{
"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 4, 2023"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "d142d450-f2af-42fa-9026-2b44919c5b40",
"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": "9897632a-191c-4cdc-9bc2-a1143c2f0d36",
"metadata": {},
"outputs": [],
"source": [
"from experiments.get_notebook_info import get_notebook_basename\n",
"\n",
"from src.life_1D.bio_sim_1d import BioSim1D\n",
"\n",
"import plotly.express as px\n",
"import plotly.graph_objects as go\n",
"\n",
"from src.modules.reactions.reaction_data import ChemData as chem\n",
"from src.modules.html_log.html_log import HtmlLog as log\n",
"from src.modules.visualization.graphic_log 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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}
],
"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": [
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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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"text/html": [
""
]
},
"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": [
{
"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",
"x": [
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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",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
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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",
" 249.0 | \n",
" 0.001062 | \n",
"
\n",
" \n",
" | 250 | \n",
" 250.0 | \n",
" 0.001062 | \n",
"
\n",
" \n",
"
\n",
"
251 rows × 2 columns
\n",
"
\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",
" | 10 | \n",
" 10.0 | \n",
" 0.370945 | \n",
"
\n",
" \n",
" | 40 | \n",
" 40.0 | \n",
" 0.060187 | \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=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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",
"text/html": [
""
]
},
"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": {
"text/html": [
"\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",
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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}",
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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"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
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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",
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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",
"