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698b475..0000000 Binary files a/showcase/openFE_logo3.png and /dev/null differ diff --git a/showcase/usrse_showcase.ipynb b/showcase/usrse_showcase.ipynb new file mode 100644 index 0000000..e04624c --- /dev/null +++ b/showcase/usrse_showcase.ipynb @@ -0,0 +1,1763 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "cb0d308b-8f50-4ac9-a8a3-550d8a2e3feb", + "metadata": {}, + "source": [ + "    \n", + " \n", + "# Open Free Energy: An Open Source Ecosystem for Calculating Free Energies" + ] + }, + { + "cell_type": "markdown", + "id": "8eea1a56-3241-4ccf-9d3a-88de6bbf0e0e", + "metadata": {}, + "source": [ + "## The ``Hello, World!`` of Free Energy Calculations\n", + "\n", + "\n", + "The OpenFE ecosystem is an open-source framework for calculating alchemical free energies.\n", + "\n", + "In this demo, we will demonstrate how you can use either the CLI or Python API to execute physics-based simulations and predict the relative binding free energy (RBFE) of a ligand binding to a protein.\n", + "\n", + "Specifically, we will be predicting which ligand from a set of candidates binds best to a target protein. We will be using TYK2 (Tyrosine kinase 2) as our target protein, which can be thought of as the \"Hello, World\" of free energy calculations.\n", + "\n", + "For convenience, a prepared (capped and protonated) PDB structure of the\n", + "TYK2 protein is provided under `inputs/tyk2_protein.pdb`:\n", + "
\n", + " \"TYK2\n", + " \n", + "
" + ] + }, + { + "cell_type": "markdown", + "id": "a7006905-ca5e-4d2a-93be-815b029f56eb", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "## Overview\n", + "RBFE calculations can be thought of as 3 distinct steps:\n", + "\n", + " 1. **Setup**: construct a graph relating the ligands\n", + " 2. **Run**: execute a physics-based simulation\n", + " 3. **Gather**: compute meaningful metrics from the simulation data\n", + "\n", + "Each stage is supported by the OpenFE software packages, but everything can be accessed from the base **openfe** package.\n", + "\n", + "\n", + "\n", + "**NOTE**: OpenFE's RBFE protocol uses [OpenMM](https://openmm.org/) as the physics based simulation engine.\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "28f40a29-4ddd-4f25-8c08-154bb3139bb3", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "## Outline\n", + "\n", + "0. Setup for Google Colab \n", + "1. Quick Start: Relative Free Energies with the OpenFE CLI\n", + "2. Setup \n", + " 2.1. Loading Ligands and Defining Ligand Atom Mappings \n", + " 2.2. Creating a ligand network \n", + " 2.3. Defining ChemicalSystems \n", + " 2.4. Defining the RBFE simulation settings and protocol \n", + "3. Running a Relative Ligand Binding Free Energy Calculation \n", + " 3.1. Using the Python API \n", + " 3.2. Using the CLI \n", + "4. Gather & Analysis" + ] + }, + { + "cell_type": "markdown", + "id": "AUgaKFN7eCt5", + "metadata": { + "id": "AUgaKFN7eCt5", + "jp-MarkdownHeadingCollapsed": true, + "nbsphinx": "hidden" + }, + "source": [ + "# 0. Setup for Google Colab\n", + "\n", + "If you are running this example in Google Colab, run the following cells to setup the environment.\\\n", + "If you are running this notebook locally, skip down to `1. Quick Start`" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "-jX9udRGehD3", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "-jX9udRGehD3", + "nbsphinx": "hidden", + "outputId": "78a0d40d-a6d2-4a93-a041-406a8cb551b9", + "tags": [] + }, + "outputs": [], + "source": [ + "# NBVAL_SKIP\n", + "# Only run this cell if on google colab\n", + "import os\n", + "import locale\n", + "locale.getpreferredencoding = lambda: \"UTF-8\" # hack for google colab, not needed for local execution\n", + "\n", + "if \"COLAB_RELEASE_TAG\" in os.environ:\n", + " !pip install -q condacolab\n", + " import condacolab\n", + " condacolab.install_from_url(\"https://github.com/OpenFreeEnergy/openfe/releases/download/v1.6.0/OpenFEforge-1.6.0-Linux-x86_64.sh\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "dlCARZ2_fAI4", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "dlCARZ2_fAI4", + "nbsphinx": "hidden", + "outputId": "d528f4dc-5105-4288-ea08-9b2e75d442ff", + "tags": [] + }, + "outputs": [], + "source": [ + "# NBVAL_SKIP\n", + "# Only run this cell if on google colab\n", + "import os\n", + "if \"COLAB_RELEASE_TAG\" in os.environ:\n", + " import condacolab\n", + " import locale\n", + " locale.getpreferredencoding = lambda: \"UTF-8\"\n", + " !mkdir inputs && cd inputs && openfe fetch rbfe-tutorial\n", + " for _ in range(3):\n", + " # Sometimes we have to re-run the check\n", + " try:\n", + " condacolab.check()\n", + " except:\n", + " pass\n", + " else:\n", + " break" + ] + }, + { + "cell_type": "markdown", + "id": "524015c7-6c42-4b84-98b9-361c17945fbe", + "metadata": {}, + "source": [ + "# 1. Relative Binding Free Energies with the **openfe** CLI" + ] + }, + { + "cell_type": "markdown", + "id": "11074a41-2827-48c5-9493-e0e4e2d94838", + "metadata": {}, + "source": [ + "First, we'll show how you can run a basic RBFE campaign with no Python at all!\n", + "\n", + "The 3 stages described above each correspond to a CLI command:\n", + "\n", + "**1. setup**:``openfe plan-rbfe-network``\n", + "\n", + "**2. run** ``openfe quickrun``\n", + "\n", + "**3. gather** ``openfe gather``\n", + "\n", + "All you need is your target protein in `.pdb` format, and your candidate ligands in `.sdf` format." + ] + }, + { + "cell_type": "markdown", + "id": "68cc5f26-71e2-4135-b72b-6c5a4a1d4072", + "metadata": {}, + "source": [ + "## 1.1 Setup\n", + "\n", + "The `openfe plan-rbfe-network` command plans a relative binding free energy network and saves it as a series of JSON files for the `openfe quickrun` command to process.\n", + "\n", + "Since the CLI tool is a wrapper intended for the simplest cases, it chooses pratical defaults so that you don't have to define them. \n", + "\n", + "\n", + "These choices can be customized by creating a settings yaml file, which is\n", + "passed in via the ``-s settings.yaml`` option. For more details, please visit our user guide section about [Customising CLI planning with YAML settings](https://docs.openfree.energy/en/latest/guide/cli/cli_yaml.html)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "adab478b-ec1a-4c9c-a110-3d1ba5bfa7c6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RBFE-NETWORK PLANNER\n", + "______________________\n", + "\n", + "Parsing in Files: \n", + "\tGot input: \n", + "\t\tSmall Molecules: SmallMoleculeComponent(name=lig_ejm_31) SmallMoleculeComponent(name=lig_ejm_42) SmallMoleculeComponent(name=lig_ejm_46) SmallMoleculeComponent(name=lig_ejm_43) SmallMoleculeComponent(name=lig_ejm_47) SmallMoleculeComponent(name=lig_ejm_50) SmallMoleculeComponent(name=lig_jmc_23) SmallMoleculeComponent(name=lig_ejm_48) SmallMoleculeComponent(name=lig_jmc_27) SmallMoleculeComponent(name=lig_jmc_28)\n", + "\t\tProtein: ProteinComponent(name=)\n", + "\t\tCofactors: []\n", + "\t\tSolvent: SolventComponent(name=O, Na+, Cl-)\n", + "\n", + "Using Options:\n", + "\tMapper: \n", + "\tMapping Scorer: \n", + "\tNetwork Generation: \n", + "\tPartial Charge Generation: am1bcc\n", + "\n", + "\tn_protocol_repeats=3 (3 simulation repeat(s) per transformation)\n", + "\n", + "Planning RBFE-Campaign:\n", + "assigning ligand partial charges -- this may be slow\n", + "Generating charges: 100%|██████████████████████| 10/10 [00:00<00:00, 343.55it/s]\n", + "\tDone\n", + "\n", + "Output:\n", + "\tSaving to: /Users/atravitz/software/OpenFE_ExampleNotebooks/showcase/tyk2_campaign\n", + "\t\t- tyk2_campaign.json\n", + "\t\t- ligand_network.graphml\n", + "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_48_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_47_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_46_solvent_lig_jmc_28_solvent.json\n", + "\t\t\t\t- rbfe_lig_jmc_23_complex_lig_jmc_28_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_46_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_48_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_42_solvent_lig_ejm_43_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_42_solvent_lig_ejm_50_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_46_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_50_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_42_complex_lig_ejm_43_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_50_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_42_complex_lig_ejm_50_complex.json\n", + "\t\t\t\t- rbfe_lig_jmc_23_solvent_lig_jmc_28_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_46_complex_lig_jmc_28_complex.json\n", + "\t\t\t\t- rbfe_lig_jmc_27_complex_lig_jmc_28_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_47_solvent.json\n", + "\t\t\t\t- rbfe_lig_jmc_27_solvent_lig_jmc_28_solvent.json\n", + "\tDuration: 0:00:04.774242\n", + "\n" + ] + } + ], + "source": [ + "# note, we use ligands with charges already assigned to speed up this step, but this is optional\n", + "! openfe plan-rbfe-network -M inputs/tyk2_ligands_charged.sdf -p inputs/tyk2_protein.pdb -o tyk2_campaign" + ] + }, + { + "cell_type": "markdown", + "id": "5846fc42-a9db-4e3c-ae43-44a1b46ffb7c", + "metadata": {}, + "source": [ + "### visualizing the network\n", + "\n", + "We can visualize the network stored in `ligand_network.graphml` using the `openfe view-ligand-network` command:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b2a267ce-af88-4d2f-85fa-86ee555d7acd", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ligand_network.graphml \u001b[1m\u001b[36mtransformations\u001b[m\u001b[m tyk2_campaign.json\n" + ] + } + ], + "source": [ + "! ls tyk2_campaign/" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "6301d1b8-f7f1-4812-bf45-84311757fe81", + "metadata": {}, + "outputs": [], + "source": [ + "!openfe view-ligand-network tyk2_campaign/ligand_network.graphml" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "b399caea-2753-49f7-aa5c-94288859bbf1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "rbfe_lig_ejm_31_complex_lig_ejm_46_complex.json\n", + "rbfe_lig_ejm_31_complex_lig_ejm_47_complex.json\n", + "rbfe_lig_ejm_31_complex_lig_ejm_48_complex.json\n", + "rbfe_lig_ejm_31_complex_lig_ejm_50_complex.json\n", + "rbfe_lig_ejm_31_solvent_lig_ejm_46_solvent.json\n", + "rbfe_lig_ejm_31_solvent_lig_ejm_47_solvent.json\n", + "rbfe_lig_ejm_31_solvent_lig_ejm_48_solvent.json\n", + "rbfe_lig_ejm_31_solvent_lig_ejm_50_solvent.json\n", + "rbfe_lig_ejm_42_complex_lig_ejm_43_complex.json\n", + "rbfe_lig_ejm_42_complex_lig_ejm_50_complex.json\n", + "rbfe_lig_ejm_42_solvent_lig_ejm_43_solvent.json\n", + "rbfe_lig_ejm_42_solvent_lig_ejm_50_solvent.json\n", + "rbfe_lig_ejm_46_complex_lig_jmc_28_complex.json\n", + "rbfe_lig_ejm_46_solvent_lig_jmc_28_solvent.json\n", + "rbfe_lig_jmc_23_complex_lig_jmc_28_complex.json\n", + "rbfe_lig_jmc_23_solvent_lig_jmc_28_solvent.json\n", + "rbfe_lig_jmc_27_complex_lig_jmc_28_complex.json\n", + "rbfe_lig_jmc_27_solvent_lig_jmc_28_solvent.json\n" + ] + } + ], + "source": [ + "! ls tyk2_campaign/transformations/" + ] + }, + { + "cell_type": "markdown", + "id": "26fef157-6989-406d-b719-0ed597ef820e", + "metadata": {}, + "source": [ + "## 1.2 Run\n", + "\n", + "You can run each leg individually by using the `openfe quickrun` command. It takes a transformation JSON as input, and the flags `-o` to give the final output JSON file and `-d` for the directory where simulation results should be stored. For example,\n", + "\n", + "```bash\n", + "openfe quickrun tyk2_json/lig_ejm_31_lig_ejm_47_complex.json -o results_complex.json -d working-directory\n", + "openfe quickrun tyk2_json/lig_ejm_31_lig_ejm_47_solvent.json -o results_solvent.json -d working-directory\n", + "```" + ] + }, + { + "cell_type": "markdown", + "id": "5f59eb75-25db-440c-9f2f-d5466376e635", + "metadata": {}, + "source": [ + "Molecular simulation is time-intensive, so instead of running on high-performance compute, you can copy down example results to explore the next step:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "57967b12-ac89-402a-9387-b016bf9e3c5e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fetching /Users/atravitz/micromamba/envs/openfe_conda/lib/python3.13/site-packages/openfecli/tests/data/rbfe_results.tar.gz\n" + ] + } + ], + "source": [ + "# Results from our cli tutorial\n", + "!openfe fetch rbfe-tutorial-results\n", + "# Extract results\n", + "!tar -xf rbfe_results.tar.gz" + ] + }, + { + "cell_type": "markdown", + "id": "2c2cd9c7-123c-4568-849c-084f1838d147", + "metadata": {}, + "source": [ + "## 1.3 Gather\n", + "\n", + "Once the simulations are complete, you can use `openfe gather` to calculate the $\\Delta G$ values for each ligand:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "888eb307-1dc7-472e-afde-b6061f3e9aad", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "┌─────────┬────────────┬────────────┬─────────────────────┬────────────────────┐\n", + "│\u001b[1m \u001b[0m│\u001b[1m \u001b[0m│\u001b[1m \u001b[0m│\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mMBAR uncertainty \u001b[0m\u001b[1m \u001b[0m│\n", + "│\u001b[1m \u001b[0m\u001b[1mleg \u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mligand_i \u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mligand_j \u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mDG(i->j) (kcal/mol)\u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1m(kcal/mol) \u001b[0m\u001b[1m \u001b[0m│\n", + "├─────────┼────────────┼────────────┼─────────────────────┼────────────────────┤\n", + "│ complex │ lig_ejm_31 │ lig_ejm_42 │ -14.8 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_42 │ -14.9 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_42 │ -15.1 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_42 │ -15.7 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_42 │ -15.7 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_42 │ -15.7 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_46 │ -40.7 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_46 │ -40.7 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_46 │ -40.8 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_46 │ -39.8 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_46 │ -39.9 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_46 │ -39.8 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_47 │ -27.7 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_47 │ -27.8 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_47 │ -28.0 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_47 │ -27.8 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_47 │ -27.8 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_47 │ -27.9 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_48 │ -16.2 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_48 │ -16.0 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_48 │ -16.2 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_48 │ -16.8 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_48 │ -16.8 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_48 │ -16.7 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_50 │ -57.3 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_50 │ -57.4 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_50 │ -57.3 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_50 │ -58.3 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_50 │ -58.4 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_50 │ -58.3 │ 0.8 │\n", + "│ complex │ lig_ejm_42 │ lig_ejm_43 │ -18.7 │ 0.8 │\n", + "│ complex │ lig_ejm_42 │ lig_ejm_43 │ -19.0 │ 0.8 │\n", + "│ complex │ lig_ejm_42 │ lig_ejm_43 │ -19.0 │ 0.8 │\n", + "│ solvent │ lig_ejm_42 │ lig_ejm_43 │ -20.3 │ 0.8 │\n", + "│ solvent │ lig_ejm_42 │ lig_ejm_43 │ -20.3 │ 0.8 │\n", + "│ solvent │ lig_ejm_42 │ lig_ejm_43 │ -20.3 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_23 │ 17.5 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_23 │ 17.3 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_23 │ 17.4 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_23 │ 17.1 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_23 │ 17.1 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_23 │ 17.2 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_27 │ 15.7 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_27 │ 15.8 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_27 │ 15.9 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_27 │ 16.0 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_27 │ 15.9 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_27 │ 15.9 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_28 │ 23.2 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_28 │ 23.1 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_28 │ 23.1 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_28 │ 23.4 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_28 │ 23.3 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_28 │ 23.5 │ 0.8 │\n", + "└─────────┴────────────┴────────────┴─────────────────────┴────────────────────┘\n" + ] + } + ], + "source": [ + "!openfe gather results/ --report raw" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "b117bae2-6a68-4e67-8971-e44f4f862d10", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "┌────────────┬────────────────────┬────────────────────────┐\n", + "│\u001b[1m \u001b[0m\u001b[1mligand \u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mDG(MLE) (kcal/mol)\u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1muncertainty (kcal/mol)\u001b[0m\u001b[1m \u001b[0m│\n", + "├────────────┼────────────────────┼────────────────────────┤\n", + "│ lig_ejm_31 │ -0.09 │ 0.05 │\n", + "│ lig_ejm_42 │ 0.7 │ 0.1 │\n", + "│ lig_ejm_46 │ -0.98 │ 0.05 │\n", + "│ lig_ejm_47 │ -0.1 │ 0.1 │\n", + "│ lig_ejm_48 │ 0.53 │ 0.09 │\n", + "│ lig_ejm_50 │ 0.91 │ 0.06 │\n", + "│ lig_ejm_43 │ 2.0 │ 0.2 │\n", + "│ lig_jmc_23 │ -0.68 │ 0.09 │\n", + "│ lig_jmc_27 │ -1.1 │ 0.1 │\n", + "│ lig_jmc_28 │ -1.25 │ 0.08 │\n", + "└────────────┴────────────────────┴────────────────────────┘\n" + ] + } + ], + "source": [ + "!openfe gather results/ " + ] + }, + { + "cell_type": "markdown", + "id": "14ade1f0", + "metadata": { + "id": "14ade1f0" + }, + "source": [ + "# 2. Into the API" + ] + }, + { + "cell_type": "markdown", + "id": "5962dec2-d9ef-475d-8086-ee15954e81f6", + "metadata": {}, + "source": [ + "## 2.1: Setup\n" + ] + }, + { + "cell_type": "markdown", + "id": "4b57734f-dde7-4e5c-a61c-f3e9d275c5de", + "metadata": {}, + "source": [ + "### 2.1.1: Loading Ligands and Defining Ligand Atom Mappings" + ] + }, + { + "cell_type": "markdown", + "id": "2f7e5f37-3efb-4aa7-b893-eb1411b65082", + "metadata": {}, + "source": [ + "#### Creating OpenFE SmallMoleculeComponents\n", + "\n", + "To keep track of the various inputs being passed through the OpenFE\n", + "toolkit, OpenFE implements a set of [Components](https://gufe.openfree.energy/en/latest/concepts/included_models.html#component) which define the proteins,\n", + "small molecules, and solvent components of a chemical system.\n", + "\n", + "Here we use the [SmallMoleculeComponent](https://github.com/OpenFreeEnergy/gufe/blob/main/gufe/components/smallmoleculecomponent.py)\n", + "which can be defined from [RDKit molecules](https://www.rdkit.org/docs/source/rdkit.Chem.rdmolfiles.html)\n", + "or [OpenFF molecules](https://open-forcefield-toolkit.readthedocs.io/en/0.9.2/api/generated/openff.toolkit.topology.Molecule.html).\n", + "\n", + "In the backend, OpenFE uses RDKit molecules as the central representation\n", + "of the ligands, and uses the OpenFF toolkit to convert between objects from\n", + "various toolchains (for example [OpenEye's OEMol](https://docs.eyesopen.com/toolkits/python/oechemtk/OEChemClasses/OEMol.html)).\n", + "\n", + "Here we demonstrate how to load the ligands from `inputs/tyk2_ligands.sdf` into a\n", + "list of OpenFE `SmallMoleculeComponent`s for further processing." + ] + }, + { + "cell_type": "markdown", + "id": "fbc94d04-5d68-4123-82b2-97a1b8872375", + "metadata": {}, + "source": [ + "Load ligands using RDKit:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "4096ce97", + "metadata": { + "id": "4096ce97" + }, + "outputs": [], + "source": [ + "from openfe import SmallMoleculeComponent\n", + "from rdkit import Chem\n", + "\n", + "# Load ligands using RDKit\n", + "ligands_sdf = Chem.SDMolSupplier('inputs/tyk2_ligands.sdf', removeHs=False)\n", + "\n", + "# Now pass these to form a list of Molecules\n", + "ligand_mols = [SmallMoleculeComponent(sdf) for sdf in ligands_sdf]" + ] + }, + { + "cell_type": "markdown", + "id": "044045af-020c-4926-b295-0c9db5bd6a0c", + "metadata": {}, + "source": [ + "Load ligands using the OpenFF toolkit:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "b5e5b538-4847-42f5-b29e-6e1f25bbbeed", + "metadata": {}, + "outputs": [], + "source": [ + "from openff.toolkit import Molecule\n", + "from openfe import SmallMoleculeComponent\n", + "\n", + "# Load ligands using OpenFF toolkit\n", + "ligands_sdf = Molecule.from_file('inputs/tyk2_ligands.sdf')\n", + "\n", + "# Now pass these to form a list of Molecules\n", + "ligand_mols = [SmallMoleculeComponent.from_openff(sdf) for sdf in ligands_sdf]\n" + ] + }, + { + "cell_type": "markdown", + "id": "3a8d5433", + "metadata": { + "id": "3a8d5433" + }, + "source": [ + "OpenFE `SmallMoleculeComponent`s have some useful built-in attributes and methods.\n", + "\n", + "For example, the molecule's name (as defined by the SDF file) can be accessed:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "faacbebb", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "faacbebb", + "outputId": "bc0ad1d9-72ad-49d0-e322-61b2a87d5301" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "name: lig_ejm_31\n" + ] + } + ], + "source": [ + "print(\"name: \", ligand_mols[0].name)" + ] + }, + { + "cell_type": "markdown", + "id": "b24a3ffa", + "metadata": { + "id": "b24a3ffa" + }, + "source": [ + "As previously stated, `SmallMoleculeComponent`s also use the OpenFF backend to allow conversion between different object types.\n", + "\n", + "For example, it's possible to obtain an OpenFF representation of a Molecule:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "29b7c68a", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "29b7c68a", + "outputId": "39e7a77a-d2b8-49d2-8f70-fd8118845a99" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(openff.toolkit.topology.molecule.Molecule,\n", + " Molecule with name 'lig_ejm_31' and SMILES '[H][c]1[n][c]([N]([H])[C](=[O])[C]([H])([H])[H])[c]([H])[c]([N]([H])[C](=[O])[c]2[c]([Cl])[c]([H])[c]([H])[c]([H])[c]2[Cl])[c]1[H]',\n", + " SmallMoleculeComponent(name=lig_ejm_31))" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(ligand_mols[0].to_openff()), ligand_mols[0].to_openff(), ligand_mols[0]" + ] + }, + { + "cell_type": "markdown", + "id": "9e72bee2-bcb3-466f-86e7-8b51c8932aa7", + "metadata": {}, + "source": [ + "### 2.1.2: Ligand Atom Mapping" + ] + }, + { + "cell_type": "markdown", + "id": "3128085c-db8a-4a70-89ef-0fde956fdb40", + "metadata": {}, + "source": [ + "In the [RBFE protocol](https://docs.openfree.energy/en/latest/guide/protocols/relativehybridtopology.html) , an atom mapping defines which atoms are mutated during the alchemical transformation.\n", + "The user can choose between two different atom S:\n", + "1. `LomapAtomMapper`: based on the maximum common substructure (MCS)\n", + "2. `KartografAtomMapper`: based on the 3D geometries of the ligands\n", + "\n", + "While we use the defaults here, please note that any supported arguments of Lomap and Kartograf can be passed to the atom mapper." + ] + }, + { + "cell_type": "markdown", + "id": "1eec9783-4620-43ff-8ef7-a647fd6f54ac", + "metadata": {}, + "source": [ + "**1. `LomapAtomMapper`** " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "01384f2a-99ce-400d-a988-82fd393c4ee5", + "metadata": {}, + "outputs": [], + "source": [ + "from openfe.setup import LomapAtomMapper\n", + "mapper = LomapAtomMapper()\n", + "lomap_mapping = next(mapper.suggest_mappings(ligand_mols[0], ligand_mols[4]))" + ] + }, + { + "cell_type": "markdown", + "id": "140f4e46-a58b-425d-b9cf-ab62078fc050", + "metadata": {}, + "source": [ + "We can also visualize the atom mappings by invoking the individual OpenFE `AtomMapping` objects directly.\n", + "\n", + "Unique atoms between each mapping are shown in red, and atoms which are mapped but undergo element changes are shown in blue. Bonds which either involve atoms that are unique or undergo element changes are highlighted in red." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "00fb84d6-9fa7-4114-96e5-c656ad6f3a3f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# We can display the atom mapping in 2D by calling it\n", + "lomap_mapping" + ] + }, + { + "cell_type": "markdown", + "id": "d3f10c24-e50c-46da-b8d5-8de1f3efae90", + "metadata": {}, + "source": [ + "It is also possible to visualize the mapping in 3D using py3dmol:\n", + "\n", + "Here, the ``visualization_3D`` method displays the two end state molecules (left and right), in addition to the hybrid molecule (middle).\n", + "\n", + "Atoms that have the same sphere color in both end states are mapped (i.e. will be interpolated between each other), whilst those that do not have a coloured sphere are unmapped (i.e. will be transformed into dummy atoms in the opposite end state)." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "bbcfd2e2-a50e-4398-85d1-f80b01597720", + "metadata": {}, + "outputs": [ + { + "data": { + "application/3dmoljs_load.v0": "
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\n", + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Visualize the mapping in 3D\n", + "from openfe.utils import visualization_3D\n", + "\n", + "visualization_3D.view_mapping_3d(lomap_mapping, show_atomIDs=True)" + ] + }, + { + "cell_type": "markdown", + "id": "f21bf9e5-6cb8-41c1-b0fd-e70ee2e71852", + "metadata": {}, + "source": [ + "**2. `KartografAtomMapper`**\n", + "\n", + "We can also use the `KartografAtomMapper` which is based on the 3D geometries of the ligands." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "c710a20e-2098-461f-8fa6-5e44b19ad6aa", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:\t#################################\n", + "INFO:\tMap Heavy Atoms \n", + "INFO:\t#################################\n", + "INFO:\tMasking Atoms\n", + "INFO:\tBuild Distance Matrix\n", + "INFO:\tCalculate Mapping\n", + "INFO:\tFind Maximal overlapping connected sets of mapped atoms\n", + "INFO:\t#################################\n", + "INFO:\tMap Hydrogen Atoms: \n", + "INFO:\t#################################\n", + "INFO:\tMasking Atoms\n", + "INFO:\tBuild Distance Matrix\n", + "INFO:\tCalculate Mapping\n", + "INFO:\tFind Maximal overlapping connected sets of mapped atoms\n", + "INFO:\tFiltering bond breaks\n" + ] + } + ], + "source": [ + "from kartograf import KartografAtomMapper\n", + "# Build Kartograf Atom Mapper\n", + "mapper = KartografAtomMapper(atom_map_hydrogens=True)\n", + "\n", + "# Get Mapping\n", + "kartograf_mapping = next(mapper.suggest_mappings(ligand_mols[0], ligand_mols[4]));" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "56117a03-6503-4317-9364-27e343a4911e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# We can display the atom mapping in 2D by calling it\n", + "kartograf_mapping" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "aaeca570-9d15-4136-9b76-5a7b9f57e2c2", + "metadata": {}, + "outputs": [ + { + "data": { + "application/3dmoljs_load.v0": "
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from external software (FEP+ or Orion)\n", + "* Loading in a user-defined network\n", + "\n", + "In this section, we will create and visualize the MST, LOMAP, and radial networks for the TYK2 dataset.\n", + "\n", + "Here, we will be using the `LomapAtomMapper` as the atom mapper for all networks." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "5b89da93", + "metadata": { + "collapsed": true, + "id": "5b89da93", + "jupyter": { + "outputs_hidden": true + }, + "scrolled": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:\tTrying to remove edge 0-2 with similarity 0.818731\n", + "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", + "INFO:\tRemoved edge 0-2\n", + "INFO:\tTrying to remove edge 2-6 with similarity 0.860708\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 0-1 with similarity 0.904837\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 0-6 with similarity 0.904837\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 1-2 with similarity 0.904837\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 1-6 with similarity 0.951229\n", + "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", + "INFO:\tRemoved edge 1-6\n", + "INFO:\tTrying to remove edge 8-3 with similarity 0.904837\n", + "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", + "INFO:\tRemoved edge 8-3\n", + "INFO:\tTrying to remove edge 9-3 with similarity 0.904837\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 3-7 with similarity 0.904837\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 8-7 with similarity 0.951229\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 8-9 with similarity 0.951229\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 9-7 with similarity 0.951229\n", + "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", + "INFO:\tRemoved edge 9-7\n" + ] + } + ], + "source": [ + "# Create network from the two molecules\n", + "import openfe\n", + "from openfe.setup.ligand_network_planning import generate_radial_network\n", + "from openfe.setup.ligand_network_planning import generate_minimal_spanning_network\n", + "from openfe.setup.ligand_network_planning import generate_lomap_network\n", + "from openfe.setup import LomapAtomMapper\n", + "\n", + "# Create an MST network\n", + "mst_network = generate_minimal_spanning_network(\n", + " ligands=ligand_mols,\n", + " scorer=openfe.lomap_scorers.default_lomap_score,\n", + " mappers=[LomapAtomMapper(),]);\n", + "\n", + "# Create a LOMAP network\n", + "lomap_network = generate_lomap_network(\n", + " ligands=ligand_mols,\n", + " scorer=openfe.lomap_scorers.default_lomap_score,\n", + " mappers=[LomapAtomMapper(),]);" + ] + }, + { + "cell_type": "markdown", + "id": "41cd9718-0c2e-4b59-86ee-8dc429915de1", + "metadata": {}, + "source": [ + "We can plot out the different networks to visualize their structure and to see how ligands are being transformed." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "78a2ef98-1d8a-41f1-94bf-c743c0d9afd8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from konnektor.visualization import draw_ligand_network\n", + "import matplotlib.pyplot as plt\n", + "fig, ax = plt.subplots(ncols=2, figsize=(20,10), dpi=120, squeeze=True)\n", + "draw_ligand_network(mst_network,node_size=4400, fontsize=26, title=\"Minimal Spanning Tree\",ax=ax[0]);\n", + "draw_ligand_network(lomap_network,node_size=4400, fontsize=26, title=\"LOMAP network\", ax=ax[1]);\n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "711d73bc-519f-4b81-9daf-c7594c7bbf8f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from rdkit import Chem\n", + "from rdkit.Chem import AllChem\n", + "from rdkit.Chem import Draw\n", + "\n", + "# Extract the contents of the sdf file and visualise it\n", + "ligands_rdmol = [mol for mol in\n", + " Chem.SDMolSupplier('inputs/tyk2_ligands.sdf', removeHs=False)]\n", + "\n", + "for ligand in ligands_rdmol:\n", + " AllChem.Compute2DCoords(ligand)\n", + "\n", + "Chem.Draw.MolsToGridImage(ligands_rdmol, molsPerRow=5)" + ] + }, + { + "cell_type": "markdown", + "id": "2a280ffb-0a71-48ad-b4ec-9374f4460c80", + "metadata": {}, + "source": [ + "Edges along the network can be accessed to recover the individual molecules involved in a given alchemical tranformation and the atom mapping between the two ligands. \n", + "\n", + "**Note: as can be seen in the example below, transformations are defined within OpenFE as going from componentA to componentB**" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "ad80c243-82d7-4599-a4a6-5d651c662f24", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "molecule A smiles: O=C(Nc1ccnc(NC(=O)[C@H]2C[C@H]2Cl)c1)c1c(Cl)cccc1Cl\n", + "molecule B smiles: C[C@@H]1C[C@@H]1C(=O)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", + "map between molecule A and B: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7, 8: 8, 9: 9, 10: 10, 11: 11, 12: 12, 13: 13, 14: 14, 15: 15, 16: 16, 17: 17, 18: 18, 19: 19, 20: 20, 21: 21, 22: 22, 23: 23, 24: 24, 25: 25, 26: 26, 27: 27, 28: 28, 29: 29, 30: 30, 31: 34, 32: 35, 33: 36, 34: 37, 35: 38}\n" + ] + } + ], + "source": [ + "mst_edges = [edge for edge in mst_network.edges]\n", + "\n", + "# Pick an edge\n", + "edge = mst_edges[1]\n", + "\n", + "# Print the smiles of the molecules and the mapping\n", + "print(\"molecule A smiles: \", edge.componentA.smiles)\n", + "print(\"molecule B smiles: \", edge.componentB.smiles)\n", + "print(\"map between molecule A and B: \", edge.componentA_to_componentB)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "9f92262f", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 317 + }, + "id": "9f92262f", + "outputId": "d8dc47c7-c487-4f78-9e19-c388ef6a7c51" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# We can display the atom mapping of an edge by calling it\n", + "edge" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "66dd7d32", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 317 + }, + "id": "66dd7d32", + "outputId": "13a421f2-ce17-49c6-aac0-e3c157d59a91" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import Image\n", + "\n", + "# mappings can also be saved to file if required\n", + "edge.draw_to_file('tyk2_edge.png')\n", + "\n", + "# load it back for visualisation\n", + "Image(\"tyk2_edge.png\")" + ] + }, + { + "cell_type": "markdown", + "id": "8e119e3e", + "metadata": { + "id": "8e119e3e" + }, + "source": [ + "#### Storing the ligand network\n", + "\n", + "Created networks can easily be converted to (and also loaded from) a GraphML representation.\n", + "\n", + "This can allow users of OpenFE to store the network to disk for later use." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "0be4c1f4", + "metadata": { + "id": "0be4c1f4" + }, + "outputs": [], + "source": [ + "# Convert to graphml\n", + "with open(\"network_store.graphml\", \"w\") as writer:\n", + " writer.write(mst_network.to_graphml())" + ] + }, + { + "cell_type": "markdown", + "id": "feb4d54a-01a8-4bbe-ac13-1a15cdb79254", + "metadata": {}, + "source": [ + "### 2.1.4: Defining the Chemical Systems" + ] + }, + { + "cell_type": "markdown", + "id": "cc80f3fb", + "metadata": { + "id": "cc80f3fb" + }, + "source": [ + "`ChemicalSystems` are OpenFE containers which define the various components\n", + "in a system of interest. You can consider `ChemicalSystems` to be the nodes\n", + "along an alchemical network which are connected by edges which carry out\n", + "calculations along Alchemical states to get free energies.\n", + "\n", + "`ChemicalSystems` take in:\n", + "\n", + "1. A dictionary of the chemical components (e.g. `SmallMoleculeComponent`,\n", + " `ProteinComponent`, `SolventComponent`) defining the system.\n", + "\n", + "2. An identifier name (optional), for the `ChemicalSystem`. This is used as part\n", + " of the hash identifier of the `ChemicalSystem`, and can help distinguish between\n", + " otherwise comparable systems." + ] + }, + { + "cell_type": "markdown", + "id": "f5506f1a", + "metadata": { + "id": "f5506f1a" + }, + "source": [ + "In the case of a relative ligand binding free energy calculation for `lig_ejm_31` -> `lig_ejm_47`,\n", + "four `ChemicalSystems` must be defined:\n", + "\n", + "1. `lig_ejm_31` in complex with TYK2 in a box of water\n", + "\n", + "\n", + "2. `lig_ejm_47` in complex with TYK2 in a box of water\n", + "\n", + "\n", + "3. `lig_ejm_31` in a box of water\n", + "\n", + "\n", + "4. `lig_ejm_47` in a box of water\n", + "\n", + "\n", + "Here we will be passing the previously defined `SmallMoleculeComponents` for `lig_ejm_31`\n", + "and `lig_ejm_47`. We will also pass a `ProteinComponent` generated from the PDB file\n", + "present under `inputs/tyk2_protein.pdb`. Finally, instead of passing\n", + "in a specific box of water, we will define a `SolventComponent` which will contain\n", + "the necessary information for OpenMM's `Modeller` class to add water and 0.15 M NaCl\n", + "around the solute when creating the OpenMM simulation objects." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "0b6c9ec3", + "metadata": { + "id": "0b6c9ec3" + }, + "outputs": [], + "source": [ + "# First let's define the Protein and Solvent Components which we will be using\n", + "from openfe import SolventComponent, ProteinComponent\n", + "from openff.units import unit\n", + "\n", + "protein = ProteinComponent.from_pdb_file('inputs/tyk2_protein.pdb')\n", + "\n", + "# Note: the distance from the solute to add water is not defined here but in the\n", + "# the relevant RBFE solver method\n", + "solvent = SolventComponent(positive_ion='Na', negative_ion='Cl',\n", + " neutralize=True, ion_concentration=0.15*unit.molar)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "8c6d6504", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 317 + }, + "id": "8c6d6504", + "outputId": "47026705-938a-4e62-f1af-66e9c50334aa" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Extract the relevant edge for the lig_ejm_31 -> lig_ejm_47 transform in the radial graph\n", + "ejm_31_to_ejm_47 = [edge for edge in mst_network.edges if edge.componentB.name == \"lig_ejm_47\"][0]\n", + "\n", + "ejm_31_to_ejm_47" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "23b778d6", + "metadata": { + "id": "23b778d6" + }, + "outputs": [], + "source": [ + "# Let's create the four ChemicalSystems\n", + "from openfe import ChemicalSystem\n", + "\n", + "ejm_31_complex = ChemicalSystem(\n", + " {'ligand': ejm_31_to_ejm_47.componentA, 'solvent': solvent, 'protein': protein},\n", + " name=ejm_31_to_ejm_47.componentA.name,\n", + ")\n", + "ejm_31_solvent = ChemicalSystem(\n", + " {'ligand': ejm_31_to_ejm_47.componentA,'solvent': solvent},\n", + " name=ejm_31_to_ejm_47.componentA.name,\n", + ")\n", + "ejm_47_complex = ChemicalSystem(\n", + " {'ligand': ejm_31_to_ejm_47.componentB, 'solvent': solvent, 'protein': protein},\n", + " name=ejm_31_to_ejm_47.componentB.name,\n", + ")\n", + "ejm_47_solvent = ChemicalSystem(\n", + " {'ligand': ejm_31_to_ejm_47.componentB,'solvent': solvent},\n", + " name=ejm_31_to_ejm_47.componentB.name\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "1702be9c-a30d-43dc-a291-fefab56a4433", + "metadata": {}, + "source": [ + "### 2.1.5 Defining the RBFE simulation settings and protocol" + ] + }, + { + "cell_type": "markdown", + "id": "d795f993", + "metadata": { + "id": "d795f993" + }, + "source": [ + "Now that we have a set of atom mappings defined, we know which atoms should\n", + "undergo alchemical transformations to capture the free energy cost of\n", + "transforming from one ligand to another.\n", + "\n", + "To simulate this transformation, we use the equilibrium RBFE protocol\n", + "implemented in OpenFE. This uses OpenMM to run a relative\n", + "ligand binding free energy calculation using a single topology approach.\n", + "\n", + "The `RelativeHybridTopologyProtocol` class in `openfe.protocols.openmm_rfe`\n", + "implements a means to run the simulations above with minimal intervention.\n", + "\n", + "Here we work through its usage for the `lig_ejm_31` -> `lig_ejm_47` binding free energy\n", + "test case. As this involves both a relative binding free energy in solvent\n", + "and complex phases, `RelativeHybridTopologyProtocol` will\n", + "be used to build two separate `ProtocolDAG` (directed-acyclic-graph) classes, one for each phase.\n", + "These `DAG`s (which contain the necessary individual simulations), are then executed to yield\n", + "the desired free energy results." + ] + }, + { + "cell_type": "markdown", + "id": "d7c8ab9e-0185-40d7-a441-7a4cd948dda9", + "metadata": {}, + "source": [ + "The `RelativeHybridTopologyProtocol` class can directly populate the above set of default\n", + "settings through its `default_settings` method.\n", + "Parameters can be overriden after creation.\n", + "\n", + "In this case, we'll reduce the equilibration length to 0.01 * nanosecond\n", + "and the production to 0.05 * nanosecond in order to reduce the costs of\n", + "running this notebook (in practice, values of 1 and 5 nanoseconds,\n", + "respectively, would be most appropriate)." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "309c059b-85c7-4911-a417-69889a474fe1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'early_termination_target_error': ,\n", + " 'equilibration_length': ,\n", + " 'minimization_steps': 5000,\n", + " 'n_replicas': 11,\n", + " 'production_length': ,\n", + " 'real_time_analysis_interval': ,\n", + " 'real_time_analysis_minimum_time': ,\n", + " 'sampler_method': 'repex',\n", + " 'sams_flatness_criteria': 'logZ-flatness',\n", + " 'sams_gamma0': 1.0,\n", + " 'time_per_iteration': }\n" + ] + } + ], + "source": [ + "from openfe.protocols.openmm_rfe import RelativeHybridTopologyProtocol\n", + "from openff.units import unit\n", + "\n", + "# Create the default settings\n", + "rbfe_settings = RelativeHybridTopologyProtocol.default_settings()\n", + "\n", + "rbfe_settings.simulation_settings.equilibration_length = 10 * unit.picosecond # Reduce equilibration length to 10 picoseconds\n", + "rbfe_settings.simulation_settings.production_length = 50 * unit.picosecond # Reduce prodution length to 50 picoseconds\n", + "\n", + "rbfe_settings.simulation_settings" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "77accb06", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "77accb06", + "outputId": "e0b977c0-7e72-4a49-d3ea-eb0cdb85ed5d", + "scrolled": true + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'solvent_dag' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[31]\u001b[39m\u001b[32m, line 2\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;66;03m# solvent dry-run\u001b[39;00m\n\u001b[32m----> \u001b[39m\u001b[32m2\u001b[39m solvent_unit = \u001b[38;5;28mlist\u001b[39m(\u001b[43msolvent_dag\u001b[49m.protocol_units)[\u001b[32m0\u001b[39m]\n\u001b[32m 3\u001b[39m solvent_unit.run(dry=\u001b[38;5;28;01mTrue\u001b[39;00m, verbose=\u001b[38;5;28;01mTrue\u001b[39;00m)\n", + "\u001b[31mNameError\u001b[39m: name 'solvent_dag' is not defined" + ] + } + ], + "source": [ + "# solvent dry-run\n", + "solvent_unit = list(solvent_dag.protocol_units)[0]\n", + "solvent_unit.run(dry=True, verbose=True)" + ] + }, + { + "cell_type": "markdown", + "id": "ceba2266-8ad5-4205-96df-4b6403fc3b50", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "#### Simulating Using the CLI\n", + "\n", + "Even when using the Python API to set up the RBFE calculations, you can dump all `Transformation`s to a JSON file and run the calculations using the `openfe quickrun` command. Here, we will show you how to save the `Transformation`s to the JSON file." + ] + }, + { + "cell_type": "markdown", + "id": "043672e9-20e5-4b2c-8977-cca0e2ddf23e", + "metadata": {}, + "source": [ + "We’ll write out the transformation to disk, so that it can be run using the `openfe quickrun` command:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "12d35b4c-b737-4c3c-9fda-dc387aaa6915", + "metadata": {}, + "outputs": [], + "source": [ + "import pathlib\n", + "# first we create the directory\n", + "transformation_dir = pathlib.Path(\"tyk2_json\")\n", + "transformation_dir.mkdir(exist_ok=True)\n", + "\n", + "# then we write out the transformations\n", + "transformation_complex.dump(transformation_dir / f\"{transformation_complex.name}.json\")\n", + "transformation_solvent.dump(transformation_dir / f\"{transformation_solvent.name}.json\")" + ] + }, + { + "cell_type": "markdown", + "id": "05d4c16c-1d16-4ef1-a1b3-2eec6275c778", + "metadata": {}, + "source": [ + "You can run the RBFE simulations from the CLI by using the `openfe quickrun` command, as described in Section 5. below." + ] + }, + { + "cell_type": "markdown", + "id": "c3a26c6b-c958-4607-a191-f84c626d2db1", + "metadata": {}, + "source": [ + "# 3. Useful References for Exploring OpenFE Further" + ] + }, + { + "cell_type": "markdown", + "id": "2dc92d40-5a28-404f-bbff-5081cec5f995", + "metadata": {}, + "source": [ + "In our [documentation](https://docs.openfree.energy/en/latest/index.html), \n", + "we provide tutorials for ever protocol to walk you through setup, execution and analysis step by step.\n", + "\n", + "* [RBFE CLI tutorial](https://docs.openfree.energy/en/latest/tutorials/rbfe_cli_tutorial.html)\n", + "* [RBFE Python tutorial](https://docs.openfree.energy/en/latest/tutorials/rbfe_python_tutorial.html)\n", + "* [AHFE tutorial](https://docs.openfree.energy/en/latest/tutorials/ahfe_tutorial.html)\n", + "* [MD tutorial](https://docs.openfree.energy/en/latest/tutorials/md_tutorial.html)\n", + "\n", + "In addition to the tutorials, you can find [cookbooks](https://docs.openfree.energy/en/latest/cookbook/index.html), written as How-to guides on how to utilize different components of the toolkit, as well as a [User Guide](https://docs.openfree.energy/en/latest/guide/index.html) that goes into the underlying concepts of the OpenFE toolkit.\n", + "\n", + "For details about the toolkit's core methods and classes, please visit our [API Reference](https://docs.openfree.energy/en/latest/reference/index.html) or our [Github page](https://github.com/OpenFreeEnergy/openfe).\n", + "\n", + "To learn more about the project, our team and how you can get involved, please visit our [Homepage](https://openfree.energy/) or get in touch at OpenFreeEnergy@omsf.io." + ] + } + ], + "metadata": { + "accelerator": "GPU", + "colab": { + "gpuType": "T4", + "provenance": [] + }, + "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": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}