dominicrufa/marcus_torsions.ipynb

## marcus_torsions.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "055b0c63",
   "metadata": {},
   "outputs": [],
   "source": [
    "from rdkit import Chem\n",
    "from rdkit.Chem.Draw import IPythonConsole\n",
    "from rdkit.Chem import AllChem\n",
    "from rdkit.Chem.rdmolfiles import SDWriter\n",
    "import os\n",
    "\n",
    "from rdkit.Chem.Lipinski import RotatableBondSmarts\n",
    "\n",
    "IPythonConsole.drawOptions.addAtomIndices = True\n",
    "IPythonConsole.drawOptions.addStereoAnnotation = False\n",
    "IPythonConsole.molSize = 500,500"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b5a8be83",
   "metadata": {},
   "source": [
    "## tyk2 ligands"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "453605cc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/mnt/c/Users/domin/Downloads/lig_ejm_31.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_ejm_42.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_ejm_43.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_ejm_44.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_ejm_45.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_ejm_46.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_ejm_47.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_ejm_48.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_ejm_49.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_ejm_50.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_ejm_54.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_ejm_55.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_jmc_23.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_jmc_27.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_jmc_28.sdf\n",
      "/mnt/c/Users/domin/Downloads/lig_jmc_30.sdf\n"
     ]
    }
   ],
   "source": [
    "tyk2_sdf_list = ['lig_ejm_31.sdf', \n",
    "                 'lig_ejm_42.sdf', \n",
    "                 'lig_ejm_43.sdf',\n",
    "                 'lig_ejm_44.sdf',\n",
    "                 'lig_ejm_45.sdf',\n",
    "                 'lig_ejm_46.sdf',\n",
    "                 'lig_ejm_47.sdf',\n",
    "                 'lig_ejm_48.sdf',\n",
    "                 'lig_ejm_49.sdf',\n",
    "                 'lig_ejm_50.sdf',\n",
    "                 'lig_ejm_54.sdf',\n",
    "                 'lig_ejm_55.sdf',\n",
    "                 'lig_jmc_23.sdf',\n",
    "                 'lig_jmc_27.sdf',\n",
    "                 'lig_jmc_28.sdf',\n",
    "                 'lig_jmc_30.sdf']\n",
    "tyk2_sdf_dir = '/mnt/c/Users/domin/Downloads'\n",
    "\n",
    "# collect all the mols\n",
    "mols = []\n",
    "for _file in tyk2_sdf_list:\n",
    "    _filepath = os.path.join(tyk2_sdf_dir, _file)\n",
    "    print(_filepath)\n",
    "    suppl = Chem.SDMolSupplier(_filepath,  removeHs=False)\n",
    "    mol = suppl[0]\n",
    "    mols.append(mol)\n",
    "    \n",
    "\n",
    "with Chem.SDWriter('tyk2_ligands.sdf') as w:\n",
    "    for m in mols:\n",
    "        w.write(m)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "75b82410",
   "metadata": {},
   "outputs": [],
   "source": [
    "tyk2_sdffile = 'tyk2_ligands.sdf'\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "465415e5",
   "metadata": {},
   "outputs": [],
   "source": [
    "suppl = Chem.SDMolSupplier(tyk2_sdffile,  removeHs=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3c229e60",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "32\n",
      "35\n",
      "38\n",
      "41\n",
      "39\n",
      "36\n",
      "39\n",
      "42\n",
      "39\n",
      "33\n",
      "37\n",
      "33\n",
      "36\n",
      "36\n",
      "39\n",
      "37\n"
     ]
    }
   ],
   "source": [
    "for mol in suppl:\n",
    "    print(mol.GetNumAtoms())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "803b49f8",
   "metadata": {},
   "outputs": [],
   "source": [
    "def flatten_tuples(t):\n",
    "    for x in t:\n",
    "        if isinstance(x, tuple):\n",
    "            yield from flatten_tuples(x)\n",
    "        else:\n",
    "            yield x\n",
    "            \n",
    "\n",
    "def get_torsion_indices(mol):\n",
    "    \"\"\"a helper function to return a sequence of 4-tuple torsions\"\"\"\n",
    "    from rdkit.Chem.Lipinski import RotatableBondSmarts\n",
    "    \n",
    "    rot_atom_pairs = mol.GetSubstructMatches(RotatableBondSmarts) # get rotatable bond tuples\n",
    "    all_atoms = set(list(flatten_tuples(rot_atom_pairs)))\n",
    "    rot_quadruples = []\n",
    "    \n",
    "    for pair in rot_atom_pairs: # query each one\n",
    "        a1_idx, a2_idx = pair\n",
    "        a1 = [atom for atom in mol.GetAtoms() if atom.GetIdx() == a1_idx][0]\n",
    "        a2 = [atom for atom in mol.GetAtoms() if atom.GetIdx() == a2_idx][0]\n",
    "        a1_nbrs = [nbr for nbr in a1.GetNeighbors()]\n",
    "        a2_nbrs = [nbr for nbr in a2.GetNeighbors()]\n",
    "        a1_nbr_indices = [q.GetIdx() for q in a1_nbrs if q.GetAtomicNum() != 1 and q.GetIdx() != a2_idx] # because fuck hydrogens\n",
    "        a2_nbr_indices = [q.GetIdx() for q in a2_nbrs if q.GetAtomicNum() != 1 and q.GetIdx() != a1_idx]\n",
    "        \n",
    "        if len(a1_nbr_indices) == 0 or len(a2_nbr_indices) == 0:\n",
    "            continue # omit this pair\n",
    "        \n",
    "        # iterate over all neighbor combinations and get the quadruple.\n",
    "        p1, p2, p3, p4 = None, a1_idx, a2_idx, None\n",
    "        \n",
    "        # get p1\n",
    "        for a1_nbr_idx in a1_nbr_indices[::-1]:\n",
    "            if a1_nbr_idx in all_atoms:\n",
    "                p1 = a1_nbr_idx\n",
    "            else:\n",
    "                continue\n",
    "        if p1 is None:\n",
    "            p1 = a1_nbr_idx\n",
    "        \n",
    "        # get p4\n",
    "        for a2_nbr_idx in a2_nbr_indices[::-1]:\n",
    "            if a2_nbr_idx in all_atoms:\n",
    "                p4 = a2_nbr_idx\n",
    "            else:\n",
    "                continue\n",
    "        \n",
    "        if p4 is None:\n",
    "            p4 = a2_nbr_idx\n",
    "        \n",
    "        rot_quadruples.append([p1, p2, p3, p4])\n",
    "    \n",
    "    return rot_quadruples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ba7d80dc",
   "metadata": {},
   "outputs": [],
   "source": [
    "all_torsions = []\n",
    "for mol in suppl:\n",
    "    my_torsions = get_torsion_indices(mol)\n",
    "    all_torsions.append(my_torsions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3ae0d4bf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 19]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 19],\n",
       "  [16, 17, 19, 30]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 19],\n",
       "  [16, 17, 19, 21]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 19],\n",
       "  [16, 17, 19, 21]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 19],\n",
       "  [16, 17, 19, 32],\n",
       "  [17, 19, 32, 34]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 19],\n",
       "  [16, 17, 19, 21]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 28],\n",
       "  [16, 17, 28, 31]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 29],\n",
       "  [16, 17, 29, 33]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 31],\n",
       "  [16, 17, 31, 30]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 19],\n",
       "  [16, 17, 19, 32]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 32],\n",
       "  [16, 17, 32, 28],\n",
       "  [31, 28, 32, 17]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 31],\n",
       "  [16, 17, 31, 28]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 19],\n",
       "  [16, 17, 19, 21]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 19],\n",
       "  [16, 17, 19, 21]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 19],\n",
       "  [16, 17, 19, 21]],\n",
       " [[2, 3, 7, 9],\n",
       "  [3, 7, 9, 10],\n",
       "  [7, 9, 10, 11],\n",
       "  [13, 14, 16, 17],\n",
       "  [14, 16, 17, 19],\n",
       "  [16, 17, 19, 21]]]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_torsions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "8e7e60a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mol = suppl[0]\n",
    "AllChem.Compute2DCoords(mol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "e3ce898e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<rdkit.Chem.rdchem.Mol at 0x7fd6d3bfee20>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mol"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5ad94db7",
   "metadata": {},
   "source": [
    "there are two \"special ligands\" that have lone pairs on either side of the R-group amide bond; these are ligands index 10 and 11:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "a087ce0c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<rdkit.Chem.rdchem.Mol at 0x7fd6d3bfe880>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mol = suppl[10]\n",
    "AllChem.Compute2DCoords(mol)\n",
    "mol"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44028d8d",
   "metadata": {},
   "source": [
    "let's do individual and coupled torsion scans about torsions [27, 16, 17, 18] and [18, 17, 32, 33]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "b993fa9e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<rdkit.Chem.rdchem.Mol at 0x7fd6d3ac4040>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mol = suppl[11]\n",
    "AllChem.Compute2DCoords(mol)\n",
    "mol"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "81f2a3b2",
   "metadata": {},
   "source": [
    "## cdk2 ligands"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f5c4e397",
   "metadata": {},
   "outputs": [],
   "source": [
    "cdk2_sdf_list = ['lig_17.sdf', \n",
    "                 'lig_1h1q.sdf', \n",
    "                 'lig_1h1r.sdf',\n",
    "                 'lig_1h1s.sdf',\n",
    "                 'lig_1oi9.sdf',\n",
    "                 'lig_1oiu.sdf',\n",
    "                 'lig_1oiy.sdf',\n",
    "                 'lig_20.sdf',\n",
    "                 'lig_21.sdf',\n",
    "                 'lig_22.sdf',\n",
    "                 'lig_26.sdf',\n",
    "                 'lig_28.sdf',\n",
    "                 'lig_29.sdf',\n",
    "                 'lig_30.sdf',\n",
    "                 'lig_31.sdf',\n",
    "                 'lig_32.sdf']\n",
    "cdk2_sdf_dir = '/mnt/c/Users/domin/Downloads'\n",
    "\n",
    "# collect all the mols\n",
    "mols = []\n",
    "for _file in cdk2_sdf_list:\n",
    "    _filepath = os.path.join(cdk2_sdf_dir, _file)\n",
    "    print(_filepath)\n",
    "    suppl = Chem.SDMolSupplier(_filepath,  removeHs=False)\n",
    "    mol = suppl[0]\n",
    "    mols.append(mol)\n",
    "    \n",
    "\n",
    "with Chem.SDWriter('cdk2_ligands.sdf') as w:\n",
    "    for m in mols:\n",
    "        w.write(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "b371670b",
   "metadata": {},
   "outputs": [],
   "source": [
    "cdk2_sdffile = 'cdk2_ligands.sdf'\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "7e2f87e3",
   "metadata": {},
   "outputs": [],
   "source": [
    "suppl = Chem.SDMolSupplier(cdk2_sdffile,  removeHs=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "c6326073",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "49\n",
      "46\n",
      "49\n",
      "50\n",
      "45\n",
      "49\n",
      "49\n",
      "45\n",
      "45\n",
      "49\n"
     ]
    }
   ],
   "source": [
    "for mol in suppl:\n",
    "    print(mol.GetNumAtoms())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "7db57e20",
   "metadata": {},
   "outputs": [],
   "source": [
    "all_torsions = []\n",
    "for mol in suppl:\n",
    "    my_torsions = get_torsion_indices(mol)\n",
    "    all_torsions.append(my_torsions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "77e62333",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[[1, 2, 5, 47],\n",
       "  [10, 12, 13, 15],\n",
       "  [12, 13, 15, 46],\n",
       "  [16, 17, 18, 19],\n",
       "  [17, 18, 19, 22],\n",
       "  [18, 19, 22, 36]],\n",
       " [[5, 7, 8, 10],\n",
       "  [7, 8, 10, 41],\n",
       "  [11, 12, 13, 14],\n",
       "  [12, 13, 14, 17],\n",
       "  [13, 14, 17, 31]],\n",
       " [[3, 4, 5, 6],\n",
       "  [4, 5, 6, 9],\n",
       "  [5, 6, 9, 23],\n",
       "  [26, 27, 28, 30],\n",
       "  [27, 28, 30, 43],\n",
       "  [33, 35, 36, 37]],\n",
       " [[3, 4, 5, 6],\n",
       "  [4, 5, 6, 9],\n",
       "  [5, 6, 9, 23],\n",
       "  [26, 27, 28, 30],\n",
       "  [27, 28, 30, 44],\n",
       "  [31, 33, 34, 37]],\n",
       " [[3, 4, 5, 6],\n",
       "  [4, 5, 6, 9],\n",
       "  [5, 6, 9, 23],\n",
       "  [26, 27, 28, 30],\n",
       "  [27, 28, 30, 39]],\n",
       " [[3, 4, 5, 6],\n",
       "  [4, 5, 6, 9],\n",
       "  [5, 6, 9, 23],\n",
       "  [26, 27, 28, 30],\n",
       "  [27, 28, 30, 43],\n",
       "  [35, 37, 38, 39]],\n",
       " [[3, 4, 5, 6],\n",
       "  [4, 5, 6, 9],\n",
       "  [5, 6, 9, 23],\n",
       "  [26, 27, 28, 30],\n",
       "  [27, 28, 30, 43],\n",
       "  [35, 37, 38, 39]],\n",
       " [[2, 3, 10, 12],\n",
       "  [3, 10, 12, 17],\n",
       "  [15, 16, 18, 19],\n",
       "  [16, 18, 19, 22],\n",
       "  [18, 19, 22, 27]],\n",
       " [[3, 4, 5, 6],\n",
       "  [4, 5, 6, 9],\n",
       "  [5, 6, 9, 23],\n",
       "  [26, 27, 28, 30],\n",
       "  [27, 28, 30, 39]],\n",
       " [[3, 4, 5, 6],\n",
       "  [4, 5, 6, 9],\n",
       "  [5, 6, 9, 23],\n",
       "  [26, 27, 28, 30],\n",
       "  [27, 28, 30, 43],\n",
       "  [33, 35, 36, 38]]]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_torsions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "33605385",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mol = suppl[0]\n",
    "AllChem.Compute2DCoords(mol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "148a0151",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1, 2, 5, 47],\n",
       " [10, 12, 13, 15],\n",
       " [12, 13, 15, 46],\n",
       " [16, 17, 18, 19],\n",
       " [17, 18, 19, 22],\n",
       " [18, 19, 22, 36]]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_torsions[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "34d955a5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
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       "<table><tr><td colspan=\"2\" style=\"text-align: center;\"><image 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\"></td></tr>\n",
       "<tr><th style=\"text-align: right\">s_m_source_file</th><td style=\"text-align: left\">ligprep_cdk2.smi</td></tr>\n",
       "<tr><th style=\"text-align: right\">i_m_source_file_index</th><td style=\"text-align: left\">8</td></tr>\n",
       "<tr><th style=\"text-align: right\">i_lp_mmshare_version</th><td style=\"text-align: left\">53161</td></tr>\n",
       "<tr><th style=\"text-align: right\">i_f3d_flags</th><td style=\"text-align: left\">0</td></tr>\n",
       "<tr><th style=\"text-align: right\">s_epik_input</th><td style=\"text-align: left\">W09IXVtDSDJdYzFbY0hdW2NIXVtjSF1jKFtjSF0xKVtOSF1jKG5jKGMyMylbbkhdW2NIXW4zKW5jMk9bQ0gyXVtDSF00W0NIMl1bQ0gyXVtDSDJdW0NIMl1bQ0gyXTQ=</td></tr>\n",
       "<tr><th style=\"text-align: right\">s_epik_cmdline</th><td style=\"text-align: left\">J2VwaWtfcHl0aG9uJywgJy1waHQnLCAnMC4wJywgJy1waCcsICc3LjQnLCAnLXRuJywgJzgnLCAnLW1hJywgJzUwMCcsICctaW1hZScsICc8aW5maWxlLm1hZT4nLCAnLW9tYWUnLCAnPG91dGZpbGUubWFlPic=</td></tr>\n",
       "<tr><th style=\"text-align: right\">r_lp_tautomer_probability</th><td style=\"text-align: left\">1</td></tr>\n",
       "<tr><th style=\"text-align: right\">r_epik_Ionization_Penalty</th><td style=\"text-align: left\">  0.0272</td></tr>\n",
       "<tr><th style=\"text-align: right\">r_epik_Ionization_Penalty_Charging</th><td style=\"text-align: left\">  0.0000</td></tr>\n",
       "<tr><th style=\"text-align: right\">r_epik_Ionization_Penalty_Neutral</th><td style=\"text-align: left\">  0.0272</td></tr>\n",
       "<tr><td colspan=\"2\" style=\"text-align: center\">Property list truncated.<br />Increase IPythonConsole.ipython_maxProperties (or set it to -1) to see more properties.</td></tr></table>"
      ],
      "text/plain": [
       "<rdkit.Chem.rdchem.Mol at 0x7ffbe546d8e0>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mol"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "94b48436",
   "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": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}