{ "cells": [ { "cell_type": "markdown", "id": "98619615", "metadata": {}, "source": [ "# Protein folding MSM: villin headpiece\n", "\n", "**You will learn:** how to take a set of unbiased MD trajectories of a small protein and build a Markov-state model that gives you the folded / unfolded macrostates, the folding timescale, and the folding rate.\n", "\n", "**Prerequisites:**\n", "- HTMD installed.\n", "- `wget` available on `$PATH` (or substitute your favourite downloader).\n", "- Patience for a one-time ~1 GB dataset download.\n", "\n", "## The system\n", "\n", "The villin headpiece is a 35-residue protein with a single hydrophobic core - one of the smallest naturally-occurring autonomously folding domains. We use a set of unbiased explicit-solvent trajectories run at 360 K (above the melting point, so both folded and unfolded states are populated). Total aggregate ≈ 107 µs across 2137 short trajectories.\n", "\n", "## The flow\n", "\n", "The MSM pipeline you'll follow:\n", "\n", "1. **Download + index** the filtered trajectories with {py:func}`~htmd.simlist.simlist`.\n", "2. **Project** the geometry onto a low-dimensional distance space with {py:class}`~moleculekit.projections.metricdistance.MetricSelfDistance`.\n", "3. **Reduce dimensions** with TICA - find the slow collective coordinates.\n", "4. **Cluster** the TICA space into ~1000 microstates.\n", "5. **Build** a Markov model: choose a lag time from the implied-timescales plot, then lump microstates into macrostates with PCCA.\n", "6. **Read kinetics**: equilibrium populations, free-energy surface, mean first-passage times.\n", "\n", "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "id": "1784418e", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:43:56.254932Z", "iopub.status.busy": "2026-06-02T15:43:56.254846Z", "iopub.status.idle": "2026-06-02T15:43:59.303180Z", "shell.execute_reply": "2026-06-02T15:43:59.302795Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2026-06-02 18:43:57,627 - rdkit - INFO - Enabling RDKit 2026.03.2 jupyter extensions\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Please cite HTMD: Doerr et al.(2016)JCTC,12,1845. https://dx.doi.org/10.1021/acs.jctc.6b00049\n", "HTMD Documentation at: https://software.acellera.com/htmd/\n", "\n", "You are on the latest HTMD version (2.8.5.dev17+gf26491d44.d20260602).\n", "\n" ] } ], "source": [ "import os\n", "from glob import glob\n", "from pathlib import Path\n", "from htmd.ui import (\n", " simlist, simmerge,\n", " Metric, MetricSelfDistance,\n", " TICA, Model, Kinetics,\n", ")\n", "from sklearn.cluster import MiniBatchKMeans" ] }, { "cell_type": "markdown", "id": "58a6340c", "metadata": {}, "source": [ "## Step 1 - Build a simulation list\n", "\n", "The filtered trajectories (already stripped of waters and ions, aligned for analysis) ship as a zip on Figshare ([HTMD tutorial data, DOI 10.6084/m9.figshare.32541291](https://doi.org/10.6084/m9.figshare.32541291)) - download [protein_folding_datasets.zip](https://ndownloader.figshare.com/files/65180772) and extract it once. ~2.5 GB. The tutorial reads the absolute path from the `HTMD_TUTORIAL_DATASETS` environment variable so the same notebook works regardless of where you extracted to.\n", "\n", "The dataset is organised as several \"epochs\" (independent adaptive-sampling rounds). {py:func}`~htmd.simlist.simlist` builds one list per epoch — duplicate folder basenames within a single call would raise — and {py:func}`~htmd.simlist.simmerge` stitches the per-epoch lists into one combined list, renumbering the `simid` indices to be sequential across the merged whole:" ] }, { "cell_type": "code", "execution_count": 2, "id": "9e8dfc8a", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:43:59.304689Z", "iopub.status.busy": "2026-06-02T15:43:59.304466Z", "iopub.status.idle": "2026-06-02T15:44:02.187818Z", "shell.execute_reply": "2026-06-02T15:44:02.187373Z" } }, "outputs": [ { "data": { "text/plain": [ "2137" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "DATASETS = Path(os.environ[\"HTMD_TUTORIAL_DATASETS\"]) / \"protein_folding_datasets\"\n", "topology = str(DATASETS / \"1\" / \"filtered\") # any epoch works - all share the same topology\n", "sims = []\n", "for epoch in sorted(DATASETS.glob(\"*/\")):\n", " trajs = glob(os.path.join(epoch, \"filtered\", \"*\", \"\"))\n", " sims = simmerge(sims, simlist(trajs, topology))\n", "len(sims)" ] }, { "cell_type": "markdown", "id": "4911b20e", "metadata": {}, "source": [ "A {py:class}`~htmd.simlist.Sim` is the unit of analysis: trajectory frames + the matching topology / structure file (any moleculekit-supported topology format works — PDB, PSF, prmtop, ...).\n", "\n", "## Step 2 - Project geometry to Cα distances\n", "\n", "Folding is encoded in the network of Cα-Cα contacts: in the unfolded state the helices are apart, in the folded state they pack against each other. {py:class}`~moleculekit.projections.metricdistance.MetricSelfDistance` computes the upper-triangular distance matrix between every Cα pair, frame by frame. `metric=\"contacts\"` thresholds those distances into 0/1 contacts (1 if below the `threshold`, 0 otherwise - default `threshold=8` Å). Contact features are cheaper and more robust than raw distances for MSMs." ] }, { "cell_type": "code", "execution_count": 3, "id": "df46a2f0", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:44:02.189216Z", "iopub.status.busy": "2026-06-02T15:44:02.189099Z", "iopub.status.idle": "2026-06-02T15:44:32.828616Z", "shell.execute_reply": "2026-06-02T15:44:32.828172Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "htmd.projections.metric - INFO - Frame step 0.1ns was read from the trajectories. If it looks wrong, redefine it by manually setting the MetricData.fstep property.\n" ] } ], "source": [ "metr = Metric(sims)\n", "metr.set(MetricSelfDistance(\"protein and name CA\", metric=\"contacts\", periodic=\"chains\"))\n", "data = metr.project()\n", "data.fstep = 0.1 # ns per frame - tells downstream code the time axis" ] }, { "cell_type": "markdown", "id": "83ff0658", "metadata": {}, "source": [ "`data` is a {py:class}`~htmd.metricdata.MetricData` object: per-trajectory projected coordinates plus the metric metadata." ] }, { "cell_type": "code", "execution_count": 4, "id": "f4bf4bb6", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:44:32.830198Z", "iopub.status.busy": "2026-06-02T15:44:32.829965Z", "iopub.status.idle": "2026-06-02T15:44:33.097065Z", "shell.execute_reply": "2026-06-02T15:44:33.096483Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data.plotTrajSizes()" ] }, { "cell_type": "markdown", "id": "02b57db1", "metadata": {}, "source": [ "Drop any trajectories whose length isn't the **statistical mode** (the most common frame count). By default `dropTraj()` removes anything off that mode — both crashed (too short) and over-run (too long) — so the rest of the pipeline sees a uniform-length set:" ] }, { "cell_type": "code", "execution_count": 5, "id": "eb005244", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:44:33.099158Z", "iopub.status.busy": "2026-06-02T15:44:33.098920Z", "iopub.status.idle": "2026-06-02T15:44:33.102802Z", "shell.execute_reply": "2026-06-02T15:44:33.102515Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "htmd.metricdata - INFO - Dropped 7 trajectories from 2137 resulting in 2130\n" ] }, { "data": { "text/plain": [ "array([ 168, 472, 709, 1507, 1601, 2100, 2111])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.dropTraj()" ] }, { "cell_type": "markdown", "id": "de6647cf", "metadata": {}, "source": [ "## Step 3 - TICA: find the slow coordinates\n", "\n", "TICA (Time-lagged Independent Component Analysis) re-projects the high-dimensional contact space onto the directions of slowest decorrelation. For an MSM, those slow directions are exactly what you want to discretise." ] }, { "cell_type": "code", "execution_count": 6, "id": "1be758c0", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:44:33.104814Z", "iopub.status.busy": "2026-06-02T15:44:33.104716Z", "iopub.status.idle": "2026-06-02T15:45:14.693120Z", "shell.execute_reply": "2026-06-02T15:45:14.674215Z" } }, "outputs": [], "source": [ "tica = TICA(data, 2, units=\"ns\") # lag time for the TICA fit\n", "dataTica = tica.project(3) # keep the 3 slowest TIC coordinates" ] }, { "cell_type": "markdown", "id": "434ff6e5", "metadata": {}, "source": [ "The lag time you pick here (2 ns) should be a few times the fastest non-trivial relaxation; for villin folding 2 ns is plenty.\n", "\n", "## Step 4 - Cluster the TICA space\n", "\n", "Discretise the continuous TICA space into ~1000 microstates with mini-batch k-means. Bootstrap the data first (sample 80% of trajs) - re-running with different bootstrap draws gives you deviations / error bars on the timescales and is the standard check that the model is sample-stable:" ] }, { "cell_type": "code", "execution_count": 7, "id": "4b492edd", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:45:14.795019Z", "iopub.status.busy": "2026-06-02T15:45:14.764433Z", "iopub.status.idle": "2026-06-02T15:45:17.719957Z", "shell.execute_reply": "2026-06-02T15:45:17.718959Z" } }, "outputs": [], "source": [ "dataBoot = dataTica.bootstrap(0.8)\n", "dataBoot.cluster(MiniBatchKMeans(n_clusters=1000))" ] }, { "cell_type": "markdown", "id": "52959121", "metadata": {}, "source": [ "## Step 5 - Build the MSM" ] }, { "cell_type": "code", "execution_count": 8, "id": "3d93e1eb", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:45:17.723171Z", "iopub.status.busy": "2026-06-02T15:45:17.723049Z", "iopub.status.idle": "2026-06-02T15:46:08.507335Z", "shell.execute_reply": "2026-06-02T15:46:08.506846Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = Model(dataBoot)\n", "model.plotTimescales(maxlag=40, units=\"ns\")" ] }, { "cell_type": "markdown", "id": "9efae276", "metadata": {}, "source": [ "The implied-timescales (ITS) plot tells you when the model becomes Markovian: pick the **shortest** lag time at which the top timescales have plateaued. For villin folding that's ~25 ns - the slow folding timescale is clearly separated from the bulk continuum." ] }, { "cell_type": "code", "execution_count": 9, "id": "a5daa274", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:46:08.537803Z", "iopub.status.busy": "2026-06-02T15:46:08.537654Z", "iopub.status.idle": "2026-06-02T15:46:11.184059Z", "shell.execute_reply": "2026-06-02T15:46:11.183523Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "htmd.model - INFO - 100.0% of the data was used\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "htmd.model - INFO - Number of trajectories that visited each macrostate:\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "htmd.model - INFO - [ 116 479 74 1655]\n" ] } ], "source": [ "model.markovModel(25, 4, units=\"ns\")" ] }, { "cell_type": "markdown", "id": "e42aa822", "metadata": {}, "source": [ "`25` is the MSM lag time in ns; `4` is the number of macrostates PCCA lumps the microstates into. We pick 4 because the ITS plot shows the top 3 timescales clearly separated from the rest of the spectrum - 3 slow processes partition the microstate space into 3 + 1 = 4 metastable basins. The result captures the folded basin + a couple of unfolded sub-states + the transition region.\n", "\n", "## Step 6 - Equilibrium populations and FES" ] }, { "cell_type": "code", "execution_count": 10, "id": "0e01f9ab", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:46:11.187374Z", "iopub.status.busy": "2026-06-02T15:46:11.187258Z", "iopub.status.idle": "2026-06-02T15:46:11.230167Z", "shell.execute_reply": "2026-06-02T15:46:11.229679Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([0.00353847, 0.09011645, 0.16917454, 0.73717054])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.eqDistribution()" ] }, { "cell_type": "code", "execution_count": 11, "id": "47098a8e", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:46:11.234383Z", "iopub.status.busy": "2026-06-02T15:46:11.234275Z", "iopub.status.idle": "2026-06-02T15:46:15.803257Z", "shell.execute_reply": "2026-06-02T15:46:15.802701Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.plotFES(0, 1, temperature=360)" ] }, { "cell_type": "markdown", "id": "12046efd", "metadata": {}, "source": [ "The FES on TIC1 / TIC2 shows the macrostate basins. Overlay the state assignments:" ] }, { "cell_type": "code", "execution_count": 12, "id": "510d4e08", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:46:15.806612Z", "iopub.status.busy": "2026-06-02T15:46:15.806515Z", "iopub.status.idle": "2026-06-02T15:46:20.327039Z", "shell.execute_reply": "2026-06-02T15:46:20.326716Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.plotFES(0, 1, temperature=360, states=True)" ] }, { "cell_type": "markdown", "id": "d9ed9d5c", "metadata": {}, "source": [ "To eyeball the macrostates as structures, run `model.viewStates(protein=True)` from an interactive session - it launches VMD with one representative frame per macrostate. (Omitted here because it needs a display.)\n", "\n", "## Step 7 - Kinetics" ] }, { "cell_type": "code", "execution_count": 13, "id": "1f100364", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:46:20.332233Z", "iopub.status.busy": "2026-06-02T15:46:20.332136Z", "iopub.status.idle": "2026-06-02T15:46:20.887837Z", "shell.execute_reply": "2026-06-02T15:46:20.887374Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "htmd.kinetics - INFO - Detecting source state...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "htmd.kinetics - INFO - Guessing the source state as the state with minimum contacts.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "htmd.kinetics - INFO - Source macro = 3\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "htmd.kinetics - INFO - Detecting sink state...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "htmd.kinetics - INFO - Sink macro = 2\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "htmd.kinetics - INFO - Calculating rates between source: [np.int64(3)] and sink: [np.int64(2)] states.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "mfpton = 2.09E+03 (ns)\n", "mfptoff = 2.35E+02 (ns)\n", "kon = 4.79E+05 (1/M 1/s)\n", "koff = 4.25E+06 (1/s)\n", "koff/kon = 8.87E+00 (M)\n", "kdeq = 4.36E+00 (M)\n", "g0eq = 1.05 (kcal/M)\n", "\n" ] } ], "source": [ "kin = Kinetics(model, temperature=360)\n", "r = kin.getRates()\n", "print(r)" ] }, { "cell_type": "markdown", "id": "266903db", "metadata": {}, "source": [ "`Kinetics` reads the macrostate model and computes mean-first-passage times and rates. {py:meth}`~htmd.kinetics.Kinetics.getRates` returns a single `Rates` object for one auto-detected source → sink pair (folded → unfolded by default). To inspect *all* pairs, pass `source=` / `sink=` explicitly per call, or use `kin.plotRates()` (below) which iterates internally." ] }, { "cell_type": "code", "execution_count": 14, "id": "cce89ffc", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:46:20.896004Z", "iopub.status.busy": "2026-06-02T15:46:20.895851Z", "iopub.status.idle": "2026-06-02T15:46:21.923639Z", "shell.execute_reply": "2026-06-02T15:46:21.923154Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjoAAAG1CAYAAADwRl5QAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjksIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvJkbTWQAAAAlwSFlzAAAPYQAAD2EBqD+naQAAKZ5JREFUeJzt3X90VPWd//HXJJAAkgRCMDGQGFmEEpSJmx8UqyvUuGmkCeCuZRFlCC6tdiIr44+FbgWPtgu7bDmhOi1VD0S3UqlF8ActihEIAjUhbDiWoDUlQBTyg18JGTTQzP3+4ddp0/AryYSZfOb5OGf+mDs3d94x7eF5Zj73XptlWZYAAAAMFBboAQAAAHoKoQMAAIxF6AAAAGMROgAAwFiEDgAAMBahAwAAjEXoAAAAYxE6AADAWIQOAAAwFqEDAACMRegAAABj9Qn0AP6QkpKi6OhohYWFafDgwdqyZUugRwIAAEHAiNCRpJ07d2rgwIGd/jmv16sjR44oKipKNputByYDAAD+ZlmWTp8+rcTERIWFXfgLKmNCp6uOHDmipKSkQI8BAAC6oLa2VsOHD7/g6wEPndLSUi1btkwVFRU6evSo1q9fr6lTp7bbx+12a9myZaqrq5PdbtczzzyjrKws3+s2m0233XabwsLC9PDDD2vmzJmX/f5RUVGSvvwPFR0d7ZffCQAA9Kzm5mYlJSX5/h2/kICHjsfjkd1u15w5c3TXXXd1eH3t2rVyuVxauXKlxo8fr6KiIuXk5Ojjjz/W1VdfLUl6//33NWzYMB09elTZ2dm68cYbNW7cuMt6/6++roqOjiZ0AADoZS617MRmWZZ1hWa5JJvN1uETnfHjxyszM1PPPvuspC/X1CQlJemhhx7SggULOhzjscce09ixYzV79uzzvkdra6taW1t9z78qwqamJkIHAIBeorm5WTExMZf89zuoTy8/e/asKioqlJ2d7dsWFham7Oxs7dq1S9KXnwidPn1aktTS0qL33ntPY8eOveAxlyxZopiYGN+D9TkAAJgrqEPn2LFjamtrU3x8fLvt8fHxqqurkyTV19frlltukd1u19e//nXNmjVLmZmZFzzmwoUL1dTU5HvU1tb26O8AAAACJ+BrdLprxIgR2rt372XvHxkZqcjIyB6c6C9SFmy8Iu+Djg4unRzoEQAAQSCoP9GJi4tTeHi46uvr222vr69XQkJCt47tdruVmpp60U9/AABA7xbUoRMREaH09HSVlJT4tnm9XpWUlGjChAndOrbT6VRVVZXKy8u7OyYAAAhSAf/qqqWlRdXV1b7nNTU1qqysVGxsrJKTk+VyueRwOJSRkaGsrCwVFRXJ4/GooKAggFMDAIDeIOChs3v3bk2aNMn33OVySZIcDoeKi4s1ffp0NTY2atGiRaqrq1NaWpo2bdrUYYEyAADA3wqq6+hcSW63W263W21tbfrjH//YI9fRYTFy4LAYGQDMZsR1dHoSa3QAADBfyIYOAAAwH6EDAACMFbKhw3V0AAAwX8iGDmt0AAAwX8iGDgAAMB+hAwAAjEXoAAAAY4Vs6LAYGQAA84Vs6LAYGQAA84Vs6AAAAPMROgAAwFiEDgAAMBahAwAAjBWyocNZVwAAmC9kQ4ezrgAAMF/Ihg4AADAfoQMAAIxF6AAAAGMROgAAwFiEDgAAMFbIhg6nlwMAYL6QDR1OLwcAwHwhGzoAAMB8hA4AADAWoQMAAIxF6AAAAGMROgAAwFiEDgAAMBahAwAAjBWyocMFAwEAMF/Ihg4XDAQAwHwhGzoAAMB8hA4AADAWoQMAAIxF6AAAAGMROgAAwFiEDgAAMBahAwAAjEXoAAAAYxE6AADAWIQOAAAwFqEDAACMFbKhw009AQAwX8iGDjf1BADAfCEbOgAAwHyEDgAAMBahAwAAjEXoAAAAYxE6AADAWIQOAAAwFqEDAACMRegAAABjEToAAMBYhA4AADAWoQMAAIxF6AAAAGMROgAAwFiEDgAAMJYxoXPmzBlde+21evTRRwM9CgAACBLGhM6Pf/xjff3rXw/0GAAAIIgYETqffPKJPvroI+Xm5gZ6FAAAEEQCHjqlpaXKy8tTYmKibDabNmzY0GEft9utlJQU9evXT+PHj1dZWVm71x999FEtWbLkCk0MAAB6i4CHjsfjkd1ul9vtPu/ra9eulcvl0uLFi7Vnzx7Z7Xbl5OSooaFBkvT6669r1KhRGjVq1JUcGwAA9AJ9Aj1Abm7uRb9yWr58uebOnauCggJJ0sqVK7Vx40atWrVKCxYs0O9//3u98sorevXVV9XS0qJz584pOjpaixYtOu/xWltb1dra6nve3Nzs318IAAAEjYB/onMxZ8+eVUVFhbKzs33bwsLClJ2drV27dkmSlixZotraWh08eFD/8z//o7lz514wcr7aPyYmxvdISkrq8d8DAAAERlCHzrFjx9TW1qb4+Ph22+Pj41VXV9elYy5cuFBNTU2+R21trT9GBQAAQSjgX1350+zZsy+5T2RkpCIjI3t+GAAAEHBB/YlOXFycwsPDVV9f3257fX29EhISunVst9ut1NRUZWZmdus4AAAgeAV16ERERCg9PV0lJSW+bV6vVyUlJZowYUK3ju10OlVVVaXy8vLujgkAAIJUwL+6amlpUXV1te95TU2NKisrFRsbq+TkZLlcLjkcDmVkZCgrK0tFRUXyeDy+s7AAAAAuJOChs3v3bk2aNMn33OVySZIcDoeKi4s1ffp0NTY2atGiRaqrq1NaWpo2bdrUYYEyAADA37JZlmUFeohAcLvdcrvdamtr0x//+Ec1NTUpOjrar++RsmCjX4+Hy3dw6eRAjwAA6EHNzc2KiYm55L/fQb1GpyexRgcAAPOFbOgAAADzEToAAMBYIRs6XEcHAADzhWzosEYHAADzhWzoAAAA8xE6AADAWIQOAAAwVsiGDouRAQAwX8iGDouRAQAwX8iGDgAAMB+hAwAAjEXoAAAAYxE6AADAWCEbOpx1BQCA+UI2dDjrCgAA84Vs6AAAAPMROgAAwFiEDgAAMBahAwAAjEXoAAAAY4Vs6HB6OQAA5gvZ0OH0cgAAzBeyoQMAAMxH6AAAAGMROgAAwFiEDgAAMBahAwAAjNUn0AMAvVHKgo2BHiFkHVw6OdAjAOhF+EQHAAAYK2RDhwsGAgBgvpANHS4YCACA+UI2dAAAgPkIHQAAYCxCBwAAGIvQAQAAxiJ0AACAsQgdAABgLEIHAAAYi9ABAADGInQAAICxCB0AAGAs7l4OAH+FO9MHBnelR08J2U90uKknAADmC9nQ4aaeAACYL2RDBwAAmI/QAQAAxiJ0AACAsQgdAABgLEIHAAAYi9ABAADGInQAAICxCB0AAGAsQgcAABiL0AEAAMYidAAAgLEIHQAAYKw+Xfmh1tZWffDBBzp06JDOnDmjoUOH6qabbtJ1113n7/kAAAC6rFOhs2PHDq1YsUJvvvmmzp07p5iYGPXv318nTpxQa2urRowYoe9+97t64IEHFBUV1VMzAwAAXJbL/uoqPz9f06dPV0pKit555x2dPn1ax48f16effqozZ87ok08+0Q9/+EOVlJRo1KhR2rx5c0/O7XPq1CllZGQoLS1NN9xwg55//vkr8r4AACD4XfYnOpMnT9a6devUt2/f874+YsQIjRgxQg6HQ1VVVTp69KjfhryYqKgolZaWasCAAfJ4PLrhhht01113aciQIVfk/QEAQPC67ND53ve+d9kHTU1NVWpqapcG6qzw8HANGDBA0pdrhyzLkmVZV+S9AQBAcOvSWVe1tbX69NNPfc/Lysr08MMP67nnnuv0sUpLS5WXl6fExETZbDZt2LChwz5ut1spKSnq16+fxo8fr7Kysnavnzp1Sna7XcOHD9djjz2muLi4Ts8BAADM06XQueeee7RlyxZJUl1dne644w6VlZXpP/7jP/TUU0916lgej0d2u11ut/u8r69du1Yul0uLFy/Wnj17ZLfblZOTo4aGBt8+gwYN0t69e1VTU6M1a9aovr6+K78WAAAwTJdC5w9/+IOysrIkSb/+9a91ww03aOfOnXr55ZdVXFzcqWPl5ubqRz/6kaZNm3be15cvX665c+eqoKBAqampWrlypQYMGKBVq1Z12Dc+Pl52u13bt2+/4Pu1traqubm53QMAAJipS6Fz7tw5RUZGSpLeffdd5efnS5K+9rWv+XUR8tmzZ1VRUaHs7GzftrCwMGVnZ2vXrl2SpPr6ep0+fVqS1NTUpNLSUo0ePfqCx1yyZIliYmJ8j6SkJL/NCwAAgkuXQmfs2LFauXKltm/frs2bN+tb3/qWJOnIkSN+Pdvp2LFjamtrU3x8fLvt8fHxqqurkyQdOnRIt956q+x2u2699VY99NBDuvHGGy94zIULF6qpqcn3qK2t9du8AAAguHTpysj/9V//pWnTpmnZsmVyOByy2+2SpDfeeMP3ldaVkpWVpcrKysvePzIy0vdpFAAAMFuXQmfixIk6duyYmpubNXjwYN/27373u75Tvf0hLi5O4eHhHRYX19fXKyEhoVvHdrvdcrvdamtr69ZxAABA8OryTT3Dw8PbRY4kpaSk6Oqrr+72UF+JiIhQenq6SkpKfNu8Xq9KSko0YcKEbh3b6XSqqqpK5eXl3R0TAAAEqS6FTn19ve677z4lJiaqT58+Cg8Pb/fojJaWFlVWVvq+fqqpqVFlZaUOHz4sSXK5XHr++ef14osvav/+/XrwwQfl8XhUUFDQldEBAEAI6dJXV7Nnz9bhw4f1xBNP6JprrpHNZuvyALt379akSZN8z10ulyTJ4XCouLhY06dPV2NjoxYtWqS6ujqlpaVp06ZNHRYoAwAA/K0uhc7777+v7du3Ky0trdsDTJw48ZK3bCgsLFRhYWG33+uvsUYHAADzdemrq6SkpF5/PynW6AAAYL4uhU5RUZEWLFiggwcP+nkcAAAA/+nSV1fTp0/XmTNn9Hd/93caMGCA+vbt2+71EydO+GU4AACA7uhS6BQVFfl5jCuPNToAAJivS6HjcDj8PccV53Q65XQ61dzcrJiYmECPAwAAesBlr9HxeDydOnBn9wcAAPC3yw6dkSNHaunSpRe9O7llWdq8ebNyc3P105/+1C8DAgAAdNVlf3W1detW/eAHP9CTTz4pu92ujIwMJSYmql+/fjp58qSqqqq0a9cu9enTRwsXLtT3vve9npwbAADgki47dEaPHq1169bp8OHDevXVV7V9+3bt3LlTn3/+ueLi4nTTTTfp+eefV25ubqdvAxEILEYGAMB8nV6MnJycrEceeUSPPPJIT8xzxbAYGQAA83X57uUAAADBjtABAADGInQAAICxCB0AAGCskA0dt9ut1NRUZWZmBnoUAADQQ7p0CwhJOnXqlMrKytTQ0CCv19vutVmzZnV7sJ7GWVcAAJivS6Hz5ptvaubMmWppaVF0dLRsNpvvNZvN1itCBwAAmK9LX1098sgjmjNnjlpaWnTq1CmdPHnS9zhx4oS/ZwQAAOiSLoXOZ599pnnz5mnAgAH+ngcAAMBvuhQ6OTk52r17t79nAQAA8KsurdGZPHmyHnvsMVVVVenGG29U3759272en5/vl+EAAAC6o0uhM3fuXEnSU0891eE1m83WK26UyU09AQAwX5e+uvJ6vRd89JZwcDqdqqqqUnl5eaBHAQAAPSRkLxgIAADM1+XQ2bZtm/Ly8jRy5EiNHDlS+fn52r59uz9nAwAA6JYuhc4vf/lLZWdna8CAAZo3b57mzZun/v376/bbb9eaNWv8PSMAAECXdGkx8o9//GP993//t+bPn+/bNm/ePC1fvlxPP/207rnnHr8NCAAA0FVd+kTnwIEDysvL67A9Pz9fNTU13R4KAADAH7oUOklJSSopKemw/d1331VSUlK3hwIAAPCHLn119cgjj2jevHmqrKzUzTffLEnasWOHiouLtWLFCr8OCAAA0FVdCp0HH3xQCQkJ+slPfqJf//rXkqQxY8Zo7dq1mjJlil8H7ClcMBAAAPN1KXQkadq0aZo2bZo/Z7minE6nnE6nmpubFRMTE+hxAABAD+CCgQAAwFiEDgAAMBahAwAAjEXoAAAAY3UqdEaMGKHjx4/31CwAAAB+1anQOXjwIKdjAwCAXoOvrgAAgLE6fR2dt99++5LXncnPz+/yQAAAAP7S6dBxOBwXfd1ms/H1FgAACAqd/uqqrq5OXq/3gg8iBwAABItOhY7NZuupOQAAAPyuU6FjWVZPzXHFud1upaamKjMzM9CjAACAHtKp0HE4HOrfv39PzXJFOZ1OVVVVqby8PNCjAACAHtKp0HnhhRf0s5/9TN/4xjeUmZmpBQsW6PPPP++p2QAAALqlU6Hzn//5n/rBD36ggQMHatiwYVqxYoWcTmdPzQYAANAtnQqdl156ST/72c/09ttva8OGDXrzzTf18ssvy+v19tR8AAAAXdap0Dl8+LDuvPNO3/Ps7GzZbDYdOXLE74MBAAB0V6dC589//rP69evXblvfvn117tw5vw4FAADgD526MrJlWZo9e7YiIyN927744gs98MADuuqqq3zbXnvtNf9NCAAA0EWdCp1Zs2Z1uGjgvffe69eBAAAA/KVToVNcXNxDYwAAAPhfp9boHDhwwKirIwMAALN1KnSuv/56NTY2+p5Pnz5d9fX1fh8KAADAH7p1r6vf/va38ng8fh0IAADAXzoVOgAAAL1Jp0LHZrN1OOvqb58DAAAEi25dR+d819CRuI4OAAAIDp0KHYfD0e55MFxDp7a2Vvfdd58aGhrUp08fPfHEE7r77rsDPRYAAAgCnQqd1atX99QcXdanTx8VFRUpLS1NdXV1Sk9P15133tnhUyYAABB6OhU6weiaa67RNddcI0lKSEhQXFycTpw4QegAAIDOhc6cOXMua79Vq1Zd9jFLS0u1bNkyVVRU6OjRo1q/fr2mTp3abh+3261ly5aprq5OdrtdzzzzjLKysjocq6KiQm1tbUpKSrrs9wcAAObq1FlXxcXF2rJli06dOqWTJ09e8NEZHo9Hdrtdbrf7vK+vXbtWLpdLixcv1p49e2S325WTk6OGhoZ2+504cUKzZs3Sc88916n3BwAA5urUJzoPPvigfvWrX6mmpkYFBQW69957FRsb260BcnNzlZube8HXly9frrlz56qgoECStHLlSm3cuFGrVq3SggULJEmtra2aOnWqFixYoJtvvvmi79fa2qrW1lbf8+bm5m7NDwAAglenPtFxu906evSoHn/8cb355ptKSkrSd77zHb399ts9cg+ss2fPqqKiQtnZ2X8ZOCxM2dnZ2rVrl6S/nPL+zW9+U/fdd98lj7lkyRLFxMT4HnzNBQCAuTp9ZeTIyEjNmDFDmzdvVlVVlcaOHavvf//7SklJUUtLi1+HO3bsmNra2hQfH99ue3x8vOrq6iRJO3bs0Nq1a7VhwwalpaUpLS1NH3744QWPuXDhQjU1NfketbW1fp0ZAAAEj26ddRUWFiabzSbLstTW1uavmTrllltukdfrvez9IyMjfRc8BAAAZuv0Jzqtra361a9+pTvuuEOjRo3Shx9+qGeffVaHDx/WwIED/TpcXFycwsPDO9whvb6+XgkJCX59LwAAYJ5Ohc73v/99XXPNNVq6dKm+/e1vq7a2Vq+++qruvPNOhYX5//6gERERSk9PV0lJiW+b1+tVSUmJJkyY0K1ju91upaamKjMzs7tjAgCAINWpr65Wrlyp5ORkjRgxQtu2bdO2bdvOu19n7nXV0tKi6upq3/OamhpVVlYqNjZWycnJcrlccjgcysjIUFZWloqKiuTxeHxnYXWV0+mU0+lUc3OzYmJiunUsAAAQnDoVOrNmzfL73cp3796tSZMm+Z67XC5JX95Xq7i4WNOnT1djY6MWLVqkuro6paWladOmTR0WKAMAAPytToVOcXGx3weYOHHiJU9NLywsVGFhoV/f1+12y+12B2wRNQAA6Hn+X1jTSzidTlVVVam8vDzQowAAgB4SsqEDAADMR+gAAABjEToAAMBYIRs6XEcHAADzhWzosBgZAADzhWzoAAAA8xE6AADAWIQOAAAwVsiGDouRAQAwX8iGDouRAQAwX8iGDgAAMB+hAwAAjEXoAAAAY4Vs6LAYGQAA84Vs6LAYGQAA84Vs6AAAAPMROgAAwFiEDgAAMBahAwAAjEXoAAAAY4Vs6HB6OQAA5gvZ0OH0cgAAzBeyoQMAAMxH6AAAAGMROgAAwFiEDgAAMBahAwAAjEXoAAAAYxE6AADAWIQOAAAwVsiGDldGBgDAfCEbOlwZGQAA84Vs6AAAAPMROgAAwFiEDgAAMBahAwAAjEXoAAAAYxE6AADAWIQOAAAwFqEDAACMRegAAABjEToAAMBYIRs63OsKAADzhWzocK8rAADMF7KhAwAAzEfoAAAAYxE6AADAWIQOAAAwFqEDAACMRegAAABjEToAAMBYhA4AADAWoQMAAIxF6AAAAGMROgAAwFiEDgAAMBahAwAAjEXoAAAAYxkROtOmTdPgwYP1z//8z4EeBQAABBEjQuff/u3f9NJLLwV6DAAAEGSMCJ2JEycqKioq0GMAAIAgE/DQKS0tVV5enhITE2Wz2bRhw4YO+7jdbqWkpKhfv34aP368ysrKrvygAACg1wl46Hg8Htntdrnd7vO+vnbtWrlcLi1evFh79uyR3W5XTk6OGhoarvCkAACgtwl46OTm5upHP/qRpk2bdt7Xly9frrlz56qgoECpqalauXKlBgwYoFWrVl3hSQEAQG8T8NC5mLNnz6qiokLZ2dm+bWFhYcrOztauXbu6dMzW1lY1Nze3ewAAADMFdegcO3ZMbW1tio+Pb7c9Pj5edXV1vufZ2dm6++679dvf/lbDhw+/aAQtWbJEMTExvkdSUlKPzQ8AAAKrT6AH8Id33333svdduHChXC6X73lzczOxAwCAoYI6dOLi4hQeHq76+vp22+vr65WQkNClY0ZGRioyMtIf4wEAgCAX1F9dRUREKD09XSUlJb5tXq9XJSUlmjBhQreO7Xa7lZqaqszMzO6OCQAAglTAP9FpaWlRdXW173lNTY0qKysVGxur5ORkuVwuORwOZWRkKCsrS0VFRfJ4PCooKOjW+zqdTjmdTjU3NysmJqa7vwYAAAhCAQ+d3bt3a9KkSb7nX62fcTgcKi4u1vTp09XY2KhFixaprq5OaWlp2rRpU4cFygAAAH8r4KEzceJEWZZ10X0KCwtVWFh4hSYCAACmCOo1Oj2JNToAAJgvZEPH6XSqqqpK5eXlgR4FAAD0kJANHQAAYD5CBwAAGCtkQ4c1OgAAmC9kQ4c1OgAAmC9kQwcAAJiP0AEAAMYidAAAgLFCNnRYjAwAgPlCNnRYjAwAgPlCNnQAAID5CB0AAGAsQgcAABiL0AEAAMYK2dDhrCsAAMwXsqHDWVcAAJgvZEMHAACYj9ABAADGInQAAICxCB0AAGAsQgcAABgrZEOH08sBADBfyIYOp5cDAGC+kA0dAABgPkIHAAAYi9ABAADGInQAAICxCB0AAGAsQgcAABiL0AEAAMYK2dDhgoEAAJgvZEOHCwYCAGC+kA0dAABgPkIHAAAYi9ABAADGInQAAICxCB0AAGAsQgcAABiL0AEAAMYidAAAgLEIHQAAYCxCBwAAGIvQAQAAxgrZ0OGmngAAmC9kQ4ebegIAYL6QDR0AAGA+QgcAABiL0AEAAMYidAAAgLEIHQAAYCxCBwAAGIvQAQAAxiJ0AACAsQgdAABgLEIHAAAYi9ABAADGInQAAICxCB0AAGAsQgcAABjLiNB56623NHr0aF1//fV64YUXAj0OAAAIEn0CPUB3/fnPf5bL5dKWLVsUExOj9PR0TZs2TUOGDAn0aAAAIMB6/Sc6ZWVlGjt2rIYNG6aBAwcqNzdX77zzTqDHAgAAQSDgoVNaWqq8vDwlJibKZrNpw4YNHfZxu91KSUlRv379NH78eJWVlfleO3LkiIYNG+Z7PmzYMH322WdXYnQAABDkAh46Ho9Hdrtdbrf7vK+vXbtWLpdLixcv1p49e2S325WTk6OGhoYrPCkAAOhtAr5GJzc3V7m5uRd8ffny5Zo7d64KCgokSStXrtTGjRu1atUqLViwQImJie0+wfnss8+UlZV1weO1traqtbXV97ypqUmS1Nzc3N1fpQNv6xm/HxOXpyf+nn+Nv23g8Lc1U0//XWGer/43Y1nWxXe0gogka/369b7nra2tVnh4eLttlmVZs2bNsvLz8y3Lsqxz585ZI0eOtD799FPr9OnT1qhRo6xjx45d8D0WL15sSeLBgwcPHjx4GPCora29aFsE/BOdizl27Jja2toUHx/fbnt8fLw++ugjSVKfPn30k5/8RJMmTZLX69Xjjz9+0TOuFi5cKJfL5Xvu9Xp14sQJDRkyRDabrWd+kV6oublZSUlJqq2tVXR0dKDHgZ/wdzUXf1tz8bc9P8uydPr0aSUmJl50v6AOncuVn5+v/Pz8y9o3MjJSkZGR7bYNGjSoB6YyQ3R0NP/HMhB/V3PxtzUXf9uOYmJiLrlPwBcjX0xcXJzCw8NVX1/fbnt9fb0SEhICNBUAAOgtgjp0IiIilJ6erpKSEt82r9erkpISTZgwIYCTAQCA3iDgX121tLSourra97ympkaVlZWKjY1VcnKyXC6XHA6HMjIylJWVpaKiInk8Ht9ZWOgZkZGRWrx4cYev+dC78Xc1F39bc/G37R7b/z/bKWC2bt2qSZMmddjucDhUXFwsSXr22We1bNky1dXVKS0tTT/96U81fvz4KzwpAADobQIeOgAAAD0lqNfoAAAAdAehAwAAjEXoAAAAYxE66OBid4tH71RaWqq8vDwlJibKZrNpw4YNgR4JfrJkyRJlZmYqKipKV199taZOnaqPP/440GOhm37+859r3LhxvosETpgwQb/73e8CPVavROigHe4WbyaPxyO73S632x3oUeBn27Ztk9Pp1O9//3tt3rxZ586d0z/+4z/K4/EEejR0w/Dhw7V06VJVVFRo9+7d+uY3v6kpU6Zo3759gR6t1+GsK7Qzfvx4ZWZm6tlnn5X05QUak5KS9NBDD2nBggUBng7+YLPZtH79ek2dOjXQo6AHNDY26uqrr9a2bdv0D//wD4EeB34UGxurZcuW6f777w/0KL0Kn+jA5+zZs6qoqFB2drZvW1hYmLKzs7Vr164ATgbgcjU1NUn68h9FmKGtrU2vvPKKPB4PdwXogoBfGRnB43LuFg8geHm9Xj388MP6xje+oRtuuCHQ46CbPvzwQ02YMEFffPGFBg4cqPXr1ys1NTXQY/U6hA4AGMLpdOoPf/iD3n///UCPAj8YPXq0Kisr1dTUpN/85jdyOBzatm0bsdNJhA58uFs80HsVFhbqrbfeUmlpqYYPHx7oceAHERERGjlypCQpPT1d5eXlWrFihX7xi18EeLLehTU68OFu8UDvY1mWCgsLtX79er333nu67rrrAj0SeojX61Vra2ugx+h1+EQH7XC3eDO1tLSourra97ympkaVlZWKjY1VcnJyACdDdzmdTq1Zs0avv/66oqKiVFdXJ0mKiYlR//79AzwdumrhwoXKzc1VcnKyTp8+rTVr1mjr1q16++23Az1ar8Pp5eiAu8WbZ+vWrZo0aVKH7Q6HQ8XFxVd+IPiNzWY77/bVq1dr9uzZV3YY+M3999+vkpISHT16VDExMRo3bpz+/d//XXfccUegR+t1CB0AAGAs1ugAAABjEToAAMBYhA4AADAWoQMAAIxF6AAAAGMROgAAwFiEDgAAMBahAwAAjEXoAOiy2bNny2az6YEHHujwmtPplM1mC+qr8xYXF2vQoEGd/rmtW7fKZrPp1KlTfp8JgH8ROgC6JSkpSa+88oo+//xz37YvvvhCa9as6dH7aJ09e7bHjg3AHIQOgG75+7//eyUlJem1117zbXvttdeUnJysm266ybdt06ZNuuWWWzRo0CANGTJE3/72t/WnP/2p3bE+/fRTzZgxQ7GxsbrqqquUkZGhDz74QJL05JNPKi0tTS+88IKuu+469evXT5J0+PBhTZkyRQMHDlR0dLS+853vqL6+3nfMvXv3atKkSYqKilJ0dLTS09O1e/dubd26VQUFBWpqapLNZpPNZtOTTz4pSfrf//1fZWRkKCoqSgkJCbrnnnvU0NAgSTp48KDvvmGDBw9u96mV1+vVkiVLdN1116l///6y2+36zW9+45vl5MmTmjlzpoYOHar+/fvr+uuv1+rVq/30lwBwPoQOgG6bM2dOu3+wV61a1eGO9x6PRy6XS7t371ZJSYnCwsI0bdo0eb1eSV/eYf22227TZ599pjfeeEN79+7V448/7ntdkqqrq7Vu3Tq99tprqqyslNfr1ZQpU3TixAlt27ZNmzdv1oEDBzR9+nTfz8ycOVPDhw9XeXm5KioqtGDBAvXt21c333yzioqKFB0draNHj+ro0aN69NFHJUnnzp3T008/rb1792rDhg06ePCgL2aSkpK0bt06SdLHH3+so0ePasWKFZKkJUuW6KWXXtLKlSu1b98+zZ8/X/fee6+2bdsmSXriiSdUVVWl3/3ud9q/f79+/vOfKy4uzs9/DQDtWADQRQ6Hw5oyZYrV0NBgRUZGWgcPHrQOHjxo9evXz2psbLSmTJliORyO8/5sY2OjJcn68MMPLcuyrF/84hdWVFSUdfz48fPuv3jxYqtv375WQ0ODb9s777xjhYeHW4cPH/Zt27dvnyXJKisrsyzLsqKioqzi4uLzHnP16tVWTEzMJX/P8vJyS5J1+vRpy7Isa8uWLZYk6+TJk759vvjiC2vAgAHWzp072/3s/fffb82YMcOyLMvKy8uzCgoKLvl+APyHT3QAdNvQoUM1efJkFRcXa/Xq1Zo8eXKHTyo++eQTzZgxQyNGjFB0dLRSUlIkffnVkyRVVlbqpptuUmxs7AXf59prr9XQoUN9z/fv36+kpCQlJSX5tqWmpmrQoEHav3+/JMnlculf//VflZ2draVLl3b4uux8KioqlJeXp+TkZEVFRem2225rN+v5VFdX68yZM7rjjjs0cOBA3+Oll17yveeDDz6oV155RWlpaXr88ce1c+fOS84CoHsIHQB+MWfOHBUXF+vFF1/UnDlzOryel5enEydO6Pnnn9cHH3zgW3vz1aLi/v37X/I9rrrqqk7P9eSTT2rfvn2aPHmy3nvvPaWmpmr9+vUX3N/j8SgnJ0fR0dF6+eWXVV5e7tv/YgugW1paJEkbN25UZWWl71FVVeVbp5Obm6tDhw5p/vz5OnLkiG6//Xbf12UAegahA8AvvvWtb+ns2bM6d+6ccnJy2r12/Phxffzxx/rhD3+o22+/XWPGjNHJkyfb7TNu3DhVVlbqxIkTl/2eY8aMUW1trWpra33bqqqqdOrUKaWmpvq2jRo1SvPnz9c777yju+66y7eeKCIiQm1tbe2O+dFHH+n48eNaunSpbr31Vn3ta1/zLUT+SkREhCS1+9nU1FRFRkbq8OHDGjlyZLvHX3/iNHToUDkcDv3yl79UUVGRnnvuucv+fQF0HqEDwC/Cw8O1f/9+VVVVKTw8vN1rgwcP1pAhQ/Tcc8+purpa7733nlwuV7t9ZsyYoYSEBE2dOlU7duzQgQMHtG7dOu3ateuC75mdna0bb7xRM2fO1J49e1RWVqZZs2bptttuU0ZGhj7//HMVFhZq69atOnTokHbs2KHy8nKNGTNGkpSSkqKWlhaVlJTo2LFjOnPmjJKTkxUREaFnnnlGBw4c0BtvvKGnn3663ftee+21stlseuutt9TY2KiWlhZFRUXp0Ucf1fz58/Xiiy/qT3/6k/bs2aNnnnlGL774oiRp0aJFev3111VdXa19+/bprbfe8s0CoIcEepEQgN7rq8XIF/LXi5E3b95sjRkzxoqMjLTGjRtnbd261ZJkrV+/3rf/wYMHrX/6p3+yoqOjrQEDBlgZGRnWBx98YFnWl4uR7XZ7h/c4dOiQlZ+fb1111VVWVFSUdffdd1t1dXWWZVlWa2ur9S//8i9WUlKSFRERYSUmJlqFhYXW559/7vv5Bx54wBoyZIglyVq8eLFlWZa1Zs0aKyUlxYqMjLQmTJhgvfHGG5Yk6//+7/98P/fUU09ZCQkJls1m8/2OXq/XKioqskaPHm317dvXGjp0qJWTk2Nt27bNsizLevrpp60xY8ZY/fv3t2JjY60pU6ZYBw4c6Nx/dACdYrMsywpwawEAAPQIvroCAADGInQAAICxCB0AAGAsQgcAABiL0AEAAMYidAAAgLEIHQAAYCxCBwAAGIvQAQAAxiJ0AACAsQgdAABgLEIHAAAY6/8B18Hyg/10Z2UAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kin.plotRates()" ] }, { "cell_type": "code", "execution_count": 15, "id": "330ce91e", "metadata": { "execution": { "iopub.execute_input": "2026-06-02T15:46:21.925161Z", "iopub.status.busy": "2026-06-02T15:46:21.925047Z", "iopub.status.idle": "2026-06-02T15:46:22.146651Z", "shell.execute_reply": "2026-06-02T15:46:22.146401Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Path flux\t\t%path\t%of total\tpath\n", "0.014825165238110399\t100.0%\t100.0%\t\t[3 2]\n" ] } ], "source": [ "kin.plotFluxPathways()" ] }, { "cell_type": "markdown", "id": "f5e38fdd", "metadata": {}, "source": [ "Flux pathways visualise the dominant transition routes in TPT (transition-path theory) form - which intermediates the protein actually visits on its way from unfolded to folded.\n", "\n", "## Parameters that matter\n", "\n", "| Knob | Effect |\n", "| --- | --- |\n", "| `MetricSelfDistance(... metric=\"contacts\")` | Contact features are coarser but more robust than raw distances - the binary thresholding makes clusters insensitive to small Cα-Cα fluctuations within a folded basin. |\n", "| `TICA(data, 2, units=\"ns\")` lag | Set a few times the fastest non-trivial relaxation. Too small → noise; too large → loses fast slow modes. |\n", "| `tica.project(3)` | Number of TIC coordinates kept. 3-5 is typical; check the eigenvalue spectrum to decide. |\n", "| `MiniBatchKMeans(n_clusters=1000)` | More clusters = finer microstate resolution but slower. 500-2000 is the usual range. |\n", "| `model.markovModel(25, 4, units=\"ns\")` lag | Read off the ITS plot - shortest lag at which slow timescales plateau. |\n", "| `model.markovModel(..., macronum=4)` | PCCA macrostates. Look at the timescale gaps in the ITS plot to pick the number. |\n", "\n", "## Gotchas\n", "\n", "- **ITS plateau, not minimum.** Pick the lag where slow timescales *first level off*, not where they're highest. Too-long lags throw away kinetic resolution for no gain.\n", "- **`bootstrap(0.8)`** lets you get deviations / error bars and see whether the model is sample-stable. Re-run with several bootstrap draws and compare; if different bootstraps give wildly different ITS / states, your dataset is undersampled.\n", "- **Macrostate count is a judgement call.** Look at the timescale gap pattern - if you see a clear gap after k slow timescales, take k+1 macrostates.\n", "\n", "## See also\n", "\n", "- {doc}`MSM workflow explanation <../../explanation/msm-workflow>` - the conceptual pipeline behind these calls.\n", "- {doc}`Ligand binding MSM ` - the same pipeline for a binding system (uses `MetricDistance` between protein and ligand instead of `MetricSelfDistance` on the protein).\n", "- {doc}`Adaptive sampling <../adaptive/index>` - how to *generate* the trajectory set that feeds this analysis." ] } ], "metadata": { "jupytext": { "default_lexer": "python" }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.7" } }, "nbformat": 4, "nbformat_minor": 5 }