{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Protein-ligand binding process analysis with MSM" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "In this tutorial, we demonstrate how to use the HTMD code for analysing a protein-ligand binding process.\n", "\n", "To analyze, one needs MD trajectories first, which can be generated with HTMD. Here, we already provide the trajectories (data) to analyze. You can download the data from [here](http://pub.htmd.org/tutorials/ligand-binding-analysis/datasets.tar.gz). (**Warning: 3GB filesize**)\n", "\n", "Alternatively, you can download the dataset using `wget`." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import os\n", "assert os.system('wget -rcN -np -nH -q --cut-dirs=2 -R index.html* http://pub.htmd.org/tutorials/ligand-binding-analysis/ligand_binding_datasets/') == 0" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Getting started" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "First we import the modules we are going to need for the tutorial:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2024-06-12 11:23:37,926 - numexpr.utils - INFO - Note: NumExpr detected 32 cores but \"NUMEXPR_MAX_THREADS\" not set, so enforcing safe limit of 8.\n", "2024-06-12 11:23:37,927 - numexpr.utils - INFO - NumExpr defaulting to 8 threads.\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 (2.3.28+12.gad324f0cf.dirty).\n", "\n" ] } ], "source": [ "from htmd.ui import *\n", "from moleculekit.config import config\n", "\n", "config(viewer='webgl')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Creating a simulation list" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the purposes of an analysis, full atom information is required by HTMD. Therefore each simulation trajectory has to be associated with a corresponding PDB file. Additionally, if you plan to run adaptive, each trajectory needs to be associated with an input directory which contains the files used to run the simulations. The `simlist` function allows us to make these associations\n", "\n", "```python\n", "sims = simlist(glob('data/*/'), glob('input/*/structure.pdb'), glob('input/*/'))\n", "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Filtering trajectories" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Typically waters are removed from the trajectories as they are not used in the analysis and it helps speed up further calculations. These filtered trajectories are written into a new directory. The advantage of filtering is that if your input structures only differ in the number of water molecules, you can produce a single unique pdb file for all simulations once you remove the waters, which will speed up calculations. This step is not necessary for the analysis and you can skip it if you don't mind the slowdown in calculations. In that case replace in the following commands the fsims variable with sims.\n", "```python\n", "fsims = simfilter(sims, './filtered/', filtersel='not water')\n", "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "In this tutorial, in order for the trajectories to be downloaded in a timely manner, we provide only the filtered trajectories, which are stored in three separate dataset folders. Therefore we will skip the above two commands and construct the simulation list directly from the filtered trajectories:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Creating simlist: 100%|████████████████████████████████████████████████████████████████████| 230/230 [00:01<00:00, 158.21it/s]\n", "Creating simlist: 100%|████████████████████████████████████████████████████████████████████| 309/309 [00:01<00:00, 160.35it/s]\n", "Creating simlist: 100%|████████████████████████████████████████████████████████████████████| 314/314 [00:02<00:00, 155.95it/s]\n" ] } ], "source": [ "sets = glob('ligand_binding_datasets/*/')\n", "sims = []\n", "for s in sets:\n", " fsims = simlist(glob(s + '/filtered/*/'), 'ligand_binding_datasets/1/filtered/')\n", " sims = simmerge(sims, fsims)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Calculating metrics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To build a Markov state model we need to project the atom coordinates onto a lower dimensional space which can be used for clustering the conformations into a set of states. For protein systems we typically use the binary contact map between the carbon alpha atoms of the protein. This will calculate contacts between all carbon-alpha atoms. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Projecting trajectories: 100%|██████████████████████████████████████████████████████████████| 852/852 [01:23<00:00, 10.21it/s]\n", "2024-06-12 11:25:09,010 - htmd.projections.metric - INFO - Frame step 0.001ns 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(MetricDistance('protein and name CA', 'resname MOL and noh', periodic='selections', metric='contacts'))\n", "data = metr.project()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we also provide the frame-step in nanoseconds i.e. the time that passes between two consecutive frames in a trajectory. This should be automatically read from the trajectories, but some simulation software does not contain the correct fstep in the trajectories, so it can be useful to manually define it:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "data.fstep = 0.1" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Removing trajectories" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sometimes the set of trajectories can contain trajectories of incorrect length. These are typically corrupted trajectories and are removed.\n", "\n", "The `plotTrajSizes` method plots all trajectory lengths, sorted:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data.plotTrajSizes()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "The `dropTraj` method has multiple options for removing simulations from the dataset. Here, we use it to remove all trajectories whose length is not equal to the mode length:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2024-06-12 11:25:09,346 - htmd.metricdata - INFO - Dropped 2 trajectories from 852 resulting in 850\n" ] }, { "data": { "text/plain": [ "array([413, 479])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.dropTraj()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## TICA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "TICA is a method that can be used to improve the clustering of the conformations. This is done by projecting the data onto a lower-dimensional space which separates well the metastable minima and places clusters on the transition regions. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "tica = TICA(data, 2, units='ns')\n", "dataTica = tica.project(3)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Bootstrapping" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "If we want to bootstrap our calculations we can at this point drop a random 20% of the trajectories and do the rest of the analysis multiple times to see if the results are consistent. Alternatively we can keep on using dataTica in the following commands. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "dataBoot = dataTica.bootstrap(0.8)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Clustering conformations" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "Once we have cleaned the dataset we proceed to cluster the conformations.\n", "\n", "Here we use the mini-batch kmeans clustering algorithm to produce 1000 clusters." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "dataBoot.cluster(MiniBatchKMeans(n_clusters=1000))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Building the Markov model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After clustering it is time to build the Markov model." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "model = Model(dataBoot)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before constructing the Markov model, we need to choose the lag-time at which it will be built. The lag-time is typically chosen by looking at the implied timescale (ITS) plot and selecting a lag-time at which the top timescales start converging. By constructing Markov models at various lag times HTMD creates a plot which shows the slowest implied timescales of each Markov model at various lag times. If a model is Markovian at a specific lag time, the implied timescales should stay unchanged for any higher lag times. Therefore, given an implied timescales plot, the user can monitor the convergence and choose the lag time at which to construct his Markov model, typically the Markov time which is the shortest lag time at which the timescales converge. Too large lag times can reduce the temporal resolution of the Markov model and can create more statistical uncertainty due to fewer transition counts and thus instability in the implied timescales. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Estimating Timescales: 100%|██████████████████████████████████████████████████████████████████| 26/26 [00:31<00:00, 1.20s/it]\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.plotTimescales(maxlag=15, units=\"ns\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After seeing the ITS plot we decided on a lag-time of 50 frames (5ns). Additionally the ITS plot showed us that there is a separation between 4 slow timescales and the rest of the timescales which are fast. Therefore we choose to lump our microstates together into 5 macrostates. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2024-06-12 11:26:24,340 - htmd.model - INFO - 100.0% of the data was used\n", "2024-06-12 11:26:24,380 - htmd.model - INFO - Number of trajectories that visited each macrostate:\n", "2024-06-12 11:26:24,381 - htmd.model - INFO - [153 105 122 355 226]\n" ] } ], "source": [ "model.markovModel(5, 5, units='ns')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Once we have a Markov model we can plot the free energy surface by projecting it on any of our projected coordinates. For example to plot it on the first two TICA coordinates we call it like this." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████| 964/964 [00:00<00:00, 2210.76it/s]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.plotFES(0, 1, temperature=298)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We can also plot the micro and macrostates on top of the FES by setting `states=True`" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████| 964/964 [00:00<00:00, 2198.93it/s]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.plotFES(0, 1, temperature=298, states=True)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Visualizing the states" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "To see what the states look like we can use the `viewStates` method. We load the macrostates and add a ligand representation using the ligand atomselection." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Getting state Molecules: 100%|██████████████████████████████████████████████████████████████████| 5/5 [00:00<00:00, 6.23it/s]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "702b2540559140afb091c22e08d2dbce", "version_major": 2, "version_minor": 0 }, "text/plain": [] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "aa530de5d8d4431ca6c554e96f6bdfcd", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(Checkbox(value=True, description='macro 0'), Checkbox(value=True, description='macro 1'), Check…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "0cdcc198009a45de80604cf5cf0dca4d", "version_major": 2, "version_minor": 0 }, "text/plain": [ "NGLWidget()" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.viewStates(ligand='resname MOL and noh')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Calculating the kinetics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One of the major advantages of Markov state models is that they can provide quantitative results about the kinetics between states.\n", "\n", "Provide the `Kinetics` class with the system temperature and ligand concentration. It automatically then calculates the source and sink states." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2024-06-12 11:26:28,041 - htmd.kinetics - INFO - Detecting source state...\n", "2024-06-12 11:26:28,264 - htmd.kinetics - INFO - Guessing the source state as the state with minimum contacts.\n", "2024-06-12 11:26:28,265 - htmd.kinetics - INFO - Source macro = 3\n", "2024-06-12 11:26:28,265 - htmd.kinetics - INFO - Detecting sink state...\n", "2024-06-12 11:26:28,266 - htmd.kinetics - INFO - Sink macro = 4\n" ] } ], "source": [ "kin = Kinetics(model, temperature=298, concentration=0.0037)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "To see the rates between the source and sink states we use the getRates method." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2024-06-12 11:26:28,269 - htmd.kinetics - INFO - Calculating rates between source: [3] and sink: [4] states.\n", "2024-06-12 11:26:42,317 - htmd.kinetics - INFO - Concentration correction of -3.32 kcal/mol.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "mfpton = 1.16E+03 (ns)\n", "mfptoff = 4.20E+03 (ns)\n", "kon = 2.32E+08 (1/M 1/s)\n", "koff = 2.38E+05 (1/s)\n", "koff/kon = 1.02E-03 (M)\n", "kdeq = 8.06E-04 (M)\n", "g0eq = -4.22 (kcal/M)\n", "\n" ] } ], "source": [ "r = kin.getRates()\n", "print(r)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "To plot the free energies and mean first passage times of all state relative to the source state, use the `plotRates` method:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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884wefvhhhYWFKSQkRIsWLdKTTz7pipwAAAAu4fCRoZMnTyo0NFTS5fVBV75K/9BDD+m7775zbjoAAAAXc7gM1a5dW2lpaZKkhg0b6rPPPpN0+YhRlSpVnJkNAADA5RwuQ08//bR27dolSYqNjbWvHYqJidHLL7/s9IBXTJo0Sa1atVKlSpWKXbqioqJksVgKbC1btnRZRgAAUPo4vGbo6p/baNu2rfbv369t27apTp06atKkiVPDXS0vL0+9e/dWRESEPvroo2LvFxkZqblz59rvV6hQwRXxAABAKXXLv01Ws2ZN1axZ0xlZijR+/HhJ0rx58xzaz2q1KiAgwAWJAABAWeDwabKhQ4dqxowZhcZnzpypYcOGOSOTU61fv15+fn6qV6+eBg0apOzs7CLn5+bmKicnp8AGAADKLofL0NKlS/Xggw8WGm/VqpX+97//OSWUs3Tu3FmLFi3S2rVrNXXqVCUlJaldu3bKzc297j7x8fHy8fGxb8HBwSWYGAAAlDSHy9CJEyfk4+NTaNzb21vHjx936Lni4uIKLXD+87Zt2zZHI9r16dNHXbp0UaNGjdS1a1etWrVKP//8s1auXHndfWJjY2Wz2exbRkbGTb8+AAC4/Tm8ZigsLEzffPONoqOjC4yvWrVKtWvXdui5oqOj1bdv3yLn1KpVy9GI1xUYGKiQkBD98ssv151jtVpltVqd9poAAOD25nAZGj58uKKjo3Xs2DG1a9dOkrRmzRpNnTpV06dPd+i5fH195evr62iEm3bixAllZGQoMDCwxF4TAADc3hwuQ88884xyc3M1adIkTZgwQdLlozezZ8/WgAEDnB7wivT0dJ08eVLp6em6dOmSdu7cKenykSpPT09JUv369RUfH68ePXro7NmziouLU69evRQYGKi0tDS9+uqr8vX1VY8ePVyWEwAAlC439dX6F198US+++KKOHTsmDw8PexlxpbFjx2r+/Pn2+02bNpUkrVu3Tm3atJEkpaSkyGazSZLKlSun3bt3a8GCBTp9+rQCAwPVtm1bLVmyRF5eXi7PCwAASgeHy9DChQv11FNPSZKqV69e4LGXX35Zb775pnOS/cm8efNueI0hwzDstz08PPTtt9+6JAsAACg7HP42WXR0tFasWFFoPCYmRgsXLnRKKAAAgJLicBlavHixnnrqqQK/UP/SSy/ps88+07p165waDgAAwNUcLkORkZF677331L17d23btk1DhgzRsmXLtG7dOtWvX98VGQEAAFzmphZQ9+3bV6dOndJDDz2k6tWrKzExUWFhYc7OBgAA4HLFKkPDhw+/5rifn5+aNm2qWbNm2cemTZvmnGQAAAAloFhlKDk5+ZrjderUUU5Ojv1xi8XivGQAAAAloFhliIXRAACgrHJ4ATUAAEBZUqwyNHjw4GL/evuSJUu0aNGiWwoFAABQUop1mqx69epq1KiRWrVqpccff1zNmzdXUFCQKlasqFOnTmnv3r3asGGDFi9erLvvvltz5sxxdW4AAACnKFYZmjBhgl566SV99NFHeu+99/TTTz8VeNzLy0vt27fXhx9+qI4dO7okKAAAgCsU+zpDfn5+io2NVWxsrE6fPq3Dhw/r/Pnz8vX1VZ06dfgmGQAAKJVu6qKLVapUUZUqVZwcBQAAoOTxbTIAAGBqlCEAAGBqlCEAAGBqlCEAAGBqDpehuLg4HT582BVZAAAASpzDZeirr75SnTp19Oijj+rTTz/VhQsXXJELAACgRDhchrZv364dO3YoPDxcMTExCgwM1IsvvqikpCRX5AMAAHCpm1ozFB4errfffltHjhzRxx9/rCNHjujBBx9U48aN9c4778hmszk7JwAAgEvc0gLq/Px85eXlKTc3V4ZhqGrVqpo9e7aCg4O1ZMkSZ2UEAABwmZsqQ9u3b1d0dLQCAwMVExOjpk2bat++fUpMTNT+/fs1btw4DR061NlZAQAAnM7hMhQeHq6WLVsqNTVVH330kTIyMvT6668rLCzMPmfAgAE6duyYU4MCAAC4gsO/Tda7d28988wzuvvuu687p3r16srPz7+lYAAAACXB4TI0ZswYV+QAAABwC4fL0PDhw685brFYVLFiRYWFhalbt26qWrXqLYcDAABwNYfLUHJysnbs2KFLly7pnnvukWEY+uWXX1SuXDnVr19fs2bN0j//+U9t2LBBDRs2dEVmAAAAp3F4AXW3bt3Uvn17HT161H4BxiNHjqhDhw564okndOTIET3yyCOKiYlxRV4AAACncrgMvfnmm5owYYK8vb3tY97e3oqLi9Mbb7yhSpUqaezYsdq+fbtTgwIAALiCw2XIZrMpOzu70PixY8eUk5MjSapSpYry8vJuPR0AAICL3dRpsmeeeUbLly/Xr7/+qiNHjmj58uV69tln1b17d0nS1q1bVa9ePaeFTEtL07PPPqvQ0FB5eHioTp06Gjdu3A0Ll2EYiouLU1BQkDw8PNSmTRvt2bPHabkAAEDp5/AC6vfff18xMTHq27ev/vjjj8tPcuedGjhwoN5++21JUv369fXhhx86LeT+/fuVn5+v999/X2FhYfrpp580aNAgnTt3Tm+99dZ193vjjTc0bdo0zZs3T/Xq1dPEiRPVoUMHpaSkyMvLy2n5AABA6eVQGbp06ZK2b9+uKVOm6O2339ahQ4dkGIbq1KkjT09P+7x7773XqSEjIyMVGRlpv1+7dm2lpKRo9uzZ1y1DhmFo+vTpGj16tHr27ClJmj9/vvz9/fXpp5/qhRdecGpGAABQOjl0mqxcuXLq1KmTbDabPD09FR4eriZNmhQoQiXFZrMVeS2j1NRUZWVlqWPHjvYxq9Wq1q1ba+PGjdfdLzc3Vzk5OQU2AABQdjm8Zqhx48Y6dOiQK7IU28GDB/Xuu+9q8ODB152TlZUlSfL39y8w7u/vb3/sWuLj4+Xj42PfgoODnRMaAADclhwuQ5MmTdKIESO0YsUKZWZm3tJRlLi4OFksliK3bdu2Fdjn6NGjioyMVO/evfXcc8/d8DUsFkuB+4ZhFBq7WmxsrGw2m33LyMhw6D0BAIDSxeEF1FfW7jz++OMFSsWVknHp0qViP1d0dLT69u1b5JxatWrZbx89elRt27ZVRESE5syZU+R+AQEBki4fIQoMDLSPZ2dnFzpadDWr1Sqr1VqM9AAAoCxwuAytW7fOaS/u6+srX1/fYs09cuSI2rZtq2bNmmnu3Lm6446iD2qFhoYqICBAq1evVtOmTSVJeXl5SkxM1JQpU245u7Okvd7F3REAADA1h8tQ69atXZGjSEePHlWbNm1Us2ZNvfXWWzp27Jj9sStHgKTLX+mPj49Xjx49ZLFYNGzYME2ePFl169ZV3bp1NXnyZFWqVEn9+vUr8fcAAABuTw6XIUn6/vvv9f777+vQoUP673//q7vvvluffPKJQkND9dBDDzk7oxISEnTgwAEdOHBANWrUKPCYYRj22ykpKbLZbPb7I0eO1Pnz5zVkyBCdOnVKLVq0UEJCAtcYAgAAdg4voF66dKk6deokDw8P7dixQ7m5uZKkM2fOaPLkyU4PKElRUVEyDOOa29UMw1BUVJT9vsViUVxcnDIzM3XhwgUlJiaqUaNGLskIAABKJ4fL0MSJE/Xee+/pgw8+UPny5e3jrVq10o4dO5waDgAAwNUcLkMpKSl65JFHCo17e3vr9OnTzsgEAABQYhwuQ4GBgTpw4ECh8Q0bNqh27dpOCQUAAFBSHC5DL7zwgv7xj39oy5YtslgsOnr0qBYtWqQRI0ZoyJAhrsgIAADgMg5/m2zkyJGy2Wxq27atLly4oEceeURWq1UjRoxQdHS0KzICAAC4zE19tX7SpEkaPXq09u7dq/z8fDVs2NAtP9YKAABwq26qDElSpUqV1Lx5c2dmAQAAKHEOl6Fz587p9ddf15o1a5Sdna38/PwCj7v7F+0BAAAc4XAZeu6555SYmKj+/fsrMDCwyF+ABwAAuN05XIZWrVqllStX6sEHH3RFHgAAgBLl8Ffr77rrLlWtWtUVWQAAAEqcw2VowoQJGjt2rH7//XdX5AEAAChRDp8mmzp1qg4ePCh/f3/VqlWrwO+TSeL3yQAAQKnicBnq3r27C2IAAAC4h8NlaNy4ca7IAQAA4BYOrxmSpNOnT+vDDz9UbGysTp48Keny6bEjR444NRwAAICrOXxk6Mcff1T79u3l4+OjtLQ0DRo0SFWrVtXy5ct1+PBhLViwwBU5AQAAXMLhI0PDhw9XVFSUfvnlF1WsWNE+3rlzZ3333XdODQcAAOBqDpehpKQkvfDCC4XG7777bmVlZTklFAAAQElxuAxVrFhROTk5hcZTUlJUvXp1p4QCAAAoKQ6XoW7duum1117TxYsXJUkWi0Xp6ekaNWqUevXq5fSAAAAAruRwGXrrrbd07Ngx+fn56fz582rdurXCwsLk5eWlSZMmuSIjAACAyzj8bTJvb29t2LBBa9eu1Y4dO5Sfn6/77rtP7du3d0U+AAAAl3K4DF3Rrl07tWvXzplZAAAAStxNXXQRAACgrKAMAQAAU6MMAQAAU6MMAQAAU7upMnTw4EH961//0hNPPKHs7GxJ0jfffKM9e/Y4NRwAAICrOVyGEhMT1bhxY23ZskXLli3T2bNnJV3+Addx48Y5PSAAAIArOVyGRo0apYkTJ2r16tWqUKGCfbxt27batGmTU8MBAAC4msNlaPfu3erRo0eh8erVq+vEiRNOCfVnaWlpevbZZxUaGioPDw/VqVNH48aNU15eXpH7RUVFyWKxFNhatmzpkowAAKB0cviii1WqVFFmZqZCQ0MLjCcnJ+vuu+92WrCr7d+/X/n5+Xr//fcVFhamn376SYMGDdK5c+f01ltvFblvZGSk5s6da79/9dEsAAAAh8tQv3799Morr+i///2vLBaL8vPz9cMPP2jEiBEaMGCAKzIqMjJSkZGR9vu1a9dWSkqKZs+efcMyZLVaFRAQ4JJcAACg9HP4NNmkSZNUs2ZN3X333Tp79qwaNmyoRx55RK1atdK//vUvV2S8JpvNpqpVq95w3vr16+Xn56d69epp0KBB9m+/XU9ubq5ycnIKbAAAoOxy+MhQ+fLltWjRIr322mtKTk5Wfn6+mjZtqrp167oi3zUdPHhQ7777rqZOnVrkvM6dO6t3794KCQlRamqqxowZo3bt2mn79u2yWq3X3Cc+Pl7jx493RWwAAHAbuumLLgYHB6tx48bq2bPnTRehuLi4Qguc/7xt27atwD5Hjx5VZGSkevfureeee67I5+/Tp4+6dOmiRo0aqWvXrlq1apV+/vlnrVy58rr7xMbGymaz2beMjIybem8AAKB0cPjI0O+//66XXnpJ8+fPlyT9/PPPql27toYOHaqgoCCNGjWq2M8VHR2tvn37FjmnVq1a9ttHjx5V27ZtFRERoTlz5jgaXYGBgQoJCdEvv/xy3TlWq/W6R40AAEDZ43AZio2N1a5du7R+/foCi5rbt2+vcePGOVSGfH195evrW6y5R44cUdu2bdWsWTPNnTtXd9zh+EGtEydOKCMjQ4GBgQ7vi7Il7fUu7o4AALhNONwoPv/8c82cOVMPPfSQLBaLfbxhw4Y6ePCgU8NdcfToUbVp00bBwcF66623dOzYMWVlZSkrK6vAvPr162v58uWSpLNnz2rEiBHatGmT0tLStH79enXt2lW+vr7XvE4SAAAwJ4ePDB07dkx+fn6Fxs+dO1egHDlTQkKCDhw4oAMHDqhGjRoFHjMMw347JSVFNptNklSuXDnt3r1bCxYs0OnTpxUYGKi2bdtqyZIl8vLycklOAABQ+jhchu6//36tXLlSL730kiTZC9AHH3ygiIgI56b7f6KiohQVFXXDeVcXIw8PD3377bcuyQMAAMoOh8tQfHy8IiMjtXfvXv3xxx965513tGfPHm3atEmJiYmuyAgAAOAyDq8ZatWqlTZu3Kjff/9dderUUUJCgvz9/bVp0yY1a9bMFRkBAABcxqEjQxcvXtTzzz+vMWPG2L9aDwAAUJo5dGSofPny9m9rAQAAlAUOnybr0aOHPv/8cxdEAQAAKHkOL6AOCwvThAkTtHHjRjVr1kyVK1cu8PjQoUOdFg4AAMDVHC5DH374oapUqaLt27dr+/btBR6zWCyUIQAAUKoUqwzl5OTI29tbkpSamurSQAAAACWpWGuG7rrrLmVnZ0uS2rVrp9OnT7syEwAAQIkpVhny9PTUiRMnJEnr16/XxYsXXRoKAACgpBTrNFn79u3Vtm1bNWjQQNLlb5RVqFDhmnPXrl3rvHQAAAAuVqwytHDhQs2fP18HDx5UYmKi/vKXv6hSpUquzgYAAOByxSpDHh4eGjx4sCRp27ZtmjJliqpUqeLKXAAAACXC4a/Wr1u3zhU5AAAA3MLhK1ADAACUJZQhAABgapQhAABgapQhAABgasVaQP3jjz8W+wnDw8NvOgwAAEBJK1YZuvfee2WxWGQYhiwWS5FzL1265JRgAAAAJaFYp8lSU1N16NAhpaamaunSpQoNDdWsWbOUnJys5ORkzZo1S3Xq1NHSpUtdnRcAAMCpinVkKCQkxH67d+/emjFjhh577DH7WHh4uIKDgzVmzBh1797d6SEBAABcxeEF1Lt371ZoaGih8dDQUO3du9cpoQAAAEqKw2WoQYMGmjhxoi5cuGAfy83N1cSJE+0/5AoAAFBaOPxzHO+99566du2q4OBgNWnSRJK0a9cuWSwWrVixwukBAQAAXMnhMvTAAw8oNTVVCxcu1P79+2UYhvr06aN+/fqpcuXKrsgIAADgMg6VoYsXL+qee+7RihUr9Pzzz7sqEwAAQIlxaM1Q+fLllZube8NrDQEAAJQWDi+gfumllzRlyhT98ccfrsgDAABQohxeM7RlyxatWbNGCQkJaty4caF1QsuWLXNaOAAAAFdz+MhQlSpV1KtXL3Xq1ElBQUHy8fEpsLnK448/rpo1a6pixYoKDAxU//79dfTo0SL3MQxDcXFxCgoKkoeHh9q0aaM9e/a4LCMAACh9HD4yNHfuXFfkuKG2bdvq1VdfVWBgoI4cOaIRI0bob3/7mzZu3Hjdfd544w1NmzZN8+bNU7169TRx4kR16NBBKSkp8vLyKsH0AADgduVwGXKXmJgY++2QkBCNGjVK3bt318WLF1W+fPlC8w3D0PTp0zV69Gj17NlTkjR//nz5+/vr008/1QsvvFBi2QEAwO3rpsrQ//73P3322WdKT09XXl5egcd27NjhlGBFOXnypBYtWqRWrVpdswhJl39cNisrSx07drSPWa1WtW7dWhs3brxuGcrNzVVubq79fk5OjnPDAwCA24rDa4ZmzJihp59+Wn5+fkpOTtYDDzygatWq6dChQ+rcubMrMtq98sorqly5sqpVq6b09HR98cUX152blZUlSfL39y8w7u/vb3/sWuLj4wusgQoODnZOeAAAcFtyuAzNmjVLc+bM0cyZM1WhQgWNHDlSq1ev1tChQ2Wz2Rx6rri4OFksliK3bdu22ee//PLLSk5OVkJCgsqVK6cBAwbIMIwiX+PP10QyDKPI6yTFxsbKZrPZt4yMDIfeEwAAKF0cPk2Wnp6uVq1aSZI8PDx05swZSVL//v3VsmVLzZw5s9jPFR0drb59+xY5p1atWvbbvr6+8vX1Vb169dSgQQMFBwdr8+bNioiIKLRfQECApMtHiAIDA+3j2dnZhY4WXc1qtcpqtRb7PQAAgNLN4TIUEBCgEydOKCQkRCEhIdq8ebOaNGmi1NTUGx6l+bMr5eZmXHmtq9f3XC00NFQBAQFavXq1mjZtKknKy8tTYmKipkyZclOvCQAAyh6HT5O1a9dOX331lSTp2WefVUxMjDp06KA+ffqoR48eTg8oSVu3btXMmTO1c+dOHT58WOvWrVO/fv1Up06dAkeF6tevr+XLl0u6fHps2LBhmjx5spYvX66ffvpJUVFRqlSpkvr16+eSnAAAoPRx+MjQnDlzlJ+fL0kaPHiwqlatqg0bNqhr164aPHiw0wNKl0/HLVu2TOPGjdO5c+cUGBioyMhILV68uMAprZSUlALrlkaOHKnz589ryJAhOnXqlFq0aKGEhASuMQQAAOwshqPntkwmJydHPj4+stls8vb2dnccoNSqNWqluyOUKmmvd3F3BNwC/r0Xn6v+rTvy97tYR4Z+/PHHYr94eHh4secCAAC4W7HK0L333iuLxXLDr6VL0qVLl5wSDAAAoCQUqwylpqbabycnJ2vEiBF6+eWX7YuXN23apKlTp+qNN95wTUoApR6nfQDcropVhkJCQuy3e/furRkzZuixxx6zj4WHhys4OFhjxoxR9+7dnR4SAADAVRz+av3u3bsVGhpaaDw0NFR79+51SigAAICS4nAZatCggSZOnKgLFy7Yx3JzczVx4kQ1aNDAqeEAAABczeHrDL333nvq2rWrgoOD1aRJE0nSrl27ZLFYtGLFCqcHBAAAcCWHy9ADDzyg1NRULVy4UPv375dhGOrTp4/69eunypUruyIjAACAyzhchiSpUqVKev75552dBQAAoMTdVBn6+eeftX79emVnZ9t/muOKsWPHOiUYAABASXC4DH3wwQd68cUX5evrq4CAgAIXYbRYLJQhAABQqjhchiZOnKhJkybplVdecUUeAACAEuXwV+tPnTql3r17uyILAABAiXO4DPXu3VsJCQmuyAIAAFDiHD5NFhYWpjFjxmjz5s1q3LixypcvX+DxoUOHOi0cAACAq1kMwzAc2eFaP8VhfzKLRYcOHbrlULeTnJwc+fj4yGazydvb291xAAClQK1RK90dodRw1Y84O/L32+EjQ1f/gj0AAEBp5/CaIQAAgLLkpi66+Ouvv+rLL79Uenq68vLyCjw2bdo0pwQDAAAoCQ6XoTVr1ujxxx9XaGioUlJS1KhRI6WlpckwDN13332uyAgAAOAyDp8mi42N1T//+U/99NNPqlixopYuXaqMjAy1bt2a6w8BAIBSx+EytG/fPg0cOFCSdOedd+r8+fPy9PTUa6+9pilTpjg9IAAAgCs5XIYqV66s3NxcSVJQUJAOHjxof+z48ePOSwYAAFACHF4z1LJlS/3www9q2LChunTpon/+85/avXu3li1bppYtW7oiIwAAgMs4XIamTZums2fPSpLi4uJ09uxZLVmyRGFhYXr77bedHhAAAMCVHC5DtWvXtt+uVKmSZs2a5dRAAAAAJcnhNUO1a9fWiRMnCo2fPn26QFECAAAoDRwuQ2lpabp06VKh8dzcXB05csQpoQAAAEpKsU+Tffnll/bb3377rXx8fOz3L126pDVr1qhWrVpODQcAAOBqxS5D3bt3l3T5l+mvXGfoivLly6tWrVqaOnWqU8MBAAC4WrHLUH5+viQpNDRUSUlJ8vX1dVkoAACAkuLwmqHU1FS3FKHHH39cNWvWVMWKFRUYGKj+/fvr6NGjRe4TFRUli8VSYONaSAAA4GrFLkNbtmzRqlWrCowtWLBAoaGh8vPz0/PPP2+/MrUrtG3bVp999plSUlK0dOlSHTx4UH/7299uuF9kZKQyMzPt29dff+2yjAAAoPQp9mmyuLg4tWnTRp07d5Yk7d69W88++6yioqLUoEEDvfnmmwoKClJcXJxLgsbExNhvh4SEaNSoUerevbsuXryo8uXLX3c/q9WqgIAAl2QCAAClX7GPDO3cuVOPPvqo/f7ixYvVokULffDBBxo+fLhmzJihzz77zCUh/+zkyZNatGiRWrVqVWQRkqT169fLz89P9erV06BBg5SdnV3k/NzcXOXk5BTYAABA2VXsMnTq1Cn5+/vb7ycmJioyMtJ+//7771dGRoZz0/3JK6+8osqVK6tatWpKT0/XF198UeT8zp07a9GiRVq7dq2mTp2qpKQktWvXrsjTefHx8fLx8bFvwcHBzn4bAADgNlLsMuTv76/U1FRJUl5ennbs2KGIiAj742fOnLnhUZo/i4uLK7TA+c/btm3b7PNffvllJScnKyEhQeXKldOAAQNkGMZ1n79Pnz7q0qWLGjVqpK5du2rVqlX6+eeftXLlyuvuExsbK5vNZt9cXfAAAIB7FXvNUGRkpEaNGqUpU6bo888/V6VKlfTwww/bH//xxx9Vp04dh148Ojpaffv2LXLO1Rdy9PX1la+vr+rVq6cGDRooODhYmzdvLlDKihIYGKiQkBD98ssv151jtVpltVqL9XwAAKD0K3YZmjhxonr27KnWrVvL09NT8+fPV4UKFeyPf/zxx+rYsaNDL36l3NyMK0eEHPkG24kTJ5SRkaHAwMCbek0AAFD2FLsMVa9eXd9//71sNps8PT1Vrly5Ao//97//laenp9MDStLWrVu1detWPfTQQ7rrrrt06NAhjR07VnXq1ClwVKh+/fqKj49Xjx49dPbsWcXFxalXr14KDAxUWlqaXn31Vfn6+qpHjx4uyQkAAEqfYpehK67+TbKrVa1a9ZbDXI+Hh4eWLVumcePG6dy5cwoMDFRkZKQWL15c4JRWSkqKbDabJKlcuXLavXu3FixYoNOnTyswMFBt27bVkiVL5OXl5bKsAACgdHG4DLlD48aNtXbt2hvOu3oxtYeHh7799ltXxgIAAGWAwz/HAQAAUJZQhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKlRhgAAgKmVujKUm5ure++9VxaLRTt37ixyrmEYiouLU1BQkDw8PNSmTRvt2bOnZIICAIBSodSVoZEjRyooKKhYc9944w1NmzZNM2fOVFJSkgICAtShQwedOXPGxSkBAEBpUarK0KpVq5SQkKC33nrrhnMNw9D06dM1evRo9ezZU40aNdL8+fP1+++/69NPPy2BtAAAoDQoNWXot99+06BBg/TJJ5+oUqVKN5yfmpqqrKwsdezY0T5mtVrVunVrbdy48br75ebmKicnp8AGAADKrlJRhgzDUFRUlAYPHqzmzZsXa5+srCxJkr+/f4Fxf39/+2PXEh8fLx8fH/sWHBx888EBAMBtz61lKC4uThaLpcht27Ztevfdd5WTk6PY2FiHX8NisRS4bxhGobGrxcbGymaz2beMjAyHXxMAAJQed7rzxaOjo9W3b98i59SqVUsTJ07U5s2bZbVaCzzWvHlzPfnkk5o/f36h/QICAiRdPkIUGBhoH8/Ozi50tOhqVqu10OsAAICyy61lyNfXV76+vjecN2PGDE2cONF+/+jRo+rUqZOWLFmiFi1aXHOf0NBQBQQEaPXq1WratKkkKS8vT4mJiZoyZYpz3gAAACj13FqGiqtmzZoF7nt6ekqS6tSpoxo1atjH69evr/j4ePXo0UMWi0XDhg3T5MmTVbduXdWtW1eTJ09WpUqV1K9fvxLNDwAAbl+logwVV0pKimw2m/3+yJEjdf78eQ0ZMkSnTp1SixYtlJCQIC8vLzemBAAAtxOLYRiGu0PcznJycuTj4yObzSZvb293xwEAlAK1Rq10d4RSI+31Li55Xkf+fpeKr9YDAAC4CmUIAACYGmUIAACYGmUIAACYGmUIAACYGmUIAACYGmUIAACYGmUIAACYGmUIAACYGmUIAACYGmUIAACYWpn6oVYAAG4Hrvq9LbgGR4YAAICpUYYAAICpUYYAAICpUYYAAICpUYYAAICpUYYAAICpUYYAAICpUYYAAICpUYYAAICpUYYAAICpUYYAAICpUYYAAICpUYYAAICpUYYAAICpUYYAAICpUYYAAICp3enuALc7wzAkSTk5OW5OAgAAiuvK3+0rf8eLQhm6gTNnzkiSgoOD3ZwEAAA46syZM/Lx8SlyjsUoTmUysfz8fB09elReXl6yWCzujuNyOTk5Cg4OVkZGhry9vd0dxzT43N2Dz909+Nzdw2yfu2EYOnPmjIKCgnTHHUWvCuLI0A3ccccdqlGjhrtjlDhvb29T/J/ldsPn7h587u7B5+4eZvrcb3RE6AoWUAMAAFOjDAEAAFOjDKEAq9WqcePGyWq1ujuKqfC5uwefu3vwubsHn/v1sYAaAACYGkeGAACAqVGGAACAqVGGAACAqVGGAACAqVGGUMCsWbMUGhqqihUrqlmzZvr+++/dHalM++6779S1a1cFBQXJYrHo888/d3ckU4iPj9f9998vLy8v+fn5qXv37kpJSXF3rDJv9uzZCg8Pt1/0LyIiQqtWrXJ3LFOJj4+XxWLRsGHD3B3ltkIZgt2SJUs0bNgwjR49WsnJyXr44YfVuXNnpaenuztamXXu3Dk1adJEM2fOdHcUU0lMTNTf//53bd68WatXr9Yff/yhjh076ty5c+6OVqbVqFFDr7/+urZt26Zt27apXbt26tatm/bs2ePuaKaQlJSkOXPmKDw83N1Rbjt8tR52LVq00H333afZs2fbxxo0aKDu3bsrPj7ejcnMwWKxaPny5erevbu7o5jOsWPH5Ofnp8TERD3yyCPujmMqVatW1Ztvvqlnn33W3VHKtLNnz+q+++7TrFmzNHHiRN17772aPn26u2PdNjgyBElSXl6etm/fro4dOxYY79ixozZu3OimVEDJsNlski7/YUbJuHTpkhYvXqxz584pIiLC3XHKvL///e/q0qWL2rdv7+4otyV+qBWSpOPHj+vSpUvy9/cvMO7v76+srCw3pQJczzAMDR8+XA899JAaNWrk7jhl3u7duxUREaELFy7I09NTy5cvV8OGDd0dq0xbvHixduzYoaSkJHdHuW1RhlCAxWIpcN8wjEJjQFkSHR2tH3/8URs2bHB3FFO45557tHPnTp0+fVpLly7VwIEDlZiYSCFykYyMDP3jH/9QQkKCKlas6O44ty3KECRJvr6+KleuXKGjQNnZ2YWOFgFlxUsvvaQvv/xS3333nWrUqOHuOKZQoUIFhYWFSZKaN2+upKQkvfPOO3r//ffdnKxs2r59u7Kzs9WsWTP72KVLl/Tdd99p5syZys3NVbly5dyY8PbAmiFIuvwfqGbNmmn16tUFxlevXq1WrVq5KRXgGoZhKDo6WsuWLdPatWsVGhrq7kimZRiGcnNz3R2jzHr00Ue1e/du7dy50741b95cTz75pHbu3EkR+n84MgS74cOHq3///mrevLkiIiI0Z84cpaena/Dgwe6OVmadPXtWBw4csN9PTU3Vzp07VbVqVdWsWdONycq2v//97/r000/1xRdfyMvLy35E1MfHRx4eHm5OV3a9+uqr6ty5s4KDg3XmzBktXrxY69ev1zfffOPuaGWWl5dXobVwlStXVrVq1VgjdxXKEOz69OmjEydO6LXXXlNmZqYaNWqkr7/+WiEhIe6OVmZt27ZNbdu2td8fPny4JGngwIGaN2+em1KVfVcuH9GmTZsC43PnzlVUVFTJBzKJ3377Tf3791dmZqZ8fHwUHh6ub775Rh06dHB3NJgc1xkCAACmxpohAABgapQhAABgapQhAABgapQhAABgapQhAABgapQhAABgapQhAABgapQhAABgapQhAC4TFRUli8VyzZ90GTJkiCwWy219xed58+apSpUqDu+3fv16WSwWnT592umZADgfZQiASwUHB2vx4sU6f/68fezChQv6z3/+49LfX7t48aLLnhtA2UIZAuBS9913n2rWrKlly5bZx5YtW6bg4GA1bdrUPvbNN9/ooYceUpUqVVStWjX99a9/1cGDBws816+//qq+ffuqatWqqly5spo3b64tW7ZIkuLi4nTvvffq448/Vu3atWW1WmUYhtLT09WtWzd5enrK29tb//d//6fffvvN/py7du1S27Zt5eXlJW9vbzVr1kzbtm3T+vXr9fTTT8tms8lischisSguLk6StHDhQjVv3lxeXl4KCAhQv379lJ2dLUlKS0uz/97cXXfdVeDol2EYeuONN1S7dm15eHioSZMm+t///mfPcurUKT355JOqXr26PDw8VLduXc2dO9d5/2MAuCbKEACXe/rppwv8Uf/444/1zDPPFJhz7tw5DR8+XElJSVqzZo3uuOMO9ejRQ/n5+ZKks2fPqnXr1jp69Ki+/PJL7dq1SyNHjrQ/LkkHDhzQZ599pqVLl2rnzp2SpO7du+vkyZNKTEzU6tWrdfDgQfXp08e+z5NPPqkaNWooKSlJ27dv16hRo1S+fHm1atVK06dPl7e3tzIzM5WZmakRI0ZIkvLy8jRhwgTt2rVLn3/+uVJTU+2FJzg4WEuXLpUkpaSkKDMzU++8844k6V//+pfmzp2r2bNna8+ePYqJidFTTz2lxMRESdKYMWO0d+9erVq1Svv27dPs2bPl6+vrxP8lAFyTAQAuMnDgQKNbt27GsWPHDKvVaqSmphppaWlGxYoVjWPHjhndunUzBg4ceM19s7OzDUnG7t27DcMwjPfff9/w8vIyTpw4cc3548aNM8qXL29kZ2fbxxISEoxy5coZ6enp9rE9e/YYkoytW7cahmEYXl5exrx58675nHPnzjV8fHxu+D63bt1qSDLOnDljGIZhrFu3zpBknDp1yj7n7NmzRsWKFY2NGzcW2PfZZ581nnjiCcMwDKNr167G008/fcPXA+BcHBkC4HK+vr7q0qWL5s+fr7lz56pLly6FjngcPHhQ/fr1U+3ateXt7a3Q0FBJUnp6uiRp586datq0qapWrXrd1wkJCVH16tXt9/ft26fg4GAFBwfbxxo2bKgqVapo3759kqThw4frueeeU/v27fX6668XOjV3LcnJyerWrZtCQkLk5eWlNm3aFMh6LXv37tWFCxfUoUMHeXp62rcFCxbYX/PFF1/U4sWLde+992rkyJHauHHjDbMAuHWUIQAl4plnntG8efM0f/78QqfIJKlr1646ceKEPvjgA23ZssW+FigvL0+S5OHhccPXqFy5coH7hmHIYrEUmnf1eFxcnPbs2aMuXbpo7dq1atiwoZYvX37d1zh37pw6duwoT09PLVy4UElJSfb5V7Jey5XTeStXrtTOnTvt2969e+3rhjp37qzDhw9r2LBhOnr0qB599FH7qTkArkMZAlAiIiMjlZeXp7y8PHXq1KnAYydOnNC+ffv0r3/9S48++qgaNGigU6dOFZgTHh6unTt36uTJk8V+zYYNGyo9PV0ZGRn2sb1798pms6lBgwb2sXr16ikmJkYJCQnq2bOnfX1ThQoVdOnSpQLPuX//fh0/flyvv/66Hn74YdWvX9++ePqKChUqSFKBfRs2bCir1ar09HSFhYUV2K4+clW9enVFRUVp4cKFmj59uubMmVPs9wvg5lCGAJSIcuXKad++fdq3b5/KlStX4LG77rpL1apV05w5c3TgwAGtXbtWw4cPLzDniSeeUEBAgLp3764ffvhBhw4d0tKlS7Vp06brvmb79u0VHh6uJ598Ujt27NDWrVs1YMAAtW7dWs2bN9f58+cVHR2t9evX6/Dhw/rhhx+UlJRkL0q1atXS2bNntWbNGh0/fly///67atasqQoVKujdd9/VoUOH9OWXX2rChAkFXjckJEQWi0UrVqzQsWPHdPbsWXl5eWnEiBGKiYnR/PnzdfDgQSUnJ+vf//635s+fL0kaO3asvvjiCx04cEB79uzRihUrCpQ2AC7i7kVLAMquKwuor+fqBdSrV682GjRoYFitViM8PNxYv369IclYvny5fX5aWprRq1cvw9vb26hUqZLRvHlzY8uWLYZhXF5A3aRJk0KvcfjwYePxxx83KleubHh5eRm9e/c2srKyDMMwjNzcXKNv375GcHCwUaFCBSMoKMiIjo42zp8/b99/8ODBRrVq1QxJxrhx4wzDMIxPP/3UqFWrlmG1Wo2IiAjjyy+/NCQZycnJ9v1ee+01IyAgwLBYLPb3mJ+fb7zzzjvGPffcY5QvX96oXr260alTJyMxMdEwDMOYMGGC0aBBA8PDw8OoWrWq0a1bN+PQoUOOfegAHGYxDMNwcx8DAABwG06TAQAAU6MMAQAAU6MMAQAAU6MMAQAAU6MMAQAAU6MMAQAAU6MMAQAAU6MMAQAAU6MMAQAAU6MMAQAAU6MMAQAAU6MMAQAAU/v/AGbq/YpgkPZSAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kin.plotRates()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "To visualize the kinetic flux pathways between the source and sink states, use the `plotFluxPathways` method:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Path flux\t\t%path\t%of total\tpath\n", "0.0006599371260586775\t65.0%\t65.0%\t\t[3 4]\n", "0.0003499436337491376\t34.5%\t99.4%\t\t[3 2 4]\n", "5.749329265805519e-06\t0.6%\t100.0%\t\t[3 1 4]\n" ] } ], "source": [ "kin.plotFluxPathways()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And this concludes the ligand binding tutorial." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "celltoolbar": "Slideshow", "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }