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{
"cell_type": "markdown",
"id": "f43cd6af-d772-43f7-a4da-30bcc41c7e50",
"metadata": {},
"source": [
"## A transient concentration inside an organelle can \"escape\" from it by passive transport across the membranes, only it if diffuses quicky - before a reaction transforms it into a chemical unable to cross membranes.\n",
"### The \"window of opportunity to escape\" closes fast!\n",
"\n",
"#### SCENARIO 1 : `A`, the chemical injected into the organelle, diffuses slowly - and gets converted into `C` (which cannot cross the membranes) by the reaction `A + B <-> C` , before it has a chance to leave the organelle. Trapped! \n",
"\n",
"#### SCENARIO 2 : `A` diffuses fast enough to \"escape\" out of the organelle before getting completely trapped there\n",
"\n",
"Note: `B` is plentiful everywhere\n",
"\n",
"**Recommended background:** \n",
"\n",
"* experiment `1D/diffusion/membrane_gradient_diffusion_1`\n",
"* experiment `1D/reaction_diffusion/transient_getting_mopped_up`"
]
},
{
"cell_type": "markdown",
"id": "6398f935-72f9-458e-90ab-f02a05132302",
"metadata": {},
"source": [
"### TAGS : \"reactions 1D\", \"diffusion 1D\", \"membranes 1D\""
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "2b6f0de7-d66f-4f4e-8850-8a092fca20b8",
"metadata": {},
"outputs": [],
"source": [
"LAST_REVISED = \"Aug. 28, 2025\"\n",
"LIFE123_VERSION = \"1.0.0rc6\" # Library version this experiment is based on"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "806647d0-4c0b-4abf-8d86-53460378d93e",
"metadata": {},
"outputs": [],
"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "f6e0f263",
"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 BioSim1D, ChemData, ReactionRegistry, PlotlyHelper, check_version"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "fe26e828-4428-4754-af9b-b54739b3a109",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"OK\n"
]
}
],
"source": [
"check_version(LIFE123_VERSION)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "79045ff7-ed3f-4c3a-be79-9f8a4476f3de",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "e9c62aaf-525f-46ef-b923-ec3083f8a4c0",
"metadata": {},
"source": [
"## Initialize the Chemical Data and the Reactions. They will be re-used in both scenarios"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "aeb04519-513f-4509-b7e0-5d42f1196613",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 1\n",
"0: A + B <-> C (Elementary Synthesis reaction) (kF = 0.1 / kR = 0.02 / K = 5)\n",
"Chemicals involved in the above reactions: {\"A\" (red), \"B\" (turquoise), \"C\" (green)}\n"
]
}
],
"source": [
"# Initialize the chemical data\n",
"chem_data = ChemData(names=[\"A\", \"B\", \"C\"], \n",
" diffusion_rates=[100., 800., 500.], # The diffusion rate of `A` will later be increased in scenario 2\n",
" plot_colors=[\"red\", \"turquoise\", \"green\"]) \n",
"\n",
"rxns = ReactionRegistry(chem_data=chem_data)\n",
"\n",
"# Reaction A + B <-> C , with 1st-order kinetics for each species\n",
"# Note that the reaction is mostly in the forward direction\n",
"rxns.add_reaction(reactants=[\"A\", \"B\"], products=\"C\", kF=0.1, kR=0.02)\n",
"rxns.describe_reactions()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "409e1d41-2a65-4668-8b44-f5c0c36f1a35",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "a8832e6c-cf7f-4d88-a303-3c80d9218e6e",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "8221d2c0-4b6c-49b5-b24d-97c153e2a892",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "1369e74e-3ef3-4adf-b2f7-65ecce2d3183",
"metadata": {
"tags": []
},
"source": [
"# SCENARIO 1 - `A` diffuses slowly, relatively to the reaction `A + B <-> C`"
]
},
{
"cell_type": "markdown",
"id": "d233bc62-72ce-400c-9d66-0c91900ea6ab",
"metadata": {},
"source": [
"### Initialize the 1D System, including Membranes"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "5afedbcc-a438-4c84-9b3c-22460c3a1904",
"metadata": {},
"outputs": [],
"source": [
"bio = BioSim1D(n_bins=30, chem_data=chem_data, reactions=rxns)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "e17e8404-cc7e-45d2-a644-9e33c43f7e7c",
"metadata": {
"tags": []
},
"outputs": [
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"[(2, 18)]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
"bio.membranes().set_membranes(membranes=[ (2, 18) ])\n",
"bio.membranes().membrane_list"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "eba727ae-f919-490a-ace7-133871c85e66",
"metadata": {
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"source": [
"# We'll use 1/2 of the diffusion rate of `A` and `B` \n",
"# as their respective membrane permeability (by passive transport)\n",
"# `C`, by constrast, keeps the default 0 permeability (i.e., can't cross membranes)\n",
"bio.membranes().change_permeability(\"A\", 50.)\n",
"bio.membranes().change_permeability(\"B\", 400.)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "afff430b-e1b0-40c9-aab9-c2d039af4a9e",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "9c980cca-f504-4be4-aa91-2814e646eea1",
"metadata": {},
"outputs": [],
"source": []
},
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"cell_type": "markdown",
"id": "57fd3bb1-8d35-438c-8caa-d2ce5fe4f4e1",
"metadata": {},
"source": [
"### Initialize the initial concentrations"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "c984f746-d373-4a8a-89a4-9c3f0a3fca69",
"metadata": {},
"outputs": [],
"source": [
"# Set up the initial bell-shape concentration of `A`, with a narrow peak close to one end of the system,\n",
"# centered at 20% of the width of the system, i.e. at bin 6\n",
"bio.inject_bell_curve(chem_label=\"A\", center=0.2, sd=0.05, max_amplitude=200., bias=0., clip=(2,17))"
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},
{
"cell_type": "code",
"execution_count": 10,
"id": "cd5b5823-d0d0-47be-a4d3-0f636def4d6b",
"metadata": {
"tags": []
},
"outputs": [],
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"# Chemical `B`, by contrast, is uniformly distributed\n",
"bio.set_uniform_concentration(chem_label=\"B\", conc=80.)"
]
},
{
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"execution_count": 11,
"id": "98c74ccd-f9b9-4c5b-8697-8f9d07e0f6bc",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show as heatmap (including the membranes, shown in brown)\n",
"bio.system_heatmaps(title_prefix=\"Initial strong, localized transient of chemical `A` (membranes shown in brown)\")"
]
},
{
"cell_type": "markdown",
"id": "67cf3379-b11b-4a5a-a689-96a03218af38",
"metadata": {},
"source": [
"### The initial transient of `A` is localized within the compartment (organelle) between bins 2 and 18"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "b0064638-528f-40a6-9d07-8c4175af16e0",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
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],
"xaxis": "x",
"y": [
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142.00579996986352,
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2.2722154317017593e-05,
3.6255081875876574e-07,
3.5952350187834752e-09,
2.2157700615430542e-11,
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0,
0,
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],
"yaxis": "y"
},
{
"hovertemplate": "Chemical=B
Bin number=%{x}
concentration=%{y}",
"legendgroup": "B",
"line": {
"color": "turquoise",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "B",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
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"xaxis": "x",
"y": [
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],
"yaxis": "y"
},
{
"hovertemplate": "Chemical=C
Bin number=%{x}
concentration=%{y}",
"legendgroup": "C",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "C",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
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"y": [
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],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"plot_bgcolor": "oldlace",
"shapes": [
{
"line": {
"color": "brown",
"dash": "solid",
"width": 2
},
"type": "line",
"x0": 1.5,
"x1": 1.5,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "brown",
"dash": "solid",
"width": 2
},
"type": "line",
"x0": 17.5,
"x1": 17.5,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
}
],
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visualize the system state so far\n",
"bio.visualize_system(title_prefix=[\"Initial strong, localized transient of chemical `A` (membranes shown in brown).\", \n",
" \"Notice that `B` is plentiful everywhere\"])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "543d4c99-5d9b-4ea0-9a2d-d78b03d9b45d",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"30 bins and 3 chemical species\n",
"Membranes present: [(2, 18)]\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Species | \n",
" Diff rate | \n",
" Bin 0 | \n",
" Bin 1 | \n",
" Bin 2 | \n",
" Bin 3 | \n",
" Bin 4 | \n",
" Bin 5 | \n",
" Bin 6 | \n",
" Bin 7 | \n",
" ... | \n",
" Bin 20 | \n",
" Bin 21 | \n",
" Bin 22 | \n",
" Bin 23 | \n",
" Bin 24 | \n",
" Bin 25 | \n",
" Bin 26 | \n",
" Bin 27 | \n",
" Bin 28 | \n",
" Bin 29 | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" A | \n",
" 100.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 6.451484 | \n",
" 30.996376 | \n",
" 92.555278 | \n",
" 171.763341 | \n",
" 198.106523 | \n",
" 142.0058 | \n",
" ... | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 1 | \n",
" B | \n",
" 800.0 | \n",
" 80.0 | \n",
" 80.0 | \n",
" 80.000000 | \n",
" 80.000000 | \n",
" 80.000000 | \n",
" 80.000000 | \n",
" 80.000000 | \n",
" 80.0000 | \n",
" ... | \n",
" 80.0 | \n",
" 80.0 | \n",
" 80.0 | \n",
" 80.0 | \n",
" 80.0 | \n",
" 80.0 | \n",
" 80.0 | \n",
" 80.0 | \n",
" 80.0 | \n",
" 80.0 | \n",
"
\n",
" \n",
" | 2 | \n",
" C | \n",
" 500.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.0000 | \n",
" ... | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
"
\n",
"
3 rows × 32 columns
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Bin 0 | \n",
" Bin 1 | \n",
" Bin 2 | \n",
" Bin 3 | \n",
" Bin 4 | \n",
" Bin 5 | \n",
" Bin 6 | \n",
" Bin 7 | \n",
" Bin 8 | \n",
" Bin 9 | \n",
" Bin 10 | \n",
" Bin 11 | \n",
" Bin 12 | \n",
" Bin 13 | \n",
" Bin 14 | \n",
" Bin 15 | \n",
" Bin 16 | \n",
" Bin 17 | \n",
" Bin 18 | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 6.451484 | \n",
" 30.996376 | \n",
" 92.555278 | \n",
" 171.763341 | \n",
" 198.106523 | \n",
" 142.0058 | \n",
" 63.263381 | \n",
" 17.516112 | \n",
" 3.014131 | \n",
" 0.322348 | \n",
" 0.021425 | \n",
" 0.000885 | \n",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The first round of reaction-diffusion, over a small time duration\n",
"bio.react_diffuse(total_duration=0.025, fraction_max_step=0.5, show_status=True)\n",
"bio.visualize_system(title_prefix=[\"The localized transient `A` starts turning into `C` by `A + B <-> C`, \",\n",
" \"before it can diffuse away much. Notice the production of `C`, which can't cross the membrane\"])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "65d18999-b635-4338-a4fb-672af934e133",
"metadata": {},
"outputs": [
{
"data": {
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"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
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"colorbar": {
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"x": 1.02,
"y": 0.8558333333333333
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Bin #: %{x}
CHEM: %{y}A",
"type": "heatmap",
"xaxis": "x",
"xgap": 2,
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"yaxis": "y",
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{
"colorbar": {
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"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B",
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"xaxis": "x2",
"xgap": 2,
"y": [
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{
"colorbar": {
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Bin #: %{x}
CHEM: %{y}C",
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""
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# SAME IN HEATMAP VIEW\n",
"bio.system_heatmaps(title_prefix=[\"The localized transient `A` starts turning into `C` by `A + B <-> C`, \",\n",
" \"before it can diffuse away much. Notice the production of `C`, which can't cross the membrane\"])"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "e43ab0eb-ca3f-431a-959f-155b7d5870df",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "cdf2a6e6-a43e-4d58-b9f4-93df3d899271",
"metadata": {},
"source": [
"### Let's continue the reaction-diffusion"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "58c35d15-3bc6-4ee3-97e6-80bd5bca405c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'steps': 121, 'system time': '0.050416', 'time_step': 0.00020833125}\n"
]
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.react_diffuse(total_duration=0.025, fraction_max_step=0.5, show_status=True)\n",
"bio.visualize_system()"
]
},
{
"cell_type": "markdown",
"id": "ff8ac8bf-e417-40eb-ac6f-2f8bbb76559c",
"metadata": {},
"source": [
"### `A` is crossing to some extent the nearby left membrane, but not making it in time to reach the right membrane, before getting consumed "
]
},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.react_diffuse(total_duration=0.025, fraction_max_step=0.5, show_status=True)\n",
"bio.visualize_system()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "d6b3005d-98ad-45e4-a2f8-91c0a692daef",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'steps': 121, 'system time': '0.10083', 'time_step': 0.00020833125}\n"
]
},
{
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.react_diffuse(total_duration=0.025, fraction_max_step=0.5, show_status=True)\n",
"bio.visualize_system()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "8d007476-f594-4a49-a5d2-34f24f0adf66",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'steps': 241, 'system time': '0.15104', 'time_step': 0.00020833125}\n"
]
},
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""
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},
"metadata": {},
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],
"source": [
"bio.react_diffuse(total_duration=0.05, fraction_max_step=0.5, show_status=True)\n",
"bio.visualize_system()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "147abfaf-cc0c-411a-b939-a16ce8a41d69",
"metadata": {
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},
"outputs": [
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"text": [
"{'steps': 721, 'system time': '0.30125', 'time_step': 0.00020833125}\n"
]
},
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"source": [
"bio.react_diffuse(total_duration=0.15, fraction_max_step=0.5, show_status=True)\n",
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]
},
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"id": "bad9fda5-1512-43bc-a4b1-7084a5254202",
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.react_diffuse(total_duration=1.2, fraction_max_step=0.9, show_status=True)\n",
"bio.visualize_system()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "ef269d3a-9258-402f-9100-40a2219dcc56",
"metadata": {
"tags": []
},
"outputs": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "8c6a3551-7372-4862-81ba-42272f04c87e",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "26a071cb-08cb-4b88-8f71-9ef376006102",
"metadata": {},
"source": [
"### Now, let's look at a few individual bins, and their concentration change with time"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "3cd389bc-934b-4818-b59f-431f862595ec",
"metadata": {
"tags": []
},
"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",
"orientation": "v",
"showlegend": true,
"type": "scatter",
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"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": "Diffusion, membrane passive transport, and reaction `A + B <-> C`
Bin where the transient originates.
Concentration as a function of time of all chemicals at bin 6"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
1.4993600062499464
],
"title": {
"text": "SYSTEM TIME"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-11.005917949228307,
209.11244103533784
],
"title": {
"text": "Concentration"
},
"type": "linear"
}
}
},
"image/png": 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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(title_prefix=[\"Diffusion, membrane passive transport, and reaction `A + B <-> C`\",\n",
" \"Bin where the transient originates.\"], \n",
" bin_address=6)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "3837081c-93c1-474c-9136-c92b9677d90c",
"metadata": {
"tags": []
},
"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",
"orientation": "v",
"showlegend": true,
"type": "scatter",
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"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": "Diffusion, membrane passive transport, and reaction `A + B <-> C`
At left-most edge of system.
Concentration as a function of time of all chemicals at bin 0"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
1.4993600062499464
],
"title": {
"text": "SYSTEM TIME"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-4.444444444444445,
84.44444444444444
],
"title": {
"text": "Concentration"
},
"type": "linear"
}
}
},
"image/png": 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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(title_prefix=[\"Diffusion, membrane passive transport, and reaction `A + B <-> C`\",\n",
" \"At left-most edge of system.\"], \n",
" bin_address=0)"
]
},
{
"cell_type": "markdown",
"id": "72436fa0-1232-4158-96d9-4d72e97cc5c0",
"metadata": {},
"source": [
"#### Only a small amount of `A` reaches bin 0 early on, and later converts to `C`"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "d94dcf34-19bb-4ba4-b2d1-6f3d426862a6",
"metadata": {
"tags": []
},
"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",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.0031249687499999993,
0.006249937499999997,
0.00937490625,
0.012499875000000011,
0.015624843750000022,
0.018749812500000008,
0.021874781249999992,
0.024999749999999977,
0.02833304999999996,
0.03145801874999995,
0.03458298749999993,
0.03770795624999992,
0.0408329249999999,
0.043957893749999886,
0.04708286249999987,
0.050207831249999856,
0.05354113124999984,
0.056666099999999824,
0.05979106874999981,
0.0629160374999998,
0.06604100624999978,
0.06916597499999977,
0.07229094374999975,
0.07541591249999974,
0.07874921249999972,
0.0818741812499997,
0.08499914999999969,
0.08812411874999967,
0.09124908749999966,
0.09437405624999964,
0.09749902499999963,
0.10062399374999961,
0.1039572937499996,
0.10708226249999958,
0.11020723124999957,
0.11333219999999955,
0.11645716874999953,
0.11958213749999952,
0.1227071062499995,
0.1258320749999995,
0.12895704374999947,
0.13208201249999946,
0.13520698124999944,
0.13833194999999943,
0.1414569187499994,
0.1445818874999994,
0.14770685624999938,
0.15083182499999936,
0.15416512499999935,
0.15729009374999933,
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""
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Save this plot, for later comparison with the counterpart from scenario 2\n",
"scenario_1 = bio.plot_history_single_bin(title_prefix=[\"Diffusion, membrane passive transport, and reaction `A + B <-> C`\",\n",
" \"Faraway bin.\"], \n",
" bin_address=29)\n",
"scenario_1 "
]
},
{
"cell_type": "markdown",
"id": "8ebc84dc-7eae-4a58-8fa0-45865c1f866d",
"metadata": {},
"source": [
"## Virtually no `A` ever reaches the faraway bins!"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "de1c99c8-1bc6-4a05-aea2-575a01e57474",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "b116d97b-f1a4-4aec-83da-53d67f7b9fb8",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "012200d6-552e-4eba-bafc-0da780f61d46",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "b192e4c8-060d-4fbe-9a22-2f05c0e5e60e",
"metadata": {
"tags": []
},
"source": [
"# SCENARIO 2 - `A` diffuses quickly\n",
"Let's repeat, starting like before, but with a much higher diffusion rate of `A`"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "f679fbd8-e207-4ee7-839f-f9172dd52644",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"# Initial conditioned just like before\n",
"\n",
"bio = BioSim1D(n_bins=30, chem_data=chem_data, reactions=rxns)\n",
"\n",
"bio.membranes().set_membranes(membranes=[ (2, 18) ])\n",
"\n",
"bio.inject_bell_curve(chem_label=\"A\", center=0.2, sd=0.05, max_amplitude=200., bias=0., clip=(2,17))\n",
"bio.set_uniform_concentration(chem_label=\"B\", conc=80.)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "e9932806-66ea-42e9-8aa6-61025cb7c0a5",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"# 15 times faster diffusion rate of 'A', and of its membrane permeability, than before\n",
"\n",
"chem_data.set_diffusion_rate(chem_label=\"A\", diff_rate = 1500) # **** x15 from scenario 1\n",
"\n",
"bio.membranes().change_permeability(\"A\", 750.) # **** x15 from scenario 1 \n",
"bio.membranes().change_permeability(\"B\", 400.) # Same as before\n",
"# `C` keeps the default 0 permeability (i.e., can't cross membranes)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "765ff1ff-4761-4036-8f42-e9ff853b6eca",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"History enabled for bins [0, 6, 29], for ALL chemicals\n"
]
}
],
"source": [
"# Request history-keeping for some bins\n",
"bio.enable_history(bins=[0, 6, 29], frequency=15, take_snapshot=True) "
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "491de94f-abbf-42bf-9f7a-f1db1d725d46",
"metadata": {},
"outputs": [
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visualize the system state so far\n",
"bio.visualize_system(title_prefix=[\"Initial strong, localized transient of chemical `A` (membranes shown in brown)\", \n",
" \"Same as in the earlier scenario.\"])"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "985977cb-d204-4bff-8f19-9c5b618c5411",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "1fdee74e-05b8-4d99-94a9-1e2d8ec0b530",
"metadata": {},
"source": [
"### Repeat the simulation"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "7da13054-4043-4a94-a6e6-5013f5a9ed1e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'steps': 226, 'system time': '0.025111', 'time_step': 0.00011111}\n"
]
},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The first round of reaction-diffusion, over a small time duration\n",
"bio.react_diffuse(total_duration=0.025, fraction_max_step=0.5, show_status=True)\n",
"bio.visualize_system(title_prefix=[\"This time, the localized transient `A` diffuses more substantially across the membrane,\",\n",
" \"before being converted into `C`, which can't cross the membrane\"])"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "18845b1a-b2ce-4c54-b20e-c38daec6b8e4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'steps': 226, 'system time': '0.050222', 'time_step': 0.00011111}\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
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"data": [
{
"hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
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""
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"source": [
"bio.react_diffuse(total_duration=0.025, fraction_max_step=0.5, show_status=True)\n",
"bio.visualize_system()"
]
},
{
"cell_type": "markdown",
"id": "97b79e58-d5bf-4ef3-9bcf-4cecc0ff0f50",
"metadata": {},
"source": [
"### In this scenario, `A` is managing to cross both membranes, to some extent, before getting consumed "
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "015e1333-fe1b-4de8-83e8-0c3abc128789",
"metadata": {},
"outputs": [
{
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"text": [
"{'steps': 226, 'system time': '0.075333', 'time_step': 0.00011111}\n"
]
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.react_diffuse(total_duration=0.025, fraction_max_step=0.5, show_status=True)\n",
"bio.visualize_system()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "1d2bdf86-6677-49fd-8eef-6d3db628dc82",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.react_diffuse(total_duration=0.025, fraction_max_step=0.5, show_status=True)\n",
"bio.visualize_system()"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "b3ff553d-c73b-455d-90bd-c0a8502ae2c7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'steps': 451, 'system time': '0.15055', 'time_step': 0.00011111}\n"
]
},
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ABCDQSgKIdCvDzqAhAAEIQAACEIAABCAAAQhAoC4BRLouOepBAAIQgAAEIAABCEAAAhCAQCsJINKtDDuDhgAEIAABCEAAAhCAAAQgAIG6BBDpuuSoBwEIQAACEIAABCAAAQhAAAKtJIBItzLsDBoCEIAABCAAAQhAAAIQgAAE6hJApOuSox4EIAABCEAAAhCAAAQgAAEItJIAIt3KsDNoCEAAAhCAAAQgAAEIQAACEKhLAJGuS456EIAABCAAAQhAAAIQgAAEINBKAoh0K8POoCEAAQhAAAIQgAAEIAABCECgLgFEui456kEAAhCAAAQgAAEIQAACEIBAKwkg0q0MO4OGAAQgAAEIQAACEIAABCAAgboEEOm65KgHAQhAAAIQgAAEIAABCEAAAq0kgEi3MuwMGgIQgAAEIAABCEAAAhCAAATqEkCk65KjHgQgAAEIQAACEIAABCAAAQi0kgAi3cqwM2gIQAACEIAABCAAAQhAAAIQqEsAka5LjnoQgAAEIAABCEAAAhCAAAQg0EoCiHQrw86gIQABCEAAAhCAAAQgAAEIQKAuAUS6LjnqQQACEIAABCAAAQhAAAIQgEArCSDSrQw7g4YABCAAAQhAAAIQgAAEIACBugQQ6brkqAcBCEAAAhCAAAQgAAEIQAACrSSASLcy7AwaAhCAAAQgAAEIQAACEIAABOoSQKTrkqMeBCAAAQhAAAIQgAAEIAABCLSSACLdyrAzaAhAAAIQgAAEIAABCEAAAhCoSwCRrksuU298508ctDKYJp667gtq89cfUidd+xm14KwlgzkJrfYkMDL7IKXG96nOvp2QgkApgZE5hyi1b7fqjL0JJQiUEhidM1f/OnlDqbHdUNIEtj2zST326ZVq3vEL1WlfXgOThMDofoep8T079H979sIEAuW/T/Y/XI3v+pnSf6BAqWEERg94e8N6HGZ3EWkHcUWkHUAMuAlEOuDgOhwaIu0QZsBNIdLdwUWki5MdkQ74l4DDoY0i0g5pTm9TiPT08i47GyLtIA6ItAOIATeBSAccXIdDQ6Qdwgy4KUQakbZJb0TahhJlEOnm5gAi7UfsEGkHcUCkHUAMuAlEOuDgOhwaIu0QZsBNIdKItE16I9I2lCiDSDc3BxBpP2KHSDuIAyLtAGLATSDSAQfX4dAQaYcwA24KkUakbdIbkbahRBlEurk5gEj7ETtE2kEcEGkHEANuApEOOLgOh4ZIO4QZcFOINCJtk96ItA0lyiDSzc0BRNqP2CHSDuKASDuAGHATiHTAwXU4NETaIcyAm0KkEWmb9EakbShRBpFubg4g0n7EDpF2EAdE2gHEgJtApAMOrsOhIdIOYQbcFCKNSNukNyJtQ4kyiHRzc2AYIv2+j16krrn8AnXessXNBad7ftNt96oHH3lSbbjvlimPA5GeMkL9mEaeI+2AYrhNINLhxtblyBBplzTDbQuRRqRtshuRtqFEmUGI9JjGOtbpKPNdnlAdvVf6WMd8H4l/jr6kfFLG1JtUXn8+0t3umNJtSPkR065pJ/m5qHxyzvH0fEl/ouNJe2n/M31Myu+T7yXnHJ/mdPrWO97v/IwrV92qHt6wsavdMxadoNasvjQ6NiyRvuf+R9X1N9+l1t99gzp6/hFTHjciPWWEbhtApN3yDK01RDq0iA5mPIj0YLiG1ioijUjb5DQibUNpOGXe1CK2V3/t0fK2V4tZ9KVlcE90XE/OyPdUAmO5GzcSGh03MpqRvy5pnJDWfV2CmBVMfR75bHS2Ghvfq7/Gc6KaaSMS1UQqu0TXiG1H7dZ94jW9BFyLtEjyYXMPnjRLu3zFavVv//U56tQTFw5NpF2TRaRdE51ie4j0FAEGXh2RDjzAjoaHSDsCGXgziDQibZPiiPRkSiKwe7Tw7dYKKdIav4+/i9TK972dcS2FyTH9fbduJpLeRG5j2dVf+vi+pFz8c3zMfJbWyRyTum167TcyomboAc/Qkj9Di/iM6OeOminf5ZieAY6/OslnUjb52XwWlVNqtFd5jVXam6Xr6OqF54zbTdpPykfnTts19TJ9lvJpP3Qfc+Vnmvb099ly4ml+uVzaLTPR39/0g75Lnc2M9O13PqBe3b4jGvFFy5eoKy85t2v0It/PvbA5PZadSZbPjjryUPXSyz9Nyxx7zAK1bu0qteicy9J2szPhTzy9Sa246ouTZqSlP9mXOU+2HfP584/fkRZFpKc5WfudDpHuR6jdnyPS7Y6/7egRaVtS7S6HSHfHf9szm9Rjn16p5h2/UJ325TXtTo7M6H0VaZHUSFSNwEbvtchqge0S20yZWHyljCmr29Brc6VeLL4TIhyLcfKVnEME2qfXHJG+kVE1W3dqlv4SsRQRk/ez5HsvmcwIaW85nCywUj6Sv0QOR/VM86zZB6uRfW9o0R2PRFM+H80KcKb8DF1+ZpdMdkvwMGTSp7hOd19cirQIaZEQ58dkxNUIqxHctTdeEc1Yy8uIslkObpZlG5E1km3qvLhlq1p6/tVRXdOuOWbK5EXafJ7ts5xHXnL/toh09v5nOae8RNblhUhPd7b2OR8i7VlAPOsOIu1ZQDztDiLtaWA86xYi3R0QRLo4QfuJ9BupbOpZ2UhKE5HNyGosrkZM87Kq64n8JsuTYzlOZDcS26S9qO2OkvMN+zVbC+ycRGDnJPIqMhu/17OKalRLrHyPf46OR+9FbuPj8t3IrtQVsYx+1u+ljghyLMTyc/I++nlEyQytb69B3CPt2xhD7Y8rkc5Lay9eRfdIi7RefOHZkcCK8H7u81+ZNLOdLZMXbTmffH7m6ad0zWzn283OSIsIb3z2hVSM+8U4L/OIdD9i0/w5Ij3NwBt2OkS6YQEbUncR6SGBb9hpEekwRFo2JjIzp+ny4mgpcXZZsbmXNiuoyWxsIrnRbGyXxIrc6mMjM9Se8bFYdhOxNUuWh6m0IqXRVySeRmBHEpmNj4vAinimkpvIbCy7pmwsvtExU1av/51oO57xlZ9lBliEl9dkAoh0c7PCJ5E2EiyCese6hwqhmtnjKiJt2s3PSBe1kT9pftm3fG5mxRFpz/IekfYsIJ51B5H2LCCedgeR9jQwnnULkXYn0iKU5l5WuRe2+75ZI6Dm3tn4fllZgtwtu92zsLJZlLSTv882Wrqs68fH452Kh/WSJbxGYudEkhpL58TMrJZPLaXxLOyErM4pqZcV4lhss+3ptpJ6Isfo7LCiXnxeRNqveFTpjSuRlnPa7sZdNiOdFel+j5UatEgb6c4v+5ZdvxHpKhk2jWUR6WmE3cBTIdINDNoQuoxIDwF6A0+JSJeL9CJ9j/TP9CzsDi2qPx8bVzv0suKfa4HdoXck3pF8/7l+b469pj8f1uysCKWRzlhmzVLiiRnWaGmwHM/MyE68z8zMJjOyIqrm8/3mHKJm6XtfZ3fG4rbTNka0GvOCQEwAkW5uJrgUaZHbl1/ZXrjZmIipvMp27c4uyy7bFCxL2YVIy+ZoslmZuec5237RbDNLuz3Pc0Ta8wANuXuI9JAD0JDTI9INCdSQu9kmkZZNooz4vq7f/0wkWAvya1qKt2sJfk3/3Pnr59XCf3et2nbse9XXbry2VnQOTO+F1cIpy4NzS4a7Z1xjgTXya+6njZcUx0uS43trJ5YVm/bMfblyvkG/+t0jPejz034zCCDSzYhTUS9dirS5Tzr/+CuzVNts+tVvRlr6KWItr+xmX9LOL7z98Og+ahcibfp7zeUXRG3Ky2w2Ju+zs8+mT7LLODPSnuY7Iu1pYDzpFiLtSSA87wYi7XmAPOmebyItsrsruUdXNq2SHZbNsuZdyUZV8U7N8bJmWRYtz8EteskjhDbu2RPJs8wq2zwu6Ijn/ladfdV16idapB/UIn3I6Gj6dZAWVvn5bfrLvD9Ez/IelJSZq7+H+kKkQ42s23Eh0m55TmdrLkXa9Dv/2Co5nn10lY1IS52idrK7dsvjr8yu3kZ0izYbK7tHWupkd/s2/Td9lRnrhzdsTMMhy7zl3m1EejoztMK5EOkKsFpYFJFuYdBrDBmRrgGthVX6ibTIZyy2sbym7yPJnbhHV4Q2ldvknt748/geYLnXd1ey47IIsEix2dhKfp6uXZgPH52hDtazxCLAB8/QX4kcH6wl+GC5F1fPSG/+navU3OMWqjP+gMdfmX8SiHQLfznUGDIiXQOaJ1UGIdKeDK1R3Rjp6FejeuxhZxFpD4PiUZcQaY+C4XFXEGmPg+Oga+b5ubGQxrIbf9fyKgKrpVU+M8eNvEY/J5/J7su7ZDfmzj61Sy9xNptexW3Gm2NN90vuv5XH+sxJlkPLkuf9kt2TZZMp+WxWstOy7J4cLYtOlkanP8v9u1qMpfyBuq4IsswkH2CxBJrHXxVHHJGe7n8JzTwfIt3MuEmvEWk/YodIO4gDIu0AYsBNINIBB9fh0BBphzArNiWzq11yK2KayGs0a2t+TpYmT0jwxCyvmb2Vpc5SXn6OvifLmit2aUrF5R7cVFgjaY3v191PhDbZjTkS3uS+3kiEo3uD40cFmY2ppI2oTHIsbjP+3NzvO6WOOqiMSCPSDtKotU0g0s0NPSLtR+wQaQdxQKQdQAy4CUQ64OA6HBoiPRmmWaZshLRoFjeV1YzsmmXI0bLmdFlyt9zKZ9O1PNmM7C3JrGs8gxvP3Jr3Rnzjn5XaP5rV1TO6ibTK99n62IGzD1Yzx3apOZ290SywCLCUl/r7W8zgOkxZL5pCpBFpLxKxoZ1ApBsaON1tRNqP2CHSDuKASDuAGHATiHTAwXU4tCaJ9Lged/fy5HhmNjtTawS2a2ZWyiQztelSZzMbnLmn17Q9HSuVZf/kSF6T2VeZcU3lNTuzm4ivWa5sZncjwU3rGjHOt+nukUP97pF2mJKNaAqRRqQbkaiedhKR9jQwFt1CpC0gTUMRRNoBZETaAcSAm0CkAw6uw6G5EmnZ+bhQXpOZ2XSWN7OBVHd5qR8vZ87enxttXJXM+so5puMV3Vsrs7bJkuNUXtN7bDMCbIRYb8Scn8U19fcvmBGWczTphUh3RwuRRqSb9O/Xt74i0r5FxL4/iLQ9q0GWRKQd0EWkHUAMuAlEOuDgVhiaqGc6i6vfi7x2bS418wC1e98efXx31/25Rl7N7sv5+3O7ZbejHz40+Jeop7lfNjszG83qmpnbzPJlM4trljObe2x7zQLLLHG4DyeqHyNEGpG2yR42G7OhRBlEurk5gEj7ETtE2kEcEGkHEANuApH2N7jmHtq9uov79NcevfOxPPZHft6b7IJsnoWbCmw045ssYxYhNo8Oym5EldmoSuq/rp+LO50vs9lUumQ5M7Ob3nebuT9XypmvSHL1Z/vrDkebTGWXLae7LzdrFnc62Q/6XIg0Im2TY4i0DSXKINLNzQFE2o/YIdIO4oBIO4AYcBOItFI7tWTu01+xoMr3+Dm1Iq/Rz/Kl3SwqI8cjmdVSK4KbHItlN948Km5nQnbjcnH5Pdk2IzlO2pfy+hwiy8N4TJCkuHlUUDprm+ycHM3UzpytN40a15tI6a8CeY0eKaTbyG5UZXZeNsIsAs0rbAKINCJtk+GItA0lyiDSzc0BRNqP2CHSSRzuuf9Rdf3Nd0U/HTb3YLXhvlvSCK1cdat6eMPG6Odjj1mg1q1d1RU9RNqPZPa1F9Mh0iKq8UxqPKMqwpmdWY3EVDtWLK2xnEZlUiGN5TYW2Pi4lBEJjevG3+VLRHRMC5sR1HgmNyPKSV15DJDvL9kkapbu5Kzke/Rz5pj8nF2WHN2va5YsZzeo0m1ES53T+3knHjWU3t/bR3Jd3SPtO3P6NzUCiDQibZNBiLQNJcog0s3NAUTaj9gh0joON912r7pj3UPq+cfvmBQVEezb73wgFevlK1arE447Rl15yblpWUTaj2QeVC8mZkAT+YxmQo1wJgJplgMnMhrPviYyO3M/tW98TO0d252KqsyaRoKaLCXep0U1nYlNZlZTQY1kN4btIPUAACAASURBVJ5VjY4loipLipvykp2QZ42Mqlm6yzP1exFU+S4bPclXfEx/Jj/LZ3JMDy46ZuRW1+2qFx2Pj8XtJj8nbchnpv3ovZRNPvPxMUGIdFOyebj9RKQRaZsMRKRtKFEGkW5uDrRJpBedc5l6dfuOQk8bdgQRaR2B9330IrX+7hvU0fOPmBSPvDjnxVoqtFmkRTLl7s8x4RC9H9Hv5XtHfx9JjunP5GctO1JW3ptyY0kdqSttiChKfZFMU0dmTqPjyVJgqTOWLAOOj8Xl5Zh8Fr1Pj5m2kvryuS4n55PlvfHsa1xmYvY1FlzZpbgpL5klNTOpIqDR+0hIE9HU3+Pjo7HAiqB2YvE0x2TZcCyysYBGYhrVmfjZyG9U1tSVMqZeRoalrkguLzsCiLQdp7aXQqS7M4Bdu4v/RSDSbf9NYTd+RNqOk4+l2iLSTzy9SX3pD++LQrBs6anqvGWLvQpH60VaAvS5z38lutJhXmcsOkGtWX1p9KNcBbn4wrPTwEn5FVd9Mb0q8uyu19WeXT9NBVHkMZbDjpIJw0gyE3ETeYzlMBHJRELHEwGMJNPUEdmU91JX2khEM/48U1/PZI5rIdJnS2U2llqp21G/+IX/og5/6Fvq7z7zO2rrr34sOXf8edSvrOB2iXDuPMkzXr3K3mnsjMxgpmIZSWT87FgjrfJ+huY3OxHVSDJ1XOT7nBlzdLmOFtd9E7OvRlQjSY0F1syoRhKczNxGs7iJzE5Irj6m6x2ApE5jBgz+VIj04BmHcAZEGpG2yWNE2oYSZRDp5uZAW0RaVg2b18ZnX5h0e+2wI9h6kTb3RmeXdcsM9UXLl0TLt+X9NZdfMEmkzQz2x370V8OOYc/zf2TNWnXMIxvUhpUr1P8+fdFA+hpJpBZBeVTNqH4v32do0Zt8TD6bKCfiKT/PiOrHdUUW5WcRUDkWvTfHkuW7pryIp5zDnCv6OWlLBHeiLVMuFl8pH83CRsuK49nbWJKTWd3k5wN0GRevkRn6LHqGu6OXd/OCQBmBkRl6nl/nSKdDnpAl5QQkTzrjeo2O/p3CS6lt339GPfrJf6PmfeB4tfiP/wAkCYERfQG3M653uyBPyIkeBEb0rWcdfdtZNPPDq1EERmbKszUcvx580HGDls2deWZpQZnQvOtLn40+X3r+1aUriC3P5LwYIp27B1oIy+Zi8pJZ6X4z0iu3/r0a1TONRhAjIdRfInTRsUQIuyUzkUn9e0vkMRZGqRe/V0YspS1zPJrxjNvOHot+To5lxTUqq+u+cv0X1I4HH1Lzr7lKzT3rVyf6FdWR83XiY3r2dKKduC8T50nOkTz6xnkWht7gDP3LTv6Y0c8H5gWBUgL6OdJKBGlc7oLnBYFiAiMz36J/nejfJSJJvLRI/5V69F//jhbp96vFf/hfIJIQGJn1VtXZt1P/t4cLcyRFOYEoT/bqPInWNPJqEoGR2Ye47+6wVjqWXMgxy7rNJs9yu61vy7tbL9L5pdqSlVmR5h5p9/9O29bidOza3TamIY6Xpd0hRtX9mFja3c2Ue6SLc4yl3e7/7YXYIku7mxvVgSztPvvs4QB54IHC84qPnXj8L6ergmUV8f3rn/BqeXfrRVoiJ7POZ55+SrSU+8UtW6OlA2tvvEKdeuJCxa7dw/k3FdJZEemQojm4sSDSg2MbUsuINCJtk8+ItA0lyiDSzc2BgYi0Zzjk9tqiV9kG0cPoPiKdUM8GK3tPtHzMc6SHkZrhnBORDieWgxwJIj1IuuG0jUgj0jbZjEjbUKIMIt3cHAhdpM1m0Bvuu6UrSEWPIR5mFBFpB/Tb/PgrB/iCbwKRDj7ETgaISDvBGHwjiDQibZPkiLQNJcog0s3NgdBFWoT5qCMPTZ+iZCJV9BjiYUYRkXZAH5F2ADHgJhDpgIPrcGiItEOYATeFSCPSNumNSNtQogwi3dwcCF2kmxIZRNpBpBBpBxADbgKRDji4DoeGSDuEGXBTiDQibZPeiLQNJcog0s3NAUTaj9gh0g7igEg7gBhwE4h0wMF1ODRE2iHMgJtCpBFpm/RGpG0oUQaRbm4OINJ+xA6RdhAHRNoBxICbQKQDDq7DoSHSDmEG3BQijUjbpDcibUOJMoh0c3MAkfYjdoi0gzgg0g4gBtwEIh1wcB0ODZF2CDPgphBpRNomvRFpG0qUQaSbmwOItB+xQ6QdxAGRdgAx4CYQ6YCD63BoiLRDmAE3hUgj0jbpjUjbUKIMIt3cHECk/YiddyK96JzL1KvbdxTSef7xO/yglusFIu1lWLzpFCLtTSi87ggi7XV4vOkcIo1I2yQjIm1DiTKIdHNzAJH2I3ZeiXTZM8P8QFXeC0Ta9wgNt3+I9HD5N+XsiHRTIjXcfiLSiLRNBiLSNpQog0g3NwcQaT9i55VIv++jF6m1N16hTj1xoR90LHuBSFuCamkxRLqlga84bES6IrCWFkekEWmb1EekbShRBpFubg4g0n7EDpF2EAdE2gHEgJtApAMOrsOhIdIOYQbcFCKNSNukNyJtQ4kyiHRzcwCR9iN2Xom0LO1etvRUdd6yxX7QsewFIm0JqqXFEOmWBr7isBHpisBaWhyRRqRtUh+RtqFEGUS6uTnQBpEu2jfLt5XLXon0E09vUp/7/FfUhvtuaVRmI9KNCte0dxaRnnbkjTwhIt3IsE17pxFpRNom6RBpG0qUQaSbmwNtEekzTz9FXXnJuVGgbrrtXvXgI0965YleibTcI93rxa7d1f/BP3XdF9Tmrz+kTrr2M2rBWUuqN0CNKRNApKeMsBUNINKtCPOUB4lII9I2SYRI21CiDCLd3Bxoo0jLhOuKq76ofPJBr0S6qenMjHRTIzc9/Uakp4dz08+CSDc9gtPTf0QakbbJNETahhJlEOnm5sAgRPrJN18bCpBT9j+o8LyytDs7I71y1a1RuTWrLx1KP4tOikg7CAUi7QBiwE0g0gEH1+HQEGmHMANuCpFGpG3SG5G2oUQZRLq5OTAIkf7Yj/5qKEC+9Y73l4r0q9t3dH12xqITEOleUTLT9tkyvt1Ynu8/Ij2Uf3eNOSki3ZhQDbWjiPRQ8Tfm5Ig0Im2TrIi0DSXKINLNzYFBiPRnt20eCpDfn7egVKSzM9JSSDamPurIQ72Raa9mpO+5/1F1/c13qfV336COnn9EBPXFLVvV0vOvVtdcfoG3u3kj0kP5d9eYkyLSjQnVUDuKSA8Vf2NOjkgj0jbJikjbUKIMIt3cHBiESPtGI7+0W/onG45tfPYFtW7tKi+665VIC7CLLzx7kjCLYN9+5wNe7dKWjR4i7UUue9sJRNrb0HjVMUTaq3B42xlEGpG2SU5E2oYSZRDp5uZAW0W6SK6HGUWvRFp27S5axu3jLm2I9DDTtlnnRqSbFa9h9RaRHhb5Zp0XkUakbTIWkbahRBlEurk50BaR5h7pCjnKjHQFWJZFefyVJagBFkOkBwg3oKYR6YCCOcChINKItE16IdI2lCiDSDc3B9og0k2Ijlcz0twj7T5lEGn3TKu2iEhXJdbO8oh0O+NeddSINCJtkzOItA0lyiDSzc0BRNqP2Hkl0oKEXbvdJgYi7ZZnndYQ6TrU2lcHkW5fzOuMGJFGpG3yBpG2oUQZRLq5OYBI+xE770TaDyzVesFmY9V4ta00It22iNcbLyJdj1vbaiHSiLRNziPSNpQog0g3NwcQaT9ih0g7iAMi7QBiwE0g0gEH1+HQEGmHMANuCpFGpG3SG5G2oUQZRLq5OYBI+xE7RNpBHBBpBxADbgKRDji4DoeGSDuEGXBTiDQibZPeiLQNJcog0s3NAUTaj9h5IdLy2KtrLr9AXX/zXT2pPP/4HX5Qy/UCkfYyLN50CpH2JhRedwSR9jo83nQOkUakbZIRkbahRBlEurk5gEj7ETsvRNqgKHuOtOzmffudD6gN993iBzVE2ss4+NopRNrXyPjVL0Tar3j42htEGpG2yU1E2oYSZRDp5uYAIu1H7Boh0mYnb2akqycNu3ZXZ+a6BiLtmmiY7SHSYcbV9agQaUTaJqcQaRtKlEGkm5sDiLQfsWuESN90273qwUeeZEa6Rs4g0jWgOa6CSDsGGmhziHSggXU8LEQakbZJKUTahhJlEOnm5gAi7Ufshi7SRc+NLkKz9sYr1KknLvSDWq4X3CPtZVi86RQi7U0ovO4IIu11eLzpHCKNSNskIyJtQ4kyiHRzc6AtIv3ilq1q6flXdwVK9tU6b9liL4I3dJHOUii7R9oLUj06gUj7HqHh9g+RHi7/ppwdkW5KpIbbT0QakbbJQETahhJlEOnm5kAbRFr2yJKNqPOTqYvOucybVcpeiXRT0xmRbmrkpqffiPT0cG76WRDppkdwevqPSCPSNpmGSNtQogwi3dwcaINIizCfefop6spLzvU2UIi0g9Ag0g4gBtwEIh1wcB0ODZF2CDPgphBpRNomvRFpG0qUQaSbmwODEOkH//eDQwFy5v9x5qTzmiXd6+++QR09/4ih9MvmpF6JdNE6+Owg2LXbJqTdZdhsrDoz1zUQaddEw2wPkQ4zrq5HhUgj0jY5hUjbUKIMIt3cHBiESI+sHhkKkM6qDiLtgryZwj/lg+9Tn/v8V9L178tXrFbLlp7qzY3l+bEyI+0i+uG2gUiHG1uXI0OkXdIMty1EGpG2yW5E2oYSZRDp5ubAIET67HvOHgqQB857AJF2Qd5sNnb0/Hnqgn/7+6lIy87eWbF2cS6XbSDSLmmG1xYiHV5MBzEiRHoQVMNrE5FGpG2yGpG2oUQZRLq5OTAIkfaNBvdIV4xIdtdueW+WcptHZLG0uyJQXZyl3dWZua6BSLsmGmZ7iHSYcXU9KkQakbbJKUTahhJlEOnm5kAbRJpduyvmpyzhPuG4Y6Ld2bLvb7rtXvXgI096s9V5fljMSFcMdMuKI9ItC3jN4SLSNcG1rBoijUjbpDwibUOJMoh0c3OgDSIt0TGTqdlI5R+HNcwoerXZWB6EzEqbl8+7tiHSw0xh/8+NSPsfIx96iEj7EAX/+4BII9I2WYpI21CiDCLd3Bxoi0j7HiGvRdp3eKZ/iHRTIjWcfiLSw+HetLMi0k2L2HD6i0gj0jaZh0jbUKIMIt3cHECk/YidVyKdvUfaDzx2vUCk7Ti1tRQi3dbIVxs3Il2NV1tLI9KItE3uI9I2lCiDSDc3BxBpP2KHSDuIAyLtAGLATSDSAQfX4dAQaYcwA24KkUakbdIbkbahRBlEurk5gEj7ETuvRNr350WXhQyR9iOZfe0FIu1rZPzqFyLtVzx87Q0ijUjb5CYibUOJMoh0c3MAkfYjdl6J9ItbtnY9P3oYiOSZZUcePletW7sqPf3KVbeqhzdsjH4+9pgFXZ/JMUR6GJFqzjkR6ebEapg9RaSHSb8550akEWmbbEWkbShRBpFubg4g0n7EziuRzu7SXYRn0M+RFomWV1ak5Rlmt9/5QProrexjuUwfEWk/ktnXXiDSvkbGr34h0n7Fw9feINKItE1uItI2lCiDSDc3BxBpP2LnlUgPE4lZVv7jn7yiNj77QjrrnBfnvFgzIz3MqDXj3Ih0M+I07F4i0sOOQDPOj0gj0jaZikjbUKIMIt3cHECk/YidVyJdtmt3kby6xJeV5Ztuu7dLpGWW+uILz1bnLVscndI8GDw7Oz6+82WX3XHa1lPX3aQ2f/0hddK1V6oFZy1x2jaNCYGRvhhGZr9Fr/8fU519b/YtS4H2EhiZc5BS+/aoztiu9kJg5H0JjM45RI3v26nU2J6+ZdtQYNszf60e+/Tlat7x/1Sd9uWb2zBkqzGO7jdXje95Tf+3Z59VeQq1k8Do/oeq8V0/V/o/PO0EMNRRd6Z09tEDjpxSfSq7IdAIkS6SVzfDV0ruf5bXmtWXRt/zIi1yf83lF0wS6fV336COnn9EVKfTGXfVHeftPPUf/oP64Z/fr0763d9V7/r1Zc7bp0GbX4SjkiXJF8QgUEaAPCE3+hMYUaP6twm/Twypbd/7nnr0tz+p5n3wg2rxn/xxf4AtKUGetCTQUxwmeTJFgFOq3n8iplfzIyPyNwOvYRNohEiL3D74yJPpfcouocmM86vbd0xq8rC5B0fns5uR/onLLjlt66nrvpDMSH+GGWmnZO0bY2m3Pas2l2Rpd5ujbz92lnZ3s9r2zCY9I71Sz0gv1DPSa+xBBl6Spd2BB9jR8Fja7QjkEJphafcQoBeccugibWab++FYe+MV6tQTF/YrNuXP8zPS3CM9ZaStbwCRbn0KWAFApK0wtb4QIo1I2/wjQKRtKFEGkW5uDiDSfsRu6CKdxVB2j/R0osqLNLt2Tyf9MM+FSIcZV9ejQqRdEw2zPUQakbbJbETahhJlEOnm5gAi7UfsvBJpH5DkRVr6xHOkfYhMc/uASDc3dtPZc0R6Omk391yINCJtk72ItA0lyiDSzc0BRNqP2CHSDuLAc6QdQAy4CUQ64OA6HBoi7RBmwE0h0oi0TXoj0jaUKININzcHEGk/YuedSJdt/iW4so+c8gNf3AtE2qdo+NcXRNq/mPjYI0Tax6j41ydEGpG2yUpE2oYSZRDp5uYAIu1H7LwSadnY66gjD00fReUHov69QKT7M2pzCUS6zdG3Hzsibc+qzSURaUTaJv8RaRtKlEGkm5sDiLQfsfNKpH3YbKxOWBDpOtTaUweRbk+spzJSRHoq9NpTF5FGpG2yHZG2oUQZRLq5OYBI+xE7RNpBHBBpBxADbgKRDji4DoeGSDuEGXBTiDQibZPeiLQNJcog0s3NAUTaj9h5JdKytHvZ0lPVecsW+0HHsheItCWolhZDpFsa+IrDRqQrAmtpcUQakbZJfUTahhJlEOnm5gAi7UfsvBLpJ57epD73+a+oDffd4gcdy14g0pagWloMkW5p4CsOG5GuCKylxRFpRNom9RFpG0qUQaSbmwOItB+x80qk5R7pXi927a6eNE9d9wW1+esPqZOu/YxacNaS6g1QY8oEEOkpI2xFA4h0K8I85UEi0oi0TRIh0jaUKININzcHEGk/YueVSPuBpHovmJGuzqxNNRDpNkW7/lgR6frs2lQTkUakbfIdkbahRBlEurk5gEj7ETtE2kEcEGkHEANuApEOOLgOh4ZIO4QZcFOINCJtk96ItA0lyiDSzc0BRNqP2Hkn0rLh2HMvbI7orL3xCnXqiQuVLPk+Y9EJ3j5fGpH2I5l97QUi7Wtk/OoXIu1XPHztDSKNSNvkJiJtQ4kyiHRzcwCR9iN2Xom0SPRRRx4aCfOicy5Tv/fvPxWJ9D33P6puv/MBbzchQ6T9SGZfe4FI+xoZv/qFSPsVD197g0gj0ja5iUjbUKIMIt3cHECk/YidVyItM8/r775BHT3/iC6Rlt28V1z1RcVmY9WThs3GqjNzXQORdk00zPYQ6TDj6npUiDQibZNTiLQNJcog0s3NAUTaj9h5JdIyC33Xlz47SaSZka6fLIh0fXauaiLSrkiG3Q4iHXZ8XY0OkUakbXIJkbahRBlEurk5gEj7ETuvRPqm2+5VDz7yZLSE2yztPnr+PLX0/KvVRcuXqCsvOdcParlesLTby7B40ylE2ptQeN0RRNrr8HjTOUQakbZJRkTahhJlEOnm5gAi7UfsvBJpQWKWcWfxXHP5Beq8ZYv9IFbQC0Ta29B40TFE2osweN8JRNr7EHnRQUQakbZJRETahhJlEOnm5gAi7UfsvBNpP7BU6wUiXY1X20oj0m2LeL3xItL1uLWtFiKNSNvkPCJtQ4kyiHRzcwCR9iN2Xon0ylW3qoc3bJy0qRiPv6qfLNwjXZ+dq5qItCuSYbeDSIcdX1ejQ6QRaZtcQqRtKFEGkW5uDiDSfsTOK5GW+6IvvvDsScu42WysfrIg0vXZuaqJSLsiGXY7iHTY8XU1OkQakbbJJUTahhJlEOnm5gAi7UfsvBJpmXlee+MV0bOjsy8ef1U/WRDp+uxc1USkXZEMux1EOuz4uhodIo1I2+QSIm1DiTKIdHNzAJH2I3ZeiTQz0u6TApF2z7Rqi4h0VWLtLI9ItzPuVUeNSCPSNjmDSNtQogwi3dwcQKT9iJ1XIi1LuK+/+S61/u4bomdJy+vFLVujx1/5vHM3m435kcy+9gKR9jUyfvULkfYrHr72BpFGpG1yE5G2oUQZRLq5OYBI+xE7r0RakBQ9/qpoubcf+OJeINI+RcO/viDS/sXExx4h0j5Gxb8+IdKItE1WItI2lCiDSDc3BxBpP2LnnUj7gaVaLxDparzaVhqRblvE640Xka7HrW21EGlE2ibnEWkbSpRBpJubA4i0H7FDpB3EAZF2ADHgJhDpgIPrcGiItEOYATeFSCPSNumNSNtQogwi3dwcQKT9iJ13Ii0bjr26fUchnecfv8MParleINJehsWbTiHS3oTC644g0l6Hx5vOIdKItE0yItI2lCiDSDc3BxBpP2LnlUgvX7FaHXXkoWrN6kv9oGPZC0TaElRLiyHSLQ18xWEj0hWBtbQ4Io1I26Q+Im1DiTKIdHNzAJH2I3ZeiXTZc6T9QFXeC0Ta9wgNt3+I9HD5N+XsiHRTIjXcfiLSiLRNBiLSNpQog0g3NwcQaT9ih0g7iAMi7QBiwE0g0gEH1+HQEGmHMANuCpFGpG3SG5G2oUQZRLq5OYBI+xE7r0RalnYvW3qqOm/ZYj/oWPYCkbYE1dJiiHRLA19x2Ih0RWAtLY5II9I2qY9I21CiDCLd3BxApP2InVciLc+Q/tznv6I23HeLH3Qse4FIW4JqaTFEuqWBrzhsRLoisJYWR6QRaZvUR6RtKFEGkW5uDiDSfsTOK5GWe6R7vdi1u3rSPHXdF9Tmrz+kTrr2M2rBWUuqN0CNKRNApKeMsBUNINKtCPOUB4lII9I2SYRI21CiDCLd3BxApP2InVci7QeS6r1gRro6szbVQKTbFO36Y0Wk67NrU01EGpG2yXdE2oYSZRDp5uYAIu1H7BBpB3FApB1ADLgJRDrg4DocGiLtEGbATSHSiLRNeiPSNpQog0g3NwcQaT9i551Iy33SK676YhedtTdeoU49caEfxAp6gUh7GxovOoZIexEG7zuBSHsfIi86iEgj0jaJiEjbUKIMIt3cHECk/YidVyJ9z/2Pqutvvkutv/sGdfT8IyJCL27Zqpaef7W65vILvNzN+6N3fFSp8T3TEs3RkVF10ts/oH51wcfUR37xZKtzco+0FaaBFkKkB4o3mMYR6WBCOdCBINKItE2CIdI2lCiDSDc3BxBpP2LnlUgvOucydfGFZ08SZhHs2+98wMvdvEdWjwwlkgfNeas6/R0fUR9/92L1a+86XR1+wKGF/UCkhxKerpMi0sOPQRN6gEg3IUrD7yMijUjbZCEibUOJMoh0c3MAkfYjdl6JtOzaXbSM2yz39nHX7sf/4XE1vuun0xLNHXv+Uf2Pzd9Sf/H331Q//seXus55wpHvV0vftVgt0bPVJx/1wfQzRHpaQtPzJIj08GPQhB4g0k2I0vD7iEgj0jZZiEjbUKIMIt3cHECk/YidVyLdxBlpCeMw7pF+/tUX1PrNj6r1P3xM/eWPv6v2ju9NM+qwA+ZGy78/vmCxmn/v82rLN77F46+G+O8NkR4i/AadGpFuULCG2FVEGpG2ST9E2oYSZRDp5uYAIu1H7LwS6SbeIz0skc6mz+t73lD/Q8+MP6Sl+iE9Y/3S6y+nH3/6u0epRZsPUdt+65+qU3/rk+oDR/i7aZsf/yTc9wKRds80xBYR6RCj6n5MiDQibZNViLQNJcog0s3NAUTaj9h5JdKChF27p54Yz257LpqpXv/DR9Wx97+kPrL5YLX2Q1vUtxfsUEceOE8v/z5NLwM/TZ3xzkVK7rXmNVgCiPRg+YbSOiIdSiQHOw5EGpG2yTBE2oYSZRDp5uYAIu1H7LwTaT+wVOvFMJZ22/bwf676vWhp919/4u3qj972rHpl58T93DNHZ6oPz/9QJNVL9TLwYw9/r22zlKtAAJGuAKvFRRHpFge/wtARaUTaJl0QaRtKlEGkm5sDiLQfsfNKpFeuulU9vGGjym8qJpuQnbHoBLVm9aV+UMv1wmeRzm429s6zflV99yfPprPVG1/+K9XR/zOvX3zrUdGGZSLWi9/xz9WBsw7wknfTOoVINy1iw+kvIj0c7k07KyKNSNvkLCJtQ4kyiHRzcwCR9iN2Xon0sDYbk/O+un1HGpH8zuFG8KXAsccsUOvWruqKXlNEesFZS7r6/erO7dGGZX+hl4A/8g8b1M93TTCQgr997HL1joN+wYtMHdFPGZPnaJuvETWi3+sv+V/muBwbkeNdx6RMfCyql9ZJjiVlJ+rl6uvy8pCz0ja7zpfUTc4h55sx+636p44aGdvdPYbsmPJ9isaXHduI2m/mfl7Egk4MhgAiPRiuobWKSCPSNjmNSNtQogwi3dwcQKT9iJ1XIj2Mx1+9uGWrWvPlr6az3WbDMzMrnn+G9fIVq9UJxx2jrrzk3DSCTRXpfAo+8eOno/uq5RFbz+j7rHk1i4CIdl/h77rwMCHr8YWJiQsOqcTLRYToQkHxxYnoQsHoDDVrZKaaNWOWminvR2fpY/Kz/hpJjunPZuljcjuBfJcyUVlTR5eT8t2fJz9n2p2t60nfZozqr5EZUfnovfxPtxcfm3hvyqXH9edxuVHvLkwg0s369zas3iLSiLRN7iHSNpQog0g3NwcQaT9i55VID2tGOhsKEeul51+t1t99gzp6/hEqL855sZa6oYh0lsNP3tiqXvjp36uxzpga73TUuPyvM/HVkWPRV3ysk34mi8WT42md+Oe4TradTH2pE5XPl5F6mnFXvaRc0n56vqhMd/18P8044jr6/xe0O6mfZjwyhvR9UT8TJnlWWtrGx4WjfJnx55jkWEW8MufatW+XH78xAu/FAbP2j+U8Eu4JQY/kPCPhqbSnx2JBl4sEqegXJ0TBMgAAIABJREFUyP1opt30IkDSxsyZ++saKv6KLhbEFyVkNYZtn2bqCxpSdzTX37R+0m7hBQd95nyfTD9Mu2bcwmZ/3V9e008AkUakbbIOkbahRBlEurk5gEj7ETuvRNqHx1+ZXcPNjHRe7vOfhyrSfqRnGL2YjnukRbTNRYTuCwuZiwta1icuEuQuOBRdIDAXKsouZCSyL23uHt+j9o7tVfv0BQN5pvm+sX1qX2effq+/ouPx++iY/iwqI2X1Z3v1sejz7HH9uZQfS45Hn3fiOvJ+bHw8/q4vTsh7/f/1d/2l+xR/Hr+Pvuv/Sb34WPz9TS5MDOQfl1yIyF9wmCzh8YqAvnIv0p9ddaDfxxcIdF25YJC8z8p9V5vmAkX+IohpM3NRwbSVbddcjOha4ZDtd7IqoqjupNUR0UWVeDzymbRZ90IEIo1I2/zjRaRtKFEGkW5uDiDSfsTOK5EWJMN+/JWI85mnn5Iu3Zbl5tdcfoE6b9niKGKmf2bGWo519r7uRzQLevHUquvVD7/2dXXS6mvUuz5xlrf9DLljIzPm6CTREqvlkJe/BN7c92ZGwhNB1+I9IeYTsi5CPiHyRtCzcj8h7ZHEi8Cbr+TnvNyPa0nbN7Yn+kovAkR1zIWBPn0yFxm6ztWnT5mLC3KRo+u8aT9zFyZ0+zv37vQ3kA3umcj1xIWB5DaF3KqHGfoiQrxCYkLM8xccJkQ+d8EhWSXRtcIhlXuzEsOsvpi42BHtLJFceMjeAiLnNbeByDmz+zpEKyOSr/Qz005Ub+J2kWzdBQe/Q73rbQuso7jt+8+qR//PFWreB45Ti/9orXW90AuOzDxAdfS+HPr/hT5UxjcFAiN6U9mOXFjWf6PwahaBkVlvaVaHA+2tdyI9TM4i0R9Y+Etdu4PbzEh39v7jMLvd89yxSD+YiPSZ3vYz6I4lIq0Q6aDDPOXBzdCbyenZdP1XzZSbGkYDciEiO+tvpLz7gkO8SiCW9uwqgQnhlxUOsmIhKpcRfXMhYtKxkgsT5mKH3CaRPdekFQtJP+J+TqxiiM+fWfWQlJP2TP8mjTG9WBKfs/sizMQxLkSUZ+jb9nubeuqix9R75r7bKo1jkb44Eenbreq0oVAs0ghSG2I9lTGOzDxQ/yfnTd0EIj0VjsOoOzLrrcM4LefMEUCkEyBFEi0ftfUeaf6luCMwHUu73fWWloZFgM3GhkXej/PK7RnZFQFdKxnk9gUj8jPfovbue12N7dUXLqJbGrpvcxDRF4Hf17UCIr5AIPs0FLVrbpdILzjoP6rNRQC5ZSQ9t9mHQn8e758R7/kgfUjfm301kgsY8XG5laS4fFRf/0/K/OzNn0cbXb77kHeq/3X+g+qwA+b2Dc62Zzapxz69Us07fqE67ctr+pZvSwGWdrcl0lMbJ0u7p8ZvmLVZ2j1M+hPnRqQ1C1m+fdHyJV07cRtEbdq124+UDK8XiHR4MR3EiBDpQVANr82Q75EWqf7Efb+tvqGfHvGBIxaqb//W/X3vJUeki3MckQ7v3/4gRoRID4Lq9LSJSE8P535nab1Imw3O8qDOWHRCusQ71OdI90sOPndDAJF2wzH0VhDp0CPsZnwhi7QQklsEPvKny9T3t25SH3/XYvW1c/4kute67IVII9Ju/mW1sxVEurlxR6T9iF3rRdpFGEJ8/JULLrQRE0CkyQQbAoi0DSXKhC7SEuFXd25XJ961RP3otR+r//uDn1JrTrsOka6Y+sxIVwTW0uKIdHMDj0j7ETtE2kEcEGkHEANuApEOOLgOh4ZIO4QZcFNtEGkJ39/9bLM6+b/+mvrZrp+r28+4Uf2b9/+rwqgyI12c7Ih0wL8EHA4NkXYIc5qbQqSnGXjJ6RBpB3FApB1ADLgJRDrg4DocGiLtEGbATbVFpCWE33npe+pj9/6LaOMzWeItS73zL0QakQ74n/vAh4ZIDxzxwE6ASA8MbaWGEelKuIoLI9IOIAbcBCIdcHAdDg2Rdggz4KbaJNISxj//wXr1G/d/Su03c47efOxr0SZk2RcijUgH/M994ENDpAeOeGAnQKQHhrZSw4h0JVyItANcrWsCkW5dyGsNGJGuha11ldom0hLgG566VX32278fPQ7r6QseUu846BfSuCPSiHTrfgk4HDAi7RDmNDeFSE8z8JLTIdIO4sCMtAOIATeBSAccXIdDQ6Qdwgy4qTaKtITzk9+4XN35/J+p97xtgfrOv/oL9bb9DomijEgj0gH/cx/40BDpgSMe2AkQ6YGhrdQwIl0JV3FhRNoBxICbQKQDDq7DoSHSDmEG3FRbRXqsM6Y+/t9+S33zH/6nOvmoD6pvnfvf1ewZsxHpklxns7GAfwk4HBoi7RDmNDeFSE8z8JLTIdIO4oBIO4AYcBOIdMDBdTg0RNohzICbaqtIS0jf2LtTffjus9SmV/5G/fovLVVfXfYV9cozz6nHPr1SzTt+oTrty2sCjny1oSHS1Xi1tTQi3dzII9J+xA6RdhAHRNoBxICbQKQDDq7DoSHSDmEG3FSbRVrCuvWNV9SH7lyitrz+E3XVif+XWnnQ2Yh0Qb4j0gH/EnA4NETaIcxpbgqRnmbgzEgPDjgiPTi2IbSMSIcQxcGPAZEePOMQztB2kZYY/u1P/06dcvevqdd2/6O6491Xq1n/6evMSOeSG5EO4V/74MeASA+e8aDOgEgPimy1dpmRrsarsDQi7QBiwE0g0gEH1+HQEGmHMANuCpGOg/vt/+876ow/W67es22OuuaxoxFpRDrgf/WDGxoiPTi2g24ZkR40Ybv2EWk7Tj1LIdIOIAbcBCIdcHAdDg2Rdggz4KYQ6Yng/tnffk39xz+6Ql37rXeqA499tzrrj9cGHPlqQ2NGuhqvtpZGpJsbeUTaj9gh0g7igEg7gBhwE4h0wMF1ODRE2iHMgJtCpLuDe8Odn1Pv+NJT6u/n7VEXrVun5r/l7QFH335oiLQ9qzaXRKSbG31E2o/YIdIO4oBIO4AYcBOIdMDBdTg0RNohzICbQqS7g2ueI/23h72hvvobs9ST5/+FOmjOWwPOALuhIdJ2nNpeCpFubgYg0n7EDpF2EAdE2gHEgJtApAMOrsOhIdIOYQbcFCJdLNI/mT+qPvPh59RHfvFk9fBvrlOzRmcFnAX9h4ZI92dECaUQ6eZmASLtR+wQaQdxQKQdQAy4CUQ64OA6HBoi7RBmwE0h0sUiPff9/0St/GfPRjt6/+Z7P6HuOeu2gLOg/9AQ6f6MKIFINzkHEGk/oodIO4gDIu0AYsBNINIBB9fh0BBphzADbgqRLhbpeccvVMf8v1epD/3JErV15yvq2n92hVr14SsCzoTeQ0OkWxv6SgNnRroSLq8KI9J+hAORdhAHRNoBxICbQKQDDq7DoSHSDmEG3BQiXS7Sp315jdr0yt+oD999lnpj785oVlpmp9v4QqTbGPXqY0akqzPzpQYi7UckEGkHcUCkHUAMuAlEOuDgOhwaIu0QZsBNIdK9RVo+/eY/fFt9/L+dr0ZHRqP7peW+6ba9EOm2RbzeeBHpetx8qIVI+xAFpRBpB3FApB1ADLgJRDrg4DocGiLtEGbATSHS/UVaStz5/J+pT37j8mgHb9nJ+72HvifgrJg8NES6VeGuPVhEuja6oVdEpIcegqgDiLSDOCDSDiAG3AQiHXBwHQ4NkXYIM+CmEGk7kZZS/8+G31M3Pv2fo2dLf/fCh9QRBx4ecGZ0Dw2Rbk2opzRQRHpK+IZaGZEeKv705Ij0VOMwMjK5hf3201sh6uPy2eho7nvmuMp9blMnbdO02/s839m5W/1wz1518lv2V+868ADdF7l8ku9TQVu63530XLqOGcekukVjlPYydbJ1S8dYUCdlF3W6N0vT12wdc6yrbsyrI+V6xSYbu8I4loyx6/wx15E5B+n+j6nO+J5iLlFfcnHs4pxjmR+j5BuvxhNApBsfwmkZACJtL9Id1VG/cf+n1J//YL1aePgvq788/+vqwFn6v4MteCHSLQiygyEi0g4gDqkJRHpI4HOnRaSnGocikZ5qmw7rf+eoo9QPDzlEnbxli3rXjh0OW6apxhAwF3ZEwGfMiC8giLjLexH26HjyvahMJO6ZOuYihKkj7Zh2Z86M38tn+ntH3s+UcyZl5HiujJohdZK+zdLPfjV9S9vpbjOub8YStx+dx5Q37ZuxZMtX7Y8pv//+Aw83Ij1wxEGcAJG2F2kpuWdsj/rYvf9Cfeel76lfeec/V9/4l3+qZozo3xeBvxDpwAPsaHiItCOQQ2gGkR4C9IJTItIO4jD++halxsfjr04n+a4b7vrZHJfv+kvKdSrWybanr7TH7ZecJznHU3/639Xmp7+vTvrNT6gFJxwXnzutm+2T9CXpV3KekfR83ce7+537rKiOOSbjjfhUqGPGmNbNMk7aKuSc4ZKtm5x7Ymw9Ypb226K/Ju758cu5ZUZ8TM4z1j32Sf0u4Gx49cul/OcO8pomSgjkLwQYUTcXC+TCQV7so88S+c+LvSk7S1ay6HPO0CsmMhcjui40GLFPL14k7U7qU/biRXIxI9un6OJFXDe+2JG5OJGWK7n4IWMpujgRXUwp649u3/OLjk3Jd0S6mkhL6Z/t+rk6+b/+mvq7n21WF77vN9Uff/zmpoS7dj8R6droWlURkW5uuBFpP2KHSDuIA/dIO4AYcBNDv0d655sTF3rGROaTiybj5r3+WUTfXAyKyiQXWeS9ueBTVkZkf+8+XUeX3ae/Szmpp79G9sXfo8/ku/k5+lyXk/LRZxN1ussk9bLlzfvM+UaS83XVlfFE/cm0b/pX1p+obPcY1Bs7A87OIQ3tAD3DXyL20fGeYq8/n6XFPF1JMbl8x1zMmOrFjfwqh2gVxsT50pUQ2Ysn0q+pXmwxF0wKbttApKuLtNT40Ws/VifetUS9unO7+v2PfFZdfdKlQ0r+6TktIj09nJt+FkS6uRFEpP2IHSLtIA6ItAOIATcxdJEOmO3QhrZr14T895Pz/MWC7MWG6LP4IsLIqJ6R3rNbdfbsVPGFAXNxISf22YsR0cUEc7EhKd+zP0l5cyFBn2Mkf7HBXEgwFyLyFz+izwsuTpgLJtnychGHl1sCB+h7fFNx7xb79OJE14WE3EqI/K0PmYsFlVZCFK28MBca8isnCm6p6BTd4iEXSKTsnNnx1+w5mfdyTP/8lgO7eG57ZpN67NMr1bzjFyp5jnSv1/e3blIf+dNPqF37dquvLvuK+vVfWuo2Nh61hkh7FAyPu4JIexycPl1DpP2IHSLtIA6ItAOIATeBSAccXIdDa8090m9quc6vQMiI/aRVBPkVAl0XEiavOogvDCQXFbouNGRWQZiVGWYlg1kdYVZNWPSneBVE9hy5VRZpmwUrM4ouTrypL9bwKicgs/VatrcdeKD65iFvU/M0w1+RWyNmJ8IdifjE+07y8zcOekWdfdhjaqa+5ebxvcvVySPzJ/Z4kAsBsh9EeutEspeE2W8h3Usi2WvC3BqR7i2RlDf7T6R7OWT2oci2Lasb8m2b/SZM3ag/Zi8Lsx+FPk+ffRsQaf7x2BBApG0o+VkGkfYjLoi0gzgg0g4gBtwEIh1wcB0OrTUi7ZBZ65rSFyFGZx6sxne9plcv6FsOotstJt9Ska5SMLdNFN3ikKyEyN5yMbESoseqg/TiQ2YlRLZ9i/5MWgWRWZmh9u5Vard+wsEe/SXfd+/O/Kzf51Y5bNMz9N985zvVvDfeUL/yox9ZpcR/PlGpSz+u1MH6WsVxL1tVcVooeg6FviPGPPOjynspKy/TxqT3Wsz1syL0lgTyJAj5v+R9/C5zXJeLGpk4Lu+in5NjXe/1JpDmeNx2Uk8uBETN6PZko0hznmiTSvm/+HjadtS/5LOkr1Fb8j46d7yxZfS/5AkVXe/NeeR79BXXkaeMjOgLDlF9OW/UXnxhJD6//h5dKInLp22bctH4ZsRlk004J9pI+mf6oy92xG3r4/pizQTjJC7JfhDdxzNcI14Jk/R9EtdJxzPl0lhm4zpxzohxHIyYd+F5ssf1NZo5h6jxva/rfNSrk3r0O84z878efS1tw+RtkoOmPau+5sbbmdxG2r+u88f1+nPoLmO28yiKXzeHorZ7n7Oc8QSf/WbaPYkFkXb6a7l2Y4h0bXQTFRFpBxADbgKRDji4DoeGSDuEGXBT3COdBFeEWkv2tmf+Wj129XVq3nvfo067+rJEwLPyvUeNiIwbMU++/7vd31A3q+8GnCkMDQIQCJlAZ1VyVS3kQTZgbIi0gyAh0g4gBtwEIh1wcB0ODZF2CDPgphDp7uBWuUc6nxaPv/i/pj1TxqMnOcizM/T/ZKPG6H388+TjcZn0s0nv4+539CqA6CtaoSB1ZM+FA9T4njf0cT3DH20aqY9H5ZIypk7yxAk5LvWi+vJeVhZIHd1mJ9lwshO1nXwWlY/LdrUtx6SM1FPmXKaNpG05ntSdqJ9tT+pm2o7OmdSJ3ifs5H1yvpHkWNTX6Fi8Yaa0FP8cl43Gl7YdfRp/Fj3NJMPbjM8cT+Ml/ZLS0l5UuTuWepLS6I2eOJ30Xo6lMe/xvlcbUX0P25Z+jZsxOeKQZWXLxJaxT23v0ttDVH0h0lWJDaY8Iu2AKyLtAGLATSDSAQfX4dAQaYcwA24Kke4O7lREOuA0UdwjPcToms0oze0T0ffkNoz0mNZCc5tE+nlSxjwhI/08KSvmbm6DyLctG1ZOaid5AkfXnhDJEzqSzSHlgktn9+vagLN7S5g9JuTignnyRubpHvl+mSeAyOaV6S0j2fNk3qdjSJ4MkuURXeSxeJpIWibhYp44It/btLdEciFuiJnOqTUBRNpBGiDSDiAG3AQiHXBwHQ4NkXYIM+CmEGlE2ia9EWkbSpRhs7Hm5gD3SPsRO0TaQRwQaQcQA24CkQ44uA6Hhkg7hBlwU4g0Im2T3oi0DSXKINLNzQFE2o/YIdIO4oBIO4AYcBOIdMDBdTg0RNohzICbQqQRaZv0RqRtKFEGkW5uDiDSfsQOkXYQB0TaAcSAm0CkAw6uw6Eh0g5hBtwUIo1I26Q3Im1DiTKIdHNzAJH2I3aItIM4INIOIAbcBCIdcHAdDg2Rdggz4KYQaUTaJr0RaRtKlEGkm5sDiLQfsUOkHcQBkXYAMeAmEOmAg+twaIi0Q5gBN4VII9I26Y1I21CiDCLd3BxApP2IHSLtIA6ItAOIATeBSAccXIdDQ6Qdwgy4KUQakbZJb0TahhJlEOnm5gAi7UfsEGkHcUCkHUAMuAlEOuDgOhwaIu0QZsBNIdKItE16I9I2lCiDSDc3BxBpP2KHSPsRB3oBAQhAAAIQgAAEIAABCEAAAg0hgEg3JFB0EwIQgAAEIAABCEAAAhCAAAT8IIBI+xEHegEBCEAAAhCAAAQgAAEIQAACDSGASDckUHQTAhCAAAQgAAEIQAACEIAABPwggEjXjMPKVbeqhzdsjGofe8wCtW7tqpotUS1UAjfddq+6Y91DXcMjV0KNdvVxPfH0JrXiqi+q5x+/o6vyi1u2qqXnX50eW3vjFerUExdWPwE1giBQlifLV6xWz72wuWuMFy1foq685Nwgxs0g7Ahk/xaRGvkc4PeJHcfQS/XLE36fhJ4BjG9QBBDpGmTvuf9RdfudD6gN990S1ZZfQCccdwx/wNRgGXIVEemNz77ARZaQg1xjbPk/bPMiveicy9TFF56tzlu2WJVJVI3TUqVhBPrlCf/daVhAB9RdyQNzId/kTPbiG79PBgS+Yc32yxN+nzQsoHTXGwKIdI1Q5H/h5MW6RpNUCZAAIh1gUB0OSX5vXH/zXV0z0kXinP1D2OHpaaohBIryhAu4DQneELrZT5z5fTKEoHh4ynweINIeBokuNYIAIl0jTPlfQMwa1YDYgir5pd0s625B0CsMsUiQii7K8QdOBagBFu0l0tml3SzrDjD4NYb0vo9epMyMNL9PagBsSZVsnpgLc/w+aUnwGaZTAoh0DZzyC+iayy+Ill7Ky4j0+rtvUEfPP6JGi1RpAwHJG/7YbUOk7cZYJEhy8eXBR55Mbxsxf+AcdeShas3qS+0aplRQBMpEOjtI898g7qc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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.react_diffuse(total_duration=0.05, fraction_max_step=0.5, show_status=True)\n",
"bio.visualize_system()"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "fccca7c1-d5e5-45a0-8b15-e8a0fd7db1b9",
"metadata": {
"tags": []
},
"outputs": [
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"name": "stdout",
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"text": [
"{'steps': 1351, 'system time': '0.30066', 'time_step': 0.00011111}\n"
]
},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.react_diffuse(total_duration=0.15, fraction_max_step=0.5, show_status=True)\n",
"bio.visualize_system()"
]
},
{
"cell_type": "markdown",
"id": "9c220a73-e438-41d0-a7f3-e6c308cefdd2",
"metadata": {},
"source": [
"#### The increasingly prominent `C` (green) on the right is from `A` that managed to cross the membrane, and then converted to `C`"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "00761cd1-36cc-48d2-abbb-01086455c174",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'steps': 6001, 'system time': '1.5009', 'time_step': 0.000199998}\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
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3,
4,
5,
6,
7,
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9,
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13,
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15,
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19,
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"xaxis": "x",
"y": [
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0.09695377006224118,
0.0966939191549102,
0.09639255750311874,
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0.0923179456431901,
0.09157228053991913,
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{
"hovertemplate": "Chemical=B
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""
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"output_type": "display_data"
}
],
"source": [
"bio.react_diffuse(total_duration=1.2, fraction_max_step=0.9, show_status=True)\n",
"bio.visualize_system()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "85c96cd4-d7c3-44ac-9f11-5646fc01453a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "a8149161-7f8f-437b-a820-b0ac9472562f",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "2bf0f4c8-0214-4a6e-836b-3a4a587ce3f5",
"metadata": {},
"source": [
"### Now, let's look at the faraway bin 29, and it concentration change with time"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "4db48e37-c6ed-4a64-8661-e44133ab3062",
"metadata": {
"tags": []
},
"outputs": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"scenario_2 = bio.plot_history_single_bin(title_prefix=[\"Diffusion, membrane passive transport, and reaction `A + B <-> C`\",\n",
" \"Faraway bin.\"], \n",
" bin_address=29)\n",
"scenario_2"
]
},
{
"cell_type": "markdown",
"id": "9f612fe3-8f75-4d73-a8be-18776668247a",
"metadata": {},
"source": [
"## A lot more `A` (eventually converted into `C`) reaches the faraway bins, compared to the earlier scenario!"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "0a77f8e4-3ab1-467e-8ae5-cf4a68187779",
"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": "dot",
"shape": "linear"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"PlotlyHelper.combine_plots(fig_list = [scenario_1, scenario_2], \n",
" title=\"Diffusion, membrane passive transport, and reaction `A + B <-> C`
Concentrations in faraway bin 29
Comparison of scenario 1 (dotted) and 2 (solid)\", \n",
" layout_index=0, modify = {0: \"dot\"})"
]
},
{
"cell_type": "markdown",
"id": "47ce19ef-7cb5-4077-803e-fc5f1c2b27cc",
"metadata": {},
"source": [
"Magnify plot to separate the red and green dots (very close to each other)! \n",
"\n",
"Side note: `B` eventually equilibrates to the same value under either scenario - since `B` diffuses freely across membranes, and is the excess reactant: it diffuses throughout to bind to `A`, wherever `A` might be..."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "2860a3f9-6112-4c41-ace3-6491b62cbd98",
"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
}