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# Sphinx build info version 1 | ||
# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done. | ||
config: 09227e536d4b0057af2317e6c639bd9f | ||
tags: 645f666f9bcd5a90fca523b33c5a78b7 |
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""" | ||
============== | ||
A dummy script | ||
============== | ||
Dummy script to illustrate structure of examples folder | ||
""" | ||
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import matplotlib.pyplot as plt | ||
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# %% | ||
# Import necessary packages | ||
import numpy as np | ||
import osipi | ||
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# %% | ||
# Generate synthetic AIF with default settings and plot the result. | ||
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# Define time points in units of seconds - in this case we use a time | ||
# resolution of 0.5 sec and a total duration of 6 minutes. | ||
t = np.arange(0, 6 * 60, 0.5) | ||
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# Create an AIF with default settings | ||
ca = osipi.aif_parker(t) | ||
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# Plot the AIF over the full range | ||
plt.plot(t, ca, "r-") | ||
plt.plot(t, 0 * t, "k-") | ||
plt.xlabel("Time (sec)") | ||
plt.ylabel("Plasma concentration (mM)") | ||
plt.show() | ||
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# %% | ||
# The bolus arrival time (BAT) defaults to 30s. What happens if we | ||
# change it? Let's try, by changing it in steps of 30s: | ||
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ca = osipi.aif_parker(t, BAT=0) | ||
plt.plot(t, ca, "b-", label="BAT = 0s") | ||
ca = osipi.aif_parker(t, BAT=30) | ||
plt.plot(t, ca, "r-", label="BAT = 30s") | ||
ca = osipi.aif_parker(t, BAT=60) | ||
plt.plot(t, ca, "g-", label="BAT = 60s") | ||
ca = osipi.aif_parker(t, BAT=90) | ||
plt.plot(t, ca, "m-", label="BAT = 90s") | ||
plt.xlabel("Time (sec)") | ||
plt.ylabel("Plasma concentration (mM)") | ||
plt.legend() | ||
plt.show() | ||
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# Choose the last image as a thumbnail for the gallery | ||
# sphinx_gallery_thumbnail_number = -1 |
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_downloads/6794ff0fe2ebfd1be519862fb198ceb5/plot_aif_parker.py
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""" | ||
====================================== | ||
The Parker AIF - a play with variables | ||
====================================== | ||
Simulating a Parker AIF with different settings. | ||
""" | ||
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import matplotlib.pyplot as plt | ||
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# %% | ||
# Import necessary packages | ||
import numpy as np | ||
import osipi | ||
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# %% | ||
# Generate synthetic AIF with default settings and plot the result. | ||
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||
# Define time points in units of seconds - in this case we use a time | ||
# resolution of 0.5 sec and a total duration of 6 minutes. | ||
t = np.arange(0, 6 * 60, 0.5) | ||
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# Create an AIF with default settings | ||
ca = osipi.aif_parker(t) | ||
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# Plot the AIF over the full range | ||
plt.plot(t, ca, "r-") | ||
plt.plot(t, 0 * t, "k-") | ||
plt.xlabel("Time (sec)") | ||
plt.ylabel("Plasma concentration (mM)") | ||
plt.show() | ||
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# %% | ||
# The bolus arrival time (BAT) defaults to 0s. What happens if we | ||
# change it? Let's try, by changing it in steps of 30s: | ||
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ca = osipi.aif_parker(t, BAT=0) | ||
plt.plot(t, ca, "b-", label="BAT = 0s") | ||
ca = osipi.aif_parker(t, BAT=30) | ||
plt.plot(t, ca, "r-", label="BAT = 30s") | ||
ca = osipi.aif_parker(t, BAT=60) | ||
plt.plot(t, ca, "g-", label="BAT = 60s") | ||
ca = osipi.aif_parker(t, BAT=90) | ||
plt.plot(t, ca, "m-", label="BAT = 90s") | ||
plt.xlabel("Time (sec)") | ||
plt.ylabel("Plasma concentration (mM)") | ||
plt.legend() | ||
plt.show() | ||
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# Choose the last image as a thumbnail for the gallery | ||
# sphinx_gallery_thumbnail_number = -1 |
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_downloads/7aabdb582807b10ab82e2dcfaa256c12/plot_extended_tofts.py
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""" | ||
==================== | ||
The Extended Tofts model | ||
==================== | ||
Simulating tissue concentrations from extended Tofts model with different settings. | ||
""" | ||
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import matplotlib.pyplot as plt | ||
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# %% | ||
# Import necessary packages | ||
import numpy as np | ||
import osipi | ||
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||
# %% | ||
# Generate Parker AIF with default settings. | ||
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||
# Define time points in units of seconds - in this case we use a time | ||
# resolution of 1 sec and a total duration of 6 minutes. | ||
t = np.arange(0, 6 * 60, 1) | ||
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# Create an AIF with default settings | ||
ca = osipi.aif_parker(t) | ||
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# %% | ||
# Plot the tissue concentrations for an extracellular volume fraction | ||
# of 0.2 and 3 different plasma volumes of 0.05, 0.2 and 0.6 | ||
Ktrans = 0.2 # in units of 1/min | ||
ve = 0.2 # volume fraction between 0 and 1 | ||
vp = [0.05, 0.2, 0.6] # volume fraction between 0 and 1 | ||
ct = osipi.extended_tofts(t, ca, Ktrans, ve, vp[0]) | ||
plt.plot(t, ct, "b-", label=f"vp = {vp[0]}") | ||
ct = osipi.extended_tofts(t, ca, Ktrans, ve, vp[1]) | ||
plt.plot(t, ct, "g-", label=f"vp = {vp[1]}") | ||
ct = osipi.extended_tofts(t, ca, Ktrans, ve, vp[2]) | ||
plt.plot(t, ct, "m-", label=f"vp = {vp[2]}") | ||
plt.xlabel("Time (sec)") | ||
plt.ylabel("Tissue concentration (mM)") | ||
plt.legend() | ||
plt.show() | ||
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# %% | ||
# Comparing different discretization methods for an extracellular | ||
# volume fraction of 0.2, Ktrans of 0.2 /min and vp of 0.05 | ||
ct = osipi.extended_tofts(t, ca, Ktrans, ve, vp[0]) # Defaults to Convolution | ||
plt.plot(t, ct, "b-", label="Convolution") | ||
ct = osipi.extended_tofts(t, ca, Ktrans, ve, vp[0], discretization_method="exp") | ||
plt.plot(t, ct, "g-", label="Exponential Convolution") | ||
plt.title(f"Ktrans = {Ktrans} /min") | ||
plt.xlabel("Time (sec)") | ||
plt.ylabel("Tissue concentration (mM)") | ||
plt.legend() | ||
plt.show() | ||
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# Choose the last image as a thumbnail for the gallery | ||
# sphinx_gallery_thumbnail_number = -1 |
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97
_downloads/9dd8307460a64f1314f28e1650ea27b2/plot_aif_parker.ipynb
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{ | ||
"cells": [ | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"\n# The Parker AIF - a play with variables\n\nSimulating a Parker AIF with different settings.\n" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [ | ||
"import matplotlib.pyplot as plt" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"Import necessary packages\n\n" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [ | ||
"import numpy as np\nimport osipi" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"Generate synthetic AIF with default settings and plot the result.\n\n" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [ | ||
"# Define time points in units of seconds - in this case we use a time\n# resolution of 0.5 sec and a total duration of 6 minutes.\nt = np.arange(0, 6 * 60, 0.5)\n\n# Create an AIF with default settings\nca = osipi.aif_parker(t)\n\n# Plot the AIF over the full range\nplt.plot(t, ca, \"r-\")\nplt.plot(t, 0 * t, \"k-\")\nplt.xlabel(\"Time (sec)\")\nplt.ylabel(\"Plasma concentration (mM)\")\nplt.show()" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"The bolus arrival time (BAT) defaults to 0s. What happens if we\nchange it? Let's try, by changing it in steps of 30s:\n\n" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [ | ||
"ca = osipi.aif_parker(t, BAT=0)\nplt.plot(t, ca, \"b-\", label=\"BAT = 0s\")\nca = osipi.aif_parker(t, BAT=30)\nplt.plot(t, ca, \"r-\", label=\"BAT = 30s\")\nca = osipi.aif_parker(t, BAT=60)\nplt.plot(t, ca, \"g-\", label=\"BAT = 60s\")\nca = osipi.aif_parker(t, BAT=90)\nplt.plot(t, ca, \"m-\", label=\"BAT = 90s\")\nplt.xlabel(\"Time (sec)\")\nplt.ylabel(\"Plasma concentration (mM)\")\nplt.legend()\nplt.show()\n\n# Choose the last image as a thumbnail for the gallery\n# sphinx_gallery_thumbnail_number = -1" | ||
] | ||
} | ||
], | ||
"metadata": { | ||
"kernelspec": { | ||
"display_name": "Python 3", | ||
"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": "3.10.14" | ||
} | ||
}, | ||
"nbformat": 4, | ||
"nbformat_minor": 0 | ||
} |
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,57 @@ | ||
""" | ||
==================== | ||
The Tofts model | ||
==================== | ||
Simulating tissue concentrations from Tofts model with different settings. | ||
""" | ||
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||
import matplotlib.pyplot as plt | ||
|
||
# %% | ||
# Import necessary packages | ||
import numpy as np | ||
import osipi | ||
|
||
# %% | ||
# Generate Parker AIF with default settings. | ||
|
||
# Define time points in units of seconds - in this case we use a time | ||
# resolution of 1 sec and a total duration of 6 minutes. | ||
t = np.arange(0, 6 * 60, 1) | ||
|
||
# Create an AIF with default settings | ||
ca = osipi.aif_parker(t) | ||
|
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# %% | ||
# Plot the tissue concentrations for an extracellular volume fraction | ||
# of 0.2 and 3 different transfer rate constants of 0.05, 0.2 and 0.6 | ||
# /min | ||
Ktrans = [0.05, 0.2, 0.6] # in units of 1/min | ||
ve = 0.2 # volume fraction between 0 and 1 | ||
ct = osipi.tofts(t, ca, Ktrans=Ktrans[0], ve=ve) | ||
plt.plot(t, ct, "b-", label=f"Ktrans = {Ktrans[0]} /min") | ||
ct = osipi.tofts(t, ca, Ktrans[1], ve) | ||
plt.plot(t, ct, "g-", label=f"Ktrans = {Ktrans[1]} /min") | ||
ct = osipi.tofts(t, ca, Ktrans[2], ve) | ||
plt.plot(t, ct, "m-", label=f"Ktrans = {Ktrans[2]} /min") | ||
plt.xlabel("Time (sec)") | ||
plt.ylabel("Tissue concentration (mM)") | ||
plt.legend() | ||
plt.show() | ||
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# %% | ||
# Comparing different discretization methods for an extracellular | ||
# volume fraction of 0.2 and Ktrans of 0.2 /min | ||
ct = osipi.tofts(t, ca, Ktrans=Ktrans[1], ve=ve) # Defaults to Convolution | ||
plt.plot(t, ct, "b-", label="Convolution") | ||
ct = osipi.tofts(t, ca, Ktrans=Ktrans[1], ve=ve, discretization_method="exp") | ||
plt.plot(t, ct, "g-", label="Exponential Convolution") | ||
plt.title(f"Ktrans = {Ktrans[1]} /min") | ||
plt.xlabel("Time (sec)") | ||
plt.ylabel("Tissue concentration (mM)") | ||
plt.legend() | ||
plt.show() | ||
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# Choose the last image as a thumbnail for the gallery | ||
# sphinx_gallery_thumbnail_number = -1 |
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