{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 9. Spatial Gillespie Method\n", "\n", "## 9.1. Spaces in E-Cell4\n", "\n", "What the space in E-Cell4 looks like?" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from ecell4.prelude import *\n", "\n", "w1 = ode.World(ones())\n", "w2 = gillespie.World(ones())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We created a cube size, `1`, on a side for `ode.World` and `gillespie.World`. In this case the volume only matters, that is" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "w3 = ode.World(Real3(2, 0.5, 1)) # is almost equivalent to 'w1'\n", "w4 = gillespie.World(Real3(2, 2, 0.25)) # is almost equivalent to 'w2'" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "This returns the same results. Because the volume is same as `1`.\n", "\n", "This seems reasonable in homogeneous system, but the cell is NOT homogeneous. So we need to consider a space for molecular localization.\n", "\n", "You can use several types of space and simulation methods in E-Cell4. We show an example with spatial Gillespie method here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 9.2. Spatial Gillespie Method\n", "\n", "In E-Cell4, the Spatial Gillespie method is included in `meso` module. Let's start with `run_simulation` like `ode`." ] }, { "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": [ "%matplotlib inline\n", "from ecell4.prelude import *\n", "\n", "with reaction_rules():\n", " A + B == C | (0.01, 0.3)\n", "\n", "run_simulation(10, {'C': 60}, solver='meso')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "At the steady state, the number of `C` is given as follows:\n", "\n", "$$\n", "\\frac{d\\mathrm{C}}{dt}=0.01{\\cdot}\\frac{\\mathrm{A}}{V}{\\cdot}\\frac{\\mathrm{B}}{V}-0.3{\\cdot}\\frac{\\mathrm{C}}{V}=0\\\\\n", "0.01\\left(60-\\mathrm{C}\\right)^2=0.3\\mathrm{C}\\times V\\\\\n", "\\mathrm{C}=30.\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You will obtain almost the same result with `ode` or `gillespie` (may take longer time than `ode` or `gillespie`).\n", "This is not surprising because `meso` module is almost same with Gillespie unless you give additional spatial parameter.\n", "\n", "Next we will decompose `run_simulation`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from ecell4.prelude import *\n", "\n", "with reaction_rules():\n", " A + B == C | (0.01, 0.3)\n", "\n", "m = get_model()\n", "\n", "w = meso.World(ones(), Integer3(1, 1, 1)) # XXX: Point2\n", "w.bind_to(m) # XXX: Point1\n", "w.add_molecules(Species('C'), 60)\n", "\n", "sim = meso.Simulator(w) # XXX: Point1\n", "obs = FixedIntervalNumberObserver(0.1, ('A', 'B', 'C'))\n", "sim.run(10, obs)\n", "\n", "show(obs, step=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is nothing out of the ordinary one except for `meso.World` and `meso.Simulator`, but you can see some new elements.\n", "\n", "First in `w.bind_to(m)` we asscociated a `Model` to the `World`.\n", "In the basic exercises before, we did NOT do this.\n", "In spatial methods, `Species` attributes are necessary. Do not forget to call this.\n", "After that, only the `World` is required to create a `meso.Simulator`.\n", "\n", "Next, the important difference is the second argument for `meso.World`, i.e. `Integer3(1, 1, 1)`.\n", "`ode.World` and `gillespie.World` do NOT have this second argument.\n", "Before we explain this, let's change this argument and run the simulation again." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from ecell4.prelude import *\n", "\n", "with reaction_rules():\n", " A + B == C | (0.01, 0.3)\n", "\n", "m = get_model()\n", "\n", "w = meso.World(ones(), Integer3(4, 4, 4)) # XXX: Point2\n", "w.bind_to(m) # XXX: Point1\n", "w.add_molecules(Species('C'), 60)\n", "\n", "sim = meso.Simulator(w) # XXX: Point1\n", "obs = FixedIntervalNumberObserver(0.1, ('A', 'B', 'C'))\n", "sim.run(10, obs)\n", "\n", "show(obs, step=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You must have the different plot. If you increase value in the `Integer3`, you will have more different one. \n", "Actually this second argument means the number of spatical partitions. `meso` is almost same with `gillespie`, but `meso` divides the space into cuboids (we call these cuboids subvolumes) and each subvolume has different molecular concentration by contrast `gillespie` has only one uniform closed space. So in the preceding example, we divided `1` cube with sides `1` into `64` (4x4x4) cubes with sides `0.25`. We threw 60 `C` molecules into the `World`. Thus, each `subvolume` has 1 species at most." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## 9.3. Defining Molecular Diffusion Coefficient" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Where the difference is coming from? This is because we do NOT consider molecular diffusion coefficient, although we got a space with `meso`. To setup diffusion coefficient, use `Species` attribute `'D'` in the way described before ([2. How to Build a Model](tutorial2.ipynb)).\n", "As shown in [1. Brief Tour of E-Cell4 Simulations](tutorial1.ipynb), we use E-Cell4 special notation here." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "with species_attributes():\n", " A | {'D': 1}\n", " B | {'D': 1}\n", " C | {'D': 1}\n", "\n", " # A | B | C | {'D': 1} # means the same as above\n", "\n", "get_model()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can setup diffusion coefficient with `with species_attributes():` statement. Here we set all the diffusion coefficient as `1`. Let's simulate this model again. Now you must have the almost same result with `gillespie` even with large `Integer3` value (the simulation will takes much longer than `gillespie`).\n", "\n", "How did the molecular diffusion work for the problem? Think about free diffusion (the diffusion coefficient of a Species is $D$) in 3D space. The unit of diffusion coefficient is the square of length divided by time like \n", "$\\mathrm{\\mu m}^2/s$ or $\\mathrm{nm}^2/\\mu s$.\n", "\n", "It is known that the average of the square of point distance from time $0$ to $t$ is equal to $6Dt$.\n", "Conversely the average of the time scale in a space with length scale $l$ is about $l^2/6D$. \n", "\n", "In the above case, the size of each subvolume is 0.25 and the diffusion coefficient is 1. Thus the time scale is about 0.01 sec.\n", "If the molecules of the `Species` `A` and `B` are in the same subvolume, it takes about 1.5 sec to react, so in most cases the diffusion is faster than the reaction and the molecules move to other subvolume even dissociated in the same subvolume.\n", "The smaller $l$, the smaller subvolume's volume $l^3$, so the reaction rate after dissociation is faster, and the time of the diffusion and the transition between the subvolume gets smaller too." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 9.4. Molecular localization\n", "\n", "We have used `add_molecules` function to add molecules to `World` in the same manner as `ode` or `gillespie`.\n", "Meanwhile in `meso.World`, you can put in molecules according to the spatial presentation." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from ecell4.prelude import *\n", "\n", "w = meso.World(ones(), Integer3(3, 3, 3))\n", "w.add_molecules(Species('A'), 120)\n", "w.add_molecules(Species('B'), 120, Integer3(1, 1, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In `meso.World`, you can set the subvolume and the molecule locations by giving the third argument `Integer3` to `add_molecules`.\n", "In the above example, the molecule type `A` spreads all over the space, but the molecule type `B` only locates in a subvolume at the center of the volume.\n", "To check this, use `num_molecules` function with a coordinate." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "120\n", "0\n", "120\n" ] } ], "source": [ "print(w.num_molecules(Species('B'))) # must print 120\n", "print(w.num_molecules(Species('B'), Integer3(0, 0, 0))) # must print 0\n", "print(w.num_molecules(Species('B'), Integer3(1, 1, 1))) # must print 120" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Furthermore, if you have Jupyter Notebook environment, you can visualize the molecular localization with `ecell4.plotting` module, `plotting.plot_world` or simply `show`." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plotting.plot_world(w) # or `show(w)`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`plotting.plot_world` function visualize the location of the molecules in Jupyter Notebook cell by giving the `World`. You can set the molecule size with `radius`.\n", "Now you can set the molecular localization to the `World`, next let's simulate this.\n", "In the above example, we set the diffusion coefficient 1 and the World side 1, so 10 seconds is enough to stir this.\n", "After the simulation, check the result with calling `plotting.plot_world` again." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 9.5. Molecular initial location and the reaction\n", "\n", "This is an extreme example to check how the molecular localization affects the reaction." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "from ecell4.prelude import *\n", "\n", "with species_attributes():\n", " A | B | C | {'D': '1'}\n", "\n", "with reaction_rules():\n", " A + B > C | 0.01\n", "\n", "m = get_model()\n", "w = meso.World(Real3(10, 1, 1), Integer3(10, 1, 1))\n", "w.bind_to(m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This model consists only of a simple binding reaction. The `World` is a long x axis cuboid, and molecules are located off-center." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "w.add_molecules(Species('A'), 1200, Integer3(2, 0, 0))\n", "w.add_molecules(Species('B'), 1200, Integer3(7, 0, 0))\n", "plotting.plot_world(w)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On a different note, there is a reason not to set `Integer3(0, 0, 0)` or `Integer3(9, 0, 0)`.\n", "In E-Cell4, basically we adopt periodic boundary condition for everything.\n", "So the forementioned two subvolumes are actually adjoining.\n", "\n", "After realizing the location expected, simulate it with `meso.Simulator`." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sim = meso.Simulator(w)\n", "obs1 = NumberObserver(('A', 'B', 'C')) # XXX: saves the numbers after every steps\n", "sim.run(5, obs1)\n", "show(obs1)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "show(w)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To check the effect of initial coordinates, we recommend that you locate the molecules homogeneously with `meso` or simulate with `gillespie`." ] }, { "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": [ "w = meso.World(Real3(10, 1, 1), Integer3(10, 1, 1))\n", "w.bind_to(m)\n", "w.add_molecules(Species('A'), 1200)\n", "w.add_molecules(Species('B'), 1200)\n", "\n", "sim = meso.Simulator(w)\n", "obs2 = NumberObserver(('A', 'B', 'C')) # XXX: saves the numbers after every steps\n", "sim.run(5, obs2)\n", "\n", "show(obs1, \"-\", obs2, \"--\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solid line is biased case, and the dash line is non-biased.\n", "The biased reaction is obviously slow.\n", "And you may notice that the shape of time-series is also different between the solid and dash lines.\n", "This is because it takes some time for the molecule `A` and `B` to collide due to the initial separation.\n", "Actually it takes $4^2/2(D_\\mathrm{A}+D_\\mathrm{B})=4$ seconds to move the initial distance between `A` and `B` (about 4)." ] } ], "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 }