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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "eac2250a-94b9-43b0-880c-1ccdc22f3094", | |
"metadata": {}, | |
"source": [ | |
"# Finding bridgehead atoms in RDKIT\n", | |
"Finding bridgehead atoms in bicyclic systems using RDKit is not that trivial. For example, using rdkit's CalcNumBridgeheadAtoms() method, the bridgehead atoms of C1CC2C3C2C1C3 do not get detected. Unfortunately, this means it is necessary to exhaustively list and compare all rings, including those that GetSymmSSSR() will not pick up. The ringfinder class was adapted from Pat Walters' post in the RDKit mailing list (https://sourceforge.net/p/rdkit/mailman/message/30387811/). I added the findBicycles function." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"id": "da278af1-d529-4e92-8bd0-ac18e8a4762e", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"from rdkit import Chem\n", | |
"from rdkit.Chem import Draw\n", | |
"from rdkit.Chem.Draw import IPythonConsole\n", | |
"IPythonConsole.drawOptions.addAtomIndices = True\n", | |
"IPythonConsole.molSize = 200,200\n", | |
"\n", | |
"\n", | |
"mol1 = Chem.MolFromSmiles(\"C1CC2CCC1C2\")\n", | |
"mol2 = Chem.MolFromSmiles(\"C1CC2C1C1CCC2C1\")\n", | |
"mol3 = Chem.MolFromSmiles(\"N1(CC2)CCC2CC1\")\n", | |
"mol4 = Chem.MolFromSmiles(\"C1CCC12CCCCC2\")\n", | |
"mol5 = Chem.MolFromSmiles(\"C1CC2C1CCCCC2\")\n", | |
"mol6 = Chem.MolFromSmiles(\"C1CCC(C(CCC3)C23)C12\")\n", | |
"mol7 = Chem.MolFromSmiles(\"C1CC2C3C2C1C3\")\n", | |
"mol8 = Chem.MolFromSmiles(\"N1(CC2)C3CC2CC13\")\n", | |
"mol9 = Chem.MolFromSmiles(\"C1CCC(C(CCC3)C23)C12C1CCC12CCCCC2\")\n", | |
"mol10 = Chem.MolFromSmiles(\"C1CC2C3C2C1C3C1CC2C1C1CCC2C1\")\n", | |
"mol11 = Chem.MolFromSmiles(\"N1(CC2)CCC2CC1CC1CC2CCC1C2\")\n", | |
"mol12 = Chem.MolFromSmiles(\"C1CC2CCC1C2CC1CC2CCC1C2\")\n", | |
"mols = [mol1,mol2,mol3,mol4,mol5,mol6,mol7,mol8,mol9,mol10,mol11,mol12]\n", | |
"\n", | |
"class RingFinder:\n", | |
" #source of this class:\n", | |
" #https://sourceforge.net/p/rdkit/mailman/message/30387811/\n", | |
" def __init__(self):\n", | |
" self.ringSmartsList = [\"*1\" + x * \"*~\" + \"*1\" for x in range(1,19)]\n", | |
" self.ringPatList = [(x.count(\"*\"),Chem.MolFromSmarts(x)) for x in\n", | |
" self.ringSmartsList]\n", | |
"\n", | |
" def findAllRings(self,mol):\n", | |
" ringList = []\n", | |
" for size,pat in self.ringPatList:\n", | |
" for match in mol.GetSubstructMatches(pat):\n", | |
" ringList.append([size,match])\n", | |
" return ringList\n", | |
" \n", | |
" def findBicycles(self,mol):\n", | |
" rl = self.findAllRings(mol)\n", | |
" bh = set([])\n", | |
" for i,r1 in enumerate(rl[:-1]):\n", | |
" for r2 in rl[i+1:]:\n", | |
" sr1 = set(r1[1])\n", | |
" sr2 = set(r2[1])\n", | |
" diffs=[sr2-sr1, sr1-sr2]\n", | |
" if sr1 ^ sr2 not in diffs and len(sr1 & sr2) > 2:\n", | |
" bh1 = set([])\n", | |
" bh2 = set([])\n", | |
" for idx in sr1:\n", | |
" n = mol.GetAtomWithIdx(idx).GetNeighbors()\n", | |
" n = [a.GetIdx() for a in n]\n", | |
" bh1 = bh1 | {idx for nidx in n if nidx not in sr1}\n", | |
" for idx in sr2:\n", | |
" n = mol.GetAtomWithIdx(idx).GetNeighbors()\n", | |
" n = [a.GetIdx() for a in n]\n", | |
" bh2 = bh2 | {idx for nidx in n if nidx not in sr2}\n", | |
" if len(bh1 & bh2) == 2:\n", | |
" bh=bh | (bh1 & bh2)\n", | |
" return bh\n", | |
"\n", | |
"ringFinder = RingFinder()\n", | |
"bh = [ringFinder.findBicycles(mol) for mol in mols]\n", | |
"bhl = [\"bridgehead atoms: \" + \",\".join([str(x) for x in y]) for y in bh]\n", | |
"d = Draw.MolsToGridImage(mols,legends=bhl,highlightAtomLists=bh,molsPerRow=4)\n", | |
"display(d)" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.9.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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