{
"cells": [
{
"cell_type": "markdown",
"id": "a40f6857",
"metadata": {},
"source": [
"## High Frequencies in the concentration get smoothed out first \n",
"### Ultimately, the only frequency passing thru is zero! (i.e., uniform concentration at equilibrium)\n",
"#### We explore how an initial concentration with 3 different sinusoidal frequencies fares in the course of a diffusion to equilibrium\n",
"\n",
"**The initial system state will consist of:** \n",
" 0 - A constant baseline of value 30 \n",
" 1 - A sine wave of frequency 1 (1 cycle across the system's length), of amplitude 10 \n",
" 2 - A sine wave of frequency 10 , of amplitude 4 \n",
" 3 - A sine wave of frequency 40 , of amplitude 2 \n",
"\n",
"LAST REVISED: June 23, 2024 (using v. 1.0 beta34.1)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "9bf76170",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Added 'D:\\Docs\\- MY CODE\\BioSimulations\\life123-Win7' to sys.path\n"
]
}
],
"source": [
"import set_path # Importing this module will add the project's home directory to sys.path"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "d142d450-f2af-42fa-9026-2b44919c5b40",
"metadata": {},
"outputs": [],
"source": [
"from experiments.get_notebook_info import get_notebook_basename\n",
"\n",
"from life123 import BioSim1D\n",
"\n",
"import plotly.express as px\n",
"\n",
"from life123 import ChemData as chem\n",
"from life123 import HtmlLog as log\n",
"from life123 import GraphicLog"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "56c2a43d-d531-414e-921c-bf746c2ba991",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-> Output will be LOGGED into the file 'low_pass_1.log.htm'\n"
]
}
],
"source": [
"# Initialize the HTML logging\n",
"log_file = get_notebook_basename() + \".log.htm\" # Use the notebook base filename for the log file\n",
"GraphicLog.config(filename=log_file,\n",
" components=[\"vue_heatmap_11\", \"vue_curves_3\"])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "f14a35e1-83a5-42da-9258-89d9af0ffe31",
"metadata": {},
"outputs": [],
"source": [
"# Set the heatmap parameters\n",
"heatmap_pars = {\"range\": [10, 50],\n",
" \"outer_width\": 850, \"outer_height\": 150,\n",
" \"margins\": {\"top\": 30, \"right\": 30, \"bottom\": 30, \"left\": 55}\n",
" }\n",
"\n",
"# Set the parameters of the line plots\n",
"lineplot_pars = {\"range\": [10, 50],\n",
" \"outer_width\": 850, \"outer_height\": 250,\n",
" \"margins\": {\"top\": 30, \"right\": 30, \"bottom\": 30, \"left\": 55}\n",
" }"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "696122b0-c8c4-4d43-a4fc-319f95221602",
"metadata": {},
"outputs": [],
"source": [
"# Initialize the system. We use a RELATIVELY LARGE NUMBER OF BINS, \n",
"# to captures the many changes in the high-frequency component\n",
"chem_data = chem(names=[\"A\"], diffusion_rates=[0.5])\n",
"bio = BioSim1D(n_bins=500, chem_data=chem_data)"
]
},
{
"cell_type": "markdown",
"id": "20c8fd90-5315-4c5c-a60b-20427fc13b84",
"metadata": {},
"source": [
"## PART 1 (of 3) of Initial Preparation -\n",
"### Start with a sinusoidal concentration, with exactly 1 cycle over the length of the system\n",
"#### (notice the bias value of 30; it will be seen at the eventual equilibrium, at the end)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "99ab76d6",
"metadata": {},
"outputs": [],
"source": [
"bio.inject_sine_conc(species_name=\"A\", amplitude=10, bias=30, frequency=1)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "012d98f0-4846-4d56-8b50-f30543b31fe0",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM SNAPSHOT at time 0:\n",
" A\n",
"0 30.000000\n",
"1 30.125660\n",
"2 30.251301\n",
"3 30.376902\n",
"4 30.502443\n",
".. ...\n",
"495 29.372095\n",
"496 29.497557\n",
"497 29.623098\n",
"498 29.748699\n",
"499 29.874340\n",
"\n",
"[500 rows x 1 columns]\n"
]
}
],
"source": [
"bio.show_system_snapshot()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "338bd51c-6b12-4cf0-8526-797389fbc55c",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" \n",
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"output_type": "display_data"
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"data": {
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= \"Low-frequency component of the Initial System State\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "0869cad9-cfed-4c0b-94da-2f5fb9a6f2a4",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"coloraxis": "coloraxis",
"hovertemplate": "Bin number: %{x}
Chem. species: %{y}
Concentration: %{z}",
"name": "0",
"type": "heatmap",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show as heatmap\n",
"fig = px.imshow(bio.system_snapshot().T, \n",
" title= \"Low-frequency component of the Initial System State (as a heatmap)\", \n",
" labels=dict(x=\"Bin number\", y=\"Chem. species\", color=\"Concentration\"),\n",
" text_auto=False, color_continuous_scale=\"gray_r\") \n",
"\n",
"fig.data[0].xgap=0\n",
"fig.data[0].ygap=0\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "bc2e15e3-55a8-42fd-894a-918893d7f685",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Diffusion as a Low-Pass Filter\n",
"\n",
"\n",
"Low-frequency component of the Initial System State:\n",
"[GRAPHIC ELEMENT SENT TO LOG FILE `low_pass_1.log.htm`]\n",
"[GRAPHIC ELEMENT SENT TO LOG FILE `low_pass_1.log.htm`]\n"
]
}
],
"source": [
"# Output to the log file\n",
"log.write(\"Diffusion as a Low-Pass Filter\", style=log.h3)\n",
"\n",
"log.write(f\"Low-frequency component of the Initial System State:\", blanks_before=2, style=log.bold)\n",
"\n",
"# Output a heatmap to the log file\n",
"bio.single_species_heatmap(species_index=0, heatmap_pars=heatmap_pars, header=f\"Time {bio.system_time} :\\n\", graphic_component=\"vue_heatmap_11\")\n",
"# Output a line plot the log file\n",
"bio.single_species_line_plot(species_index=0, plot_pars=lineplot_pars, graphic_component=\"vue_curves_3\")"
]
},
{
"cell_type": "markdown",
"id": "2ba3f95a-2d63-4a11-a150-c5f1ea4a7716",
"metadata": {},
"source": [
"## PART 2 (of 3) of Initial Preparation -\n",
"### Now add a higher-frequency component (10 cycles over the length of the system)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "28e46cc9-4ddf-4d9c-8ab2-20c08bb3106e",
"metadata": {},
"outputs": [],
"source": [
"bio.inject_sine_conc(species_name=\"A\", amplitude=4, bias=0, frequency=10)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "04d7a7ca-7a0b-464a-8283-05b66469b9ba",
"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",
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= \"Low- and mid-frequency components of the Initial System State\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()\n",
"\n",
"# Show as heatmap\n",
"fig = px.imshow(bio.system_snapshot().T, \n",
" title= \"Low- and mid-frequency components of the Initial System State (as a heatmap)\", \n",
" labels=dict(x=\"Bin number\", y=\"Chem. species\", color=\"Concentration\"),\n",
" text_auto=False, color_continuous_scale=\"gray_r\") \n",
"\n",
"fig.data[0].xgap=0\n",
"fig.data[0].ygap=0\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "5693fcf2-f869-489d-a7d7-271786c66a65",
"metadata": {},
"source": [
"## PART 3 (of 3) of Initial Preparation -\n",
"### To complete the preparation of a 3-frequency component initial state, add another, even higher, frequency component \n",
"#### (40 cycles over the length of the system)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "99c11051-0d78-44cb-9cac-5e27a99d5d20",
"metadata": {},
"outputs": [
{
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.inject_sine_conc(species_name=\"A\", amplitude=2, bias=0, frequency=40)\n",
"\n",
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= \"Initial System State with 3 superposed frequencies\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()\n",
"\n",
"\n",
"# Show as heatmap\n",
"fig = px.imshow(bio.system_snapshot().T, \n",
" title= \"Initial System State with 3 superposed frequencies (as a heatmap)\", \n",
" labels=dict(x=\"Bin number\", y=\"Chem. species\", color=\"Concentration\"),\n",
" text_auto=False, color_continuous_scale=\"gray_r\") \n",
"\n",
"fig.data[0].xgap=0\n",
"fig.data[0].ygap=0\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "117dd061-3c8e-469b-ba03-c13f60533190",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.0 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" | 2 | \n",
" 10.0 | \n",
" 0.4 | \n",
"
\n",
" \n",
" | 3 | \n",
" 40.0 | \n",
" 0.2 | \n",
"
\n",
" \n",
"
\n",
"
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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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.diffuse(total_duration=10, time_step=0.1)\n",
"\n",
"# Show as a line plot\n",
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "850c0d60-d25a-4721-bfec-e03419f2757d",
"metadata": {},
"source": [
"### After the initial diffusion (at t=10), the highest frequency is largely gone"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "398588e7-2066-4171-b95c-089b83126034",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.002048 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 2 | \n",
" 2.0 | \n",
" 0.000214 | \n",
"
\n",
" \n",
" | 3 | \n",
" 3.0 | \n",
" 0.000321 | \n",
"
\n",
" \n",
" | 4 | \n",
" 4.0 | \n",
" 0.000426 | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 246 | \n",
" 246.0 | \n",
" 0.001063 | \n",
"
\n",
" \n",
" | 247 | \n",
" 247.0 | \n",
" 0.001063 | \n",
"
\n",
" \n",
" | 248 | \n",
" 248.0 | \n",
" 0.001063 | \n",
"
\n",
" \n",
" | 249 | \n",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=20, time_step=0.1)\n",
"\n",
"# Show as a line plot\n",
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "ce8552cf-81bd-489b-9517-de3e7c66ea4a",
"metadata": {},
"source": [
"### After additional diffusion (at t=30), the highest frequency (40 cycles) can no longer be visually detected.\n",
"#### The 2 lower frequency are still recognizable\n",
"#### The 40-cycle frequency is not even among the largest of the tiny values in the spurious frequencies of the distorted signal"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "2ae088e8-0d6f-4b90-aba8-17ed3bed9374",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.005903 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 10 | \n",
" 10.0 | \n",
" 0.319950 | \n",
"
\n",
" \n",
" | 40 | \n",
" 40.0 | \n",
" 0.009387 | \n",
"
\n",
" \n",
" | 25 | \n",
" 25.0 | \n",
" 0.005578 | \n",
"
\n",
" \n",
" | 24 | \n",
" 24.0 | \n",
" 0.005577 | \n",
"
\n",
" \n",
" | 26 | \n",
" 26.0 | \n",
" 0.005565 | \n",
"
\n",
" \n",
" | 23 | \n",
" 23.0 | \n",
" 0.005563 | \n",
"
\n",
" \n",
" | 27 | \n",
" 27.0 | \n",
" 0.005541 | \n",
"
\n",
" \n",
" | 22 | \n",
" 22.0 | \n",
" 0.005533 | \n",
"
\n",
" \n",
"
\n",
"
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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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=90, time_step=0.1)\n",
"\n",
"# Show as a line plot\n",
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "78ffd44e-132d-47ca-9ebb-994e54feb13f",
"metadata": {},
"source": [
"### By now (at t=120), even the middle frequency (10 cycles) is notably attenuated"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "08ad2591-0047-4607-87ee-de3235f31922",
"metadata": {},
"outputs": [
{
"data": {
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"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.022429 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 10 | \n",
" 10.0 | \n",
" 0.169929 | \n",
"
\n",
" \n",
"
\n",
"
Bin number=%{x}
concentration=%{y}",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=100, time_step=0.1)\n",
"\n",
"# Show as a line plot\n",
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "cdbe46dc-fa6e-414c-8fcc-679ef0f90fc2",
"metadata": {},
"source": [
"### With still more diffusion (at t=220), the middle frequency is only weakly visible"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "3bb946d3-b421-4be0-bb74-938e64299075",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.040431 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 10 | \n",
" 10.0 | \n",
" 0.091228 | \n",
"
\n",
" \n",
"
\n",
"
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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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=180, time_step=0.1)\n",
"\n",
"# Show as a line plot\n",
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "78c538c2-6f5e-4e9b-96e9-fe972e7cac1e",
"metadata": {},
"source": [
"### By t=400, the middle frequency is barely noticeable. The low frequency (1 cycle) is still prominent"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "868eaeef-9787-4fb8-a075-aefdb8e9855e",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.073257 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 10 | \n",
" 10.0 | \n",
" 0.040847 | \n",
"
\n",
" \n",
"
\n",
"
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
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"symbol": "circle"
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=600, time_step=0.3)\n",
"\n",
"# Show as a line plot\n",
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "d62bd9ad-0d9a-412c-8c56-49b2b16fece9",
"metadata": {},
"source": [
"### By t=1,000 there's no visual indication of the middle frequency (f=10)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "1e0ba225-ef9d-464c-89d3-f262498ccb67",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.184159 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 4 | \n",
" 4.0 | \n",
" 0.045772 | \n",
"
\n",
" \n",
" | 5 | \n",
" 5.0 | \n",
" 0.044181 | \n",
"
\n",
" \n",
" | 3 | \n",
" 3.0 | \n",
" 0.043093 | \n",
"
\n",
" \n",
" | 6 | \n",
" 6.0 | \n",
" 0.040484 | \n",
"
\n",
" \n",
" | 7 | \n",
" 7.0 | \n",
" 0.036275 | \n",
"
\n",
" \n",
" | 2 | \n",
" 2.0 | \n",
" 0.034303 | \n",
"
\n",
" \n",
" | 8 | \n",
" 8.0 | \n",
" 0.032375 | \n",
"
\n",
" \n",
" | 9 | \n",
" 9.0 | \n",
" 0.029048 | \n",
"
\n",
" \n",
"
\n",
"
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
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"marker": {
"symbol": "circle"
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"mode": "lines",
"name": "A",
"orientation": "v",
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"type": "scatter",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=8000, time_step=.5)\n",
"\n",
"# Show as a line plot\n",
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "a0fc7fcb-ea93-4d25-8466-7d5aeeb1b1df",
"metadata": {},
"source": [
"### By t=9,000 even the lowest frequency has lost a major part of its sinusoidal shape"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "3d28ddbf-5623-435a-92b9-f840c7b4a917",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 4.456851 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
"
\n",
"
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
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"marker": {
"symbol": "circle"
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=91000, time_step=.5)\n",
"\n",
"# Show as a line plot\n",
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "7aee4f2b-1b07-44cd-a2c8-3d4b1d270e56",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 28.997098 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
"
\n",
"
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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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=100000, time_step=.6)\n",
"\n",
"# Show as a line plot\n",
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "875d79c6-027d-45ff-b542-b9510115e6e9",
"metadata": {},
"source": [
"### By t=200,000 the system is getting close to equilibrium about the value 30, which was the original \"bias\" (unvarying component) of the baseline frequency (the higher-frequency signals didn't have any bias)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "0c2bc34a-381c-44ea-9c85-6b1b9b0474c1",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 208.747593 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
"
\n",
"