{
"cells": [
{
"cell_type": "markdown",
"id": "a40f6857",
"metadata": {},
"source": [
"## The attenuation over time of a single-frequency in the initial concentration\n",
"\n",
"### The initial system state is a sine wave of frequency 2 (i.e. 2 cycles across the system's length), of amplitude 10, with a baseline (bias) of 30\n",
"### Afterward, the process is restarted and repeated with a frequency 5 times larger\n",
"\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"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "696122b0-c8c4-4d43-a4fc-319f95221602",
"metadata": {},
"outputs": [],
"source": [
"# Initialize the system. We use a RELATIVELY LARGE NUMBER OF BINS, \n",
"# to captures the finer changes in the frequency components of the concentration function\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": [
"## Initial Preparation -\n",
"### Start with a sinusoidal concentration, with exactly 2 cycles over the length of the system\n",
"#### (of amplitude 10 and bias value of 30)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "99ab76d6",
"metadata": {},
"outputs": [],
"source": [
"bio.inject_sine_conc(species_name=\"A\", amplitude=10, bias=30, frequency=2)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"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 30.251301\n",
"2 30.502443\n",
"3 30.753268\n",
"4 31.003617\n",
".. ...\n",
"495 28.746668\n",
"496 28.996383\n",
"497 29.246732\n",
"498 29.497557\n",
"499 29.748699\n",
"\n",
"[500 rows x 1 columns]\n"
]
}
],
"source": [
"bio.show_system_snapshot()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "338bd51c-6b12-4cf0-8526-797389fbc55c",
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"data": {
"text/html": [
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= \"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": 7,
"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= \"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": 8,
"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",
" 2.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 136826.215286 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 2 | \n",
" 2.0 | \n",
" 45466.923974 | \n",
"
\n",
" \n",
" | 3 | \n",
" 3.0 | \n",
" 2.992211 | \n",
"
\n",
" \n",
" | 4 | \n",
" 4.0 | \n",
" 3.980559 | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 246 | \n",
" 246.0 | \n",
" 11.415221 | \n",
"
\n",
" \n",
" | 247 | \n",
" 247.0 | \n",
" 11.413727 | \n",
"
\n",
" \n",
" | 248 | \n",
" 248.0 | \n",
" 11.412659 | \n",
"
\n",
" \n",
" | 249 | \n",
" 249.0 | \n",
" 11.412018 | \n",
"
\n",
" \n",
" | 250 | \n",
" 250.0 | \n",
" 11.411805 | \n",
"
\n",
" \n",
"
\n",
"
251 rows × 2 columns
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.332297 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.332297 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.331275 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.330264 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.329262 | \n",
" | \n",
"
\n",
" \n",
" | 5 | \n",
" 50.0 | \n",
" 0.328268 | \n",
" | \n",
"
\n",
" \n",
" | 6 | \n",
" 60.0 | \n",
" 0.327283 | \n",
" | \n",
"
\n",
" \n",
" | 7 | \n",
" 70.0 | \n",
" 0.326304 | \n",
" | \n",
"
\n",
" \n",
" | 8 | \n",
" 80.0 | \n",
" 0.325332 | \n",
" | \n",
"
\n",
" \n",
" | 9 | \n",
" 90.0 | \n",
" 0.324367 | \n",
" | \n",
"
\n",
" \n",
" | 10 | \n",
" 100.0 | \n",
" 0.323409 | \n",
" | \n",
"
\n",
" \n",
" | 11 | \n",
" 110.0 | \n",
" 0.322456 | \n",
" | \n",
"
\n",
" \n",
" | 12 | \n",
" 120.0 | \n",
" 0.321510 | \n",
" | \n",
"
\n",
" \n",
" | 13 | \n",
" 130.0 | \n",
" 0.320569 | \n",
" | \n",
"
\n",
" \n",
" | 14 | \n",
" 140.0 | \n",
" 0.319634 | \n",
" | \n",
"
\n",
" \n",
" | 15 | \n",
" 150.0 | \n",
" 0.318705 | \n",
" | \n",
"
\n",
" \n",
" | 16 | \n",
" 160.0 | \n",
" 0.317781 | \n",
" | \n",
"
\n",
" \n",
" | 17 | \n",
" 170.0 | \n",
" 0.316862 | \n",
" | \n",
"
\n",
" \n",
" | 18 | \n",
" 180.0 | \n",
" 0.315948 | \n",
" | \n",
"
\n",
" \n",
" | 19 | \n",
" 190.0 | \n",
" 0.315040 | \n",
" | \n",
"
\n",
" \n",
" | 20 | \n",
" 200.0 | \n",
" 0.314137 | \n",
" | \n",
"
\n",
" \n",
" | 21 | \n",
" 210.0 | \n",
" 0.313238 | \n",
" | \n",
"
\n",
" \n",
" | 22 | \n",
" 220.0 | \n",
" 0.312345 | \n",
" | \n",
"
\n",
" \n",
" | 23 | \n",
" 230.0 | \n",
" 0.311456 | \n",
" | \n",
"
\n",
" \n",
" | 24 | \n",
" 240.0 | \n",
" 0.310572 | \n",
" | \n",
"
\n",
" \n",
" | 25 | \n",
" 250.0 | \n",
" 0.309692 | \n",
" | \n",
"
\n",
" \n",
" | 26 | \n",
" 260.0 | \n",
" 0.308817 | \n",
" | \n",
"
\n",
" \n",
" | 27 | \n",
" 270.0 | \n",
" 0.307947 | \n",
" | \n",
"
\n",
" \n",
" | 28 | \n",
" 280.0 | \n",
" 0.307081 | \n",
" | \n",
"
\n",
" \n",
" | 29 | \n",
" 290.0 | \n",
" 0.306219 | \n",
" | \n",
"
\n",
" \n",
" | 30 | \n",
" 300.0 | \n",
" 0.305362 | \n",
" | \n",
"
\n",
" \n",
" | 31 | \n",
" 310.0 | \n",
" 0.304509 | \n",
" | \n",
"
\n",
" \n",
" | 32 | \n",
" 320.0 | \n",
" 0.303660 | \n",
" | \n",
"
\n",
" \n",
" | 33 | \n",
" 330.0 | \n",
" 0.302816 | \n",
" | \n",
"
\n",
" \n",
" | 34 | \n",
" 340.0 | \n",
" 0.301976 | \n",
" | \n",
"
\n",
" \n",
" | 35 | \n",
" 350.0 | \n",
" 0.301139 | \n",
" | \n",
"
\n",
" \n",
" | 36 | \n",
" 360.0 | \n",
" 0.300307 | \n",
" | \n",
"
\n",
" \n",
" | 37 | \n",
" 370.0 | \n",
" 0.299479 | \n",
" | \n",
"
\n",
" \n",
" | 38 | \n",
" 380.0 | \n",
" 0.298655 | \n",
" | \n",
"
\n",
" \n",
" | 39 | \n",
" 390.0 | \n",
" 0.297835 | \n",
" | \n",
"
\n",
" \n",
" | 40 | \n",
" 400.0 | \n",
" 0.297018 | \n",
" | \n",
"
\n",
" \n",
" | 41 | \n",
" 410.0 | \n",
" 0.296206 | \n",
" | \n",
"
\n",
" \n",
" | 42 | \n",
" 420.0 | \n",
" 0.295397 | \n",
" | \n",
"
\n",
" \n",
" | 43 | \n",
" 430.0 | \n",
" 0.294592 | \n",
" | \n",
"
\n",
" \n",
" | 44 | \n",
" 440.0 | \n",
" 0.293791 | \n",
" | \n",
"
\n",
" \n",
" | 45 | \n",
" 450.0 | \n",
" 0.292994 | \n",
" | \n",
"
\n",
" \n",
" | 46 | \n",
" 460.0 | \n",
" 0.292200 | \n",
" | \n",
"
\n",
" \n",
" | 47 | \n",
" 470.0 | \n",
" 0.291410 | \n",
" | \n",
"
\n",
" \n",
" | 48 | \n",
" 480.0 | \n",
" 0.290624 | \n",
" | \n",
"
\n",
" \n",
" | 49 | \n",
" 490.0 | \n",
" 0.289841 | \n",
" | \n",
"
\n",
" \n",
" | 50 | \n",
" 500.0 | \n",
" 0.289062 | \n",
" | \n",
"
\n",
" \n",
"
\n",
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"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"System State 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": "b145c656-2452-429a-b368-3d38801e712f",
"metadata": {},
"source": [
"#### Note how the curve is beginning to flatten; the peaks are no longer between 20 and 40"
]
},
{
"cell_type": "markdown",
"id": "81bfe562-363a-464d-98a0-1c06feb16dfe",
"metadata": {},
"source": [
"## Do 150 more rounds of diffusion - to time t = 2000"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "0bcd2ff1-e07b-4bdf-9dc3-31a5abf8461e",
"metadata": {},
"outputs": [],
"source": [
"for i in range(150):\n",
" bio.diffuse(total_duration=10, n_steps=75) # Notice the gradual decreas of the number of intermediate steps, given the smaller gradient\n",
" frequency_data = bio.frequency_analysis(species_name=\"A\")\n",
" ratio = frequency_data.loc[2, \"Relative Amplitude\"] / frequency_data.loc[0, \"Relative Amplitude\"]\n",
" bio.add_snapshot(data_snapshot={\"ratio\": ratio})"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "219eb0f8-1ba0-4384-b261-3e95b572015b",
"metadata": {},
"outputs": [
{
"data": {
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\n",
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" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
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\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
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\n",
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201 rows × 3 columns
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"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": "f9e05960-371d-44e3-bc68-c31fb7fa606c",
"metadata": {},
"source": [
"#### Note how the curve is flatter still - and even beginning to lose shape at the boundary "
]
},
{
"cell_type": "markdown",
"id": "524b10e8-7eba-4b3e-a26b-11044d76aeb3",
"metadata": {},
"source": [
"## Do 800 more rounds of diffusion - to time t = 10000"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "86388457-bd86-43ec-8b05-78d1fe220484",
"metadata": {},
"outputs": [],
"source": [
"for i in range(800):\n",
" bio.diffuse(total_duration=10, n_steps=20) # Note how we're gradually increasing the time steps, because the gradiants are now smaller\n",
" frequency_data = bio.frequency_analysis(species_name=\"A\")\n",
" ratio = frequency_data.loc[2, \"Relative Amplitude\"] / frequency_data.loc[0, \"Relative Amplitude\"]\n",
" bio.add_snapshot(data_snapshot={\"ratio\": ratio})"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "f123d146-68bd-416a-b94b-dd2b5ad9ad81",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.332297 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.331275 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.330264 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.329262 | \n",
" | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 996 | \n",
" 9960.0 | \n",
" 0.062422 | \n",
" | \n",
"
\n",
" \n",
" | 997 | \n",
" 9970.0 | \n",
" 0.062358 | \n",
" | \n",
"
\n",
" \n",
" | 998 | \n",
" 9980.0 | \n",
" 0.062295 | \n",
" | \n",
"
\n",
" \n",
" | 999 | \n",
" 9990.0 | \n",
" 0.062232 | \n",
" | \n",
"
\n",
" \n",
" | 1000 | \n",
" 10000.0 | \n",
" 0.062168 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
1001 rows × 3 columns
\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": [
"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": "192a4ac0-3cc0-4c73-af6f-d5bbb019b0db",
"metadata": {},
"source": [
"#### Getting decisively flatter, as it approaches equilibrium"
]
},
{
"cell_type": "markdown",
"id": "0ddb082f-211e-4b49-b40b-d4d7df03d99c",
"metadata": {},
"source": [
"## Now, let's look how the amplitude of the sine signal, relative to the constant bias, changed over time"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "f86992f4-a943-4ef6-8889-496cb451e094",
"metadata": {},
"outputs": [
{
"data": {
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{
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Time (groups of 10 units)=%{x}
ratio=%{y}",
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"line": {
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"marker": {
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"name": "ratio",
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"type": "scattergl",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.get_history(), y=[\"ratio\"], \n",
" title= \"Component of frequency=2, relative to amplitude of constant bias\",\n",
" color_discrete_sequence = ['purple'],\n",
" labels={\"value\":\"ratio\", \"variable\":\"Freq. 2\", \"index\":\"Time (groups of 10 units)\"})\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "8e117d65-9108-4b8f-9108-ccba6fcba097",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Freq. 2=ratio
Time (groups of 10 units)=%{x}
ratio=%{y}",
"legendgroup": "ratio",
"line": {
"color": "purple",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "ratio",
"showlegend": true,
"type": "scattergl",
"x": [
0,
1,
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.get_history(), y=[\"ratio\"], \n",
" title= \"Component of frequency=2, relative to amplitude of constant bias (log scale in y-axis)\",\n",
" color_discrete_sequence = ['purple'],\n",
" labels={\"value\":\"ratio\", \"variable\":\"Freq. 2\", \"index\":\"Time (groups of 10 units)\"},\n",
" log_y=True)\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "6a3962c1-8f75-462b-95a9-d7f3d48688e9",
"metadata": {},
"outputs": [],
"source": [
"saved_freq_2_df = bio.get_history().copy(deep=True) # Save the whole dataframe, for later use"
]
},
{
"cell_type": "markdown",
"id": "3bb28b31-6f7d-4a88-b212-380ed9ba3223",
"metadata": {},
"source": [
"# Start a NEW system\n",
"#### Everything same as before EXCEPT the frequency is now 5 times bigger (10 cycles over the length of the system)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "28898026-1a90-47e3-889a-ca63c672d6fa",
"metadata": {},
"outputs": [],
"source": [
"bio = BioSim1D(n_bins=500, chem_data=chem_data)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "65fc0320-6173-40ec-937d-434d46020fb1",
"metadata": {},
"outputs": [],
"source": [
"bio.inject_sine_conc(species_name=\"A\", amplitude=10, bias=30, frequency=10) # x5 higher frequency than before"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "0eec5d4f-1166-4da0-bdeb-11a01c227b62",
"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= \"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": 30,
"id": "496af436-620c-4e29-a132-a29b1bf41e21",
"metadata": {},
"outputs": [
{
"data": {
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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= \"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": 31,
"id": "912b7bd6-5736-4b65-a743-cb26d7e009d7",
"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",
" 10.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
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\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.308391 | \n",
" | \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",
"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= \"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": 39,
"id": "fa61a714-1feb-4496-834b-c893d23accc5",
"metadata": {},
"outputs": [],
"source": [
"for i in range(4):\n",
" bio.diffuse(total_duration=10, n_steps=100)\n",
" frequency_data = bio.frequency_analysis(species_name=\"A\")\n",
" ratio = frequency_data.loc[10, \"Relative Amplitude\"] / frequency_data.loc[0, \"Relative Amplitude\"]\n",
" bio.add_snapshot(data_snapshot={\"ratio\": ratio})"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "814d02a7-ac39-42c8-81e6-4660b0d10bad",
"metadata": {},
"outputs": [
{
"data": {
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"config": {
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"marker": {
"symbol": "circle"
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"System State 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": 41,
"id": "3faf62be-dff8-41c3-ba75-76fbd9251b43",
"metadata": {},
"outputs": [
{
"data": {
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"\n",
"\n",
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\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.308391 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.285576 | \n",
" | \n",
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\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.264622 | \n",
" | \n",
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\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.245345 | \n",
" | \n",
"
\n",
" \n",
" | 5 | \n",
" 50.0 | \n",
" 0.227592 | \n",
" | \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",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"System State 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": 44,
"id": "ff3e64d5-c412-4e1e-a4a7-0305cab24e13",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.308391 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.285576 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.264622 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.245345 | \n",
" | \n",
"
\n",
" \n",
" | 5 | \n",
" 50.0 | \n",
" 0.227592 | \n",
" | \n",
"
\n",
" \n",
" | 6 | \n",
" 60.0 | \n",
" 0.211230 | \n",
" | \n",
"
\n",
" \n",
" | 7 | \n",
" 70.0 | \n",
" 0.196140 | \n",
" | \n",
"
\n",
" \n",
" | 8 | \n",
" 80.0 | \n",
" 0.182216 | \n",
" | \n",
"
\n",
" \n",
" | 9 | \n",
" 90.0 | \n",
" 0.169363 | \n",
" | \n",
"
\n",
" \n",
" | 10 | \n",
" 100.0 | \n",
" 0.157493 | \n",
" | \n",
"
\n",
" \n",
" | 11 | \n",
" 110.0 | \n",
" 0.146526 | \n",
" | \n",
"
\n",
" \n",
" | 12 | \n",
" 120.0 | \n",
" 0.136390 | \n",
" | \n",
"
\n",
" \n",
" | 13 | \n",
" 130.0 | \n",
" 0.127020 | \n",
" | \n",
"
\n",
" \n",
" | 14 | \n",
" 140.0 | \n",
" 0.118354 | \n",
" | \n",
"
\n",
" \n",
" | 15 | \n",
" 150.0 | \n",
" 0.110337 | \n",
" | \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": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"System State 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": 47,
"id": "c3c8003c-fccf-49d9-97d0-a6f266fc134b",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.308391 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.285576 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.264622 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.245345 | \n",
" | \n",
"
\n",
" \n",
" | 5 | \n",
" 50.0 | \n",
" 0.227592 | \n",
" | \n",
"
\n",
" \n",
" | 6 | \n",
" 60.0 | \n",
" 0.211230 | \n",
" | \n",
"
\n",
" \n",
" | 7 | \n",
" 70.0 | \n",
" 0.196140 | \n",
" | \n",
"
\n",
" \n",
" | 8 | \n",
" 80.0 | \n",
" 0.182216 | \n",
" | \n",
"
\n",
" \n",
" | 9 | \n",
" 90.0 | \n",
" 0.169363 | \n",
" | \n",
"
\n",
" \n",
" | 10 | \n",
" 100.0 | \n",
" 0.157493 | \n",
" | \n",
"
\n",
" \n",
" | 11 | \n",
" 110.0 | \n",
" 0.146526 | \n",
" | \n",
"
\n",
" \n",
" | 12 | \n",
" 120.0 | \n",
" 0.136390 | \n",
" | \n",
"
\n",
" \n",
" | 13 | \n",
" 130.0 | \n",
" 0.127020 | \n",
" | \n",
"
\n",
" \n",
" | 14 | \n",
" 140.0 | \n",
" 0.118354 | \n",
" | \n",
"
\n",
" \n",
" | 15 | \n",
" 150.0 | \n",
" 0.110337 | \n",
" | \n",
"
\n",
" \n",
" | 16 | \n",
" 160.0 | \n",
" 0.102919 | \n",
" | \n",
"
\n",
" \n",
" | 17 | \n",
" 170.0 | \n",
" 0.096052 | \n",
" | \n",
"
\n",
" \n",
" | 18 | \n",
" 180.0 | \n",
" 0.089695 | \n",
" | \n",
"
\n",
" \n",
" | 19 | \n",
" 190.0 | \n",
" 0.083806 | \n",
" | \n",
"
\n",
" \n",
" | 20 | \n",
" 200.0 | \n",
" 0.078351 | \n",
" | \n",
"
\n",
" \n",
" | 21 | \n",
" 210.0 | \n",
" 0.073296 | \n",
" | \n",
"
\n",
" \n",
" | 22 | \n",
" 220.0 | \n",
" 0.068611 | \n",
" | \n",
"
\n",
" \n",
" | 23 | \n",
" 230.0 | \n",
" 0.064267 | \n",
" | \n",
"
\n",
" \n",
" | 24 | \n",
" 240.0 | \n",
" 0.060238 | \n",
" | \n",
"
\n",
" \n",
" | 25 | \n",
" 250.0 | \n",
" 0.056500 | \n",
" | \n",
"
\n",
" \n",
" | 26 | \n",
" 260.0 | \n",
" 0.053032 | \n",
" | \n",
"
\n",
" \n",
" | 27 | \n",
" 270.0 | \n",
" 0.049813 | \n",
" | \n",
"
\n",
" \n",
" | 28 | \n",
" 280.0 | \n",
" 0.046824 | \n",
" | \n",
"
\n",
" \n",
" | 29 | \n",
" 290.0 | \n",
" 0.044048 | \n",
" | \n",
"
\n",
" \n",
" | 30 | \n",
" 300.0 | \n",
" 0.041469 | \n",
" | \n",
"
\n",
" \n",
" | 31 | \n",
" 310.0 | \n",
" 0.039073 | \n",
" | \n",
"
\n",
" \n",
" | 32 | \n",
" 320.0 | \n",
" 0.036846 | \n",
" | \n",
"
\n",
" \n",
" | 33 | \n",
" 330.0 | \n",
" 0.034775 | \n",
" | \n",
"
\n",
" \n",
" | 34 | \n",
" 340.0 | \n",
" 0.032849 | \n",
" | \n",
"
\n",
" \n",
" | 35 | \n",
" 350.0 | \n",
" 0.031057 | \n",
" | \n",
"
\n",
" \n",
" | 36 | \n",
" 360.0 | \n",
" 0.029389 | \n",
" | \n",
"
\n",
" \n",
" | 37 | \n",
" 370.0 | \n",
" 0.027836 | \n",
" | \n",
"
\n",
" \n",
" | 38 | \n",
" 380.0 | \n",
" 0.026390 | \n",
" | \n",
"
\n",
" \n",
" | 39 | \n",
" 390.0 | \n",
" 0.025043 | \n",
" | \n",
"
\n",
" \n",
" | 40 | \n",
" 400.0 | \n",
" 0.023788 | \n",
" | \n",
"
\n",
" \n",
" | 41 | \n",
" 410.0 | \n",
" 0.022618 | \n",
" | \n",
"
\n",
" \n",
" | 42 | \n",
" 420.0 | \n",
" 0.021526 | \n",
" | \n",
"
\n",
" \n",
" | 43 | \n",
" 430.0 | \n",
" 0.020508 | \n",
" | \n",
"
\n",
" \n",
" | 44 | \n",
" 440.0 | \n",
" 0.019558 | \n",
" | \n",
"
\n",
" \n",
" | 45 | \n",
" 450.0 | \n",
" 0.018671 | \n",
" | \n",
"
\n",
" \n",
" | 46 | \n",
" 460.0 | \n",
" 0.017842 | \n",
" | \n",
"
\n",
" \n",
" | 47 | \n",
" 470.0 | \n",
" 0.017068 | \n",
" | \n",
"
\n",
" \n",
" | 48 | \n",
" 480.0 | \n",
" 0.016345 | \n",
" | \n",
"
\n",
" \n",
" | 49 | \n",
" 490.0 | \n",
" 0.015668 | \n",
" | \n",
"
\n",
" \n",
" | 50 | \n",
" 500.0 | \n",
" 0.015035 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"System State 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": "67187e34-8ea0-496b-b8d7-0c5085193abf",
"metadata": {},
"source": [
"**Most of the concentration graph is now flat as a board!**"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "236e7aba-1285-498c-a5ff-adfd27cfa137",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.308391 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.285576 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.264622 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.245345 | \n",
" | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 96 | \n",
" 960.0 | \n",
" 0.005431 | \n",
" | \n",
"
\n",
" \n",
" | 97 | \n",
" 970.0 | \n",
" 0.005376 | \n",
" | \n",
"
\n",
" \n",
" | 98 | \n",
" 980.0 | \n",
" 0.005324 | \n",
" | \n",
"
\n",
" \n",
" | 99 | \n",
" 990.0 | \n",
" 0.005273 | \n",
" | \n",
"
\n",
" \n",
" | 100 | \n",
" 1000.0 | \n",
" 0.005224 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
101 rows × 3 columns
\n",
"
Time (groups of 10 units)=%{x}
ratio=%{y}",
"legendgroup": "ratio",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "ratio",
"orientation": "v",
"showlegend": true,
"type": "scatter",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.get_history(), y=[\"ratio\"], \n",
" title= \"Component of frequency=10, relative to amplitude of constant bias\",\n",
" color_discrete_sequence = ['green'],\n",
" labels={\"value\":\"ratio\", \"variable\":\"Freq. 10\", \"index\":\"Time (groups of 10 units)\"})\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 52,
"id": "bcb1f96b-8f07-4fbd-aaed-55cebe837a84",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Freq. 10=ratio
Time (groups of 10 units)=%{x}
ratio=%{y}",
"legendgroup": "ratio",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "ratio",
"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,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
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65,
66,
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68,
69,
70,
71,
72,
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74,
75,
76,
77,
78,
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80,
81,
82,
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85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100
],
"xaxis": "x",
"y": [
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0.24534456970312632,
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.get_history(), y=[\"ratio\"], \n",
" title= \"Component of frequency=10, relative to amplitude of constant bias (log scale in y-axis)\",\n",
" color_discrete_sequence = ['green'],\n",
" labels={\"value\":\"ratio\", \"variable\":\"Freq. 10\", \"index\":\"Time (groups of 10 units)\"},\n",
" log_y=True)\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "c5e7fe6a-5062-4416-8ef3-8bdbca1961dd",
"metadata": {},
"source": [
"### Resurrect the earlier plot for frequency=2 (using a saved dataset)\n",
"### and then superpose them"
]
},
{
"cell_type": "code",
"execution_count": 53,
"id": "1381c94b-9780-412b-8f4c-6f5cf1cec4b9",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Freq. 2=ratio
Time (groups of 10 units)=%{x}
ratio=%{y}",
"legendgroup": "ratio",
"line": {
"color": "purple",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "ratio",
"showlegend": true,
"type": "scattergl",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig_2 = px.line(data_frame=saved_freq_2_df, y=[\"ratio\"], \n",
" title= \"Component of frequency=2, relative to amplitude of constant bias (log scale in y-axis)\",\n",
" color_discrete_sequence = ['purple'],\n",
" labels={\"value\":\"ratio\", \"variable\":\"Freq. 2\", \"index\":\"Time (groups of 10 units)\"},\n",
" log_y=True)\n",
"fig_2.show()"
]
},
{
"cell_type": "code",
"execution_count": 54,
"id": "c78305c0-ef96-4ae1-8127-f0de49c20cc9",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Freq. 10=ratio
Time (groups of 10 units)=%{x}
ratio=%{y}",
"legendgroup": "ratio",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "ratio",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
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3,
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5,
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],
"xaxis": "x",
"y": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Combine the last 2 plots\n",
"all_fig = go.Figure(data=fig.data + fig_2.data) # Note that the + is concatenating lists\n",
"all_fig.update_layout(title=\"Superposed plots for frequency 2 (purple) and 10 (green)\")\n",
"all_fig.show()"
]
},
{
"cell_type": "markdown",
"id": "8af00164-7535-4e85-90fb-05c971ea44f0",
"metadata": {},
"source": [
"## Note how more more substantial the attenuation of the higher frequency (green) is!"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "fbbf3a33-e2f5-40fa-bc74-af4002daba30",
"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": "3.8.10"
},
"toc-autonumbering": false,
"toc-showcode": true,
"toc-showmarkdowntxt": false
},
"nbformat": 4,
"nbformat_minor": 5
}