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"source": [
"# Diffusion of 1 chemical in 1D\n",
"\n",
"## An initial concentration pulse (near the left edge of the system) diffusing out towards equilibrium\n",
"\n",
"The system starts out with a \"concentration pulse\" in bin 2 (the 3rd bin from the left) - i.e. that bin is initially the only one with a non-zero concentration of the only chemical species.\n",
"Then the system is left undisturbed, and followed to equilibrium."
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"### TAGS : \"diffusion 1D\", \"quick-start\""
]
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"id": "2b08132b-3002-444a-aaa4-68eb37342237",
"metadata": {},
"outputs": [],
"source": [
"LAST_REVISED = \"Aug. 15, 2025\"\n",
"LIFE123_VERSION = \"1.0.0rc6\" # Library version this experiment is based on"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "1302ee3c-4c75-4e67-9b77-d75d27d6d29a",
"metadata": {},
"outputs": [],
"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "911ca4cb",
"metadata": {},
"outputs": [],
"source": [
"#import sys, os\n",
"#os.getcwd()\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, check_version"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "ff5b7f09-0b8b-4b10-bf4f-cb5b7b9f269a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"OK\n"
]
}
],
"source": [
"check_version(LIFE123_VERSION)"
]
},
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"cell_type": "code",
"execution_count": null,
"id": "0b243ad6-10d9-420e-b786-1be74bfe36de",
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"outputs": [],
"source": []
},
{
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"source": [
"## Prepare the initial system\n",
"with a single non-zero bin concentration of the single chemical `A`, near the left edge of the system"
]
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"execution_count": 5,
"id": "35b682f7-dfbd-44ec-8e72-6165b66a1007",
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"source": [
"chem_data = ChemData(names=\"A\", diffusion_rates=0.1) # If you want to assign a default color, pass arg: plot_colors=[\"SOME_COLOR_NAME\"]\n",
"\n",
"bio = BioSim1D(n_bins=10, chem_data=chem_data)"
]
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"id": "733f6bbe-956e-46f1-87ae-50e91e44f6e1",
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"SYSTEM STATE at Time t = 0:\n",
"10 bins and 1 chemical species\n"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Diffusion\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "87e696ec-dc96-4914-a660-8d94c22f5d16",
"metadata": {
"tags": []
},
"outputs": [
{
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "bcc9da93-58ec-4d05-9a44-2c4b00d906d8",
"metadata": {},
"outputs": [],
"source": [
"\n"
]
},
{
"cell_type": "markdown",
"id": "0f4d728a-b25f-4e8f-a09e-1a831d2d40fe",
"metadata": {},
"source": [
"## Request history-keeping for some bins"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "e4753344-6e01-4c50-a3d7-c7f3774cf040",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"History enabled for bins [0, 2, 9], for ALL chemicals\n"
]
}
],
"source": [
"# Request to save the concentration history at the bin with the initial concentration injection, \n",
"# and the bins at the ends of the system\n",
"bio.enable_history(bins=[0, 2, 9], frequency=4, take_snapshot=True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3f9a7218-613a-4f57-b452-a5fc56b4fb8d",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "c58f21b4-f5ba-457c-91fa-fbe511a2a75d",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
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"{'steps': 100, 'system time': '10', 'time_step': 0.1}\n",
"SYSTEM STATE at Time t = 10:\n",
"[[1.22598070e+00 2.22414009e+00 3.08221111e+00 2.15823525e+00\n",
" 9.37782076e-01 2.88503658e-01 6.79378836e-02 1.28711509e-02\n",
" 2.03304706e-03 3.05037621e-04]]\n"
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"# Advancing to time t=10, with time steps of 0.1 ...\n",
"# Not sure what value to pass for time steps? If unspecified, a default value is used\n",
"\n",
"delta_time = 10.\n",
"\n",
"status = bio.diffuse(total_duration=delta_time, time_step=0.1)\n",
"print(status)\n",
"\n",
"bio.describe_state(concise=True)"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Diffusion\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "e113afcd-7849-4229-a8e6-143cc52d3c2a",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"len": 1.2,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.5
},
"colorscale": [
[
0,
"rgb(254, 254, 253)"
],
[
0.09090909090909091,
"rgb(224, 224, 223)"
],
[
0.18181818181818182,
"rgb(197, 197, 195)"
],
[
0.2727272727272727,
"rgb(171, 171, 170)"
],
[
0.36363636363636365,
"rgb(146, 146, 145)"
],
[
0.45454545454545453,
"rgb(124, 123, 122)"
],
[
0.5454545454545454,
"rgb(102, 101, 101)"
],
[
0.6363636363636364,
"rgb(81, 80, 80)"
],
[
0.7272727272727273,
"rgb(59, 59, 59)"
],
[
0.8181818181818182,
"rgb(38, 38, 38)"
],
[
0.9090909090909091,
"rgb(16, 16, 16)"
],
[
1,
"rgb(0, 0, 0)"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x",
"xgap": 2,
"y": [
"A"
],
"yaxis": "y",
"ygap": 2,
"z": [
[
1.2259806961294384,
2.2241400867277026,
3.082211113999412,
2.1582352502384383,
0.9377820761771722,
0.2885036575729452,
0.06793788355302781,
0.012871150917420991,
0.0020330470637647756,
0.00030503762067958317
]
]
}
],
"layout": {
"autosize": true,
"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",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
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],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
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],
[
0.5555555555555556,
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],
[
0.6666666666666666,
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],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
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],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
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],
[
0.7777777777777778,
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],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "25680058-e0eb-4ea0-9bd4-53d65388351d",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "e7e88e5a-fc8b-4126-8649-d929f1d01c93",
"metadata": {},
"source": [
"## This is still an early stage in the diffusion process; let's advance it more... \n",
"(Visualization from results shown at selected times)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "28bfd5d1-39ab-4008-afb5-2de8390642a8",
"metadata": {
"lines_to_next_cell": 2,
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 20:\n",
"[[1.79154498 2.04604996 2.15752876 1.81408657 1.18572897 0.61493163\n",
" 0.26031377 0.09234937 0.02835038 0.00911562]]\n"
]
},
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",
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for i in range(50):\n",
" status = bio.diffuse(total_duration=delta_time, time_step=0.1)\n",
"\n",
" if i<2 or i==6 or i>=49:\n",
" bio.describe_state(concise=True)\n",
" \n",
" # Line curve view\n",
" fig = bio.visualize_system(title_prefix=\"Diffusion\") # Line curve view\n",
" fig.show()\n",
" \n",
" # Heatmap view\n",
" fig = bio.system_heatmaps()\n",
" fig.show()"
]
},
{
"cell_type": "markdown",
"id": "4793d583-67d4-4561-bc03-a73237392fe2",
"metadata": {
"tags": []
},
"source": [
"## All bins now have essentially uniform concentration\n",
"\n",
"**Mass conservations**: The initial \"10 units of concentration\" are now uniformly spread across the 10 bins, leading to a near-constant concentration of 10/10 = **1.0**"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "6e99107a-1515-41dd-a059-498c7144548c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Mass conservation can also be verified as follows:\n",
"bio.check_mass_conservation(chem_label=\"A\", expected=10.)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "34fa53fc-a06e-4189-bdef-1ca2fb3a9c66",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "6a4fc3f5-d17e-40ce-ab8b-e6f83650690b",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "0b849e69-314e-4c9d-afe7-135c8b0b8a36",
"metadata": {},
"source": [
"## Visualization of time changes at particular bins"
]
},
{
"cell_type": "markdown",
"id": "5c3e4c3a-7ef6-4e87-b1dd-b35e855d033c",
"metadata": {},
"source": [
"#### Instead of visualizing the entire system at a moment of time, like in the previous heatmaps, let's now look at the time evolution of the (only) chemical `A` at either of the bins whose history we requested prior to running the simulation"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "1a1dd41d",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" A | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 10.000000 | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.4 | \n",
" 9.235207 | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.8 | \n",
" 8.557276 | \n",
"
\n",
" \n",
" | 3 | \n",
" 1.2 | \n",
" 7.955274 | \n",
"
\n",
" \n",
" | 4 | \n",
" 1.6 | \n",
" 7.419713 | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 1271 | \n",
" 508.4 | \n",
" 1.006881 | \n",
"
\n",
" \n",
" | 1272 | \n",
" 508.8 | \n",
" 1.006854 | \n",
"
\n",
" \n",
" | 1273 | \n",
" 509.2 | \n",
" 1.006827 | \n",
"
\n",
" \n",
" | 1274 | \n",
" 509.6 | \n",
" 1.006800 | \n",
"
\n",
" \n",
" | 1275 | \n",
" 510.0 | \n",
" 1.006774 | \n",
"
\n",
" \n",
"
\n",
"
1276 rows × 2 columns
\n",
"
"
],
"text/plain": [
" SYSTEM TIME A\n",
"0 0.0 10.000000\n",
"1 0.4 9.235207\n",
"2 0.8 8.557276\n",
"3 1.2 7.955274\n",
"4 1.6 7.419713\n",
"... ... ...\n",
"1271 508.4 1.006881\n",
"1272 508.8 1.006854\n",
"1273 509.2 1.006827\n",
"1274 509.6 1.006800\n",
"1275 510.0 1.006774\n",
"\n",
"[1276 rows x 2 columns]"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.conc_history.bin_history(bin_address=2) # The bin where the initial concentration was applied"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "8c21c514-e846-4be2-874a-94c0374b3844",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
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"data": [
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"type": "scattergl",
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2.0000000000000004,
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=2)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "7c55be47-4dcb-4ae8-8fd9-14e08bd47554",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=0, title_prefix=\"Notice the transient 'overshoot`\") # Left \"edge\" of the 1D system"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "df4146db-4b69-4069-a1c4-cfc27b506479",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=9) # Right \"edge\" of the 1D system"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "435ab7e5-0f54-48a4-b38a-ae167c7958cd",
"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
}