{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 10. Spatiocyte Simulations at Single-Molecule Resolution\n", "\n", "We showed an example of E-Cell4 spatial representation. \n", "Next let's simulate the models with more detailed spatial representation called \"single molecule resolution\"." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "from ecell4.prelude import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 10.1. Spatiocyte Lattice-based Method\n", "\n", "In spatical Gillespie method, we divided the `Space` into smaller `Space`, then we diffuse the molecules in the subvolumes.\n", "However, we treated the molecules in each subvolume just as the number of the molecules, and the location of the molecules are NOT determinated.\n", "\n", "In other words, the spatical resolution of spatical Gillespie method is equal to the side of a subvolume $l$.\n", "To improve this resolution, we need to make the size of $l$ small. But in this method the $l$ must be larger than the (at least) 10 times the diameter of molecule $R$.\n", "\n", "How can we improve the spatical resolution to the size of the molecule?\n", "The answer is the simulation with single-molecule resolution.\n", "This method simulate the molecule not with the number of the molecules, but with the spatical reaction diffusion of each molecule.\n", "\n", "E-Cell4 has multiple single-molecule resolution method, here we explain about Spatiocyte lattice-based method.\n", "Spatiocyte treats each molecule as hard spheres, and diffuses the molecules on hexagonal close-packed lattice.\n", "\n", "Spatiocyte has an ID for each molecule and the position of the molecule with single-molecule resolution.\n", "For the higher spatial resolution, Spatiocyte has 100 times smaller time-step than spatical Gillespie, because the time scale of diffusion increases with the square of the distance.\n", "\n", "Next, let's try the Spatiocyte method." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "with species_attributes():\n", " A | B | C | {'D': 1}\n", "\n", "with reaction_rules():\n", " A + B == C | (0.01, 0.3)\n", "\n", "m = get_model()\n", "\n", "w = spatiocyte.World(ones(), 0.005) # The second argument is 'voxel_radius'.\n", "w.bind_to(m)\n", "w.add_molecules(Species('C'), 60)\n", "\n", "sim = spatiocyte.Simulator(w)\n", "obs = FixedIntervalNumberObserver(0.1, ('A', 'B', 'C'))\n", "sim.run(10, obs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is a distinct difference in the second argument for `spatiocyte.World`. This is called `voxel radius`.\n", "Spatiocyte defines the locations of the molecules with dividing the space with molecule size, and call the minimum unit for this space as `Voxel`.\n", "\n", "In most cases the size of the molecule would be good for `voxel radius`.\n", "In this example, we set 5 $\\mathrm{nm}$ as the radius of the molecule in the space with the side 1 $\\mathrm{\\mu m}$ .\n", "It takes more time to simulate, but the result is same with ODE or Gillespie." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "show(obs, step=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 10.2. The Diffusion Movement of Single Molecule\n", "\n", "Next let's simulate single molecule diffusion to check the resolution." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "with species_attributes():\n", " A | {'D': 1}\n", "\n", "m = get_model()\n", "\n", "w = spatiocyte.World(ones(), 0.005)\n", "w.bind_to(m)\n", "\n", "pid = w.new_particle(Species('A'), 0.5 * ones())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`new_particle` method tries to place a particle to a coordinate in `spatiocyte.World`. It returns the particle's `ParticleID` (`pid`). If `new_particle` fails to place the particle, it returns `None` instead of a `ParticleID`.\n", "If a particle is already placed in the coordinate, you can NOT place a particle over it.\n", "\n", "`Particle` contains the particle position, species type, radius, and diffusion coefficient.\n", "You can inspect the `Particle` with the particle's ID, `pid`.\n", "\n", "Let's check `Particle` first." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A\n", "0.005 1.0\n", "(0.49806291436591293, 0.49652123150307814, 0.5)\n" ] } ], "source": [ "pid, p = w.get_particle(pid)\n", "print(p.species().serial()) # must print: A\n", "print(p.radius(), p.D()) # must print: (0.005, 1.0)\n", "print(tuple(p.position())) # must print: (0.49806291436591293, 0.49652123150307814, 0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`get_particle` method receives a particle ID and returns the ID and particle (of cource the ID are same with the given one).\n", "You can inspect the coordinate of the particle as `Real3` with `position()` method.\n", "It is hard to directly read the coordinate, here we printed it after converting to tuple.\n", "As you can see the tuple coodinate is slightly different from the original position given as a `Real3`. This is because Spatiocyte can place the molecule only on the lattice.\n", "`SpatiocyteWorld` places the molecule a center position of the nearest lattice for the argument `Real3`.\n", "\n", "You can visualize the coordinate of the molecule with `plotting.plot_world` method, and check the molecule in the center of the World." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plotting.plot_world(w)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And you can use `FixedIntervalTrajectoryObserver` to track the trajectory of molecular diffusion process." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sim = spatiocyte.Simulator(w)\n", "obs = FixedIntervalTrajectoryObserver(0.002, [pid])\n", "sim.run(1, obs)\n", "plotting.plot_trajectory(obs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we visualized the trajectory with `plotting.plot_trajectory` method, you can also obtain it as `Real3` list with `data()` method." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n", "501\n" ] } ], "source": [ "print(len(obs.data())) # => 1\n", "print(len(obs.data()[0])) # => 501" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`data()` method returns nested list.\n", "First index means the index of the particle.\n", "Second index means the index of the `Real3`.\n", "In this case we threw just one particle, so the first result is `1`, and next `501` means time-series coordinate of the only one particle (initial coordinate and the coordinates in 1/0.002 = 500 time points)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Also you can obtain the particles in bulk with `list_particles_exact` method and a `Species`." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A (0.8654863757833897, 0.2511473670974872, 0.115)\n", "A (0.13880441875771343, 0.8429313930168537, 0.31)\n", "A (0.6287023673143491, 0.2107328482542134, 0.775)\n", "A (0.24494897427831783, 0.008660254037844387, 0.265)\n", "A (0.7756717518813399, 0.31465589670834604, 0.655)\n", "A (0.5552176750308537, 0.4070319397786862, 0.145)\n" ] } ], "source": [ "w.add_molecules(Species('A'), 5)\n", "\n", "particles = w.list_particles_exact(Species('A'))\n", "for pid, p in particles:\n", " print(p.species().serial(), tuple(p.position()))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Please remember `list_particles_exact` method, this method can be used for other World as well as `add_molecules` method." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 10.3 The Diffusion Coefficient and the Second-order Reaction\n", "\n", "The models we have addressed contains a second-order reaction.\n", "Let's look at the relationship between this second-order reaction and the diffusion coefficient in Spatiocyte." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "with species_attributes():\n", " A | B | C | {'D': 1}\n", "\n", "with reaction_rules():\n", " A + B > C | 1.0\n", "\n", "m = get_model()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "w = spatiocyte.World(Real3(2, 1, 1), 0.005)\n", "w.bind_to(m)\n", "w.add_molecules(Species('A'), 120)\n", "w.add_molecules(Species('B'), 120)\n", "\n", "obs = FixedIntervalNumberObserver(0.005, ('A', 'B', 'C'))\n", "sim = spatiocyte.Simulator(w)\n", "sim.run(1.0, obs)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "odew = ode.World(Real3(2, 1, 1))\n", "# odew.bind_to(m)\n", "odew.add_molecules(Species('A'), 120)\n", "odew.add_molecules(Species('B'), 120)\n", "\n", "odeobs = FixedIntervalNumberObserver(0.005, ('A', 'B', 'C'))\n", "odesim = ode.Simulator(odew, m)\n", "odesim.run(1.0, odeobs)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "show(obs, \"-\", odeobs, \"--\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although we used faster kinetic constant than before, the result is same.\n", "But by contrast with ODE simulation, you can find the difference between them (solid line is `spatiocyte`, dash line is `ode`).\n", "Is this fault of Spatiocyte? (No)\n", "Actually Spatiocyte reaction rate couldn't be faster, while ODE reaction rate can be faster infinitely.\n", "\n", "This is caused by the difference between the definition of reaction rate constant in ODE solver and single molecule simulation method.\n", "The former is called \"macroscopic\" or \"effective\" reaction rate constant, the latter is called \"microscopic\" or \"intrinsic\" reaction rate constant." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The \"macroscopic\" rate represents the reaction rate in mixed molecular state, meanwhile \"microscopic\" rate represents the reactivity in molecule collision.\n", "So in \"microscopic\" perspective, the first thing molecules need to react is collision.\n", "In Spatiocyte, however, you make this \"microscopic\" rate faster, you can NOT make the actual reaction rate faster than collision rate.\n", "This is called \"diffusion-limited\" condition.\n", "This is similar to what the molecules coordinated disproportionately need time to react." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is known that there is a relationship between this macroscopic rate constant $k_\\mathrm{on}$ and microscopic rate constant $k_a$ in 3D space.\n", "\n", "$\\frac{1}{k_\\mathrm{on}}=\\frac{1}{k_a}+\\frac{1}{4\\pi RD_\\mathrm{tot}},$\n", "\n", "where $R$ is the sum of two molecule's radius in collision, $D_\\mathrm{tot}$ is the sum of diffusion coefficients.\n", "\n", "In the case of the above Jupyter Notebook cell, $k_D=4\\pi RD_\\mathrm{tot}$ is almost 0.25 and \"microscopic\" rate constant is 1.0.\n", "So the \"macroscopic\" rate constant is almost 0.2.\n", "(However unless you specify the configuration for Spatiocyte, the second order reaction rate must be slower than $3\\sqrt{2} RD$, and the dissociation constant $k_D$ is also $3\\sqrt{2} RD$.)\n", "The single molecule simulation method can separate molecular \"diffusion\" and \"reaction\" in accurate manner contrary to ODE or Gillespie method supposed well mixed system (that is diffusion coefficient is infinite).\n", "However if the microscopic rate constant $k_D$ is small enough, the macroscopic rate constant is almost equal to microscopic one (reaction rate-limited)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy\n", "\n", "kD = 4 * numpy.pi * (0.005 * 2) * (1 * 2)\n", "ka = 1.0\n", "kf = ka * kD / (ka + kD)\n", "\n", "with reaction_rules():\n", " A + B > C | kf\n", "\n", "odeobs = run_simulation(1, y0={'A': 120, 'B': 120}, volume=2).observer\n", "\n", "show(obs, \"-\", odeobs, \"--\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 10.4. The Structure in the Spatiocyte Method\n", "\n", "Next we explain a way to create a structure like cell membrane.\n", "Although The structure feature in E-Cell4 is still in development, Spatiocyte supports the structure on some level.\n", "Let's look a sphere structure as an example.\n", "\n", "To restrict the molecular diffusion inside of the sphere, first we create it." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "with species_attributes():\n", " A | {'D': 1, 'location': 'C', 'dimension': 3}\n", " C | {'dimension': 3}\n", "\n", "m = get_model()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "539805\n" ] } ], "source": [ "w = spatiocyte.SpatiocyteWorld(ones(), 0.005)\n", "w.bind_to(m)\n", "sph = Sphere(0.5 * ones(), 0.45)\n", "print(w.add_structure(Species('C'), sph)) # will print 539805" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualize the state of the `World`." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "show(w)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `Sphere` class first argument is the center of the sphere, and second argument is the radius.\n", "Then we created a `Species` named `C` and added it inside the `Sphere`.\n", "The structure in the Spatiocyte method is described by filling the space with the `Voxel`.\n", "In the example above, the `Voxel`s in the sphere are occupied with `Species` named `C`.\n", "\n", "You can see those distribution with `viz.plot_world` as above.\n", "(However, the number of the species is too large to visualize all. So we plot only a part of it, but actually the sphere is fully occupied with the `Species`.)\n", "\n", "Next we create Species moving inside this sphere. To that end we give `location` attribute to the `Species`. After that, you just throw-in molecules to the `World` with `add_molecules` function." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "w.add_molecules(Species('A'), 120)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "show(w, species_list=['A']) # visualize A-molecules only" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we restricted the trajectories of `Species` `A` on the structure of Species `C`, and `add_molecules` works like that. As a note, you need to create the structure before `add_molecule`.\n", "\n", "We can use `FixedIntervalTrajectoryObserver` to check the restriction of the diffusion area." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pid_list = [pid for pid, p in w.list_particles(Species('A'))[: 10]]\n", "obs = FixedIntervalTrajectoryObserver(1e-3, pid_list)\n", "sim = spatiocyte.Simulator(w)\n", "sim.run(1, obs)\n", "show(obs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`pid_list` is a list of the first 10 `ParticleID`s of `A` molecules.\n", "The trajectories are colored by this 10 species.\n", "Certainly the trajectories are restricted in the sphere." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 10.5 The structure and the reaction\n", "\n", "At the end, we explain about molecular translocation among the structures.\n", "\n", "A `Species` without `location` attribute is not an member of any structures.\n", "In the example above, if you do NOT write `location` attribute with Species `A`, `A` is placed outside of the sphere.\n", "\n", "Next let's create a planar surface structure.\n", "To create a surface, we need to use three Real3, those are original point (`origin`) and two axis vector (`unit0`, `unit1`): `ps = PlanarSurface(origin, unit0, unit1)`.\n", "\n", "Suppose Species `A` on the surface, `ps`, and a normal Species `B`." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "with species_attributes():\n", " A | {'D': 0.1, 'location': 'M', 'dimension': 2}\n", " B | {'D': 1}\n", " M | {'dimension': 2}\n", "\n", "m = get_model()\n", "\n", "w = spatiocyte.World(ones())\n", "w.bind_to(m)\n", "\n", "origin = Real3(0, 0, 0.5)\n", "w.add_structure(\n", " Species('M'), PlanarSurface(origin, unitx(), unity())) # Create a structure first\n", "\n", "w.add_molecules(Species('B'), 480) # Throw-in B-molecules" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "show(w, species_list=['B', 'M'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It might be hard to see them, but actually the `Species` `B` are placed only not on a surface.\n", "Then how can we make absorbed this `Species` `B` to a surface `M` and synthesize a `Species` `A`?" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "with species_attributes():\n", " A | {'D': 0.1, 'location': 'M', 'dimension': 2}\n", " B | {'D': 1}\n", " M | {'dimension': 2}\n", "\n", "with reaction_rules():\n", " B + M == A | (1.0, 1.5)\n", "\n", "m = get_model()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This means that a `Species` `B` becomes `A` when `B` collides with a structure `M`.\n", "On the other hand, a species `A` dissociates from the structure, and becomes `M` and `B` on as the reverse reaction direction.\n", "\n", "Now you can simulate this model with a structure." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "w.bind_to(m)\n", "\n", "sim = spatiocyte.Simulator(w)\n", "obs = NumberObserver(('A', 'B'))\n", "sim.run(2, obs)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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mrciw7ZTnZvDn8NOZG72HHXHxjJ29meY1KzDq4vbUqVz2mP7+QFJV5m7cy2Xv/J22bfrKWFrVqcig7o2ZtmIHc6P3Mu//zkCBDiOnZHudcbf0ypIQAK7t1ZQrezQmPimFimX8/frOH3/uFAYDo4EZuC/u3sAIVf0qXy8k8jhwGHgIKz4quMR4eKZO+vp1P8En56WvR5SDR2JA/P/lZ4qPeRv3cvm7f5Ockv3Hvl2DykSFh/HF0BMpFxUOwKbdh3nkf0tISEyhe7NqPHB267Tj4xOT+XHRNupULst1PsU0mXVqVJWFm/dl2PbHg6dx6vMz6NG0OrMzlX3n9uu3Ra0KrNt5iKjwMFY93Z/ZG/bw++qdnNqyFr1a1CApOYWP/ozm/E712X8kkVZ1KqXFOn/jXr74dxMTl2Qtakm19plziqx5Zn71fWEG0bsPp633al6D1wZ3onalnBNZXHwiT09YzpzovXw+tCcNqpYLeJzHVHzkXaAerl5BgH9Vdbsf59QCElV1n4iUA6bgKo+vA8ar6lci8g6wWFX/KyJ3AO1V9VYRGQRcrKqX5/YaIZkUAJISYG80vNUD6neBbfOhQVc3ixvApR/BCedBeGRQwzT+i9l/hAplIrjs7b9ZteNAnsefcUJtPriuOzNWxnLDx3My7PvvVV04p11d/l63mys/+Dcg8a58qj8JSSmsjImje9PqHE1O4d6vFvLzsoxfDdGjB+b72qrK+Plb+c83i6hSLpL+bevy/cKtHE3KOLrO+lED8lXsdSwSkpLZsT+BxjVyLtJatm0/A1+flbY+4z99aVYz66/94qBASUFEuuR2UVWdn8eLdgA+AcJxrZzGqeqTItIc+AqoDiwArlbVBBEpC3wGdMYVVQ1S1fW5vUbIJgVws7S93hn2boDqLeCO2bDuV/jyMrf/+AEweGzu1zDFwnsz1zFqUta5NO49oyXXnNiExVv306t5DQ4mJDF7wx5u/8L915tyX2/OemVmlvMAykSEkZCUdYiyQd0bUbNiGa7t1YSl2/bTvkFVuj8zLW3/hLtOYXlMHA9+m7FX/VtXduG42hUpFxme6xfjmFkb0oqU3r2mK2e3rZv3G+Cnv9buypDknji/Lded1DTf13l28gre/X09sx/pl+UX/NKt+ykXFU6LWhXTth05mswJj/0MwLxHz6BGxTKoKuLdjc9as4urx6THdU+/ltx3Zqt8x1WUCpoUUoBlwM7UTT67VVVPL9QoCyCkkwLAr8/AzOeh3+Nw6jC3bfUv8KV3g3XTDDe7W7lqwYvR5Gj/4UTW7zrIRdk0P/z1P31zPO/t39bx3M8Zk8iGZwcQn5iS9uWVqmOjqoy/tRdjZm3g1Ja1aFM/a+cnVWXq8h10bVKNGhXLADBxcQx3fDmfS7o05KXLO/r9N63afoCzX3WJKhC/5OdE7+Gq9//laHIKZ5xQhw+uS/9e23UwgcTkFOpVybn4RVVpNmISAFHhYXx3+0m0a1AFVeXlqat549e1ALx4WUd6NK2OCNw1dkGWorUKUeF8fUsvRMhwd3BVz8Y8dUG7IruDKaiCJoX7gEuA/bhf9t+r6sGARVkAIZ8UUpJhybduEL0In9HMF47N2NGtXHV4cL3VMwTJ0q37aVStPFXKu+I8VeWtGWt5ccrqtGMaVy/Ppj2HqVO5DLMeOp3IPMrM3/x1Tdr5Dw9ozc29W6RdOy4+id9WxXJuh/qECWm/aPMrJUUL9OU2dfkO2tavTP0Alo3f/sU8Ji3Zzuqnz2H3oQRu/Wwei7bsB2DasD4cV7tihuM37j7Eb6t2Mjt6DxMzNQ1dP2oAzR+elOdr1qlchh1xCdnH07cF9591POHFPBmkOtYmqc1wfRMuADYCo1R1YaFHWQAhnxRykpIMT1bPuG3EVihTMfvji4nYuHhqF+OWJblRVcbO3szJx9WgQpkIKkRFsHTb/rRWKM1rVeC7204iISmF1TsOcM2Y9ErfW3o3Z8SAE1i5PY7Wdf0fxmDznsN88Md6Hh54AmUiwgv9byrOnpm4nPf/2EC3JtWY67V0SvXG4M4MbF+PV6al//LP7J5+LXlt+pos22c/0o9q5aPo9vQ09h9JTNs+8e5TaFi1PLsPJbB0Wxxfz9nEn2td57GWtSsy5b7eBU6+wVAYFc1tgUHANcCDqjqucEMsGEsKuUg8AgjM+QCmPAIV68K9SzLeURQT8YnJtP4/V+xxdts6vHtNtp/VYkVV+WlxDH2Pr0XlspF8v2AL9329yO/zq5SLZOYDp1E2Koyo8LAS9YVSHPh+ZlJNv78P/V76nUplI4gMD2PPoawTVbWpV5l3r+lKo+rlWRt7kDNe/j1t36S7T00rXjualEJ4mJCcokSGS5Z/n32Hj/LtvC2c17F+sW4im5PckkKO96gi0lxEHhaRf4EngEVA6+KSEEweIstBZFno6RUjHdwOG2flfk6QnPLcr2nLvyzbwe6D2d+iF8QPC7fSdPhErv1wdr6vu3H3IX5eup2EpGTen7mepsMn8tGfG0hJUXq/MIO7xy6g29PT+GHh1lwTwqtXdMqy7cqejalSPpIyEeGWEAqgbGQ4E+8+JW195VP9aeq16z8Qn5QhIWx4dgDRowcSPXogk+45lUbVXUX5cbUr8vmQntSoEMWwM1tlqG+JiggjPEyIisg+YVctH8XQU5uXyISQl7wqmhcDPwBxZOpIpqovBzy6PNidgp/2bYZX27nlh6KLVcXz0xOW88GsDQCc37F+2rAIH17fjdNb18nxvKTkFJbHxFGvSjlqVXKVo/M27uWKd//m1UGdaF23MonJKZzz2h9p55zUogYvXNYxz3bgqsqwcYv4fsHWbPe3qlOR1TuyVq+d2rImb13VBVUYO3sToyevZPxtvejapDrxicnsiIvnji/ns3RrHE9e0JZrezXNNQ6TtynLtlOlXCQ9m9cAXP3NuW+4Hz9Xn9iY/zu3TcgVrfmjoBXNI8mmR3EqVX2iUKI7BpYU8uHrq2HFT275/3YViz4Mv6/eyXUfzuakFjX45MYeRIaH0XT4xLT9t/dtwYP9XUcsVSX2QAJfzd7MmW3qMOD19C/76NEDmbdxL5e8/VeW18jOsifOpoLXG1RV2RGXwOf/bGTZtv08cX477vpqAYsytTZpULUc957Rkgd8mmq+Mbgzd41dkLb+z4h+1K2S+y9HVWXGqlh6t6xVbDtgmdLvmOsUiitLCvk00huh5MQ7oH/gZ1T1bf4XPXogK2LiMvxyT/Xd7SfRpbG7ezmYkMSA1/5g057DaefFHoinxzPTCxTDwA71eOvKLuw8kJChPX6tSmW4rU8Lnsw0TIOvfx/uR5VykSzYtI/uTasR4ZO03rm6C/3b1WPvoaNUKBNBVIR9wZuSw5KCcbbOg/e97iUPbnBTfwbQ3Og9XOq1vunTqha/r96Z5Zj+bevyzjVdM2xTVd6duZ7Rk7N26PL13e0nZRhi+NMbe9C7VS3mbdzD1OWx/L1+N69c3pHmXkekXQcT6Pb0tJwul8EnN/agT6taWbYfOZrMT4u3cWmXhsW+LboxObGkYNKljrJauSEMC9y8DKrKuW/MYtm2uCz72jWoTNfG1Ti+bmWu7Nk42/O374/nxGcz3h1MuvtU4pOSSU5RalYsQ7OaFVi/8yCTl27nvA71c+1pm2r/4UQ6PjmF4+tUYtOew3x4fXcqlY2gXYMqbNt3hOkrdnBF98b2y9+UagWtU7hHVV8TkZNVteBj4AaQJYUC2LcJXm3vlkfuD8hLJKcot3w2l2krYnnpso5c3KVBWjFSXhXIvrbsPcwpz80AYN2oAYXeMSg+MZmykVYJaUJPQYfOvgF4DXgDyHUcJFOCVG0Mp/4HZr0Mh3ZDhRqF/hJPTVjOtBVuBM0LOtVHRJj10Gn8uXaX3wkBoGG18gUaUM1flhCMySq3e+QVIhINHC8ii30eS7yJd0xJ1epsN6Ded0Nh1xrXA7qQrN5xIG1u2dv7tkhrYdOwWnmu6J59UZExpvjI8U5BVQeLSF3gF+D8ogvJBFyjHtDnQfj9OXjTu4N8fN8xj400f9PetIrfFrUqpDUnNcaUHLnWpqnqdlXtCMQAlbzHNlUNsTkwS6FuQzKuP1HVNVn9/fkCXe67+VsytAT6+IYexxKdMSZI8mxiISJ9gDW4OZb/C6wWkd6BDswEWKU6rr/CtT9A3fbp22c8k+9Lff7PRoaNc8M89GhWnejRA9OGEjDGlCz+jJI6D7hSVVd5662AsaraNdcTi4C1PiokR/bBcz7zOtdpBzdMhrLZj9h55GgykeFCRHgY0bsO0ffF3wB4+6ounNa6tlXgGlPMFbT1UarI1IQAoKqrRST4YySYwlOuqmueOuNZ+H007FgKoxvDSG+ohz9fgwq1iW97eYaRKS/p0pDx87cAcP+ZrTinfb1gRG+MKUT+JIW5IjIGN1UmwFXAvMCFZIKm73Bo0gs+vQBQV7/gU5y0afFfwNmkTsKXmhAA7urXsmhjNcYEhD/dNm/DTct5N3APsBy4NdczTMkkAs37wtBf0aqNs9QvtFr/KeeG/ZOhF/LLl3cMaF8CY0zRyvNOQVUTgJe9hwkBm8ufwMPl3qJi7DRaylbCJIV7I74D4M2oN6DLQEYtuhIiK0DdSUDD4AZsjCk0NvaRySA2Lp4eo9yYQ77zG1TlAKOq/sCA+Gzmsq1UD+7PffA6Y0zxUaCZ10zombwkJi0hALw+uDNrnzmHQd0bce3pnRlw7zvZn3ggBpZ8W0RRGmMCKdc7BREJB0ar6gNFF5L/7E6hcCQkJTPk47nMWrsrbdv0+/vQwhtyOos9G6BsFTf09pJvYbzXEe6+5e6uIcx+axhTnBX4TkFVk4GuYpPIlkpTl+9g+/54ho1blCEhrHq6f84JAaB6s/S5GNpfCj1udsuvtIGp/xfAiI0xgeZPk9QFwA8i8g1wKHWjqn4XsKhMwMXFJ3LTp1nvsgZ2qJf/OW0HvACHd8PS8fD3m+4xfJO7mzDGlCj+JIXqwG7gdJ9tClhSKMG+n59xUvr1owYQF59I5bIF7Jd46YfQ4nT44Q63/sXlMOSXY4zSGFPU/GmSekNRBGKKzpodB3j+55W0qVeZ+85sxYnNqxMWJlQtH3VsF+58NURVhG+ug83/wPIfoY0NsGtMSeLPgHitRGS6iCz11juIyKOBD80Eyi/LtnPoaDJvXtmZM9vUoVJB7w6y0/ZCaNXfLY+7xs3bAHD0sJu7wRhTrPnTTOR9YASQCKCqi4FBgQzKBM6+w0d5ccpqosLD0ia0L3SXfpS+vHaaex5Vz83dEJOP+ZmOHnLDeacWSRljAs6fpFBeVWdn2pYUiGBM4KVWLielpATuRaLKw6M73dSf393kvthTjR8Kf7wEO1fBge05XyN+P4yq75YXfA5jzoaEg5BwwD0nHnH7khLcvNOp63lJOgrv9oaZL8BbJ8Kute6aqfsObE+/uzEmBPlT0bxLRFrgKpcRkUtxk+6YEib2QDxzovcC8Ov9fQP7YhFRcPYo+Ppqt16hNhyKhV2rYPqT7gHumF7Z3Alk7gy3+R94tkHGbfcuhVfbpa/f/i/Ubg37NkPMQlg5Cc4Y6eaOAPfl/6w3JEeMm/+BN3MYAf6exVCtSdbtKSmwbQE0DPrI8cYEhD93CncA7wKtRWQrcC82IF6J1OMZ11u5f9u6NK1ZIfAv2Oqc9OX7V8IVn2c95peHM9Y1qDc668Rhbv3xfXDdhOyv75sQAP7bEz67yG3/+mpY9CXMed/tSzoKX1yW8fjMs8/5eq2DuwtRzXgX8mxD+OB0WP+7W09JtjsLU6r4PfaRiFQAwlT1gJ/HNwI+BeoCKcB7qvqaiFQHvgaaAtHA5aq61+sg9xowADgMXK+q83N7DevR7L9Xpq7mtenuy3fxyLMK3vQ0v5ISICk++z4Lf74GUx+D9pfBxe+7UVrf7eN+5QM0PRWu9xLC4T2wfQn89iz0uhO+vir9Ov9ZC2t+ybnuoUwVSNifvj5sBVSu737179/kiox+Hu7uMAaPhTFnph+beofTfSh0uhLe92mZffs/8O0QiF0GNVrCTb/mODFRBrvXQfXmxzwntjEFlVuPZn9mXqsBPA6cgitCmgU8qaq78zivHlBPVXdcoxkAABnmSURBVOeLSCXcHAwXAtcDe1R1tIgMB6qp6kMiMgC4C5cUegKvqWrP3F7DkoJ/Dh9Nos1jrs/An8NPp0HVckGOyMeXg2D1ZLd87isw4T63fPK9rugnpy/OI/tg0VhochLU6+i2LRwL/7sVut3oEkrZKvD5xennVKzj+lM0PSX3mFKS4f3T0ouY/NV9KAx8yS0v+x4mPwRDpqYXQ6m65PPvOy6Odpfk7/omq5hFEFkeanrzecTFwIdnQ/JR6PMQdLMW9dk51qQwFZgJpN77XwX0VdUz8hnED8Cb3qOvqsZ4ieM3VT1eRN71lsd6x69KPS6na1pSyJuq0vmpqew7nMjzl3Tg8u6Ngh1SRinJ8GT1jNtyKs8viFmvwLSRbvnuBe4Xur+i/3R1GZ2ugon3w8oJ0PM26PeYa02VqsfNMPu97K9RuSFc9yO80SXj9t4PwumP5OtPMZns3eiK+QAe2+t+QDxd2yUEXyP3Zz03Vdw2mPkidL4KGoROPdGxJoV5medjFpG5OV0wh2s0xSWWdsAmVa3qs2+vqlYTkQm4wfdmedunAw+pao7f+pYU8jZjZSw3fDwHgKVPnE3FMv60LShih3bBCy3cclQleHhL7sfnR+rnuzCKalKSQcLctZIT4Yc7oc+DUKMF/PoMzHze/2tVaQR3L4TwYvjvURKkpLgmznvWpW+7fzW81CrncyrUguanwTnPubG74rbByyek78/Pj5Gko7BhJjTvA+Elb3biY52jeYaIDALGeeuXAhPz8eIVgfHAvaoal8vYetntyJKxRORm4GaAxo0bZznBuLuDZiMyznuw8LEzi2dCAKhQ01UoL/jc/SovTIVZbh/mMyZUeCRc/G76et/hcPSgK8qKj4NmvV1Lq3HXph9z5TdwaCdEloNvb4Cnarjt577qijkSj7h9/jq8x4031W1I6I1M+8dLLiFUrAsHvabNqQnhkjHQ+lz4eCBs9fnReGgnLBnnHtf+CJ9m6m3/Wgd4ZLv7Nxg7GLbOT7/2fctd8WPyUVdH9vMIWPyV29fzVpdoSokc7xRE5ADuS1mACrjKYnAtlg6qap41aiISCUwAflHVl71tacVCVnx07JZs2U+7BpXxTbZ/rNnJNWMydi1ZP2oAYWFWsVnkEo/AqklQr5O7owB3l/G/22DJN+nHdRsCc8e4SvSzns47mfkOWX7Ru9DRpz9pSjLsWJpe11LUYle6inx/Kt0LavxQ9/49uMH1efnkXEjxuk/dNAMaeMV1CQddY4eYhTD7fddYIS7TneijO+HpWnm/5vEDYVUOv4cvfAc6DS7431PEjqn46BheVIBPcJXK9/psfwHY7VPRXF1VHxSRgcCdpFc0v66qPXJ7jVBPCmNnb2LEd0sy1BWs2XGAM1+ZCcCdpx3H+Z3q06pOpWCGaXKybSGsmZJlLmxanwuDvsj5vKXfuTsNXyP3u2TzVM30bWUquzuQM55wial+Z/dlnZ2kBAiPSk9GW+bCB/3S72L8lVrOX64aPBTt/3n+OhgL059w42o16gFXj0/fF/2n6wXf6qycz8/8Hl35jTs+KcHdWWxxRa30vA3qdXAJ9sc7s7/W4K9gb7RrPJDq/DehyzUF/vOKyjEnBRHpgGtCmlb+kNfQ2SJyCvAHsIT0u4yHgX9xRVGNgU3AZaq6x0sibwL9cU1Sb8itPgEsKfR/dSYrtx+gfYMq/HjnyazbeZAzXnYJoWr5SBY+lst/DlN8fHMDLMv036liHdc8tnYbN7Nd1Sau6GLfZniruzvm7GfhlxFuuUoj2L8579e6ZIy7dsPu7rqVG7imvEu80uH7V7smtp9dlH5Osz5w3qvui17Cch8SfdFX8P0tbnnIVPfFXVi2L4V3Tk5f7zvCFdvl1yfnw4bf4ba/oU6b9O2qrkVbRFlo59Nq7WAsvOi1brr5N6jT3g0Vn9op8q83YIrPcHCDvoTWA/MfVxE61ormD4EOwDLSv9xVVW8s1CgLIJSTws4DCXR/Zhr1qpQlZn88Q05pxod/bkAVbjy5GcPOalV86xBMVlvmui/dcde6op/slKsGR1yP9LQ+HLPfh0n/yXhcz9tcc94VP7phRnITFgkpifmL9fiBriOibz1GSgrMfjfjr2bIveVPbjbPcQmvXidXDLZlNqyYAEf2pB/zaCxElCnY9VXzV990aJcrempxWs7HLP4Gvhuavj58c2CL0I7BsSaF5araJteDgiQUk0JyitLi4fRK5NcHd+busQsyHLNu1ADCrf6gZPKtK8jN/augUl23PO9j+OketxxVCUZsTv/C2/CHuwup2SrrF3Zerp/oilSy02c4/D46fb1MZUiIy3hMWAQ8thsO7HAdACvWgYq13RfyjmVQ4zhIOuKSHbjtB3e4oq7U/irZuXGKm/2vYu38/T2BpgpPVM24rf9o6HFL7g0BUpJh09+uSOy0h6Fc1ZyPLSTHmhTGAC+p6vJABHcsQjEpfP7PRh79X/ovyfWjBvD27+t44ZdVAEy46xTaNbAZz0qFlBTXsS+yvGtLv3UuPLAOyhRwdFtV90hJhNFNoEpD2L0G2l4EZz3jDQOi0OZC6HpdetIBWPGTSyxv+VEcdM9il4imjYQ757qmo6lGbHGDG8YuS982+GsYe4Wbi+PoQZ/tX8HyH9yv9LVTXdHV0GnFuz9B0lGXpCf7TGtftiq0uQA6DobY5bDuV1dnlJLiOtptyTTeaNkqrrd8TvU/heBYk0Jv4CdgO5CAa42kqtqhsAPNr1BMCsc9PImkFPdvNuqi9lzZ0zXLXRETR4oqbetbQjD5sHOVG802P01h53/mOvJFlIHeD7gv7YgyUKdten3Dxr/go3Nyv05uhk6Hhn53hSp+Du6EF49zyzWPd82T8+uh6PS7qFSb/nX1PYmHXMJN7cmdT8eaFNYCw8hYYYyqbixQNIUolJJCfGIyb81Yyxu/ruX8jvV5fXDnYIdkTM4Sj8CYs2C7N3/GQxvdeuqXY2ov8LOegSk+PbsHvOj6qkSVL/qYC1tSgitCS0l2jQP2Rmd/3PUToX4X2LnSDa+SqubxcKd3F5GSAr8+6Xrop+p1J5ydqeWan441KfyqqqfnelCQhFJSeHrCcj6YtQGAL4b25OTjauZxhjHFTHIibPwTmpySsSf3yCrQ5GS4YVLO55Y2KyfBV4NdEdnxme6o9kbDa14fk9QiteMHuLoWcANIJh5xfVNOOK9AL3+sSeG/QFVcEVJC6va8mqQWhVBJCnOi93DZO39zXO2KfHlTT2pXKhvskIwpPPFxro9EZIh9rg/GuqE3smsFlZo0MrtjDtTKZSgPPx3rMBflcMnAt9G7AkFPCqHiz7W7AHj8vDaWEEzpU0ybbQZcbq2njj/HdTbc5tOy8NofCyUh5CXPpKCqNvZsEMXGxbNt3xGqV4jiFCsyMiY0iLiOcuBaNG2bD41PLJKXzjMpiMhHZDMwXXHovFZaxScm0/r/fs6wrV/r2hnGNzLGhIiIqCJLCOBf8ZHvXIhlgYuAbYEJxxw5mswJj2VMCDed2oybe7cIUkTGmFDiT/HReN91ERkLTAtYRCHu15WxGdYv6dKQRwYWyw7lxphSqCCD47TEDWZnAuD9P9ZTq1IZZvynr41dZIwpcv7UKaTOq5BqO/BQwCIKUcPHL+arOW6Uy9v6trCEYIwJCn+Kj2ww/gBT1bSEAHDzqfmYR9gYYwpRjklBRHItIlLVTYUfTmjae9gNXdyreQ0+H9rTRjg1xgRNbncKE0mfjjOVArWA2kB4dieZ/IlPTOak0dMBGHpqM0sIxpigyjEpqGp733URaYqrSzgDGBXQqEJE6kQ5qXq38mOeWGOMCSB/KppbAo/g5k1+CbhbVfM5VZPxtetgAvM27mW/V2w0sH09XrisA5HhuUzEYYwxRSC3OoV2uGTQFngeGKKqyUUVWGnW94XfOJiQBEDDauV46fKOlI200jhjTPDldqewCNiMq1voAfTwHWZBVe8ObGilz464eG79fF5aQgB475pulhCMMcVGbknBxjYqREeTUug5anra+tT7erN13xHa1A/RESKNMcVSbhXNnxRlIKVdq0cnpy2/ekUnWtapRMs61gXEGFO8WLfZIjBubnrHtJVP9bfiImNMsWXNXYrAg9+6eWo/ur67JQRjTLFmSSHAFm7el7Z8WutcZloyxphiIM+kICKtRGS6iCz11juIyKOBD63ki09M5sK3/gTgsyE9ghyNMcbkzZ87hfeBEUAigKouBgYFMqjS4oM/1qct21SaxpiSwJ+kUF5VZ2falpTtkSbN/iOJvDhlNQDThvW2qTSNMSWCP0lhl4i0wJtTQUQuBWICGlUp8MvS7QCc3bYOLWpVDHI0xhjjH3+apN4BvAe0FpGtwAbg6oBGVQr8uGgbTWuU552ru9pdgjGmxPBnkp31wBkiUgEIU9UDgQ+rZDt8NIl5G/dyWbeGlhCMMSWKP6OklgEuAZoCEalfcqr6ZEAjK8Fmb9jDkcRk+h5vQ2EbY0oWf+oUfgAuwFUuH/J55EpEPhSR2NSmrN626iIyVUTWeM/VvO0iIq+LyFoRWSwiXQr25xQPc6L3EB4mdG1SPdihGGNMvvhTp9BQVfsX4NofA28Cn/psGw5MV9XRIjLcW38IOAdo6T16Am97zyXO7oMJ/G/BNro2qUaVcpHBDscYY/LFnzuFv0Skfd6HZaSqM4E9mTZfAKQOtPcJcKHP9k/V+QeoKiL18vuaxUHfF35j674j9G5p/RKMMSVPbpPsLAVSvGNuEJH1QAJuzmZV1Q4FeL06qhqDu0CMiKSO+9AAN3dDqi3ethLV9DU5RTngzZVwS58WQY7GGGPyL7fiowZApyKKI7smOprtgSI3AzcDNG7cOJAx5dv7Xg/md6/palNrGmNKpNySwgZV3VjIr7dDROp5dwn1gFhv+xagkc9xDYFt2V1AVd/D9ZugW7du2SaOYDiUkMS7v6/j1JY1OatNnWCHY4wxBZJbUqgtIsNy2qmqLxfg9X4ErgNGe88/+Gy/U0S+wlUw708tZiop3v5tHXsPJ3LnacdZ3wRjTImVW1IIByqSfdFOnkRkLNAXqCkiW4DHcclgnIgMATYBl3mHTwIGAGuBw8ANBXnNYPl56XbenLEWgK5NqgU5GmOMKbjckkLMsXRQU9XBOezql82xihtOo8RJSk5h+HduEp1nL25PhNUlGGNKsNySgpWB+OGPtbvYdziRd67uQv92JbIVrTHGpMntZ22WX/QmI1VlxPglAJza0oa0MMaUfDkmBVXN3PHM+FBVnp28ku1x8QBUKONP53BjjCne7JusAGat2cXVY/4FYGD7egw/p3WQIzLGmMJhSSGf3pi+hpemrk5bf/PKztYE1RhTalhTmXxYEROXlhCa1CjP5HtOtYRgjClV7E7BT6rK6MkrEYHXB3VmYPt6hIVZQjDGlC6WFPw0atIKfl+9k6GnNOO8jvWDHY4xxgSEFR/54WhSCl/8u4l+rWvzyMATgh2OMcYEjCUFP3z6dzSHjyZzbsd6VodgjCnVLCn4YeKSGJrXqsBFnRsGOxRjjAkoSwq5UFXOePl3FmzaR6Nq5YMdjjHGBJwlhVz8tmona2MPAnB7X5tJzRhT+lnro1y88MsqalYsw9T7elOtQlSwwzHGmICzO4UcbNl7mOUxcdx4SlNLCMaYkGFJIQe7Dh4FoGXtSkGOxBhjio4lhRxs2nMYgMbVrYLZGBM6LCnkYP7GvUSGC42qlwt2KMYYU2QsKWQjKTmFCYtj6NOqFuWjrC7eGBM6LClk4+u5m9l1MIHzOzUIdijGGFOkLClk8te6Xbz4yyrqVi7Lue1tzmVjTGixpOBjbvQerh0zm3KR4bx8eUcbGtsYE3KswNzz17pdXP/hHOpVLcu3t55Encplgx2SMcYUObtTAGau3smV7/9LuahwPrq+uyUEY0zICvmkMG7OZq79cDYA42/rxXHWWc0YE8JCPin897e1AAzsUI8WtSoGORpjjAmukK9TaF23MhHhYbx1ZZdgh2KMMUEX0ncKqsrPy7aTkqLBDsUYY4qFkE4Kr0xdDaSPc2SMMaEupJPChCUxVC4bweKRZwU7FGOMKRZCNinsP5LI+p2HuKVPCxvfyBhjPCGbFDZ7RUZNatjQ2MYYk6pYJQUR6S8iq0RkrYgMD+Rr/bhoGyLQtn6VQL6MMcaUKMUmKYhIOPAWcA7QBhgsIm0C9Xqz1uyie9PqNKtZIVAvYYwxJU6xSQpAD2Ctqq5X1aPAV8AFgXih2Lh4lsfE0adVrUBc3hhjSqzilBQaAJt91rd42wrdzDW7AOh7vCUFY4zxVZySQnbjVGfpVSYiN4vIXBGZu3PnzgK9UJVykZzVpg4n1K1coPONMaa0Kk5tMbcAjXzWGwLbMh+kqu8B7wF069atQF2Rz2xThzPb1CnIqcYYU6oVpzuFOUBLEWkmIlHAIODHIMdkjDEhpdjcKahqkojcCfwChAMfquqyIIdljDEhpdgkBQBVnQRMCnYcxhgTqopT8ZExxpggs6RgjDEmjSUFY4wxaSwpGGOMSWNJwRhjTBpRLblTUYrITmBjAU+vCewqxHAKi8WVPxZX/hXX2Cyu/DmWuJqoarbj/JTopHAsRGSuqnYLdhyZWVz5Y3HlX3GNzeLKn0DFZcVHxhhj0lhSMMYYkyaUk8J7wQ4gBxZX/lhc+VdcY7O48icgcYVsnYIxxpisQvlOwRhjTCalMimISH8RWSUia0VkeDb7y4jI197+f0Wkqc++Ed72VSJydhHHNUxElovIYhGZLiJNfPYli8hC71GoQ4r7Edf1IrLT5/WH+uy7TkTWeI/rijiuV3xiWi0i+3z2BfL9+lBEYkVkaQ77RURe9+JeLCJdfPYF5P3yI6arvFgWi8hfItLRZ1+0iCzx3qu5hRVTPmLrKyL7ff69HvPZl+tnIMBxPeAT01LvM1Xd2xeQ90xEGonIDBFZISLLROSebI4J7OdLVUvVAzfs9jqgORAFLALaZDrmduAdb3kQ8LW33MY7vgzQzLtOeBHGdRpQ3lu+LTUub/1gEN+v64E3szm3OrDee67mLVcrqrgyHX8Xbrj1gL5f3rV7A12ApTnsHwBMxs0meCLwbxG8X3nFdFLqawHnpMbkrUcDNYP4fvUFJhzrZ6Cw48p07HnAr4F+z4B6QBdvuRKwOpv/jwH9fJXGO4UewFpVXa+qR4GvgAsyHXMB8Im3/C3QT0TE2/6Vqiao6gZgrXe9IolLVWeo6mFv9R/c7HOB5s/7lZOzgamqukdV9wJTgf5BimswMLaQXjtXqjoT2JPLIRcAn6rzD1BVROoRwPcrr5hU9S/vNaHoPlupr53X+5WTY/lsFnZcRfL5UtUYVZ3vLR8AVpB1rvqAfr5KY1JoAGz2Wd9C1jc17RhVTQL2AzX8PDeQcfkagvs1kKqsuLmp/xGRCwsppvzEdYl3q/qtiKROm1os3i+vmK0Z8KvP5kC9X/7IKfZAvl/5kfmzpcAUEZknIjcHIR6AXiKySEQmi0hbb1uxeL9EpDzuy3W8z+aAv2fiirU7A/9m2hXQz1exmmSnkEg22zI3scrpGH/OLSi/ry0iVwPdgD4+mxur6jYRaQ78KiJLVHVdEcX1EzBWVRNE5FbcXdbpfp4byLhSDQK+VdVkn22Ber/8EYzPl19E5DRcUjjFZ/PJ3ntVG5gqIiu9X9FFZT5u2IWDIjIA+B/QkmLwfnnOA/5UVd+7ioC+ZyJSEZeE7lXVuMy7szml0D5fpfFOYQvQyGe9IbAtp2NEJAKogruN9OfcQMaFiJwBPAKcr6oJqdtVdZv3vB74DfcLokjiUtXdPrG8D3T199xAxuVjEJlu7QP4fvkjp9gD+X7lSUQ6AB8AF6jq7tTtPu9VLPA9hVdk6hdVjVPVg97yJCBSRGoS5PfLR26fr0J/z0QkEpcQvlDV77I5JLCfr8KuKAn2A3f3sx5XnJBaOdU20zF3kLGieZy33JaMFc3rKbyKZn/i6oyrWGuZaXs1oIy3XBNYQyFVuPkZVz2f5YuAfzS9YmuDF181b7l6UcXlHXc8rtJPiuL98nmNpuRccTqQjBWBswP9fvkRU2NcHdlJmbZXACr5LP8F9C/M98qP2Oqm/vvhvlw3ee+dX5+BQMXl7U/9wVihKN4z7+/+FHg1l2MC+vkq1H/44vLA1c6vxn3BPuJtexL36xugLPCN959kNtDc59xHvPNWAecUcVzTgB3AQu/xo7f9JGCJ959iCTCkiON6Fljmvf4MoLXPuTd67+Na4IaijMtbHwmMznReoN+vsUAMkIj7dTYEuBW41dsvwFte3EuAboF+v/yI6QNgr89na663vbn3Pi3y/o0fKcz3ys/Y7vT5fP2DT+LK7jNQVHF5x1yPa3zie17A3jNcsZ4Ci33+rQYU5efLejQbY4xJUxrrFIwxxhSQJQVjjDFpLCkYY4xJY0nBGGNMGksKxhhj0pTGHs3GFDoRqQFM91brAsnATm/9sKqeFJTAjClk1iTVmHwSkZG4UVhfDHYsxhQ2Kz4y5hiJyEHvua+I/C4i47z5HUZ78xjM9sbeb+EdV0tExovIHO9xcnD/AmPSWVIwpnB1BO4B2gPXAK1UtQeuR/Fd3jGvAa+oanfgEm+fMcWC1SkYU7jmqGoMgIisA6Z425fgJlECOANo46bwAKCyiFRSN36+MUFlScGYwpXgs5zis55C+v+3MKCXqh4pysCM8YcVHxlT9KbgBoEDQEQ6BTEWYzKwpGBM0bsb6ObNZLccNwKmMcWCNUk1xhiTxu4UjDHGpLGkYIwxJo0lBWOMMWksKRhjjEljScEYY0waSwrGGGPSWFIwxhiTxpKCMcaYNP8PsnYffowNJscAAAAASUVORK5CYII=\n"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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "show(obs)\n", "show(w, species_list=['A', 'B'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the dissociation from a structure, you can skip to write the structure. Thus, `A > B` just means the same as `A > B + M` in the above.\n", "But in the binding, you can **NOT**.\n", "Because it is impossible to create `A` from `B` with no `M` around there.\n", "By contrast the species `A` wherever on the sphere `M` can create the species `B`.\n", "The first order reaction occurs in either presence or absence of the structure.\n", "But, in the case of the binding, the second order reaction turns into the first order reaction and the meaning of rate constant also changes if you ignore `M` in the left-hand side." ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 1 }