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"## Diffusion of a bell-shaped initial concentration along an initial gradient\n",
"A single chemical, whose initial concentration is a mix of a bell shape and a gradient. \n",
"Contrary to perhaps an intuition of a \"pile sliding down a sand dune as a unit\", the concentration peak\n",
"remains in place, and simply spreads out from there"
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"LIFE123_VERSION = \"1.0.0rc3\" # Library version this experiment is based on"
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},
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"execution_count": 2,
"id": "806647d0-4c0b-4abf-8d86-53460378d93e",
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"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
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"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, check_version"
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},
{
"cell_type": "code",
"execution_count": 4,
"id": "fe26e828-4428-4754-af9b-b54739b3a109",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"OK\n"
]
}
],
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"check_version(LIFE123_VERSION)"
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},
{
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"execution_count": null,
"id": "79045ff7-ed3f-4c3a-be79-9f8a4476f3de",
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"cell_type": "code",
"execution_count": 5,
"id": "a7c31adc-b1b2-419e-8a09-e049e6a95f5d",
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"# Initialize the system\n",
"chem_data = ChemData(names=\"A\", diffusion_rates=10.)\n",
"\n",
"bio = BioSim1D(n_bins=200, chem_data=chem_data)"
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},
{
"cell_type": "code",
"execution_count": 6,
"id": "c984f746-d373-4a8a-89a4-9c3f0a3fca69",
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"# Set up the initial bell-shape concentration, with the peak close to one end of the system\n",
"bio.inject_bell_curve(chem_label=\"A\", mean=0.25, sd=0.1, amplitude=20., bias=0)"
]
},
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"cell_type": "code",
"execution_count": 7,
"id": "b0064638-528f-40a6-9d07-8c4175af16e0",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visualize the system state so far\n",
"bio.visualize_system(title_prefix=\"Preparations in progress\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "98c74ccd-f9b9-4c5b-8697-8f9d07e0f6bc",
"metadata": {
"tags": []
},
"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",
"type": "heatmap",
"xaxis": "x",
"xgap": 0,
"y": [
"A"
],
"yaxis": "y",
"ygap": 2,
"z": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show as heatmap\n",
"bio.system_heatmaps(title_prefix=\"Preparations in progress\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "123b0b5d-197d-4534-9b8a-3ac67695b19f",
"metadata": {},
"outputs": [],
"source": [
"# Complete the initial-system preparation by adding a gradient slanting to the right\n",
"bio.inject_gradient(\"A\", conc_left = 50., conc_right = 0.)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "96abe826-ae22-4266-a9b1-4adcd8370a87",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Bin number=%{x}
[A]=%{y}",
"legendgroup": "",
"line": {
"color": "darkturquoise",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
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"domain": [
0,
1
],
"range": [
-6.523347327867239,
123.94359923045128
],
"title": {
"text": "[A]"
},
"type": "linear"
}
}
},
"image/png": 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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visualize the complete initial state\n",
"bio.visualize_system()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "851344d7-9da7-4cd0-b809-62bd7047fb25",
"metadata": {},
"outputs": [
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oY2koUmCHHSmw44cUhMCPIvIToKeADKkEAaSgEpS5B1JADkRJACmwo4sU2PFDCkLgRxFIATkQPwGkIP4YZKEGSEEWohxfG5ECO/ZIgR0/pCAEfhSBFJAD8RNACuKPQRZqgBRkIcrxtREpsGOPFNjxQwpC4EcRSAE5ED8BpCD+GGShBkhBFqIcXxuRAjv2SIEdP6QgBH4UgRSQA/ETQArij0EWaoAUZCHK8bURKbBjjxTY8UMKQuAXVxH9k1PSPTkuPRMT+jr91TMxKd0TY9M/6/v7pyZlz/j07w7o996jTdd0b62tldaaWmnTL/P9An2vrbZu5tX8zpxTr+/p68w5C/V1UV2tdOl5K+rqCzaficYFEXFCCASQghAgUkRBAkhBQUScYEEAKbCAp5ciBXb8kIIQ+EVVRP/UlPxgdFh+PDYmL4+OyE/GR2XX+LjzgP9L/UrKcZDKwTGNTXJUQ6Mc3dgsqxobZXVD02z1kIKkRKq664EUVHd8k9I6pCApkajOeiAFdnFFCuz4IQUh8LMtYkSm5Eejo/KjsVF5RSXgB2Mjzve79ZP+fEeL1EhnXZ3zib3zql+d+v0S/fTe/X761XyqXy/t+uo9+iYnnd6DAe1xGNTX6e/N65QcUOkY0Ffzfr/W44D7/sw5PU6vxITsySMnR9c3ypEqC8cvaJETWprlkIk6eUt94Z4FW55cn00CSEE2417pViMFlSaerfshBXbxRgrs+CEFIfArpYgfmAd/feh/ST/5N9+/rDLwcx3u4z/MUJ3j9NP24/ShemWDPuTrQ/0SfcBfrA/9RgKS9HD9svZk/ETb9L2RN4XmjYnxQCymXcfOtOsI7VEw35/c1FwKQs6FQCABpIDEqAQBpKASlLN7D6TALvZIgR0/pCAEfkFFvDquQ370od984v9DfVj+0fiI/jz/4d9ce1h9gzP05vimFuf1GH1YPqSuIaKaVaZY0+vwoorCD1V6Xpk0DEbkheERp+fBfzRpj8fbVQzepe3/zdY2R4Y4IFAqAaSgVGKcXw4BpKAcalxTLAGkoFhSwechBXb8kAJLfrv0E/GXzIO/EQAd+uOIgD4ImyFB/mOB59N/M+7+aH34PbapSZr1obiaD++cgte0V8T0jnxfhWG7ytJ/6Zd/CNKhKkTvW9Aq57YulLfrHAUOCBRDACkohhLn2BJACmwJcn0+AkiBXX4gBcrvqa3bZd11t86SXLvmbLl2/YWzP1+94S55Yss25+fjVh0umzdtmEN9R/eQXRQydPV2fZh9ZmRIvjs8JP9vaFB6Aj75NjjMg+1RZsKtfgJuPvk235v3sngUmmj8U51AvU2HU/37gX75+tCBOYiW6/yI97e0yfu0B+HXtCeBAwK5CCAF5EYlCCAFlaCc3XsgBXaxz7wUvPbGbjnn4utl083XyGmnrhb/zw8+8k25575HZcvDdzik16zbKKecuGqONCAFwUn4hq70s10//d+mEvCsDn95Xr/39wCYT/lX67h/88n/Kn013xsJaNFeAY5pAoWkwMtpSCXrSZWtxwYH5AkVBO9wo8U6Ufp9Kgjv1x6E05sXgBcCcwggBSREJQggBZWgnN17IAV2sc+8FLi9BC8+ee8sydMvuFIuu/Q8uej8M+dJgF8SzEVIgTgPn8/pg/+z+uD/vErAVu0JCOoF6NSH/VObW+Sd+lB6qn5yfbxKAEd+AqVIgb8kIwaPDfbLEyoJZolW91io+yectaBNzl2wUM5qaSUEEHDks1bzom8weO4OiCAQBgGkIAyKlJGLAFJglxuZlwKDz3z6//2XfiaPP3CT9hT8Uj7+11+c7RnwCoI5N0gisigFZkz7czqe/VkVgOdUBF4JmARsegGO1zHtpzQ3yQkqACc2NCdq1R+7fzqVu9pGCry1fHJ4UL6mQ4y+NjQg+3SJVPcwS7OerXMQPtC6SN6LIFQusAm7E1KQsIBUaXWQgioNbEKahRTYBQIpUH633P2QPPaNp2Vvz36HpndOwbFnrJUbrrrE6TXwSoERiENXHuy8d2A4ePlIu9Ak5+rXxsbleTMHYHDQmQfwveFhGfJ86uzW1Cz/eaKup3/qggVySssCXQ2o/F6A6p46XFps6+trnanUY+PzVx4qraQ3z/6PwQPyr3398q/9+2Wn7tjsHsvr6+SDizvlDzsWyzL2RCgXb+qum9C9Npoa60LPs9SBoMKRE6jX3dy1QyrUv2eRV7rKbzB/WY/0Nri1mb18bKKXeSkwn/x7ewYMTCMCrhgU01PQOzBqE4NEXWuWwtw2pPMAVAK2qgA8owKwL2CDrSX6h/0UMwSopUVfW+Tk5mYxqwOFdVTTHylbJs0NylX/Lzo8Gs0uzFs1xl/p65WH+vrmzEFYs3CRfKSzS3dZLl/ubNvO9ZUhMKWS32KkQPNsKKI8q0xLuEvSCZi/Z+RZsqJUTR/CdbQ1JgtuymqTeSkwvQTbnn9pzopCZjjRimVdctvGK6p+TsH3dNWa/xodkhd0KNAL+r1ZHtR/mGFAJ+gqQCfrJ/8nN+o8AP1+ha5qw1EZAmENHypUWzNJ+V907sHf9fXM2RPiDJW/dYs65b+p/HFULwGGD1VvbJPUMoYPJSka1VcXhg/ZxTTzUuDOEfCvPuQOGaqm1Yd+oWvcm3kA7td2lYBh334AdZpPR9Q3OpthnawPgSfqnIBVuiFYeH0AdgmbxasrJQVetmb+wef398h3dM6IexyjeXCZysEHdPUilLD6MhEpqL6YJrFFSEESo1I9dUIK7GKZeSkw+MyD/4233z9L0juHwLyZtn0Kfqa7Ae+amJAR/eT3MZ1Y+pr+PKbjcbZqj4D/OLiuTk4wk4F1IvDJKgIn6FARlgO1+0cV9tVxSIHbhh9oz9Hn93c7PQjuYXLmT1UOLm5rF7OKEUd1EEAKqiOOSW8FUpD0CKW7fkiBXfyQAjt+ztVxrD5kdgL+qT7s/1Qf2l7VLzPs51Xzs37lOsyYf7MEqHn4P3lGApbUmr4BjiQTiFMKXC47NN++qPMO7h/YPzvvwOTTxW2LZL0KghEFjnQTQArSHb+01B4pSEuk0llPpMAubkiBHb9IpWBAJ//9WJf+/Kku92ke/n+iX2b32p/qpmDeTan8TViqD/q/qkOAfrWhQd6mEvC2+gY5MsM7AocQ4liLSIIUuADMXgf39ffqvIN9ssczAf0C3fPg8o4uOUrzjiOdBJCCdMYtbbVGCtIWsXTVFymwixdSYMevaCno1XXh+6cmZECX/jOvE1Nzh138RB/+d+vDvjle0Yf/744MSrdnLXl/Nc2ntEfqQ/9h+hD2Nn3gN6+H6xKSR+q47zBXAQoBD0VYEkiSFHib8k86NO3zfd1zJiW/S3uhLm/vEjM5mSNdBJCCdMUrrbVFCtIauXTUGymwixNSYMdPbti5S14fGJF+/dTUfLI/oK/9zoP/pH6vIqBfI77JvKXc8oiZB3/zsH+4fr1Vfz5cBcD0BnBkg0BSpcCl/y1nUnK3iuzwbEBO00nqGzsPoucgRSmKFKQoWCmuKlKQ4uCloOpIgV2QkAI7flLz3AtFlWAmZC7UB/m22hrpqKmXFl3Op62mTt+rcV7bddOojtpa6dRzltbWyyEN9XJoXUNRZXNSdRNIuhS49M2k5E26nOmTur/F3pmhRRfqSkV/tngpEpuCFEUKUhCkKqgiUlAFQUxwE5ACu+AgBXb85Obde2RsaFwf9vUBXx/8F+mEy1Yd2tOmD/gL9bVVH/rNzxwQKJdAWqTAbZ+Z7/LZ3h65s3+f81aL7nPxEZ1vsG5RhzQ5e+ZyJJEAUpDEqFRfnZCC6otpklqEFNhFAymw4+dcHcfqQyFUmyJSQiBtUuBiNftifLJnj3x96IDzltnw7mPaa/BbOimZI3kEkILkxaQaa4QUVGNUk9MmpMAuFkiBHT+kIAR+FJGfQFqlwG3Vf+oGaH/es3t2QvLbdV+MT3UuFfPKkRwCSEFyYlHNNUEKqjm68bcNKbCLAVJgxw8pCIEfRVS3FJjWTerX5gN9ctO+vc5SpmYQ0fnaY/Bx7TlYrj0IHPETQArij0EWaoAUZCHK8bURKbBjjxTY8UMKQuBHEdUvBW4LzXyD2/f36D4HvTKqq3I1qx6YuQYfbu9kJ+2Y/yEgBTEHICO3RwoyEuiYmokU2IFHCuz4IQUh8KOI7EiB29LXdU+OT+3bI48NDThvHaQT9c0qRb+nqxUxFTmefxFIQTzcs3ZXpCBrEa9se5ECO95IgR0/pCAEfhSRPSlwW/zM6JB8onuPvKCb95njGN2L4zNdB8k7GltIiwoTQAoqDDyjt0MKMhr4CjUbKbADjRTY8UMKQuBHEdmVAtPyKf36Z90d+a9698juiQkHxjk63+ATi5ewV0cF/3EgBRWEneFbIQUZDn4Fmo4U2EFGCuz4IQUh8KOIbEuB2/ohnW9wl843uEfnGwyrKjTovh8fbGuXqzuW6AZ/DCqK+t8JUhA1Yco3BJAC8iBKAkiBHV2kwI4fUhACP4pACrwEdk6My6d1vsEjgwNOL0KXbgR4rYrB76sg1JEskRFACiJDS8EeAkgB6RAlAaTAji5SYMcPKQiBH0UgBUEEnhsdlr/Qzc/MqzmOqm+Uzx203HnlCJ8AUhA+U0qcTwApICuiJIAU2NFFCuz4IQUh8KMIpCAfgUcG+2WjysEvdX8Dc1y+aLF8THsOOMIlgBSEy5PSggkgBWRGlASQAju6SIEdP6QgBH4UgRQUyoH+ySn55L7d8pBOSDbHYfUNcmfXMjmpiV2RC7Er9vdIQbGkOM+GAFJgQ49rCxFACgoRyv97pMCOH1IQAj+KQAqKzYHvDA/JNT275Be6z4E51i/skGt1laImdjcoFmHO85ACa4QUUAQBpKAISJxSNgGkoGx0zoVIgR0/pCAEfhSBFJSSA2ZX5Bv37ZX7BvY7E5FNr8HdS5bL8Y1NpRTDuT4CSAEpUQkCSEElKGf3HkiBXeyRAjt+SEEI/CgCKSgnB8zGZx/eO91rYFYl+lPtNbhe5xqYpUw5SieAFJTOjCtKJ4AUlM6MK4ongBQUzyroTKTAjh9SEAI/ikAKys0Bs5/BZ3r2ypcGemVSC3mr9hrcRa9BWTiRgrKwcVGJBJCCEoFxekkEkIKScM07GSmw44cUhMCPIpAC2xwwy5Zeob0Gr46POb0Gl+kKRde2d9FrUAJYpKAEWJxaNgGkoGx0XFgEAaSgCEh5TkEK7PghBSHwowikIIwcGNFeg1t0rsEX+nvFLF5Kr0FpVJGC0nhxdnkEkILyuHFVcQSQguI45ToLKbDjhxSEwI8ikIIwc+CF0RHtNdgpP5npNfjQwsXy0Y4uqWeuQV7MSEGYWUhZuQggBeRGlASQAju6SIEdP6QgBH4UgRSEnQNjU1Nya2+33N2/T8zipUc2NMjnlqyQYxrYDTnnw1pLvdSqOPUNjoUdDsqDwCwBpIBkiJIAUmBHFymw44cUhMCPIpCCqHLgB2OjcvneHfLy2JjU603Mbsj/U+ca0Gswnzg9BVFlIeV6CSAF5EOUBJACO7pIgR0/pCAEfhSBFESZA+Paa/BZ7TG4Q3sO6DXITRopiDILKdslgBSQC1ESQArs6CIFdvyQghD4UQRSUIkceNnpNdgppvfA9Bp8ZFGnXNneSa/BDHykoBJZyD2QAnIgSgJIgR1dpMCOH1IQAj+KQAoqlQOmp+Duvn3yt9prMKqrFZm5Bpt0rsGRzDUQpKBSWZjt+yAF2Y5/1K1HCuwIIwV2/JCCEPhRBFJQ6RwwKxNdsWenvDA24vQaXKWrE31Yew7M91k9kIKsRr6y7UYKKss7a3dDCuwijhTY8UMKQuBHEUhBHDlgdkA2exrcrHsbmD0OzMpEn9PdkLPaa4AUxJGF2bsnUpC9mFeyxUiBHW2kYIbfg498U268/X7npyWd7bLl4TtmyV694S55Yss25+fjVh0umzdtmEN9R/eQXRS4GgJ5CJiHtRpdKrKfpSIjyUlqTn0AACAASURBVBOzC7LZDdnsitygnK/W1YnMKkVZ6zVACiJJLwr1EUAKSIkoCSAFdnSRAuV3y90Pyb2bvy4vPnnvPJpGFu6579FZSVizbqOccuIquXb9hbPnIgV2ScjV+QkgBZXJkL8f6JUbe6Z7DY5vaJLbli6To+qzs68BUlCZPMv6XZCCrGdAtO1HCuz4IgXK79gz1srjD9wkh648eB5NvwT4JcFcgBTYJSFXIwVJyYFfTIzJh/fskme018D0FKzX3ZCv0fkGpgeh2g+koNojnIz2IQXJiEO11gIpsIts5qXgqa3b5eN//UXZ27N/luRZp58it228wvn59AuulMsuPU8uOv9M52dz/rrrbp3Tq4AU2CUhVyMFScuBz+kKRZ/p3etU67D6Bvls1zI5uak5adUMtT5IQag4KSwHAaSA1IiSAFJgRzfzUuDOJfAOHTI9B2vXnO0METLf33DVJfOkwNuzMDJmpixyQCAaAnW1NTqnQGR8YiqaG1BqIIHnhoblwtd+Lj/X3ZDr9IyrlyyVDQcfVJW9BhOTU9JYX0ue8W8hcgL8PYsccaZv0NRQm+n22zYeKfDNGTBAzcRic5jegmJ6Crr7Rm3jwPUQyEmgpanOeVgbHJ6AUoUJ9E9Nyp/9cpdsHuhz7nyUrlC0adlKObaxqcI1ifZ2UzqPYkGTmdBOnkVLmtJbGvXvmT638feMXIiCQNei7MwDi4Jf5qUgaDiQVwqYUxBF2lFmKQSYaFwKrWjO/dbwoK5QtFN6JyednoKP6gpFH9IViqrpMymGD0WTO5Q6lwDDh8iIKAkwfMiObualwOAzvQHnvvedznCh197YLedcfL1suvkaOe3U1cLqQ3YJxtX2BJACe4ZhlNA9OSFX6tKlRhDMYVYo+sJBy+WQuoYwio+9DKQg9hBkogJIQSbCHFsjkQI79EjBDD8zd8A9vHMIzHvsU2CXZFxtRwApsOMX9tX/dKBf/qJnt/RPTUmL1MgNi5fK2oXtYd+m4uUhBRVHnskbIgWZDHvFGo0U2KFGCuz4OVez+lAIECkiJwGkIHnJsXtiQi7X4URPj0xvXPjOphZnN+SD68yU5HQeSEE645a2WiMFaYtYuuqLFNjFCymw44cUhMCPIvITQAqSmyFmw7PP6IZnQzpRd6HONfh058Hy260Lk1vhPDVDClIZttRVGilIXchSVWGkwC5cSIEdP6QgBH4UgRSkOQdeHR+T9Xt2ygtjI04zfqN5gdylvQYdtemahowUpDkL01N3pCA9sUpjTZECu6ghBXb8kIIQ+FEEUpD2HDA7lZgNz/5GNzwb1++7VAjuUDEwgpCWAylIS6TSXU+kIN3xS3rtkQK7CCEFdvyQghD4UQRSUC058PLYqKzbu0Ne1g3PzPG7OpToRh1S1GY2AEj4gRQkPEBVUj2koEoCmdBmIAV2gUEK7PghBSHwowikoJpyYFxXJbpp/165p69XTA+CmXy8aelyeUdjS6KbiRQkOjxVUzmkoGpCmciGIAV2YUEK7PghBSHwowikoBpz4LnRYVmvKxT9YnxcFy4V+cO2Drmhc4k0OT8l70AKkheTaqwRUlCNUU1Om5ACu1ggBXb8kIIQ+FEEUlCtOTCsqxL9Zc8e+YeB/U4TD6tvkLt1rsHxjU2JazJSkLiQVGWFkIKqDGtiGoUU2IUCKbDjhxSEwI8ikIJqz4GnR4Z1X4MdYvY3MDsZXL5osVzT3iX1CZprgBRUexYmo31IQTLiUK21QArsIosU2PFDCkLgRxFIQRZyYEDnGvx59y55eHDAae6RDQ3yxaUr5a3ae5CEAylIQhSqvw5IQfXHOM4WIgV29JECO35IQQj8KAIpyFIOPDF0QK5WOeidnJRGnV9wbccSuWxRh8S9qwFSkKUsjK+tSEF87LNwZ6TALspIgR0/pCAEfhSBFGQtB7onJ+TKvbvkW8ODTtPf3tgsdy9dJofUxddrgBRkLQvjaS9SEA/3rNwVKbCLNFJgxw8pCIEfRSAFWc2Brwz2yye6d0u/Di1aUFMrn1i8RC5pa48FB1IQC/bM3RQpyFzIK9pgpMAON1Jgxw8pCIEfRSAFWc4BM/l43Z4d8owuYWqOdza1aK/Bcllaa6YkV+5ACirHOst3QgqyHP3o244U2DFGCuz4IQUh8KMIpCDrOTClAL400Cuf7tkrZhnT9tpa+bTuhPxbC9oqhgYpqBjqTN8IKch0+CNvPFJghxgpsOOHFITAjyKQAnJgmsCr42Oyfs9OeWFsxPn5rJZWua1rmXSoJER9IAVRE6Z8QwApIA+iJIAU2NGNXQqOPWNtyS04btXhsnnThpKvi+qCHd1DURVNuRAQ87BWo+vZ9w+OQSMDBCa1jXf17ZNbe/fKuH7fpULwuSUr5D3NLZG2HimIFC+FzxBACkiFKAkgBXZ0EyEFLz55b9GtePCRb8ojjz+FFBRNjBPTTgApSHsEy6v/y2Oj8sc61+An2ntgjgtbF8qnOg9yJiRHcSAFUVClTD8BpICciJIAUmBHFymw4+dcTU9BCBApIicBpCC7yTGmqxLdvH+v3NPXK6YHYUVdvXxely59R2P4vQZIQXbzrJItRwoqSTt790IK7GKOFNjxQwpC4EcR+QkgBWTIc7oy0fq9O+UX4+O63ZnIB9s65GOdS6TJ+SmcAykIhyOlFPh71lwvtbU10sdwSFIlAgJIgR3U2KXArvrJuJqegmTEoVprgRRUa2RLa5dZlWhjzx65b2C/c+Fh9Q3yd0tXyDENjaUVlONspCAUjBRSgAA9BaRIlASQAju6qZACdzJyKXMP7LCUdjVSUBovzi6NAFJQGq9qP/vpEe010LkGe3RX5Hpt7IcXdcpVHV3O9zYHUmBDj2uLJYAUFEuK88ohgBSUQ+3NaxIrBWZC8Y233z9b08cfuEkOXXmwXWsjuhopiAgsxToEkAISwU+gb3JSPtazW/5lcMD5lektuEd7Dd6qvQflHkhBueS4rhQCSEEptDi3VAJIQanE5p6fOCm4esNd8sSWbbO13HTzNXLaqavtWhnx1UhBxIAzXjxSkPEEyNP8J4YOyNXdu6RXJcHML7h+cZf8ycLFUs76REgBeVYJAkhBJShn9x5IgV3sEyMF3v0KbrjqErno/DPFvIcU2AWYq9NPAClIfwyjbEG3DiO6cu8u+dbwoHObtzc2yxeWLndWKirlQApKocW55RJACsolx3XFEEAKiqGU+5xESEGuOQNIgV1wubo6CCAF1RHHqFux+UC/bNAhRf26jGmr7mXwyc6l8vuti4q+LVJQNCpOtCCAFFjA49KCBJCCgojynpAYKVjS2S5bHr5jTmWRArvgcnV1EEAKqiOOlWjFjolx+dCenfKMLmFqDrML8p1LlsvS2rqCt0cKCiLihBAIIAUhQKSInASQArvkSIQUmCZ4hw+5Q4aQArvgcnV1EEAKqiOOlWrFlN7o7wd65TM9e8UsY7pI14S/o2u5nNXSmrcKSEGlIpTt+yAF2Y5/1K1HCuwIJ0YK3GYw0dguoFxdfQSQguqLaSVa9LPxMblCNzx7fnTEud0ftLXL9R1LpL02eBoyUlCJqHAPpIAciJIAUmBHN3FS4DbHuyRp0NAiu2aHezWrD4XLk9LmEkAKyIhyCUzqhXf27ZO/7d0r4/p9lwrBpzoPkg8sWDivSKSgXMpcVwoBpKAUWpxbKgGkoFRic89PrBR4q8nmZXZB5up0E0AK0h2/JNT+pbFRZ+nS7830GvxO60K5tn2JvKX+zRWKkIIkRKr664AUVH+M42whUmBHP3YpMA/8pexUbHoQHnn8Kdm8aYNdy0O8mp6CEGFSVOAnuDU1NdI/OAYdCJRNwPQafKG/V27ZNz3XwOxrsH5Rh3xEd0M23yMFZaPlwhIIIAUlwOLUkgkgBSUjm3MBUuDjd/oFV8qypZ1zpMM7z+G4VYfPExKkwC4JuTo/AXoKyJAwCezUFYo+sW+PfG1mN+SVup/BBl2+dE1nh9SqfPYhn2HipiwfAaSAlIiSAFJgRxcp8PAzQmAOrxSYnol77nt0drnUNes2yiknrpJr1184eyVSYJeEXI0UkAOVJ/CfI0Nyffdu+bFOSDbHu1sWyGeXr5Bl4zWVrwx3zAwBpCAzoY6loUiBHfZESEGpTQj6tL7UMvznm4f98885TV7fuUe2Pf/SbG+AXwL8kmDKQQps6XN9PgL0FJAfURGY0ILv1eVLzZAis+mZmWHwB20dct3iJdKmvQYcEAibAFIQNlHK8xJACuzyIXYpsKt+OFd7H/xvufuhOVJgeg8uu/Q8uej8M52bPbV1u6y77tY58yCQgnDiQCnBBJACMiNqAj2Tk3Jzf7d8eX+vzjYQWaKbnf25isEa3REZNYiafrbKRwqyFe9KtxYpsCOeeSkw8wXMcdvGK5xXvxSYidA3XHXJPCl4/IGb5NCVBzvXTEyY/41yhEqAJ5FZnA4K/Y9+kMsBgUgIjI5NSlNjrbwwNCwf/Pnr8uzwkHOfk3RH5HsOXSkntbREcl8KzR4B/p4lMOZV9P+WujoeHmwyLPNSYHoC9vbsn8fQ3RuhmJ6CXfum/wfKESKBKvojZUultaVenaBGBoZYfciWJdfnIKD/3kyeORONNc++cqBfPt2zR/ZMTjg9BWt0CdO/WHyQdNYFb3wGVwgUS6C1eTrP+vl7Viyy6M+roufoZYv5AMMmYTIvBX54/p4C5hTYpBfXhkGA4UNhUKSMQgT8S5IOTk3KLb3d8ve6jKnZ+GyhPsh9VHdE/sOFHVJXqDB+D4EcBBg+RGpESYDhQ3Z0kQIfP78UsPqQXYJxtT0BpMCeISUUJpBrn4Kf6epEH9VVisxqReZ4W32D3NR1sPx6E5/IFabKGX4CSAE5ESUBpMCOLlJQQArMr9mnwC7JuNqOAFJgx4+riyNQaPOyrw8dkI06pOi1ielhbO9b0CZ/uXipLNd9DjggUCwBpKBYUpxXDgGkoBxqb16DFNjxc65m9aEQIFJETgJIAclRCQKFpMDUYVTXJvp83z65q7dHhvT7Zp1xcEVHp1y+aLE0sk5RJcKU+nsgBakPYaIbgBTYhQcpsOOHFITAjyLyE0AKyJBKEChGCtx6mF2RP6m9Bo8NDThvHVJfL5/sWCpna+8BBwTyEUAKyI8oCSAFdnSRAjt+SEEI/CgCKSAH4idQihS4tX1mdEg+uvfNXZHNPIO/0fkGh+u8Aw4IBBFACsiLKAkgBXZ0kQI7fkhBCPwoAikgB+InUI4UuLW+b2C//FXvHumbnF5L+IO6K/Jfdi6Nv1HUIHEEkILEhaSqKoQU2IUTKbDjhxSEwI8ikAJyIH4CNlJgam92Rb5JxeDLA31OY8yuyB/t6JJL2trjbxw1SAwBpCAxoajKiiAFdmFFCuz4IQUh8KMIpIAciJ+ArRS4LfjB2Kh8vPuXslWHFpnjyIYGub1ruZzQ2BR/I6lB7ASQgthDUNUVQArswosU2PFDCkLgRxFIATkQP4GwpMBtyVd1EvKNPXtnlzA9vqFJPtze6SxlypFdAkhBdmNfiZYjBXaUkQI7fkhBCPwoAikgB+InELYUuC36ku6IfPv+Htk7OeG8dXR9o1y5uEv+ewtyEH/UK18DpKDyzLN0R6TALtpIgR0/pCAEfhSBFJAD8ROISgpMy8z+Bg/075e7+npk18S0HByhw4qubF8iH9Ceg9r4m08NKkQAKagQ6IzeBimwCzxSYMcPKQiBH0UgBeRA/ASilAK3dUYO/rG/z5EDs9eBOQ7T5UvNsKLfaV0k7I0cfx5EXQOkIGrC2S4fKbCLP1Jgxw8pCIEfRSAF5ED8BCohBW4rx6e05+BAn9ypw4pcOXiLboB2xaJOucjIQU1N/ECoQSQEkIJIsFLoDAGkwC4VkAI7fkhBCPwoAikgB+InUEkp8MrBP87IwY6ZnoNldXXyIe05+B+6lGmTIAfxZ0a4NUAKwuVJaXMJIAV2GYEU2PFDCkLgRxFIATkQP4E4pMArBw/OyMEbM3Jg9jlYpz0HaxcukgU1zDqIP0PCqQFSEA5HSgkmgBTYZQZSYMcPKQiBH0UgBeRA/ATilIJZOdBvHtLdke/UOQevj0/POVhcWyt/onLwR7pL8sJaeg7izxS7GiAFdvy4Oj8BpMAuQ5ACO35IQQj8KAIpIAfiJ5AEKfDKwWbdGfmzfd2zcrBQ5xn80cIOuUwFYZGKAkc6CSAF6YxbWmqNFNhFCimw44cUhMCPIpACciB+AkmSAq8cfEWHFX12f7f8YqbnoFWHEl3atkjW67yDLh1ixJEuAkhBuuKVttoiBXYRQwrs+CEFIfCjCKSAHIifQBKlwEvlIZWD2z1ysLyuXs7VPQ4uVzlYihzEn0BF1gApKBIUp5VFACkoC9vsRUiBHT+kIAR+FIEUkAPxE0i6FLiEzGpF3p4D8/41HV3y2wsWyq/ongccySaAFCQ7PmmvHVJgF0GkwI4fUhACP4pACsiB+AmkRQpcUv8+dEC+3N8r/3d4cBbeu5qa5WKdd3C+CgJHMgkgBcmMS7XUCimwiyRSYMcPKQiBH0UgBeRA/ATSJgUuMbO/wX19vfLlA/tl3+Sk87YZTnSRzju4RAVhhQ4z4kgOAaQgObGoxpogBXZRRQrs+CEFIfCjCKSAHIifQFqlwCU3prskP6a9B/f27ZNto8PO22aNojOaF8ilKgdntrQ6P3PESwApiJd/td8dKbCLMFJgxw8pCIEfRSAF5ED8BNIuBV6CPxoflf+1f5/8y4F+GZIp51emx+Dihe3OTslmYzSOeAggBfFwz8pdkQK7SCMFdvyQghD4UQRSQA7ET6CapMCl2a+9B5t1M7R/0LkHPx0fc942g4neq6sWXaqbob2nuUXYDq2yuYcUVJZ31u6GFNhFHCmw44cUhMCPIpACciB+AtUoBV6q/zE8JPf275P/o0OMJmZ+8St1Dc68AzP/oIMN0SqShEhBRTBn9iZIgV3okQI7fkhBCPwoAikgB+InUO1S4BI2E5NNz8GD2oPQPTMxuUF3Sz5X5xwYQfi1ppb4g1HFNUAKqji4CWgaUmAXBKTAjh9SEAI/ikAKyIH4CWRFClzS7sTkL2nvwX+NTE9MNseRDdO9B7/X2i5tKgsc4RJACsLlSWlzCSAFdhmBFNjxQwpC4EcRSAE5ED+BrEmBl/iLY6PyJV216EHdGM09mnS2wR8v6pD36fyDExub4w9QldQAKaiSQCa0GUiBXWCQAjt+SEEI/CgCKSAH4ieQZSlw6ffpcKKvqBh8SYcXvTozMdn8bnVDk7Nr8sk6tKiTuQdWyYoUWOHj4gIEkAK7FEEK7PghBSHwowikgByInwBSMDcGT+nE5K8N9stj+uXOPTBn/Fpji7y/rU3nICyUg+tY2rTUzEUKSiXG+aUQQApKoTX/XKTAjh9SEAI/ikAKyIH4CSAFuWOwdXRIvjowIP+qgrBn0l27SLTnoFnOUTk4T4cYraxn5+RishgpKIYS55RLACkol9z0dUiBHT+kIAR+FIEUkAPxE0AKCsfAbIO2TQXhURWErw31y66JNwXBDDF6f+tCOVcF4fD6hsKFZfQMpCCjga9Qs5ECO9BIgR0/pCAEfhSBFJAD8RNACkqLgRGEZ1QQ/k0F4asqCLs9gmBWMHq/9iAYSTi6obG0gqv8bKSgygMcc/OQArsAIAXK7/QLrpS9PftnSW66+Ro57dTVsz9fveEueWLLNufn41YdLps3bZhDfUf3kF0UuBoCeQiYh7UaXRqxf3B6R1YOCERBACkon6oRhK0jQ/LYgQFnDsIvPUOMTK+BWcHo/QsWygmNTeXfpEquRAqqJJAJbQZSYBeYzEvBa2/sltu+8E9y28YrHJIPPvJNufH2++XFJ++d/fme+x6VLQ/f4fy8Zt1GOeXEVXLt+gtnySMFdknI1fkJIAVkSCUIIAXhUHYF4d9UDr6qkuAVhLfovINzWlQQWtvkFJ2wnMVdEJCCcPKMUoIJIAV2mZF5KfDjM5JwzsXXy+MP3CSHrjx4ngQYafBKgrkeKbBLQq5GCsiB+AkgBeHHwBWERw+oIAwOzJmkfFBt3XQPgg4xMrsoZ2UdI6Qg/DyjxDcJIAV22YAU+Pg9tXW7rLvu1tmeAjO06LJLz5OLzj/TOdP/e/Pezh6GD9mlIVfnI9DaPD18aGCI4UNkSjQEpvTp1ZWCfvIsGsha6tO6c/KjA33yqPYi7NM9EdyjXfc+WNO2SH5ThxgdpXMQFlfxXgitTfVSW6vDIcmzyPIsywUv72zJcvOt244U+BAaCTj3ve+cHR507Blr5YarLpknBW5Pgrnc/A+VAwJREVAfcA7yLCrClDs2MSmN9bXkWQVT4Vs6Qfkr+/bLP/f2SrdnkrKpwikLWuR9CxfJiQua5QzdE6GjivZD4O9ZBZMsg7dy8yuDTQ+lyUiBB6MRgpNWHzE7v8D8qpieAoYPhZKLFJKDAHMKSI1KEGD4UCUoB9/jO7pR2jeGBuS7w4Py4tjovJPMBOV3N7foV6v8ur42p3g2AsOH4suzLNyZ4UN2UUYKZvgFCYH5lX9iMXMK7BKOq0sngBSUzowrSieAFJTOLIorBrRL0Kxk9O2hA/KUSsIPAiTBzEH4by0LHFF4h05YTtOBFKQpWumrK1JgFzOkQPmZIUJr15w9Z0UhF6tfAlh9yC7huLp0AkhB6cy4onQCSEHpzCpxhZl78J2RwRlJGJJXx+fOLWrT8RJGEt7T0iqnNS9w5iQkeVUjpKASWZPdeyAFdrHPvBS4S5D6MZ51+imzw4jYp8AuybjajgBSYMePq4sjgBQUxynus3ZOjMt/6HCjb+twIzPsyLvkqalbl05SfnfTAnnPAiMJLXJoXbJ2V0YK4s6g6r4/UmAX38xLgR2+6auZUxAGRcrIRQApIDcqQQApqATl8O/xytiYDjOaHmr0Xe1R6Jucu/LFIbo3wmkqCafpcKP3aE9Cly6FGueBFMRJv/rvjRTYxRgpsOOHFITAjyLyE0AKyJBKEEAKKkE52nuYRU63j444gvBtFYV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"autorange": true,
"domain": [
0,
1
],
"range": [
0,
199
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
5.575412188433365,
82.92780281273757
],
"title": {
"text": "[A]"
},
"type": "linear"
}
}
},
"image/png": 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""
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"source": [
"# Do several round of diffusion, over relatively small times\n",
"for _ in range(5):\n",
" bio.diffuse(total_duration=20, n_steps=1000)\n",
" bio.visualize_system(show=True)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "b170f751-a135-4cc6-9d4b-2b1c45b17652",
"metadata": {},
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",
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"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "System snapshot at time t=1000"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
199
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
40.37226972064778,
49.19769745328885
],
"title": {
"text": "[A]"
},
"type": "linear"
}
}
},
"image/png": 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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Do more rounds of diffusion, over large times spans\n",
"for _ in range(9):\n",
" bio.diffuse(total_duration=300, n_steps=10000)\n",
" bio.visualize_system(show=True)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "09650e97-ced8-4744-849f-93845239c11b",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
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"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
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"colorbar": {
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"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"type": "heatmap",
"xaxis": "x",
"xgap": 0,
"y": [
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],
"yaxis": "y",
"ygap": 2,
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show as heatmap\n",
"bio.system_heatmaps()"
]
},
{
"cell_type": "markdown",
"id": "f88981df-183f-4104-9464-25736a5f5c23",
"metadata": {},
"source": [
"The system is **approaching equilibrium** at a value a little less than 45. \n",
"\n",
"That's consisten with the contribution from: \n",
"1) a slightly truncated bell curve (whose total un-truncated area underneath is 1, multiplied by the \"amplitude\" factor of 20)\n",
"2) the 50-0 gradient (with average value 25)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "ee1c169c",
"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
}