{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": "# Tautomers Tutorial\n\nThis tutorial demonstrates how to enumerate and rank tautomers using Auto3D.\n\n## CLI Quick Start (Recommended)\n\n```bash\n# Enable tautomer enumeration\nauto3d run molecules.smi --k=1 --enumerate-tautomer --gpu\n\n# With ANI2xt (designed for tautomers)\nauto3d run molecules.smi --k=1 --enumerate-tautomer --engine=ANI2xt --gpu\n\n# Configuration for tautomer analysis\ncat > tautomer.yaml << EOF\nenumerate_tautomer: true\ntauto_engine: rdkit\noptimizing_engine: ANI2xt\nmax_confs: 10\npatience: 200\nk: 1\nEOF\n\nauto3d run molecules.smi -c tautomer.yaml --gpu\n```\n\n---\n\n## Python API\n\nThe Jupyter Notebook can be downloaded [here](https://github.com/isayevlab/Auto3D_pkg/blob/main/example/tautomer.ipynb)" }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": "import os, sys\nroot = os.path.dirname(os.path.dirname(os.path.abspath(\"__file__\")))\n\nimport Auto3D\nprint(Auto3D.__version__)\nfrom Auto3D import Auto3DOptions\nfrom Auto3D.tautomer import get_stable_tautomers\n\nfrom rdkit import Chem\nfrom rdkit.Chem import Draw" }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Method\n", "\n", "Low-energy tautomers are identified using the following steps:\n", "1. Enumerate reasonable tautomers for each input SMILES;\n", "2. Get top `k` conformers for each tautomer;\n", "4. Group all conformers of all tautomers of the same SMILES together (shaded in yellow), select the top `tauto_k` conformers as the final stable tautomer 3D structures for the input SMILES.\n", "\n", "Please note the difference between two arguments: `k` and `tauto_k` (The difference between `window` and `tauto_window` are similar). The following figure demonstrate the difference between `k` and `tauto_k`.\n", "\n", "
\n", " \n", "
\"k\" is used to select conformers in the blue area; \"tauto_k\" is used to select the conformers in the yellow area.
\n", "
" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Example: Get Tautomers Using the Python Library Interface" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Since the tautomers are ranked based on their conformer energies, the 1st step is to generate conformers for all tautomers.\n", "\n", "The conformer generation step sets `max_confs=10` and `patience=200`. Because here we care more about the relative stabilities of tautomers, 10 conformers from each tautomer would be a good representation whereas maintaining high efficiency. You need to set `max_confs` and `patience` to larger values to get more precise energy difference between tautomers. \n", "\n", "`get_stable_tautomer` function directly accepts the arguments from the `options` function. In addition, `get_stable_tautomer` also needs either `tatuo_k` or `tauto_window` for tautomer selection. The tautomers are saved in the output SDF file. Internally, the `get_stable_tautomer` function calls the `main` function to get 3D conformers and then selecte stable tautomers." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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", "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Let's look at the molecule that we are going to investigate\n", "# We want to know the relative stability of tautomers of this molecule\n", "input_path = os.path.join(root, \"example\", \"files\", \"sildnafil.smi\")\n", "mol = next(Chem.SmilesMolSupplier(input_path, titleLine=False))\n", "mol.__sssAtoms = [8, 9, 10, 11, 12]\n", "Draw.MolToImage(mol, size=(400, 300), highlightAtoms=[8, 10, 12])\n", "# Note the highlighted atoms (N, N, O), this is where the proton transfer happens." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": "# Get the 3D conformers for input SMILES\nif __name__ == \"__main__\":\n config = Auto3DOptions(\n path=input_path, k=1, enumerate_tautomer=True, tauto_engine=\"rdkit\",\n optimizing_engine=\"ANI2xt\", # ANI2xt is NNP designed for tautomers\n max_confs=10, patience=200, use_gpu=False\n )\n tautomer_out = get_stable_tautomers(config, tauto_k=3)" }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output of the `get_stable_tautomers` function is stored as an SDF file, you can visualize it with other softwares. Below we just load the conformers using `rdkit` and visualize them." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# visualize the tautomers for sildnafil and their relative energies\n", "tautomers = list(Chem.SDMolSupplier(tautomer_out))\n", "ids = [mol.GetProp('ID') for mol in tautomers]\n", "relative_es = [mol.GetProp('E_tautomer_relative(kcal/mol)') for mol in tautomers]\n", "legends = [ids[i] + '\\n' + relative_es[i][:5] for i in range(len(tautomers))]\n", "\n", "Draw.MolsToGridImage(tautomers, legends=legends, subImgSize=(400, 300), highlightAtomLists=[[9, 10, 31] for _ in range(3)])\n", "# the following is a projection of 3D tautomers into a 2D figure" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can see the relative stability of the tautomers of sildnafil." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": "## 3. CLI Alternative\n\nFor command-line usage, Auto3D provides built-in tautomer support:" }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": "### Using Configuration File\n\n```bash\n# Create tautomer configuration\ncat > tautomer.yaml << EOF\nenumerate_tautomer: true\ntauto_engine: rdkit\noptimizing_engine: ANI2xt\nmax_confs: 10\npatience: 200\nk: 1\nuse_gpu: true\nEOF\n\n# Run with configuration\nauto3d run input.smi -c tautomer.yaml\n```" }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": "### Direct CLI Command" }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": "```bash\n# Basic tautomer enumeration\nauto3d run input.smi --k=1 --enumerate-tautomer --gpu\n\n# With ANI2xt (recommended for tautomers)\nauto3d run input.smi --k=1 --enumerate-tautomer --engine=ANI2xt --gpu\n\n# Keep top 3 tautomers per molecule\nauto3d run input.smi --k=3 --enumerate-tautomer --engine=ANI2xt --gpu\n```\n\nFor advanced tautomer analysis with the Python API (e.g., to use `tauto_k` parameter), see the `get_stable_tautomers` function demonstrated above." } ], "metadata": { "kernelspec": { "display_name": "py39", "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": "3.9.17" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "1b614daab3e5f7b6a193b72cc0b083bb669e7ee1c6a77737086e3d4b842fe95b" } } }, "nbformat": 4, "nbformat_minor": 2 }