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"source": [
"# Diffusion of 2 chemicals in 1D\n",
"\n",
"## Two symmetric initial concentration pulses (near the opposite edges of the system) diffusing out towards equilibrium, with identical diffusion rates\n",
"\n",
"Symmetry is observed throughout"
]
},
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"cell_type": "markdown",
"id": "d5cc70a6-8aea-4b15-9351-af69a3664dab",
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"source": [
"### TAGS : \"diffusion 1D\", \"basic\""
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},
{
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"id": "2b08132b-3002-444a-aaa4-68eb37342237",
"metadata": {},
"outputs": [],
"source": [
"LAST_REVISED = \"June 5, 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\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)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "0b243ad6-10d9-420e-b786-1be74bfe36de",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "6faab103-5731-4c26-ad2a-a36a117167a1",
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"source": [
"## Prepare the initial system\n",
"with a non-zero bin concentration of the chemical `A`, near the left edge of the system, \n",
"and an identical bin concentration of the chemical `B`, near the left edge"
]
},
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"cell_type": "code",
"execution_count": 5,
"id": "35b682f7-dfbd-44ec-8e72-6165b66a1007",
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"source": [
"chem_data = ChemData(names=[\"A\", \"B\"], diffusion_rates=[0.1, 0.1], plot_colors=[\"turquoise\", \"green\"])\n",
"\n",
"bio = BioSim1D(n_bins=10, chem_data=chem_data)"
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},
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"execution_count": 6,
"id": "733f6bbe-956e-46f1-87ae-50e91e44f6e1",
"metadata": {},
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"SYSTEM STATE at Time t = 0:\n",
"10 bins and 2 chemical species\n"
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"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"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": "Diffusion
System snapshot at time t=0"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
9
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.5555555555555556,
10.555555555555555
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": 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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Diffusion\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "03d470cb-e098-4a21-802a-162a6611488f",
"metadata": {},
"outputs": [
{
"data": {
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},
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",
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""
]
},
"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": []
},
{
"cell_type": "markdown",
"id": "0f4d728a-b25f-4e8f-a09e-1a831d2d40fe",
"metadata": {},
"source": [
"## Request history-keeping for some bins"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "e4753344-6e01-4c50-a3d7-c7f3774cf040",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"History enabled for bins [0, 2, 7, 9] and chemicals None (None means 'all')\n"
]
}
],
"source": [
"# Request to save the concentration history at the bins with the initial concentration injection, \n",
"# and the bins at the ends of the system\n",
"bio.enable_history(bins=[0, 2, 7, 9], frequency=3, 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",
"id": "42c21d56-3f59-4b7e-a118-f9d2b206d909",
"metadata": {},
"source": [
"# Initial Diffusion Step"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "89cde412-b19a-429b-9d23-785df3e8c85f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'steps': 100, 'system time': '10'}\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",
" [3.05037621e-04 2.03304706e-03 1.28711509e-02 6.79378836e-02\n",
" 2.88503658e-01 9.37782076e-01 2.15823525e+00 3.08221111e+00\n",
" 2.22414009e+00 1.22598070e+00]]\n"
]
}
],
"source": [
"# Advancing to time t=10, with time steps of 0.1 ...\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)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "7de4e966-77dd-4e15-9e7c-4cca687bf4f9",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
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"hovertemplate": "Chemical=B
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"showlegend": true,
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",
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},
"metadata": {},
"output_type": "display_data"
}
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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": "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": 14,
"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",
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"SYSTEM STATE at Time t = 30:\n",
"[[1.908894 1.93254508 1.86205856 1.60230147 1.1912129 0.75904212\n",
" 0.41665574 0.19951697 0.08641213 0.04136102]\n",
" [0.04136102 0.08641213 0.19951697 0.41665574 0.75904212 1.1912129\n",
" 1.60230147 1.86205856 1.93254508 1.908894 ]]\n"
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",
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""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"config": {
"plotlyServerURL": "https://plot.ly"
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"data": [
{
"colorbar": {
"len": 0.519,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.78375
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"colorscale": [
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1,
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"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x",
"xgap": 2,
"y": [
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"yaxis": "y",
"ygap": 2,
"z": [
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1.0067738863138245,
1.004349102730469,
1.001498598669874,
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",
"text/html": [
""
]
},
"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": {},
"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": 15,
"id": "6e99107a-1515-41dd-a059-498c7144548c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 15,
"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": 16,
"id": "2b42e476-1a31-4686-926c-b42f6704c946",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.check_mass_conservation(chem_label=\"B\", expected=10.)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "34fa53fc-a06e-4189-bdef-1ca2fb3a9c66",
"metadata": {},
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{
"cell_type": "code",
"execution_count": null,
"id": "6a4fc3f5-d17e-40ce-ab8b-e6f83650690b",
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},
{
"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": {
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"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" A | \n",
" B | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 10.000000 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.3 | \n",
" 9.417800 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.6 | \n",
" 8.886104 | \n",
" 5.880000e-09 | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.9 | \n",
" 8.400051 | \n",
" 1.162426e-07 | \n",
"
\n",
" \n",
" | 4 | \n",
" 1.2 | \n",
" 7.955274 | \n",
" 6.880566e-07 | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 1679 | \n",
" 508.7 | \n",
" 1.006861 | \n",
" 9.931393e-01 | \n",
"
\n",
" \n",
" | 1680 | \n",
" 509.0 | \n",
" 1.006841 | \n",
" 9.931594e-01 | \n",
"
\n",
" \n",
" | 1681 | \n",
" 509.3 | \n",
" 1.006820 | \n",
" 9.931795e-01 | \n",
"
\n",
" \n",
" | 1682 | \n",
" 509.6 | \n",
" 1.006800 | \n",
" 9.931995e-01 | \n",
"
\n",
" \n",
" | 1683 | \n",
" 509.9 | \n",
" 1.006781 | \n",
" 9.932195e-01 | \n",
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\n",
" \n",
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\n",
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1684 rows × 3 columns
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"
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"text/plain": [
" SYSTEM TIME A B\n",
"0 0.0 10.000000 0.000000e+00\n",
"1 0.3 9.417800 0.000000e+00\n",
"2 0.6 8.886104 5.880000e-09\n",
"3 0.9 8.400051 1.162426e-07\n",
"4 1.2 7.955274 6.880566e-07\n",
"... ... ... ...\n",
"1679 508.7 1.006861 9.931393e-01\n",
"1680 509.0 1.006841 9.931594e-01\n",
"1681 509.3 1.006820 9.931795e-01\n",
"1682 509.6 1.006800 9.931995e-01\n",
"1683 509.9 1.006781 9.932195e-01\n",
"\n",
"[1684 rows x 3 columns]"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.conc_history.bin_history(bin_address=2) # The bin where the initial concentration of `A` was applied"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "8c21c514-e846-4be2-874a-94c0374b3844",
"metadata": {},
"outputs": [
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"data": {
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"config": {
"plotlyServerURL": "https://plot.ly"
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"data": [
{
"hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "turquoise",
"dash": "solid",
"shape": "linear"
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"marker": {
"symbol": "circle"
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"mode": "lines",
"name": "A",
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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": "8ec138e6-7c56-4add-b278-3e8a2886076f",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
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"legendgroup": "A",
"line": {
"color": "turquoise",
"dash": "solid",
"shape": "linear"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"showlegend": true,
"type": "scattergl",
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"title": {
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=7) # The bin where the initial concentration of `B` was applied"
]
},
{
"cell_type": "markdown",
"id": "36ba595c-92c9-4930-ac83-0b15fec6da2f",
"metadata": {},
"source": [
"Notice the symmetery between bins 2 and 7 (if you switch `A` and `B`)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "caebb743-d170-4c66-837f-00bf2c55e9ce",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 20,
"id": "7c55be47-4dcb-4ae8-8fd9-14e08bd47554",
"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": "turquoise",
"dash": "solid",
"shape": "linear"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"showlegend": true,
"type": "scattergl",
"x": [
0,
0.30000000000000004,
0.6,
0.8999999999999999,
1.2,
1.5000000000000002,
1.8000000000000005,
2.1000000000000005,
2.400000000000001,
2.700000000000001,
3.0000000000000013,
3.3000000000000016,
3.600000000000002,
3.900000000000002,
4.200000000000001,
4.5,
4.799999999999999,
5.099999999999998,
5.399999999999997,
5.699999999999996,
5.999999999999995,
6.299999999999994,
6.5999999999999925,
6.8999999999999915,
7.19999999999999,
7.499999999999989,
7.799999999999988,
8.099999999999987,
8.399999999999986,
8.699999999999985,
8.999999999999984,
9.299999999999983,
9.599999999999982,
9.89999999999998,
10.29999999999998,
10.599999999999978,
10.899999999999977,
11.199999999999976,
11.499999999999975,
11.799999999999974,
12.099999999999973,
12.399999999999972,
12.69999999999997,
12.99999999999997,
13.299999999999969,
13.599999999999968,
13.899999999999967,
14.199999999999966,
14.499999999999964,
14.799999999999963,
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15.399999999999961,
15.69999999999996,
15.99999999999996,
16.29999999999996,
16.599999999999966,
16.89999999999997,
17.199999999999974,
17.49999999999998,
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18.099999999999987,
18.39999999999999,
18.699999999999996,
19,
19.300000000000004,
19.60000000000001,
19.900000000000013,
20.30000000000002,
20.600000000000023,
20.900000000000027,
21.20000000000003,
21.500000000000036,
21.80000000000004,
22.100000000000044,
22.40000000000005,
22.700000000000053,
23.000000000000057,
23.30000000000006,
23.600000000000065,
23.90000000000007,
24.200000000000074,
24.500000000000078,
24.800000000000082,
25.100000000000087,
25.40000000000009,
25.700000000000095,
26.0000000000001,
26.300000000000104,
26.600000000000108,
26.900000000000112,
27.200000000000117,
27.50000000000012,
27.800000000000125,
28.10000000000013,
28.400000000000134,
28.700000000000138,
29.000000000000142,
29.300000000000146,
29.60000000000015,
29.900000000000155,
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=0) # Left \"edge\" of the 1D system"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "df4146db-4b69-4069-a1c4-cfc27b506479",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
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"legendgroup": "A",
"line": {
"color": "turquoise",
"dash": "solid",
"shape": "linear"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"showlegend": true,
"type": "scattergl",
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"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Concentration as a function of time of all chemicals at bin 9"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
509.90000000004744
],
"title": {
"text": "SYSTEM TIME"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.10619924088244036,
2.0177855767663666
],
"title": {
"text": "Concentration"
},
"type": "linear"
}
}
},
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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": "markdown",
"id": "f5304579-ccfd-44b8-8688-964b1b78c2d6",
"metadata": {},
"source": [
"Notice the symmetery between bins 0 and 9 (if you switch `A` and `B`)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "8f1ba5c5-85cf-4aa3-a168-8f3f3677a7c8",
"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
}