{
"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 "
]
},
{
"cell_type": "markdown",
"id": "551c0580-553f-405d-9352-e900b8190a05",
"metadata": {},
"source": [
"### TAGS : \"diffusion 1D\""
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "cfc3550e-c471-41e0-9dbe-0cc1bdd672f8",
"metadata": {},
"outputs": [],
"source": [
"LAST_REVISED = \"Dec. 16, 2024\"\n",
"LIFE123_VERSION = \"1.0-rc.1\" # Library version this experiment is based on"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "6e5d46c6-e5c5-4bb5-9b4d-80a8f06dacd7",
"metadata": {},
"outputs": [],
"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "d142d450-f2af-42fa-9026-2b44919c5b40",
"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 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": 4,
"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": 5,
"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": 6,
"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": 7,
"id": "99ab76d6",
"metadata": {},
"outputs": [],
"source": [
"bio.inject_sine_conc(species_name=\"A\", amplitude=10, bias=30, frequency=1)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"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": 9,
"id": "338bd51c-6b12-4cf0-8526-797389fbc55c",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" \n",
" "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
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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": 10,
"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",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
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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": 11,
"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": 12,
"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": 13,
"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",
"x": [
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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": "code",
"execution_count": 14,
"id": "320998e1-e775-4d84-8c18-549c8cf2729d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[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 a heatmap to the log file\n",
"bio.single_species_heatmap(species_index=0, heatmap_pars=heatmap_pars, header=f\"Low- and mid-frequency components of the Initial System State :\\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": "code",
"execution_count": null,
"id": "0710466d-fa64-4dfc-8b8b-afd77297cb4e",
"metadata": {},
"outputs": [],
"source": []
},
{
"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": 15,
"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": 16,
"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": 19,
"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": 22,
"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",
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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": 24,
"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",
"
\n",
"
Bin number=%{x}
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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": 26,
"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"
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"marker": {
"symbol": "circle"
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"name": "A",
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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=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": 28,
"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",
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\n",
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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": 30,
"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",
"
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""
]
},
"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": 32,
"id": "3d28ddbf-5623-435a-92b9-f840c7b4a917",
"metadata": {},
"outputs": [
{
"data": {
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"\n",
"\n",
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\n",
" \n",
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" | \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}",
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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": 34,
"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()\n",
"\n",
"\n",
"# Show as heatmap\n",
"fig = px.imshow(bio.system_snapshot().T, \n",
" title= f\"Diffusion. System snapshot at time t={bio.system_time}\", \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": "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": 36,
"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",
"