{ "cells": [ { "cell_type": "markdown", "id": "28739ff6", "metadata": {}, "source": [ "# Exploring similarity in molecules\n", "\n", "In this notebook we will use the [RDKit library](https://www.rdkit.org) (accessible as a Python module) to investigate the properties of a series of molecules. In particular, we will look at ways to determine _similarity_ between molecules, a concept which is very intuitive for human chemists, but not very easy to define formally for a computer." ] }, { "cell_type": "code", "execution_count": 1, "id": "75ce7a7e", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "from rdkit import Chem, DataStructs\n", "from rdkit.Chem import rdFMCS, Draw\n", "from rdkit.Chem.Draw import IPythonConsole\n", "from rdkit.ML.Cluster import Butina\n", "from rdkit.SimDivFilters.rdSimDivPickers import MaxMinPicker\n", "\n", "import networkx as nx\n", "import seaborn as sns" ] }, { "cell_type": "markdown", "id": "2f2ca122", "metadata": {}, "source": [ "## Exploring the molecular graph: identifying chemical groups\n", "\n", "We start by loading a small dataset of molecules, which are stored in the [SDF format](https://en.wikipedia.org/wiki/Chemical_table_file#SDF). This files comes from the examples of RDKit, and contains several small molecules that are biologically active on the 5-HT3 receptor." ] }, { "cell_type": "code", "execution_count": 2, "id": "42f24829", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of molecules loaded: 180\n" ] } ], "source": [ "molecules = list(Chem.SDMolSupplier('actives_5ht3.sdf'))\n", "print('Number of molecules loaded:', len(molecules))" ] }, { "cell_type": "markdown", "id": "0bcc9588", "metadata": {}, "source": [ "We can look at some of the molecules:" ] }, { "cell_type": "code", "execution_count": 3, "id": "12a66aa3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "molecules[27]" ] }, { "cell_type": "code", "execution_count": 4, "id": "3a52f190", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "molecules[19]" ] }, { "cell_type": "markdown", "id": "3d51e14a", "metadata": {}, "source": [ "How do we identify specific chemical features in molecules? We will use a function that searches a molecular graph for a substructure, or “pattern”. For example, how many molecules contain a —NH—CO–NH– group? They are called [_ureas_](https://en.wikipedia.org/wiki/Ureas)\n", "\n", "In order to solve this question, we start by creating the “pattern” for which we want to search. We do this by specifying the series of atoms, in the [SMARTS](https://en.wikipedia.org/wiki/SMILES_arbitrary_target_specification) description:" ] }, { "cell_type": "code", "execution_count": 5, "id": "756c6af5", "metadata": {}, "outputs": [ { "data": { "image/png": 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6VFh0TU9MIHJka2l0IDIwMjUuMDMuNAAAeJydUcFOxCAQvfMVL3swetiGQjfKgQMtuG600C3UZGP8AO/+fxzSdOmu0RhnOEweb968AYYco33++MQ5hGUM4L8cpRReJeec9cgFWrc/eHTJtAvShcmniAYSgnqumCaFfkFqeNSVUIrLB/Dqfke61FBxPhcLT6DD9gyX6jtTIqyZdbX7idnQ7O1fhjtvL0zPa7TB27JGTlHc5pTFEt2hWcutm2e5uB/DNBRBaxI9XR4b9S2p3+E4ufGUToPTsTdjiscZCYPWeDy4F0stRm/e/M1T/b4pXq6Umv8qZd+XLjOy/DvV7AulIXvtaP8qAwAAAEp6VFh0U01JTEVTIHJka2l0IDIwMjUuMDMuNAAAeJyL9vOIddaIBpKatv4KNRqGekaWlgYmOgZ65qY61gY6BjrWuuhiQAFTHc0aAKIlDRen4RrnAAAAAElFTkSuQmCC", "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "patt = Chem.MolFromSmarts('[NH]-C(=O)-[NH]')\n", "patt" ] }, { "cell_type": "markdown", "id": "8779f1eb", "metadata": {}, "source": [ "Then we can use the `HasSubstructMatch()` function to identify if a given molecule features this substructure. We call the function on all molecules, selecting the ones that match:" ] }, { "cell_type": "code", "execution_count": 6, "id": "012aa4be", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of matches found: 7\n" ] } ], "source": [ "matches = [mol for mol in molecules if mol.HasSubstructMatch(patt)]\n", "print('Number of matches found:', len(matches))" ] }, { "cell_type": "code", "execution_count": 7, "id": "16bd05f9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "matches[0]" ] }, { "cell_type": "code", "execution_count": 8, "id": "736775f7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "matches[1]" ] }, { "cell_type": "code", "execution_count": 9, "id": "ff385fef", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "matches[5]" ] }, { "cell_type": "markdown", "id": "cf43945f", "metadata": {}, "source": [ "We can already see that some of those molecules look similar. We will get back to this later.\n", "\n", "Let’s try with another type of feature: how many molecules in that data set have a sulfur atom inside an aromatic ring? The SMARTS string for “aromatic sulfur” is `s` (lowercase), so that is easy:" ] }, { "cell_type": "code", "execution_count": 10, "id": "ee2cfaa1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of matches found: 12\n" ] } ], "source": [ "patt = Chem.MolFromSmarts('s')\n", "matches = [x for x in molecules if x.HasSubstructMatch(patt)]\n", "print('Number of matches found:', len(matches))" ] }, { "cell_type": "code", "execution_count": 11, "id": "997af504", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "matches[10]" ] }, { "cell_type": "code", "execution_count": 12, "id": "56c83425", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "matches[4]" ] }, { "cell_type": "markdown", "id": "1a067021", "metadata": {}, "source": [ "## Matrix and graph representation of molecules\n", "\n", "If we want to explore the molecular graph further, we have several options. We can for example get the complete list of atoms and bonds in a given molecule:" ] }, { "cell_type": "code", "execution_count": 13, "id": "d903fdf8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "IPythonConsole.drawOptions.addAtomIndices = True\n", "\n", "mol = molecules[11]\n", "mol" ] }, { "cell_type": "code", "execution_count": 14, "id": "1335af41", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C C N C C C C N C C C O C C C F C C \n", "0 1 SINGLE\n", "0 2 SINGLE\n", "0 3 SINGLE\n", "1 4 SINGLE\n", "1 5 SINGLE\n", "2 6 SINGLE\n", "3 7 SINGLE\n", "4 8 SINGLE\n", "5 9 SINGLE\n", "6 10 SINGLE\n", "6 11 DOUBLE\n", "10 12 AROMATIC\n", "10 13 AROMATIC\n", "12 14 AROMATIC\n", "12 15 SINGLE\n", "13 16 AROMATIC\n", "14 17 AROMATIC\n", "7 8 SINGLE\n", "7 9 SINGLE\n", "16 17 AROMATIC\n" ] } ], "source": [ "# Loop over all atoms\n", "for at in mol.GetAtoms():\n", " print(at.GetSymbol(), end=' ')\n", "print()\n", "\n", "# Loop over all bonds\n", "for bond in mol.GetBonds():\n", " print(bond.GetBeginAtomIdx(), bond.GetEndAtomIdx(), bond.GetBondType())" ] }, { "cell_type": "markdown", "id": "f70ada22", "metadata": {}, "source": [ "Another interesting object, when we want to algorithmically study molecular structures, is the [adjacency matrix](https://en.wikipedia.org/wiki/Adjacency_matrix). It is a square, symmetric matrix where each entry $A_{ij}$ tells you if atoms $i$ and $j$ are bonded ($A_{ij} = 1$) or not ($A_{ij} = 0$)." ] }, { "cell_type": "code", "execution_count": 15, "id": "f97d430a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0],\n", " [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0],\n", " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0],\n", " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1],\n", " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1],\n", " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]],\n", " dtype=int32)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Chem.GetAdjacencyMatrix(mol)" ] }, { "cell_type": "markdown", "id": "4d781e5c", "metadata": {}, "source": [ "The adjacency matrix (along with the list of types of each atom) is a representation of the molecular structure. It is not very compact representation, having a lot of zeros. Hence, it is rarely used directly as descriptor of a molecule.\n", "\n", "Note that it is also possible to calculate a version where bond orders are represented (instead of simply 1 or 0, for “connected” or “unconnected”). Can you spot the molecule’s double bond? Notice also how aromatic bonds have a bond order of 1.5:" ] }, { "cell_type": "code", "execution_count": 16, "id": "bd7b40c0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0. , 1. , 1. , 1. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ],\n", " [1. , 0. , 0. , 0. , 1. , 1. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ],\n", " [1. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ],\n", " [1. , 0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ],\n", " [0. , 1. , 0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ],\n", " [0. , 1. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ],\n", " [0. , 0. , 1. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 1. , 2. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ],\n", " [0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. , 1. , 1. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ],\n", " [0. , 0. , 0. , 0. , 1. , 0. , 0. , 1. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ],\n", " [0. , 0. , 0. , 0. , 0. , 1. , 0. , 1. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ],\n", " [0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. , 0. , 1.5,\n", " 1.5, 0. , 0. , 0. , 0. ],\n", " [0. , 0. , 0. , 0. , 0. , 0. , 2. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ],\n", " [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 1.5, 0. , 0. ,\n", " 0. , 1.5, 1. , 0. , 0. ],\n", " [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 1.5, 0. , 0. ,\n", " 0. , 0. , 0. , 1.5, 0. ],\n", " [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 1.5,\n", " 0. , 0. , 0. , 0. , 1.5],\n", " [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 1. ,\n", " 0. , 0. , 0. , 0. , 0. ],\n", " [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 1.5, 0. , 0. , 0. , 1.5],\n", " [0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 1.5, 0. , 1.5, 0. ]])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Chem.GetAdjacencyMatrix(mol, useBO=True)" ] }, { "cell_type": "markdown", "id": "d18b3133", "metadata": {}, "source": [ "We can use other representations to encode the molecular structure. One is the “molecular graph” — where the work “graph” is meant in the [mathematical meaning](https://en.wikipedia.org/wiki/Graph_(discrete_mathematics)) of graph theory. We manipulate these graphs easily with the [NetworkX](https://networkx.org) library. They can be created directly form the adjacency matrix:" ] }, { "cell_type": "code", "execution_count": 17, "id": "872d17f5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "atoms = [atom.GetAtomicNum() for atom in mol.GetAtoms()]\n", "am = Chem.GetAdjacencyMatrix(mol, useBO=True)\n", "graph = nx.from_numpy_array(am)\n", "\n", "nx.draw(graph, with_labels = True)" ] }, { "cell_type": "markdown", "id": "100a2787", "metadata": {}, "source": [ "Of course, visually it is not as “physical” or easy to visualize as our usual chemical representation. But the mathematical theory of graphs is a very-well known topic, and there are lots of studies (and software implementations) on how to represent such graphs.\n", "\n", "We can figure out what the _diameter_ of the graph is (can you guess what it is?):" ] }, { "cell_type": "code", "execution_count": 18, "id": "0f813eb5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "9" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.algorithms.distance_measures.diameter(graph)" ] }, { "cell_type": "markdown", "id": "9456f302", "metadata": {}, "source": [ "Or determine what atoms correspond to the _center_ of the graph:" ] }, { "cell_type": "code", "execution_count": 19, "id": "e735942c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[2, 6]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.algorithms.distance_measures.center(graph)" ] }, { "cell_type": "markdown", "id": "3ff512cc", "metadata": {}, "source": [ "If we draw the molecular structure and label the atoms by their indices, does it make sense? Can you see that path that corresponds to the diameter?" ] }, { "cell_type": "code", "execution_count": 20, "id": "bb5d402b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "IPythonConsole.drawOptions.addAtomIndices = True\n", "mol" ] }, { "cell_type": "markdown", "id": "bac341cd", "metadata": {}, "source": [ "In that way, we can now use established algorithms, designed and optimized for the representation of graphs for machine learning, in order to encode molecular structures. If you are interested in how this is done, you can have look at packages like [Karate Club](https://karateclub.readthedocs.io/en/latest/) and [graph2vec](https://github.com/benedekrozemberczki/graph2vec)." ] }, { "cell_type": "markdown", "id": "6fc9bb10", "metadata": {}, "source": [ "## Identifying common substructures\n", "\n", "We can also use functions to search for (and identify) the common substructures of a set of molecules. Let’s pick three different molecules:" ] }, { "cell_type": "code", "execution_count": 21, "id": "b3c6fb2f", "metadata": {}, "outputs": [], "source": [ "mol1 = Chem.MolFromSmiles(\"O=C(NCc1cc(OC)c(O)cc1)CCCC/C=C/C(C)C\")\n", "mol2 = Chem.MolFromSmiles(\"CC(C)CCCCCC(=O)NCC1=CC(=C(C=C1)O)OC\")\n", "mol3 = Chem.MolFromSmiles(\"c1(C=O)cc(OC)c(O)cc1\")" ] }, { "cell_type": "code", "execution_count": 22, "id": "8df0e4c0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mol1" ] }, { "cell_type": "code", "execution_count": 23, "id": "b8312242", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mol2" ] }, { "cell_type": "code", "execution_count": 24, "id": "6148c292", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mol3" ] }, { "cell_type": "markdown", "id": "0314fc94", "metadata": {}, "source": [ "What does these three molecules have in common? We will be searching for their **maximum common structure**, or MCS. It will be, intuitively, the largest “part” common to all molecules in the set:" ] }, { "cell_type": "code", "execution_count": 25, "id": "99e63dd3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res = rdFMCS.FindMCS([mol1, mol2, mol3])\n", "res" ] }, { "cell_type": "markdown", "id": "458aca4e", "metadata": {}, "source": [ "We can visualize this common substructure by asking for its SMARTS representation, then drawing it:" ] }, { "cell_type": "code", "execution_count": 26, "id": "b738753b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Chem.MolFromSmarts(res.smartsString)" ] }, { "cell_type": "markdown", "id": "d3a3332a", "metadata": {}, "source": [ "This can provide for a definition of “similarity” between molecules: we can say that molecules are similar if they share a large substructure. For example, which are the closest of the three molecules we have chosen?" ] }, { "cell_type": "code", "execution_count": 27, "id": "ff2786c9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Chem.MolFromSmarts(rdFMCS.FindMCS([mol1, mol2]).smartsString)" ] }, { "cell_type": "code", "execution_count": 28, "id": "6f82b4a8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Chem.MolFromSmarts(rdFMCS.FindMCS([mol1, mol3]).smartsString)" ] }, { "cell_type": "code", "execution_count": 29, "id": "f47a7f55", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Chem.MolFromSmarts(rdFMCS.FindMCS([mol2, mol3]).smartsString)" ] }, { "cell_type": "markdown", "id": "fcc5349b", "metadata": {}, "source": [ "Molecules 1 and 2 have a larger common substructure, and probably most chemists would say that they are quite similar." ] }, { "cell_type": "markdown", "id": "cba662ec", "metadata": {}, "source": [ "## Graph-based similarity measures\n", "\n", "But other measures of similarity are also possible. For example, compare these two molecules:" ] }, { "cell_type": "code", "execution_count": 30, "id": "4c802f5f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mol4 = Chem.MolFromSmiles(\"C12CCCCC1CC3C(CCCC3)C2\")\n", "mol4" ] }, { "cell_type": "code", "execution_count": 31, "id": "bd231cb0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mol5 = Chem.MolFromSmiles(\"C12CCCCC1C3C(CCCC3)N2\")\n", "mol5" ] }, { "cell_type": "code", "execution_count": 32, "id": "262608b1", "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Chem.MolFromSmarts(rdFMCS.FindMCS([mol4, mol5]).smartsString)" ] }, { "cell_type": "markdown", "id": "b891c2c9", "metadata": {}, "source": [ "Their common substructure is basically restricted to one ring and a long chain, but it seems to us they have more in common than that. After all, they differ by a bond and one atom! Their graphs must be very close.\n", "\n", "We can actually use another metric of similarity, called the [**graph edit distance**](https://en.wikipedia.org/wiki/Graph_edit_distance), which is the number of changes you have to make to the molecular graph to get from one molecular to another. It can be [calculated by `networkx`](http://proteinsandwavefunctions.blogspot.com/2020/01/computing-graph-edit-distance-between.html):" ] }, { "cell_type": "code", "execution_count": 33, "id": "5b66ea16", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4.0" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def mol2graph(mol):\n", " atoms = [atom.GetAtomicNum() for atom in mol.GetAtoms()]\n", " am = Chem.GetAdjacencyMatrix(mol, useBO=True)\n", " return nx.from_numpy_array(am)\n", "\n", "nx.graph_edit_distance(mol2graph(mol4), mol2graph(mol5), edge_match=lambda a,b: a['weight'] == b['weight'])" ] }, { "cell_type": "markdown", "id": "9c706e1e", "metadata": {}, "source": [ "Can you see what are the 4 changes you have to make to the molecular graph to get from one molecular to the other?" ] }, { "cell_type": "markdown", "id": "758f452f", "metadata": {}, "source": [ "## Fingerprints and similarity\n", "\n", "The examples above are pretty “low-level” (or simple) definitions of molecular similarity. But we do not have to reinvent the wheel! Researchers have been working hard to define efficient measures of similarity between molecules, and the most common algorithms are already implemented in [RDKit](https://www.rdkit.org/docs/GettingStartedInPython.html#fingerprinting-and-molecular-similarity).\n", "\n", "Molecular fingerprints are a way of encoding the structure of a molecule. The most common type of fingerprint is a series of binary digits (bits), that are not directly interepretable." ] }, { "cell_type": "code", "execution_count": 34, "id": "6368e6da", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Chem.RDKFingerprint(mol1)" ] }, { "cell_type": "markdown", "id": "043c557d", "metadata": {}, "source": [ "We can, however, compare these fingerprints to calculate a measure of similarity between different molecules:" ] }, { "cell_type": "code", "execution_count": 35, "id": "597cfa9f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9017632241813602\n", "0.4268867924528302\n", "0.4368932038834951\n" ] }, { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def similarity(a, b):\n", " return DataStructs.FingerprintSimilarity(Chem.RDKFingerprint(a), Chem.RDKFingerprint(b))\n", "\n", "print(similarity(mol1, mol2))\n", "print(similarity(mol1, mol3))\n", "print(similarity(mol2, mol3))\n", "\n", "Draw.MolsToGridImage([mol1, mol2, mol3])" ] }, { "cell_type": "markdown", "id": "1cb81332", "metadata": {}, "source": [ "The numbers for similarity appear to agree with our intuition. We can extend them, and calculate a matrix of similarity between all possible pairs of molecules. We'll first calculate all the $n$ fingerprints, then all the similarities in an $n \\times n$ array." ] }, { "cell_type": "code", "execution_count": 36, "id": "d15e1b89", "metadata": {}, "outputs": [], "source": [ "fps = [Chem.RDKFingerprint(mol) for mol in molecules]\n", "\n", "n = len(molecules)\n", "simil = np.ndarray((n, n))\n", "for i in range(n):\n", " for j in range(i+1):\n", " simil[i,j] = DataStructs.FingerprintSimilarity(fps[i], fps[j])\n", " simil[j,i] = simil[i,j]" ] }, { "cell_type": "markdown", "id": "d625661c", "metadata": {}, "source": [ "We can plot it, every point on this graph is a value of similarity between two molecules (given on X and Y axes):" ] }, { "cell_type": "code", "execution_count": 37, "id": "5cbe3860", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = sns.heatmap(simil)" ] }, { "cell_type": "markdown", "id": "4313a3c9", "metadata": {}, "source": [ "We can clearly see that some molecules appear “grouped” together in the list (see the molecules around number 84). Some molecules look like they have very little in common with all others (around 148). Let look at molecules similar to number 82." ] }, { "cell_type": "code", "execution_count": 38, "id": "f38ca432", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "molecules[82]" ] }, { "cell_type": "code", "execution_count": 39, "id": "ae458524", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = sns.barplot(x=np.arange(n), y=simil[82])" ] }, { "cell_type": "markdown", "id": "46e335c1", "metadata": {}, "source": [ "We now select all molecules than have more than 0.7 similarity, and show them." ] }, { "cell_type": "code", "execution_count": 40, "id": "f2a51bcf", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l = [i for i in range(n) if simil[82,i] > 0.7]\n", "Draw.MolsToGridImage([molecules[i] for i in l])" ] }, { "cell_type": "markdown", "id": "5dfc146a", "metadata": {}, "source": [ "OK, it seems pretty clear what that they all share the same basic structure.\n", "\n", "We can then use that information about similarity to perform additional tasks. For example, we can try to select a small number of molecules that are chemically diverse from the set." ] }, { "cell_type": "code", "execution_count": 41, "id": "c2706ef0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[67, 109, 10, 135, 99, 162, 151, 0, 106, 137]\n" ] } ], "source": [ "# We need to provide a distance function. Choose dist = 1 - similarity\n", "def dist(i, j):\n", " return 1 - simil[i,j]\n", "\n", "picker = MaxMinPicker()\n", "pickIndices = picker.LazyPick(dist, n, 10, seed=42)\n", "print(list(pickIndices))" ] }, { "cell_type": "markdown", "id": "eba707c1", "metadata": {}, "source": [ "Let's have a look at the molecules that were picked:" ] }, { "cell_type": "code", "execution_count": 42, "id": "0fee5392", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Draw.MolsToGridImage([molecules[i] for i in pickIndices])" ] }, { "cell_type": "markdown", "id": "18e99cb1", "metadata": {}, "source": [ "We can display their similarity matrix, and see that it is low in all cases:" ] }, { "cell_type": "code", "execution_count": 43, "id": "d25bcedd", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = np.array([[simil[i,j] for j in pickIndices] for i in pickIndices])\n", "_ = sns.heatmap(m)" ] }, { "cell_type": "markdown", "id": "b6470102", "metadata": {}, "source": [ "If we exclude the diagonal (similarity of each molecule with itself is always equal to 1), the maximum value of similarity between two molecules in the set of 10 that was picked is:" ] }, { "cell_type": "code", "execution_count": 44, "id": "ce92c92d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.2952167414050822" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.max(np.abs(m - np.eye(10)))" ] }, { "cell_type": "markdown", "id": "c8a662bf", "metadata": {}, "source": [ "So they are indeed quite different (for the given measure of similarity that we have chosen)." ] }, { "cell_type": "markdown", "id": "27afb842", "metadata": {}, "source": [ "## Going further\n", "\n", "In this notebook, we have seen the basics of the exploration of chemical structures, the identification of chemical groups and the characterization of molecular similarity. There are several ways we could take this study further. One of the ideas would be to expand the notebook to load a larger list of molecules. The file `ApprovedDrugsLibrary.sdf` contains a list of all drugs approved by the FDA (US Food and Drug Administration), as of 2017. It contains 1800 molecules.\n", "\n", "Here are some ideas for you to continue this project:\n", "\n", "1. From the FDA approved drugs list, can you load the molecules, **explore their structures and properties**. What are the common chemical groups? How frequent is each functional group? What are the most common cycles and heterocycles?\n", "2. Using the FDA list, you can use unsupervised learning, and more specifically **clustering methods** (based on molecular fingerprints), to identify the different groups of similar molecules. What categories emerge? Can you classify the different drugs in this way?\n", "3. The list of molecules contains some information about their therapeutic use. Can you extract it, and compare the characteristics of different types of drugs?" ] }, { "cell_type": "code", "execution_count": null, "id": "d02bc6f6", "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": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 5 }