums."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "diverse-weapon",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "Pearson's R between residue fluctuations and <L>:\n",
      "0.91\n"
     ]
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9,5))\n",
    "ax.set_ylabel('RED - <L>     BLACK - Residue fluctuations'); #set label names\n",
    "ax.set_xlabel('Node index');\n",
    "plt.yticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.plot(np.divide(fluctus, np.sum(fluctus)), color='black')\n",
    "plt.plot(np.divide(L_per_res, np.sum(L_per_res)), color='red')\n",
    "plt.xticks(np.arange(0,nodes_range,10), nodes_list[0:-1:10])\n",
    "plt.show()\n",
    "plt.close()\n",
    "print(\"\\n\")\n",
    "print(\"Pearson's R between residue fluctuations and <L>:\")\n",
    "print(\"{:.2f}\".format(stats.pearsonr(fluctus,L_per_res)[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "going-publicity",
   "metadata": {},
   "source": [
    "### Visualize all pair-wise <em>L</em> as a heatmap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "designing-threshold",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(L_pair_matrix, origin='lower')\n",
    "plt.ylabel('Residue Index'); #set label names\n",
    "plt.xlabel('Residue Index');\n",
    "plt.xticks(np.arange(0,nodes_range,20), nodes_list[0:-1:20])\n",
    "plt.yticks(np.arange(0,nodes_range,20), nodes_list[0:-1:20])\n",
    "cbar = plt.colorbar()\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aboriginal-hungarian",
   "metadata": {},
   "source": [
    "### Let's select two residues (nodes), then compute all shorest paths between them"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "interim-wales",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "There are 5 equivalent shortest paths,\n",
      "each of 6 steps between residues 310 and 7:\n",
      "\n",
      "310, 309, 392, 356, 337, 327, 7\n",
      "310, 309, 392, 357, 337, 327, 7\n",
      "310, 311, 391, 358, 337, 327, 7\n",
      "310, 309, 392, 356, 338, 327, 7\n",
      "310, 309, 392, 357, 338, 327, 7\n"
     ]
    }
   ],
   "source": [
    "source = 310\n",
    "target = 7\n",
    "\n",
    "paths_btw_sel_pairs = list(nx.all_shortest_paths(protein_graph, source=source, target=target))\n",
    "print(\"There are {:d} equivalent shortest paths,\\neach of {:d} steps between residues {:d} and {:d}:\\n\"\n",
    "      .format(len(paths_btw_sel_pairs), len(paths_btw_sel_pairs[0])-1, source, target))\n",
    "for i in paths_btw_sel_pairs:\n",
    "    print(', '.join(map(str, i)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "knowing-going",
   "metadata": {},
   "source": [
    "### Write a vmd file to visualize these paths on protein structure\n",
    "In vmd file, the representations of paths are off, so please turn them on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "entertaining-client",
   "metadata": {},
   "outputs": [],
   "source": [
    "f = open(file_name_wh_ex+\"_color_btwn_\"+str(source)+\"_\"+str(target)+\".vmd\", 'w')\n",
    "f.write(\"\"\"\n",
    "display projection Orthographic\n",
    "color Display Background 8\n",
    "axes location Off\n",
    "display depthcue off\n",
    "\\n\n",
    "\"\"\")\n",
    "\n",
    "f.write(\"mol new {}.pdb\\n\".format(str(file_name_wh_ex)))\n",
    "f.write(\"mol modstyle 0 0 NewCartoon {0.300000 50.000000 4.100000 0}\\n\")\n",
    "f.write(\"mol modcolor 0 0 ColorID 8\\n\")\n",
    "\n",
    "for i in range(len(paths_btw_sel_pairs)):\n",
    "    f.write(\"mol addrep 0\\n\")\n",
    "    f.write(\"mol modselect {:d} 0 resid {} and ((name CB and protein) or (name CA and resname GLY))\\n\".format(i+1,' '.join(map(str, paths_btw_sel_pairs[i]))))\n",
    "    f.write(\"mol modstyle {:d} 0 CPK {{5.200000 0.000000 50.000000 0.000000}}\\n\".format(i+1))\n",
    "    f.write(\"mol modcolor {:d} 0 ColorID {:d}\\n\".format(i+1, i+1))\n",
    "    f.write(\"mol showrep 0 {:d} 0\\n\".format(i+1))\n",
    "f.write(\"mol showrep 0 1 1\\n\")\n",
    "f.close()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "breeding-cathedral",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
