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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 = \"1.0.0.rc.0\" # Library version this experiment is based on"
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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",
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"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"
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"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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"execution_count": 5,
"id": "c984f746-d373-4a8a-89a4-9c3f0a3fca69",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visualize the system state so far\n",
"bio.visualize_system(caption=\"Preparations in progress\")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"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": 8,
"id": "96abe826-ae22-4266-a9b1-4adcd8370a87",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Bin number=%{x}
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"legendgroup": "",
"line": {
"color": "#636efa",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visualize the complete initial state\n",
"bio.visualize_system()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "851344d7-9da7-4cd0-b809-62bd7047fb25",
"metadata": {},
"outputs": [
{
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""
]
},
"metadata": {},
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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()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "b170f751-a135-4cc6-9d4b-2b1c45b17652",
"metadata": {},
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ABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5CObeaFWEIAABCAAAQhAAAIQKBwB5KNwKaVBEIAABCAAAQhAAAIQyCYB5COFvJwav5FCFEJAIDmB9SsXyplLN6ReT16WEhCwEli0YJ7MH63IxNXb1lCUh4AXgbXLx+Ti5E25c5c/gl4AKeRF4L5VC73KUahJAPlIoScgHylAJIQXAeTDCxuFUiKAfKQEkjDeBJAPb3QUNBBAPgzwkA8bvKA08pEOR6IkJ4B8JGdGifQIIB/psSSSHwHkw48bpWwEkA8bP0Y+bPwapZGPFCASwosA8uGFjUIpEUA+UgJJGG8CyIc3OgoaCCAfBniuKPJh44d8pMCPEP4EkA9/dpS0E0A+7AyJYCOAfNj4UdqPAPLhxy0ohXzY+CEfKfAjhD8B5MOfHSXtBJAPO0Mi2AggHzZ+lPYjgHz4cUM+bNxmlWbaVYowCZWIAPKRCBcnp0wA+UgZKOESE0A+EiOjQAoEkA8bREY+bPwY+UiBHyH8CSAf/uwoaSeAfNgZEsFGAPmw8aO0HwHkw48bIx82bjOlP/0Ht6VSEZk3L/QYqbnvK6Gf1WU08v3IiDvf7Y8/Oq/eOq/xM5HR6a/z3HPN89xjxJ076r6v1mX+fJGxMbdgx12Xo9wEkI9y53/YrUc+hp0Bro980AeGQQD5sFFn5MPGTz7xL4d3cy0VkEXucc/iuixZ7P59T/Pr4uCxqD79byc/TmA4ikcA+SheTvPUIuQjT9kqZl2Rj2LmNeutQj5sGUI+bPykVhM5fvaG3LlTcQ9p3GX19u3pf+v3d+ruZ/p982d39Xv99133nPOW29Nfm2Vn/+zu3epMmeZ5zRg3b9VlairZsMcCJymL7xFZ4h5NWXFi4mQlEJWmuFRk8aKajLhRGo58EEA+8pGnotYS+ShqZvPTLuQjP7kqUk2RD1s2kQ8bv0bpYSw4r9fFCYjIDfeYnBS5eq0i19xj8qrIdffQr/qzq9NfVVp6PRZNj5jcs0iFxQnKkuZXHVW5x8nLUvf98mUiC8ZcJTiGSgD5GCr+0l8c+Sh9Fxg6AORj6CkoZQWQD1vakQ8bv6HJR9Jq37ghTk6ckKiMXHVScr0lJpOT9cbPVF6uunN0NKeXY8zJx4rlIqtXiaxa7R4ra7LK/XvNyroTk14icI6VAPJhJUh5CwHkw0KPsmkQQD7SoEiMpASQj6TEZp+PfNj45UY+kjTz2vVpQbnqpERHVGZGUVROKnL5Sl2uXK42pn+1O3R0ZNWqeuOxeqUTlDXTcuL+zZEeAeQjPZZESk4A+UjOjBLpEkA+0uVJtN4IIB+9cWp3FvJh41dI+egVyTU3enLposgFfYxXZXxcv4qMX2iuaYk7qtXpkRI3SrJ6dWVmtEQlRdekcCQjgHwk48XZ6RJAPtLlSbTkBJCP5MwoYSeAfNgYIh82fqWWj07oLl1yEnKx2pSRixW5cKH5dWKifamFbq3JmlVOSHTExE3daoyauO9Xr3KL4N2WwxxzCSAf9IphEkA+hkmfaysB5IN+MAwCyIeNOvJh44d8JOR32+3w1ZQR9xivu9ESJyhu5ERHTTrt4LVihVtL4iRE15SsdlKybq170VlXk7EF5d6ZC/lI2AE5PVUCyEeqOAnmQQD58IBGETMB5MOGEPmw8UM+UuAXhNBF7zpScn684qZuNSVlXP/t5ER394o7Vro1JBvW12XDhrrcd29N7rtPGjdhLMuBfJQl09lsJ/KRzbyUqVbIR5mynZ22Ih+2XCAfNn7IRwr8uoVQ8VAJUTG54L6eP1+Rs+dEzpyrSC1mbcm6dSoi7uFEZMN97quTE11rUsQD+ShiVvPTJuQjP7kqak2Rj6JmNtvtQj5s+UE+bPyQjxT4WUKcOVuRU6dETp7Wr+7hvsaNkjQkxD0aoyROSlRQinAgH0XIYn7bgHzkN3dFqTnyUZRM5qsdyIctX8iHjR/ykQK/NEPcdfcoOT0tIidVRs6InHWCEj1GR5vTte7bMD064qZs6XqSvB3IR94yVqz6Ih/FymceW4N85DFr+a8z8mHLIfJh44d8pMCv3yFu3qzL6TNVOelGSE6d0q8Vueh244oei9wd3XWEZH1jypaOkNRl2dJ+184WH/mw8aO0jQDyYeNHaTsB5MPOkAjJCSAfyZmFSyAfNn7IRwr8hhFC71Fy8qQbJTnjvjoZUTGZnJw7QrJkSVNCNqyXmTUki9yWwFk5kI+sZKKc9UA+ypn3LLUa+chSNspTF+TDlmvkw8YP+UiBX1ZCXL7sRkZOV1trSNz0revubu/RY5XbYWvjxrps3uQe7usw148gH1npPeWsB/JRzrxnqdXIR5ayUZ66IB+2XCMfNn7IRwr8shxCt/vVUREdHTmtU7ZOi+i9SsLHksV12XK/yANb3Nct7s7tA1w7gnxkufcUv27IR/FznPUWIh9Zz1Ax64d82PKKfNj4IR8p8MtbiFNuqtZ7Jypy/IS4h7tr++XZ07VWrFAZqTsZaQrJsqX9m6aFfOSt9xSrvshHsfKZx9YgH3nMWv7rjHzYcoh82PghHynwy3uI8+6GiEePVuXIsYocOSKi60nCx9q1TRnZ6h5bnJCkuWYE+ch778l3/ZGPfOevCLVHPoqQxfy1Afmw5Qz5sPFDPlLgV7QQOjJy9IgTEScjR49W5Oat2S3ULX63uBGR5jStusx32/76HsiHLznKpUEA+UiDIjEsBJAPCz3K+hJAPnzJNcshHzZ+yEcK/IoeQqdmqYQcOeZGR46K1Ny9SMLHls0iWx5wMnJ/rSEjc/fcak8I+Sh678l2+5CPbOenDLVDPsqQ5ey1Efmw5QT5sPFDPlLgV6YQtbviJMQ9pqdpnXBiEj5GRnSdSK25XsRN09JdtTodyEeZek/22op8ZC8nZasR8lG2jGejvciHLQ/Ih40f8pECvzKHmLrp1ovoWhE3MqKjI3rfkfAxNqYjIs21IjpN6951s2UE+Shz7xl+25GP4eeg7DVAPsreA4bTfuTDxh35sPFDPlLgR4gWgavXVEJ0ZKQ5TeuCW8wePpYsaY6INKdp1WXPtjE5c+mG1Pu3oRbpgUBbAsgHnWPYBJCPYWegnNdHPmx5Rz5s/JCPFPgRoj2BiQmVkOY0LR0hmZiYfe6a1RW3k9Zd2fagyIMP1kyL18kDBJISQD6SEuP8tAkgH2kTJV4vBJCPXii1Pwf5CLF58Vvfk69/51V54XOfkGeefnIWtd1PPTvz/ac++kF57uMfnvn+1PgNWxYoDYEeCZw735ymddSNiug0ravXZhfcvq0mO7aJ7NhekxUregzKaRDwJIB8eIKjWGoEkI/UUBIoAQHkIwGsmFORj2koKh4v/+DHcnFicpZ8vHngXfnIp78oUeEIs0Q+bJ2Q0v4Ebl4dk5+/fksOH3Yycnx2nA0b6vKQysgOkfvc9r4cEEibAPKRNlHiJSWAfCQlxvlpEEA+bBSRD8cvEI/XXnlRdIQjPPLxsc98RdatXiF//IefbEsa+bB1Qkr7EwgvOL/hbm749iFxj4ocPFSV27dbcVe6u64/tKP52OrWi3BAIA0CyEcaFIlhIYB8WOhR1pcA8uFLrlmu9PIRFg8FEpUP/X7l8iWNEZHg+O7XviCP7Nw68z3yYeuElPYn0G63q7pbga4C8vZBJyKHK3LlSmsXrYULVULc1KxtdTcqwjoRf/qURD7oA8MmgHwMOwPlvD7yYct7qeUjKh5R+QimXIVHQj7/pW/Iqz/6mez7yUsz5K9cD33EbMsHpSGQiMCShaMyeaN7/9ObG+5/2z3eEredb+sSFeckux6qyM6H67Lr4YosX8aoSKIElPzk0ZGqzBupyI1b7gY2HBAYAoHFY/Pk+s27UmPLvyHQL+8lly4aLW/jU2h5qeVDp1T9/JcHYjHqGo+nPvB4Y71HdKQjOjpy9cadFFJBCAgkJ7B44Ty5NnUn0Va7Z8+J7HMSsv+tuhx+d/Y1H7jfyYiTkF0Pi2xYn7w+lCgXgdF5ValWRW7eqpWr4bQ2MwQWOfmYunVHanTBzOSkDBXR114OfwKllo84bHHTrqK7X0XPYdqVfwekpI2A9SaDulvWwcbUrOYUrbuhD7DXrBbR3bN0nYje4JADAlECTLuiTwybANOuhp2Bcl6faVe2vCMfEX5xC84Pvfue6GJ0PXTa1U//+s2Z7/VnyIetE1Lan4BVPsJXrjnxeNtJyEFdtH6wKlevtp695x7dvtetEXFb+D7kHvPmzb4Tu38LKJlnAshHnrNXjLojH8XIY95agXzYMoZ8dJEPfTo8PUsXnwciEhRFPmydkNL+BNKUj2gtjh53IyJOQg4eFjl3riUbOs1GJWTHdmmIiN51naOcBJCPcuY9S61GPrKUjfLUBfmw5Rr5sPFrlEY+UoBICC8C/ZSPcIXOOvk42NjCtyLHnJSEj/s3T4+I7KjI2jVMvPZKZE4LIR85TVyBqo18FCiZOWoK8mFLFvJh44d8pMCPEP4EBiUf4RpOTlbkLSchhw669SJumlZ4oefaNSoizfuJqJRwFJsA8lHs/OahdchHHrJUvDoiH7acIh82fshHCvwI4U9gGPIRru0dXSfydvOmhrpW5Jq70WFwLFlSl50PucfDNXmwdVsc/8ZSMnMEkI/MpaR0FUI+SpfyTDQY+bClAfmw8UM+UuBHCH8Cw5aPaM2PHJletO7WilwYbz27eLHInl012b2LERH/bGevJPKRvZyUrUbIR9kyno32Ih+2PCAfNn7IRwr8COFPIGvyEW7JydMVOfBWVd5y9xQ5d741IrJ6lcju3TXZs7Mu69YxNcs/+8MviXwMPwdlrwHyUfYeMJz2Ix827siHjR/ykQI/QvgTyLJ8zBKRUxXZt18fVbk00Xpmw4a6GxFxd1ffWZMVy/05UHI4BJCP4XDnqi0CyAe9YRgEkA8bdeTDxg/5SIEfIfwJ5EU+wi18x91VXSVk74GKTN1ojYhsfcCJyG73cCMiYwsZEfHvFYMriXwMjjVXiieAfNAzhkEA+bBRRz5s/JCPFPgRwp9AHuUj3Nr9blrW3n1NGamHfGO3ExBdH7LbrROpcD9D/w7S55LIR58BE74rAeSjKyJO6AMB5MMGFfmw8UM+UuBHCH8CeZePoOW3bqmAuGlZB3TXrJZtLJiv60PctCy3Y5Zu4cuRLQLIR7byUcbaIB9lzPrw24x82HKAfNj4IR8p8COEP4GiyEeYwJVJJyL7qk5EKnL8REtEll09Iz0AACAASURBVC51IqI7ZrlRkc2bEBH/XpNeSeQjPZZE8iOAfPhxo5SNAPJh44d82PghHynwI4Q/gSLKR5jGufPTIyJuWlZ4x6y1a1REmtOy9MaGHMMhgHwMhztXbRFAPugNwyCAfNioIx82fshHCvwI4U+g6PIRJvPeexV5003N2u+mZl2+3HpmkxsF0UXqKiNLlyIi/r0peUnkIzkzSqRLAPlIlyfReiOAfPTGqd1ZyIeNH/KRAj9C+BMok3yEKR1+x03Lamzd63bMutl6ZtuDzRsZ6q5Zul6Eo78EkI/+8iV6dwLIR3dGnJE+AeTDxhT5sPFDPlLgRwh/AmWVj4CY7pClArLXjYbsd1/DR3Pb3prscjLC0R8CyEd/uBK1dwLIR++sODM9AsiHjSXyYeOHfKTAjxD+BMouH2FyU1Mie93aEJWRd95ticjYWPNGhjoi8uBWRMS/t80tiXykSZNYPgSQDx9qlLESQD5sBJEPGz/kIwV+hPAngHzEs7t8WbftdSMi+yry3smWiCxb5iTErQ95xI2K6N3VOWwEkA8bP0rbCSAfdoZESE4A+UjOLFwC+bDxQz5S4EcIfwLIR3d2Z8/qtCxdH1KVCxda569d15yWpSMia1Z3j8MZcwkgH/SKYRNAPoadgXJeH/mw5R35sPFDPlLgRwh/AshHMnbHjjcXqe91j6tXWyMi929ujojs2V2TxYuTxSzz2chHmbOfjbYjH9nIQ9lqgXzYMo582PghHynwI4Q/AeTDn53eSV3vqL7PTc26dbsVR++kvkdvZuhGREZH/eOXoSTyUYYsZ7uNyEe281PU2iEftswiHzZ+yEcK/AjhTwD58GcXlKzVWjcy3P9WazSkOiLyqFsb8siemmzfxvqQONLIh73/EcFGAPmw8aO0HwHkw49bUAr5sPFDPlLgRwh/AsiHP7u4ktevtxaqHznaEpGVK5yIPFqXxx+pycqViEjADvlIt/8RLTkB5CM5M0rYCSAfNobIh40f8pECP0L4E0A+/Nl1Kzl+UeSNN91d1feOyIXx1tnbt9Xk0Ufq8ph7lP1APsreA4bffuRj+DkoYw2QD1vWkQ8bP+QjBX6E8CeAfPizS1Ly3SMV+dWbVXnjjYrcddO09Fi40I2EPKojIjXZsL6cIoJ8JOlFnNsPAshHP6gSsxsB5KMboc7PIx82fshHCvwI4U8A+fBn51Ny6qaOhlTlV05CTrzXmpa1aaMbCXHTsh5107LGFvhEzmcZ5COfeStSrZGPImUzP21BPmy5Qj5s/JCPFPgRwp8A8uHPzlry5OmKGwlxIuKmZl2/3oxWrbqRECcgj7nHg1utV8h+eeQj+zkqeg2Rj6JnOJvtQz5seUE+bPyQjxT4EcKfAPLhzy7Nkioguj7k0GFnH9PH2jUtEVm2LM2rZScW8pGdXJS1JshHWTM/3HYjHzb+yIeNH/KRAj9C+BNAPvzZ9aPkxYsVeV3XhvyqIhcnWlfY+ZBbpO6mZemNDIt0IB9FymY+24J85DNvea818mHLIPJh44d8pMCPEP4EkA9/dv0u+ba7ieGv3LSsve4mhsGxdInMrA1Ztzb/IoJ89LsXEb8bAeSjGyGe7wcB5MNGFfmw8UM+UuBHCH8CyIc/u0GVvObuHfIrNxKiU7NOn2mJyANbdLvemtsxqy56Q8M8HshHHrNWrDojH8XKZ15ag3zYMoV82PghHynwI4Q/AeTDn90wSh47rqMhzW17b99u1mD+/IqTkLuN+4Zs3pyv0RDkYxi9iGuGCSAf9IdhEEA+bNSRDxs/5CMFfoTwJ4B8+LMbZsm7d6UhIa+/OSJHj7Zqct+9zS179bFoUfZFBPkYZi/i2koA+aAfDIMA8mGjjnzY+CEfKfAjhD8B5MOfXVZKnj3bHA153U3Lunq1NS3r0T1NCdE7qmf1QD6ympny1Av5KE+us9RS5MOWDeTDxg/5SIEfIfwJIB/+7LJYcv/+akNC3nq7JSErVohbF9JcG7JiRbZGQ5CPLPaictUJ+ShXvrPSWuTDlgnkw8YP+UiBHyH8CSAf/uyyXHLCbdOrd1LXbXsvXGjVdPu2ekNEHnGjIlk4kI8sZKHcdUA+yp3/YbUe+bCRRz5C/F781vfk6995VV743CfkmaefbDzz+S99Q1790c/mUN73k5dmfnZq/IYtC5SGgCcB5MMTXI6KvfNuc4H6627HrODQ9SA6JUtHQ9a7dSLDOpCPYZHnugEB5IO+MAwCyIeNOvIxzU/F4+Uf/NjdGGxyjnzsP3hMvv/SC21JIx+2TkhpfwLIhz+7vJWcmmpu16vrQ9472RKRTZuaEqLb9s6fP9hWIR+D5c3V5hJAPugVwyCAfNioIx+OXyAer73youx+6lnkw9anKD1AAsjHAGFn6FInnXw0RkPeEFEp0UPvFaLb9eq2vVsfGExlkY/BcOYq7QkgH/SOYRBAPmzUSy8fYfFQlHHyEZ52tXL5ElFJCR+MfNg6IaX9CSAf/uyKULLuZlzpaIiuDzn8Tms0ZO2ampuWpXdTr4neVb1fB/LRL7LE7ZUA8tErKc5LkwDyYaPZd/nQN/NJj21bNnSc5pQ0Xrvzo+IRJx/Rsh969vnGj8LTsKZuuU37OSAwBAJj80eE/jcE8Bm85NnzIn/9i7r8jXtcdAvWg+OxRyry6084EdnTkpO0qj9SrUjVPW7fye52wGm1lTjZJLBgdERuuf5XVxPngMCACOhrL4c/gYHIR3hxdreqqhD85Wu/GIh8fOwzX5Gf//JAbJU+9dEPynMf//Cc51754U/l+S9/U8Jtujh5q1uzeB4CfSGwYvF8mbh2y73w9iU8QXNKYP9bIr983Y2I7G01YNmyujzxeEWeeKwu69am0zB94zfPvQZfm+IDmHSIEiUpgWX3jMrVG7flLv6bFB3nGwisXDLgBXaGumaxaKnlIy4h0WlX0XPi5INpV1ns2uWoE9OuypFn31ZOXm3eSV3Xh+jNDINj6wPNBeq6Y1a16htdhGlX/uwomQ4Bpl2lw5EoyQgw7SoZr+jZyEeESFQ+fuOZ52at8dDvt2/dKN/+6mdnSiIftk5IaX8CyIc/u7KVPHJM14bobllVuXOn2foF7sM7XReiErJpY/LhM+SjbL0oe+1FPrKXkzLUCPmwZbnv8mGr3uBLR+VD13gcPnpypiLvf2LnLPHQJ5CPweeJKzYJIB/0hKQEbt+uu5sXjsgbbkTk2PHWaMiG++ryqNst631ORMYW9iYiyEdS+pyfNgHkI22ixOuFAPLRC6X252RCPoJF6UnWhtianW5p5CNdnkTrnQDy0TsrzpxL4IybiqU3L9Tdsq5eaz5fcT7SvIFh9y17kQ961bAJIB/DzkA5r4982PI+NPkI7iYeVP+7X/uCPLJzq601QyqNfAwJPJdl5IM+kBqBvXudiLhpWQcPtRaBrFvbHA3RmxguWTJ3NAT5SA0/gTwJIB+e4ChmIoB8mPDJwOUjusPUC5/7hDzz9JO2Vgy5NPIx5ASU+PKMfJQ4+X1q+vhFXaQ+0liofim0Ze+uh2vyqJOQXQ+3JAT56FMSCNszAeSjZ1ScmCIB5MMGc2DyEb7fR7CNbbedpWxNG1xp5GNwrLnSbALIBz2inwTeelt3yqrIvv2t0ZBly/RO6k5E3GPLxnkyf7QiE1dv97MaxIZAWwLIB51jGASQDxv1gchHuzUdyIcteZSGAPJBHxgEgcmrwU5ZFdF1IsGx/UGRX/+1imzfcdu0Ze8g2sA1ikkA+ShmXrPeKuTDlqGBycfK5UtmbVmr1UY+bMmjNASQD/rAoAnEbdk7tkAaIyG+W/YOug1crzgEkI/i5DJPLUE+bNkaiHwEohFUNVjngXzYkkdpCCAf9IFhEdB7hew/ME9ed3dSP3yktQ5kw3q3SN3dO+TxR0UW9rhl77DawHXzTwD5yH8O89gC5MOWtYHJR1BNFpzbEkZpCIQJIB/0h2ESCBacv/XOnekteytuy97WtKzH3E5ZOiKyfVtv9w0ZZlu4dj4JIB/5zFvea4182DI4cPkIqhveajduSpatWYMtzYLzwfLmai0CyAe9YZgE4na72rev2tiy9+2DLQlZubJ580LdtnfFCkRkmDkr2rWRj6JlNB/tQT5seRqafISrzU0GbUmkdHkJIB/lzX0WWt5pq91Ll9yWve7mhfoYH2/Vdsd2NyXLSciePUhIFnKY9zogH3nPYD7rj3zY8tZ3+VCxSHLnch0R+cvXfiHff+kFW8sGWJqRjwHC5lKzCCAfdIhhEuj1Ph+H33ES8kZTRoJj8T1ukXrjTuo1uXcdIjLMPOb52shHnrOX37ojH7bcIR82fo3SyEcKEAnhRQD58MJGoZQI9CofweVu3HD3DXE3L9R7h5w81ZqWdf9mXaTuRMStDxkdTalyhCkFAeSjFGnOXCORD1tKkA8bP+QjBX6E8CeAfPizo6SdQFL5CF/xxInWtKybN5vPzJtXcdv13nU3MazLlvsZDbFnqPgRkI/i5ziLLUQ+bFkZiHwkreK2LRuYdpUUGueXkgDyUcq0Z6bRFvkIGlGribzhRkJ+9eaIvPNuq2nr3FQsvZP6425EZPHizDSZimSMAPKRsYSUpDrIhy3RfZcPW/XyUZppV/nIUxFriXwUMav5aVMa8hFu7bnzKiK6PqQil6+0pmXt3uVExEnIwzucqXBAIEQA+aA7DIMA8mGjjnzY+DVKIx8pQCSEFwHkwwsbhVIikLZ8hKt14O2qvOEkZN+BloQsX9ZcG6IjImtWp9QIwuSaAPKR6/TltvLIhy11yIeNH/KRAj9C+BNAPvzZUdJOoJ/yEdTuyhVdG1JpjIicPdcSkW0Put2yHmmuD6m0fmxvFBFyRQD5yFW6ClNZ5MOWSuTDxg/5SIEfIfwJIB/+7ChpJzAI+QjX8shRXRvSvHfI3TvNBeljYzoS0hwN2bjR3iYi5IsA8pGvfBWltsiHLZPIh40f8pECP0L4E0A+/NlR0k5g0PIR1PjWremdsty0rOMnWsMeGzc014aojKiUcBSfAPJR/BxnsYXIhy0ryIeNH/KRAj9C+BNAPvzZUdJOYFjyEa75qTN675Dm+pBr11vP6M0LVUQe3IqE2DOd3QjIR3ZzU+SaIR+27CIfNn7IRwr8COFPAPnwZ0dJO4EsyEe4FW/sbd7E8NDh1p3UV7uF6XrzwkfdY/lye5uJkC0CyEe28lGW2iAftkwjHzZ+yEcK/AjhTwD58GdHSTuBrMlH0KJLlyryupMQfei/g+Phh/Qu6nXZtYste+3Zz0YE5CMbeShbLZAPW8aRDxs/5CMFfoTwJ4B8+LOjpJ1AVuUj3LJDh1VCqvKmGxUJjsWLmxKi07L0ZoYc+SWAfOQ3d3muOfJhyx7yYeOHfKTAjxD+BJAPf3aUtBPIg3wErbx+vTklS0dDTrt1IsGxZYtOy3Jb9joRGRmxMyHCYAkgH4PlzdWaBJAPW09APmz8kI8U+BHCnwDy4c+OknYCeZKPcGuPH9cte5vb9urOWXqMjkpju16VkPs3Mxpi7x2DiYB8DIYzV5lNAPmw9Qjkw8YP+UiBHyH8CSAf/uwoaSeQV/kIWl67K42REJUQvYdIcKy/d/reIY/V5Z5FiIi9p/QvAvLRP7ZEbk8A+bD1DuTDxg/5SIEfIfwJIB/+7ChpJ5B3+QgT0Lunv6GjIW59yJXJ1jN7djdHQx7ajoTYe0z6EZCP9JkSsTsB5KM7o05nIB82fshHCvwI4U8A+fBnR0k7gSLJR5jGvgNORNyIyIG3W1v2rnTb9D7qRkIec+tDVq20syNCOgSQj3Q4EiUZAeQjGa/o2ciHjR/ykQI/QvgTQD782VHSTqCo8hGQuXyluUj9DTct69z5Fq/t2/S+Ic2pWRzDJYB8DJd/Wa+OfNgyj3zY+CEfKfAjhD8B5MOfHSXtBIouH2FC77wrbm3ISGNqVm36NiGLFjUXqauIbLgPEbH3qOQRkI/kzChhJ4B82BgiHzZ+yEcK/AjhTwD58GdHSTuBMslHQGvqpjRGQnS3rBMnWovUN21s3jfkUTcta2xB6+d2ykToRAD5oH8MgwDyYaOOfNj4IR8p8COEPwHkw58dJe0EyigfYWrvnWquDVERuXGjKRxVt0xEJURHRLY+wGiIvZd1joB89Jsw8eMIIB+2foF82PghHynwI4Q/AeTDnx0l7QTKLh9hgrpdr07J0juqB8faNToSUpPHHxVZuhQRsfe4uRGQj35QJWY3AshHN0Kdn0c+bPyQjxT4EcKfAPLhz46SdgLIx1yG4+Pu3iENEanKpUut53c93BSRXTuREHvPa0VAPtKkSaxeCSAfvZKKPw/5CHF58Vvfk69/51V54XOfkGeefnIOsXbPnxq/YcsCpSHgSQD58ARHsVQIIB+dMR48VHUiUpG9e1ujIUuW1OV9biRkz56a3LsOEbF2ROTDSpDyPgSQDx9qrTLIxzQLFYuXf/BjuTgxGSsfnZ5HPmydkNL+BJAPf3aUtBNAPnpjePVac5H667+qyJmzLRHZ6BapP7K7Lrt31WTpkt5icdZsAsgHPWIYBJAPG3Xkw/ELxOK1V16U3U89O0c+uj2PfNg6IaX9CSAf/uwoaSeAfCRneOy4W6TuRkLedI+pqZaIbHuwLrt2ORFx07MWLmREpFeyyEevpDgvTQLIh41m6eUjLBaKMiof3Z7XMsiHrRNS2p8A8uHPjpJ2AsiHjaFOx9p7oCr73R3Vw8fDDzkR2VmT3W59yOio7RpFL418FD3D2Wwf8mHLS6nlIyoWUfno9nyAvlbnUypbN6S0L4Fqxd3wjP7ni49yRgIVcW+a3f91+qCJ5I0pkV++XpNfvCGyd//0HQxdRN2294nHKvJrj1bkifdVFTVHhAB/A+kSwyCg/Y7Dn0Cp5eNjn/mK/PyXB2LpfeqjH5S/3Xeo4/PPffzDjbJnLrpXDg4IDIHAuhVjcm5iyr35G8LFuWTpCSxcMCLz51Xk8rU7pWeRFoDJqyL73EjI/v0Vefdo6w3OAnfjwt3ToyEP7eAXPuC9etkCmbh6S+7chUlafZA43Qncu3Ks+0mc0ZZAqeUjjkrcmo/weXHPM+2K37BhEWDa1bDIc10lwLSr/vaDSxMiB96qyj4nIifea4nIPYt0WlZzataDW/tbh6xHZ9pV1jNUzPox7cqWV+Qjwg/5sHUoSg+WAPIxWN5cbTYB5GNwPeLChYqTEB0Vqc7aMWv5MpGdTkR0VGTzpvJ9+o98DK4PcqUWAeTD1huQD+TD1oMoPVQCyMdQ8Zf+4sjHcLrA6TNORNzUrANORM5faNVh1Sq3aYqTEB0VuW99OUQE+RhOHyz7VZEPWw9APmz8GqWZdpUCREJ4EUA+vLBRKCUCyEdKIA1hdDrWfichOioycbk1NWudu4Hh7oediLjte9euMVwg40WRj4wnqKDVQz5siUU+bPyQjxT4EcKfAPLhz46SdgLIh51hmhGOHGlOy1IZ0RsbBsfGDdNrRNzNDFcuT/OKw4+FfAw/B2WsAfJhyzryYeOHfKTAjxD+BJAPf3aUtBNAPuwM+xXh0GE3GuKmZuli9Zs3W1fZcn9zofqeXSKLF+d/ahby0a8eRNxOBJAPW/9APmz8kI8U+BHCnwDy4c+OknYCyIed4SAiNLbunb6Z4d27rStu3+ZExN1RXW9mOJbTu6ojH4PoQVwjSgD5sPUJ5MPGD/lIgR8h/AkgH/7sKGkngHzYGQ4ywh13O5Zgofr+t2bfJG3nQ831IbvdY97IIGtluxbyYeNHaT8CyIcft6AU8mHjh3ykwI8Q/gSQD392lLQTQD7sDIcVYWqqOSVr/1siOkUrOKpOPPa4kZCd0zc0HFb9er0u8tErKc5LkwDyYaOJfNj4IR8p8COEPwHkw58dJe0EkA87wyxEuNq4q3rzZoZHj7VGRMYWtO4hsmN7NteHIB9Z6EHlqwPyYcs58mHjh3ykwI8Q/gSQD392lLQTQD7sDLMW4dIlHQ1pjoq8d3L2XdV1SpY+HtiSHRFBPrLWg8pRH+TDlmfkw8YP+UiBHyH8CSAf/uwoaSeAfNgZZjnCufPiFqo3F6ufOdsSkeVuu96Hd9Tk4YfqsvWB4YoI8pHlHlTcuiEfttwiHzZ+yEcK/AjhTwD58GdHSTsB5MPOMC8RTrm7qusd1ffuExm/OHtEZPt2ke3barL9Qbdr1thgW4R8DJY3V2sSQD5sPQH5sPFDPlLgRwh/AsiHPztK2gkgH3aGeYyg07Hefrsibx0UOXuutVhd26JTsnR9yDYnIuvW9n9UBPnIYw/Kf52RD1sOkQ8bP+QjBX6E8CeAfPizo6SdAPJhZ5j3CGfPVeTwOxW3Y1ZF3j0ye/veVauaIyLbtjaFpB8H8tEPqsTsRgD56Eao8/PIh40f8pECP0L4E0A+/NlR0k4A+bAzLFKEqSm3ba8TkcPvVOWwk5FJt4tWcMybJ80REXdjw+1ba7JsWTotRz7S4UiUZASQj2S8omcjHzZ+yEcK/AjhTwD58GdHSTsB5MPOsMgRjh93IyIqI05ETp6ePSqy4b6miOxwj00b/UdFkI8i96Dstg35sOUG+bDxQz5S4EcIfwLIhz87StoJIB92hmWJMDEhzRERJyMHD1Xkzt1Wyxcv1ulZbkTkQTdFy03TGlswW1Q6MUI+ytKDstVO5MOWD+TDxg/5SIEfIfwJIB/+7ChpJ4B82BmWMULdDXSoiBw63Ly7+vjF2RR0+14dEVERWbumMyHko4w9aPhtRj5sOUA+bPyQjxT4EcKfAPLhz46SdgLIh50hEdyOWe4eIofeaYrIkaOzRz1Wr24tWtfRkeiBfNCDhkEA+bBRRz5s/JCPFPgRwp8A8uHPjpJ2AsiHnSERZhOYujEtIjoyckjk2vWWjMwfFdnmFq3r9CwVkaVLRJAPetAwCCAfNurIh40f8pECP0L4E0A+/NlR0k4A+bAzJEJnAsfconVdsK5b+eqNDsPHxg11eWzPiGzefEfWr6+BEgIDI4B82FAjHzZ+yEcK/AjhTwD58GdHSTs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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()"
]
},
{
"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
}