{ "cells": [ { "cell_type": "markdown", "id": "99bf0c38", "metadata": {}, "source": [ "# Reaction-Diffusion in 1-D: `A + B <-> C` in 1-D, taken to equilibrium\n", "#### Mostly forward reaction, with 1st-order kinetics for each species\n", "\n", "Initial concentrations of `A` and `B` are spatially separated to the opposite ends of the system;\n", "as a result, no `C` is being generated.\n", "\n", "But, as soon as `A` and `B`, from their respective distant originating points at the edges, \n", "diffuse into the middle - and into each other - the reaction starts,\n", "consuming both `A` and `B`,\n", "until an equilibrium is reached in both diffusion and reactions." ] }, { "cell_type": "markdown", "id": "0830bd78", "metadata": {}, "source": [ "### TAGS : \"reactions 1D\", \"diffusion 1D\", \"quick-start\"" ] }, { "cell_type": "code", "execution_count": 1, "id": "ad8c5806", "metadata": {}, "outputs": [], "source": [ "LAST_REVISED = \"May 19, 2025\"\n", "LIFE123_VERSION = \"1.0.0rc3\" # Library version this experiment is based on" ] }, { "cell_type": "code", "execution_count": 2, "id": "9ae363d7", "metadata": {}, "outputs": [], "source": [ "#import set_path # Using MyBinder? Uncomment this before running the next cell!" ] }, { "cell_type": "code", "execution_count": 3, "id": "01e3ecbd", "metadata": {}, "outputs": [], "source": [ "#import sys\n", "#sys.path.append(\"C:/some_path/my_env_or_install\") # CHANGE to the folder containing your venv or libraries installation!\n", "# NOTE: If any of the imports below can't find a module, uncomment the lines above, or try: import set_path \n", "\n", "from life123 import check_version, BioSim1D, ChemData, UniformCompartment" ] }, { "cell_type": "code", "execution_count": 4, "id": "73d0566f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OK\n" ] } ], "source": [ "check_version(LIFE123_VERSION)" ] }, { "cell_type": "code", "execution_count": null, "id": "096fd5b5", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 5, "id": "4630f12e-842a-4aa8-99d4-bc6259551cbd", "metadata": {}, "outputs": [], "source": [ "# Initialize the system\n", "chem_data = ChemData(names=[\"A\", \"B\", \"C\"], diffusion_rates=[50., 50., 1.], # `A` and `B` diffuse fast; `C` diffuses slowly\n", " plot_colors=[\"red\", \"blue\", \"purple\"]) # Color choice is a reminder that red + blue = purple" ] }, { "cell_type": "code", "execution_count": 6, "id": "ff6f3c2d-dda5-4e9f-8bfe-078e0101bad7", "metadata": {}, "outputs": [], "source": [ "bio = BioSim1D(n_bins=7, chem_data=chem_data)" ] }, { "cell_type": "code", "execution_count": 7, "id": "dc6bceaa-d222-4777-a94a-d0fff38bd803", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 1 (at temp. 25 C)\n", "0: A + B <-> C (kF = 20 / kR = 2 / delta_G = -5,708 / K = 10) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {\"B\" (blue), \"C\" (purple), \"A\" (red)}\n" ] } ], "source": [ "reactions = bio.get_reactions()\n", "\n", "# Reaction A + B <-> C , with 1st-order kinetics for each species; note that it's mostly in the forward direction\n", "reactions.add_reaction(reactants=[\"A\", \"B\"], products=\"C\", forward_rate=20., reverse_rate=2.)\n", "reactions.describe_reactions()" ] }, { "cell_type": "code", "execution_count": null, "id": "e1739506", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "bef25a87", "metadata": {}, "source": [ "# TIME 0 : Inject initial concentrations of `A` and `B` at opposite ends of the system" ] }, { "cell_type": "code", "execution_count": 8, "id": "39bc3720", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "7 bins and 3 chemical species\n" ] }, { "data": { "text/html": [ "
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")" ] }, { "cell_type": "code", "execution_count": null, "id": "c4618c1f-2562-40af-b247-0e2b22f9490d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "7e439d4a-76a1-4b46-b214-d20b0415dd3a", "metadata": {}, "source": [ "## Enable History" ] }, { "cell_type": "code", "execution_count": 12, "id": "119b599d-d2c4-4aa2-8165-5990caf119ac", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{0: {'A': 20.0, 'B': 0.0, 'C': 0.0},\n", " 6: {'A': 0.0, 'B': 20.0, 'C': 0.0},\n", " 3: {'A': 0.0, 'B': 0.0, 'C': 0.0}}" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Let's take a peek at the current concentrations of all chemicals in the bins with the initial concentration injections,\n", "# as well as at the bin in the very center\n", "bio.selected_concentrations(bins=[0, 6, 3])" ] }, { "cell_type": "code", "execution_count": 13, "id": "e94c5e69-65b8-4d08-89d8-331005da7b03", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "History enabled for bins [0, 6, 3] and chemicals None (None means 'all')\n" ] } ], "source": [ "# Let's enable history for those same 3 bins\n", "bio.enable_history(bins=[0, 6, 3], frequency=2, take_snapshot=True) # Taking a snapshot to include the current initial state in the history" ] }, { "cell_type": "code", "execution_count": null, "id": "a2a7f85e-4308-4aee-9081-d1effadc7f27", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "f1a6569e-ef48-45dd-8eeb-f6e973fd9614", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "d185e119", "metadata": { "tags": [] }, "source": [ "### First step : advance to time t=0.002" ] }, { "cell_type": "code", "execution_count": 14, "id": "56a56a54", "metadata": {}, "outputs": [], "source": [ "delta_t = 0.002 # This will be our time \"quantum\" for this experiment" ] }, { "cell_type": "code", "execution_count": 15, "id": "91fb40dd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0.002:\n", "7 bins and 3 chemical species\n" ] }, { "data": { "text/html": [ "
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SpeciesDiff rateBin 0Bin 1Bin 2Bin 3Bin 4Bin 5Bin 6
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" ], "text/plain": [ " Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 Bin 5 Bin 6\n", "0 A 50.0 18.0 2.0 0.0 0.0 0.0 0.0 0.0\n", "1 B 50.0 0.0 0.0 0.0 0.0 0.0 2.0 18.0\n", "2 C 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# First step\n", "bio.react_diffuse(time_step=delta_t, n_steps=1)\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 16, "id": "c1ad464d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM SNAPSHOT at time 0.002:\n" ] }, { "data": { "text/html": [ "
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System snapshot at time t=0.002" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 6 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -1, 19 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")" ] }, { "cell_type": "code", "execution_count": null, "id": "09759091", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "83833c08", "metadata": {}, "source": [ "### Several more steps : advance to time t=0.016" ] }, { "cell_type": "code", "execution_count": 19, "id": "a8c8a4ce", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0.004:\n", "[[16.4 3.4 0.2 0. 0. 0. 0. ]\n", " [ 0. 0. 0. 0. 0.2 3.4 16.4]\n", " [ 0. 0. 0. 0. 0. 0. 0. ]]\n", "SYSTEM STATE at Time t = 0.006:\n", "[[15.1 4.38 0.5 0.02 0. 0. 0. ]\n", " [ 0. 0. 0. 0.02 0.5 4.38 15.1 ]\n", " [ 0. 0. 0. 0. 0. 0. 0. ]]\n", "SYSTEM STATE at Time t = 0.008:\n", "[[1.4028e+01 5.0640e+00 8.4000e-01 6.5984e-02 2.0000e-03 0.0000e+00\n", " 0.0000e+00]\n", " [0.0000e+00 0.0000e+00 2.0000e-03 6.5984e-02 8.4000e-01 5.0640e+00\n", " 1.4028e+01]\n", " [0.0000e+00 0.0000e+00 0.0000e+00 1.6000e-05 0.0000e+00 0.0000e+00\n", " 0.0000e+00]]\n", "SYSTEM STATE at Time t = 0.01:\n", "[[1.31316000e+01 5.53800000e+00 1.18493120e+00 1.36813108e-01\n", " 8.13120000e-03 2.00000000e-04 0.00000000e+00]\n", " [0.00000000e+00 2.00000000e-04 8.13120000e-03 1.36813108e-01\n", " 1.18493120e+00 5.53800000e+00 1.31316000e+01]\n", " [0.00000000e+00 0.00000000e+00 6.72320000e-05 1.90027530e-04\n", " 6.72320000e-05 0.00000000e+00 0.00000000e+00]]\n", "SYSTEM STATE at Time t = 0.012:\n", "[[1.23722400e+01 5.86200882e+00 1.51504114e+00 2.28008774e-01\n", " 1.98211433e-02 9.28816000e-04 2.00000000e-05]\n", " [2.00000000e-05 9.28816000e-04 1.98211433e-02 2.28008774e-01\n", " 1.51504114e+00 5.86200882e+00 1.23722400e+01]\n", " [0.00000000e+00 4.44384640e-05 4.52470702e-04 9.37489304e-04\n", " 4.52470702e-04 4.44384640e-05 0.00000000e+00]]\n", "SYSTEM STATE at Time t = 0.014:\n", "[[1.17212070e+01 6.07811756e+00 1.81983529e+00 3.33817478e-01\n", " 3.75512896e-02 2.50955578e-03 1.00983808e-04]\n", " [1.00983808e-04 2.50955578e-03 3.75512896e-02 3.33817478e-01\n", " 1.81983529e+00 6.07811756e+00 1.17212070e+01]\n", " [9.98666893e-06 2.62777001e-04 1.65200869e-03 3.01131931e-03\n", " 1.65200869e-03 2.62777001e-04 9.98666893e-06]]\n", "SYSTEM STATE at Time t = 0.016:\n", "[[1.11568507e+01 6.21598919e+00 2.09433486e+00 4.48347321e-01\n", " 6.09468566e-02 5.16378807e-03 2.94534867e-04]\n", " [2.94534867e-04 5.16378807e-03 6.09468566e-02 4.48347321e-01\n", " 2.09433486e+00 6.21598919e+00 1.11568507e+01]\n", " [5.77983875e-05 8.74133777e-04 4.37882730e-03 7.45120113e-03\n", " 4.37882730e-03 8.74133777e-04 5.77983875e-05]]\n" ] } ], "source": [ "# Continue with several delta_t steps\n", "for _ in range(7):\n", " bio.react_diffuse(time_step=delta_t, n_steps=1)\n", " bio.describe_state(concise=True)" ] }, { "cell_type": "code", "execution_count": 20, "id": "3b0fa997", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM SNAPSHOT at time 0.016:\n" ] }, { "data": { "text/html": [ "
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")" ] }, { "cell_type": "code", "execution_count": null, "id": "4d5292fb", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "2aba5573", "metadata": {}, "source": [ "### Several groups of longer runs : advance to time t=0.096" ] }, { "cell_type": "code", "execution_count": 23, "id": "c63d3fa6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "+ 10 steps later:\n", "SYSTEM STATE at Time t = 0.036:\n", "[[7.92576526 5.95824446 3.31917619 1.31581241 0.35918764 0.07038175\n", " 0.01251229]\n", " [0.01251229 0.07038175 0.35918764 1.31581241 3.31917619 5.95824446\n", " 7.92576526]\n", " [0.01555131 0.07914514 0.24409632 0.36133444 0.24409632 0.07914514\n", " 0.01555131]]\n", "\n", "\n", "+ 10 steps later:\n", "SYSTEM STATE at Time t = 0.056:\n", "[[6.29600683 5.06118233 3.15970431 1.44600532 0.47532616 0.12019317\n", " 0.03045075]\n", " [0.03045075 0.12019317 0.47532616 1.44600532 3.15970431 5.06118233\n", " 6.29600683]\n", " [0.07498099 0.28735559 0.78250579 1.12144639 0.78250579 0.28735559\n", " 0.07498099]]\n", "\n", "\n", "+ 10 steps later:\n", "SYSTEM STATE at Time t = 0.076:\n", "[[5.13609493 4.21433746 2.7454954 1.35328847 0.4992179 0.14748071\n", " 0.04559633]\n", " [0.04559633 0.14748071 0.4992179 1.35328847 2.7454954 4.21433746\n", " 5.13609493]\n", " [0.1615343 0.52706799 1.31954666 1.8421909 1.31954666 0.52706799\n", " 0.1615343 ]]\n", "\n", "\n", "+ 10 steps later:\n", "SYSTEM STATE at Time t = 0.096:\n", "[[4.2209458 3.50170661 2.34873485 1.23042685 0.50075376 0.16821567\n", " 0.0606064 ]\n", " [0.0606064 0.16821567 0.50075376 1.23042685 2.34873485 3.50170661\n", " 4.2209458 ]\n", " [0.25982593 0.75464804 1.76534285 2.40897641 1.76534285 0.75464804\n", " 0.25982593]]\n" ] } ], "source": [ "# Now, do several group of longer runs\n", "for _ in range(4):\n", " print(\"\\n\\n+ 10 steps later:\")\n", " bio.react_diffuse(time_step=delta_t, n_steps=10)\n", " bio.describe_state(concise=True)" ] }, { "cell_type": "code", "execution_count": 24, "id": "39a02075", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM SNAPSHOT at time 0.096:\n" ] }, { "data": { "text/html": [ "
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"gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Reaction-Diffusion A + B <-> C
System snapshot at time t=0.096" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 6 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.17052356207501188, 4.452075766293424 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")" ] }, { "cell_type": "code", "execution_count": null, "id": "8c178803-d0fe-4c46-805d-0554a6a1b7b9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f1cb800f", "metadata": {}, "source": [ "### Advance to time t=0.336" ] }, { "cell_type": "code", "execution_count": 27, "id": "e6590e07", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "+++ 30 steps later:\n", "SYSTEM STATE at Time t = 0.156:\n", "[[2.39736516 2.05453684 1.50075745 0.92781069 0.48529917 0.22472198\n", " 0.11560109]\n", " [0.11560109 0.22472198 0.48529917 0.92781069 1.50075745 2.05453684\n", " 2.39736516]\n", " [0.57202182 1.29674075 2.59761288 3.36115673 2.59761288 1.29674075\n", " 0.57202182]]\n", "\n", "\n", "+++ 30 steps later:\n", "SYSTEM STATE at Time t = 0.216:\n", "[[1.43652347 1.28435794 1.02979899 0.73906751 0.47257834 0.28028088\n", " 0.18445971]\n", " [0.18445971 0.28028088 0.47257834 0.73906751 1.02979899 1.28435794\n", " 1.43652347]\n", " [0.8597085 1.64384498 2.94653088 3.67276444 2.94653088 1.64384498\n", " 0.8597085 ]]\n", "\n", "\n", "+++ 30 steps later:\n", "SYSTEM STATE at Time t = 0.276:\n", "[[0.94369275 0.88396666 0.77535511 0.63019458 0.46959173 0.33300009\n", " 0.25664867]\n", " [0.25664867 0.33300009 0.46959173 0.63019458 0.77535511 0.88396666\n", " 0.94369275]\n", " [1.09382006 1.85282552 3.05530325 3.70365274 3.05530325 1.85282552\n", " 1.09382006]]\n", "\n", "\n", "+++ 30 steps later:\n", "SYSTEM STATE at Time t = 0.336:\n", "[[0.69798039 0.68111864 0.64213556 0.57196145 0.47435422 0.37878712\n", " 0.32097915]\n", " [0.32097915 0.37878712 0.47435422 0.57196145 0.64213556 0.68111864\n", " 0.69798039]\n", " [1.27482053 1.97696102 3.05404907 3.62102222 3.05404907 1.97696102\n", " 1.27482053]]\n" ] } ], "source": [ "# Continue the simulation\n", "for _ in range(4):\n", " print(\"\\n\\n+++ 30 steps later:\")\n", " bio.react_diffuse(time_step=delta_t, n_steps=30)\n", " bio.describe_state(concise=True)" ] }, { "cell_type": "code", "execution_count": 28, "id": "82f0c6aa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM SNAPSHOT at time 0.336:\n" ] }, { "data": { "text/html": [ "
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")" ] }, { "cell_type": "code", "execution_count": null, "id": "95f0b604-731f-4a1f-ac34-12e1db71c529", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "3fc7b647", "metadata": {}, "source": [ "### Advance to time t=0.736" ] }, { "cell_type": "code", "execution_count": 31, "id": "fe80a6cd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "+++++ 50 steps later:\n", "SYSTEM STATE at Time t = 0.436:\n", "[[0.53513401 0.5437576 0.54867719 0.53174198 0.48696931 0.43256384\n", " 0.39647767]\n", " [0.39647767 0.43256384 0.48696931 0.53174198 0.54867719 0.5437576\n", " 0.53513401]\n", " [1.49508439 2.09028492 2.96849022 3.41695934 2.96849022 2.09028492\n", " 1.49508439]]\n", "\n", "+++++ 50 steps later:\n", "SYSTEM STATE at Time t = 0.536:\n", "[[0.48751897 0.50165856 0.51768297 0.51798994 0.49498758 0.46076288\n", " 0.4365229 ]\n", " [0.4365229 0.46076288 0.49498758 0.51798994 0.51768297 0.50165856\n", " 0.48751897]\n", " [1.65797359 2.15520413 2.86719131 3.22213812 2.86719131 2.15520413\n", " 1.65797359]]\n", "\n", "+++++ 50 steps later:\n", "SYSTEM STATE at Time t = 0.636:\n", "[[0.47470241 0.48869324 0.50591479 0.51120986 0.49756771 0.47365233\n", " 0.45594669]\n", " [0.45594669 0.47365233 0.49756771 0.51120986 0.50591479 0.48869324\n", " 0.47470241]\n", " [1.78774781 2.20070508 2.77778668 3.05983384 2.77778668 2.20070508\n", " 1.78774781]]\n", "\n", "+++++ 50 steps later:\n", "SYSTEM STATE at Time t = 0.736:\n", "[[0.47257504 0.48488523 0.50040062 0.50652836 0.49733067 0.47935337\n", " 0.46567693]\n", " [0.46567693 0.47935337 0.49733067 0.50652836 0.50040062 0.48488523\n", " 0.47257504]\n", " [1.89367665 2.23536347 2.70338342 2.9284027 2.70338342 2.23536347\n", " 1.89367665]]\n" ] } ], "source": [ "# Continue the simulation\n", "for _ in range(4):\n", " print(\"\\n+++++ 50 steps later:\")\n", " bio.react_diffuse(time_step=delta_t, n_steps=50)\n", " bio.describe_state(concise=True)" ] }, { "cell_type": "code", "execution_count": 32, "id": "220b160b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM SNAPSHOT at time 0.736:\n" ] }, { "data": { "text/html": [ "
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")" ] }, { "cell_type": "code", "execution_count": null, "id": "abe80acf-6a9c-4d59-b08d-4f1099dfdc03", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "9f9285af", "metadata": {}, "source": [ "### Advance to time t=1.936" ] }, { "cell_type": "code", "execution_count": 35, "id": "d7afc37d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "+++++++++++++++ 150 steps later:\n", "SYSTEM STATE at Time t = 1.036:\n", "[[0.47744061 0.4845086 0.49346999 0.49747162 0.49331726 0.48423339\n", " 0.47709743]\n", " [0.47709743 0.48423339 0.49331726 0.49747162 0.49346999 0.4845086\n", " 0.47744061]\n", " [2.11014111 2.3007984 2.55138084 2.66782039 2.55138084 2.3007984\n", " 2.11014111]]\n", "\n", "+++++++++++++++ 150 steps later:\n", "SYSTEM STATE at Time t = 1.336:\n", "[[0.48168804 0.48554921 0.49041386 0.49259511 0.49040626 0.48553552\n", " 0.48167096]\n", " [0.48167096 0.48553552 0.49040626 0.49259511 0.49041386 0.48554921\n", " 0.48168804]\n", " [2.2288825 2.33377315 2.46847456 2.52988061 2.46847456 2.33377315\n", " 2.2288825 ]]\n", "\n", "+++++++++++++++ 150 steps later:\n", "SYSTEM STATE at Time t = 1.636:\n", "[[0.48405962 0.48615505 0.48878337 0.48995858 0.48878299 0.48615437\n", " 0.48405877]\n", " [0.48405877 0.48615437 0.48878299 0.48995858 0.48878337 0.48615505\n", " 0.48405962]\n", " [2.29360822 2.350868 2.42345244 2.45618991 2.42345244 2.350868\n", " 2.29360822]]\n", "\n", "+++++++++++++++ 150 steps later:\n", "SYSTEM STATE at Time t = 1.936:\n", "[[0.48534444 0.4864795 0.48789956 0.48853323 0.48789955 0.48647947\n", " 0.4853444 ]\n", " [0.4853444 0.48647947 0.48789955 0.48853323 0.48789956 0.4864795\n", " 0.48534444]\n", " [2.32876222 2.35988613 2.39905402 2.4166151 2.39905402 2.35988613\n", " 2.32876222]]\n" ] } ], "source": [ "# Continue the simulation\n", "for _ in range(4):\n", " print(\"\\n+++++++++++++++ 150 steps later:\")\n", " bio.react_diffuse(time_step=delta_t, n_steps=150)\n", " bio.describe_state(concise=True)" ] }, { "cell_type": "code", "execution_count": 36, "id": "4616fa81", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM SNAPSHOT at time 1.936:\n" ] }, { "data": { "text/html": [ "
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System snapshot at time t=1.936" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 6 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ 0.37805158552334517, 2.523907914971665 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")" ] }, { "cell_type": "code", "execution_count": null, "id": "f22400ca-9ecb-4e34-a7f8-49cd73dc25e5", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "4bbf1d0d", "metadata": {}, "source": [ "### Advance to time t=5.936" ] }, { "cell_type": "code", "execution_count": 39, "id": "8e25b525", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "++++++++++ ... ++++++++++ 1,000 steps later:\n", "SYSTEM STATE at Time t = 3.936:\n", "[[0.48683089 0.48684974 0.48687325 0.48688372 0.48687325 0.48684974\n", " 0.48683089]\n", " [0.48683089 0.48684974 0.48687325 0.48688372 0.48687325 0.48684974\n", " 0.48683089]\n", " [2.36959744 2.37011659 2.37076408 2.37105229 2.37076408 2.37011659\n", " 2.36959744]]\n", "\n", "++++++++++ ... ++++++++++ 1,000 steps later:\n", "SYSTEM STATE at Time t = 5.936:\n", "[[0.48685551 0.48685582 0.48685621 0.48685639 0.48685621 0.48685582\n", " 0.48685551]\n", " [0.48685551 0.48685582 0.48685621 0.48685639 0.48685621 0.48685582\n", " 0.48685551]\n", " [2.37027551 2.37028411 2.37029484 2.37029961 2.37029484 2.37028411\n", " 2.37027551]]\n" ] } ], "source": [ "# Continue the simulation\n", "for _ in range(2):\n", " print(\"\\n++++++++++ ... ++++++++++ 1,000 steps later:\")\n", " bio.react_diffuse(time_step=delta_t, n_steps=1000)\n", " bio.describe_state(concise=True)" ] }, { "cell_type": "code", "execution_count": 40, "id": "e0202797", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM SNAPSHOT at time 5.936:\n" ] }, { "data": { "text/html": [ "
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System snapshot at time t=5.936" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 6.5 ] }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 6.5 ] }, "xaxis3": { "anchor": "y3", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 6.5 ], "title": { "text": "Bin number" } }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0.7116666666666667, 1 ], "range": [ -0.5, 0.5 ], "type": "category" }, "yaxis2": { "anchor": "x2", "autorange": true, "domain": [ 0.35583333333333333, 0.6441666666666667 ], "range": [ -0.5, 0.5 ], "type": "category" }, "yaxis3": { "anchor": "x3", "autorange": true, "domain": [ 0, 0.28833333333333333 ], "range": [ -0.5, 0.5 ], "type": "category" } } }, "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")" ] }, { "cell_type": "code", "execution_count": null, "id": "83d7c318-78f3-410b-879b-849c96c6549a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "1a1b82a4-acff-4090-825b-cd2fd59ff3c7", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "978c17e7", "metadata": { "tags": [] }, "source": [ "## Equilibrium in both diffusion and reaction \n", "All bins now have essentially uniform concentration, for each of the chemicals" ] }, { "cell_type": "markdown", "id": "67ded68a-b09f-42fd-b287-bdbad5da66b9", "metadata": {}, "source": [ "In each bin at equilibrium, [A] = 0.49, [B] = 0.49, [C] = 2.37 \n", "Let's verify that it's consistent with our (mostly-forward) equation `A + B <-> C`:" ] }, { "cell_type": "code", "execution_count": 43, "id": "9f2df08b-2d42-48f8-9295-b6dc331a2498", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A + B <-> C\n", "Current concentrations: [A] = 0.4869 ; [B] = 0.4869 ; [C] = 2.37\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 9.99997\n", " Formula used: [C] / ([A][B])\n", "2. Ratio of forward/reverse reaction rates: 10\n", "Discrepancy between the two values: 0.0003116 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.reaction_in_equilibrium(bin_address=0, rxn_index=0, explain=True) # Choice of bin is immaterial now, because they have all equilibrated" ] }, { "cell_type": "code", "execution_count": null, "id": "199fb008-d2f4-4048-8728-4ea098164347", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "613b2dc8-ecb4-4487-a6a9-bd13dcfd6bad", "metadata": {}, "source": [ "**Mass conservation**: The initial total quantities of `A` and `B` were 20 each, and zero `C`. Here's how they have changed:" ] }, { "cell_type": "code", "execution_count": 44, "id": "1f67862d-95ee-4ab2-8af4-9e4c74e1d409", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "16.592008515178144" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "20. - bio.chem_quantity(chem_label=\"A\") # Tot. decrease in `A`" ] }, { "cell_type": "code", "execution_count": 45, "id": "c969703e-d05c-433b-8be5-31b1269f024f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "16.592008515178144" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "20. - bio.chem_quantity(chem_label=\"B\") # Tot. decrease in `B`" ] }, { "cell_type": "code", "execution_count": 46, "id": "067d499a-db50-452d-9a87-351d8ca55d5d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "16.592008515178133" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.chem_quantity(chem_label=\"C\") # Tot. increase in `C`" ] }, { "cell_type": "markdown", "id": "941266a6-8fc4-4af3-8f19-b189a9fabebf", "metadata": {}, "source": [ "All consistent with the stoichiometry of our reaction `A + B <-> C`" ] }, { "cell_type": "code", "execution_count": null, "id": "d40794ca-586b-44d1-9287-7cca8c90e857", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "c559ab1a-2084-45e3-9e02-83f3aa9b49db", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "c1954c6e", "metadata": { "tags": [] }, "source": [ "# Plots of changes of concentration with time" ] }, { "cell_type": "code", "execution_count": 47, "id": "23682c52-a5fc-44a1-b704-1e7d243614be", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
Concentration=%{y}", "legendgroup": "A", "line": { "color": "red", "dash": "solid", "shape": "linear" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "showlegend": true, "type": "scattergl", "x": [ 0, 0.020000000000000004, 0.024000000000000007, 0.02800000000000001, 0.032000000000000015, 0.03600000000000002, 0.04000000000000002, 0.044000000000000025, 0.04800000000000003, 0.05200000000000003, 0.056000000000000036, 0.06000000000000004, 0.06400000000000004, 0.06800000000000005, 0.07200000000000005, 0.07600000000000005, 0.08000000000000006, 0.08400000000000006, 0.08800000000000006, 0.09200000000000007, 0.09600000000000007, 0.10000000000000007, 0.10400000000000008, 0.10800000000000008, 0.11200000000000009, 0.11600000000000009, 0.12000000000000009, 0.1240000000000001, 0.12800000000000009, 0.1320000000000001, 0.1360000000000001, 0.1400000000000001, 0.1440000000000001, 0.1480000000000001, 0.1520000000000001, 0.1560000000000001, 0.16000000000000011, 0.16400000000000012, 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.plot_history_single_bin(bin_address=3)" ] }, { "cell_type": "markdown", "id": "48abd311", "metadata": {}, "source": [ "`A` and `B` overlap on the plot, due to the symmetry of the system. \n", "Initially, in the middle bin, neither `A` nor `B` are present; over time they diffuse there... but then they react and get consumed (producing `C`), to an equilibrium value. \n", "Meanwhile, `C` gradually diffuses to uniformity." ] }, { "cell_type": "code", "execution_count": null, "id": "88a2f2f2-2d19-4a0b-b1a4-aa7138333899", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }