From 1bcc4be1f45e82822099029df64a3947d832e4ad Mon Sep 17 00:00:00 2001 From: Vesa Oikonen <vesoik@utu.fi> Date: Sat, 18 Mar 2023 14:49:29 +0200 Subject: [PATCH] simulation on cavity contamination --- content/model_mtrap.html | 67 ++- content/pic/mtrap_f05_bcon.svg | 694 ++++++++++++++++++++++++++++++ content/pic/mtrap_f05_cavbias.svg | 183 ++++++++ content/pic/mtrap_f10_bcon.svg | 694 ++++++++++++++++++++++++++++++ content/pic/mtrap_f10_cavbias.svg | 183 ++++++++ content/pic/mtrap_f20_bcon.svg | 694 ++++++++++++++++++++++++++++++ content/pic/mtrap_f20_cavbias.svg | 183 ++++++++ 7 files changed, 2696 insertions(+), 2 deletions(-) create mode 100644 content/pic/mtrap_f05_bcon.svg create mode 100644 content/pic/mtrap_f05_cavbias.svg create mode 100644 content/pic/mtrap_f10_bcon.svg create mode 100644 content/pic/mtrap_f10_cavbias.svg create mode 100644 content/pic/mtrap_f20_bcon.svg create mode 100644 content/pic/mtrap_f20_cavbias.svg diff --git a/content/model_mtrap.html b/content/model_mtrap.html index 9ececf4f..3595a256 100644 --- a/content/model_mtrap.html +++ b/content/model_mtrap.html @@ -1,7 +1,7 @@ --- title: MPI with chemical microspheres author: Vesa Oikonen -updated_at: 2023-03-16 +updated_at: 2023-03-18 created_at: 2023-02-27 tags: - Perfusion @@ -500,8 +500,71 @@ images. +<h3><a name="contamination">The effect of spillover on LV cavity</a></h3> -<p>Script and data used to make these simulations are available in +<p>In the present model and previous simulations the assumption is that true arterial blood curve +can be extracted from a small ROI drawn in the middle of the LV cavity. +In practise, the blood curve may be contaminated by myocardial muscle curve because of spillover +and partial volume effects. +In this simulation, the cavity curves were simulated with β values 100%, 95%, 90%, and 85%, +meaning contamination of 0%, 5%, 10%, and 15% from myocardium, respectively. +Since the level of tissue curve is dependent on perfusion, the simulation is +performed with three different K<sub>1</sub> values, 0.5, 1.0, and 2.0. +The simulated data were then fitted using <a href="./tpcclib/doc/fitmtrap.html">fitmtrap</a> +according to <a href="#eq_9">Eq 9</a>. The model fitted the simulated curves perfectly (not shown). +The simulated cavity curves and myocardial curve, and the bias induced to the estimated model +parameters, are shown in <a href="#fig_10">Fig 10</a>. +The simulations suggest that tissue-contaminated blood curve leads to overestimation of all model +parameters. The bias in both K<sub>1</sub> and V<sub>B</sub> is similar to the contamination-% of +the cavity curve. While the higher perfusion leads to higher overestimation of cavity curve, +this does not influence the bias in estimated K<sub>1</sub> values, which seems to be overestimated +by about the same percentage in all perfusion levels. +Most of the bias seems to be absorbed by the parameter k<sub>2</sub>.</p> + + +<p><a name="fig_10"></a></p> +<figure style="border: 1px solid #000; width: 98%;"> + +<a href="./pic/mtrap_f05_bcon.svg"><img src="./pic/mtrap_f05_bcon.svg" +style="margin: 1em; width: 45%;" +alt="Effect of spillover and partial volume effect on LV cavity curve when K1=0.5"></a> +<a href="./pic/mtrap_f05_cavbias.svg"><img src="./pic/mtrap_f05_cavbias.svg" +style="margin: 1em; width: 45%;" +alt="Effect on estimated model parameters when K1=0.5"></a> + +<a href="./pic/mtrap_f10_bcon.svg"><img src="./pic/mtrap_f10_bcon.svg" +style="margin: 1em; width: 45%;" +alt="Effect of spillover and partial volume effect on LV cavity curve when K1=1.0"></a> +<a href="./pic/mtrap_f10_cavbias.svg"><img src="./pic/mtrap_f10_cavbias.svg" +style="margin: 1em; width: 45%;" +alt="Effect on estimated model parameters when K1=1.0"></a> + +<a href="./pic/mtrap_f20_bcon.svg"><img src="./pic/mtrap_f20_bcon.svg" +style="margin: 1em; width: 45%;" +alt="Effect of spillover and partial volume effect on LV cavity curve when K1=2.0"></a> +<a href="./pic/mtrap_f20_cavbias.svg"><img src="./pic/mtrap_f20_cavbias.svg" +style="margin: 1em; width: 45%;" +alt="Effect on estimated model parameters when K1=2.0"></a> + +<figcaption style="margin: 1em;"><b>Figure 10.</b> +The effect of spillover and partial volume effects on the blood curves extracted from the LV cavity +(left side), and the induced bias on estimated model parameter (right side), with three different +perfusion levels (K<sub>1</sub> 0.5, 1.0, and 2.0). +In this simulation the V<sub>B</sub> in myocardial regions is 0.25 and k<sub>2</sub>=0.24. +The biases in K<sub>1</sub> and V<sub>B</sub> estimates are similar, causing the curves to overlap. +</figcaption> +</figure> + +<p>Overall, the results of this simulation suggest that the possible contamination of LV cavity +curve by myocardial muscle causes overestimation of K<sub>1</sub>, the bias remains at acceptable +level. On the other hand, the nuisance parameter k<sub>2</sub> is severely biased, suggesting that +k<sub>2</sub> should not be constrained if contamination of LV cavity curve is suspected.</p> + + + + + +<p><br><br>Script and data used to make these simulations are available in <a href="https://gitlab.utu.fi/vesoik/simulations/">https://gitlab.utu.fi/vesoik/simulations/</a>. </p> diff --git a/content/pic/mtrap_f05_bcon.svg b/content/pic/mtrap_f05_bcon.svg new file mode 100644 index 00000000..5d987903 --- /dev/null +++ b/content/pic/mtrap_f05_bcon.svg @@ -0,0 +1,694 @@ +<?xml version="1.0" encoding="utf-8"?> +<svg version="1.1" baseProfile="full" + xmlns="http://www.w3.org/2000/svg" + xmlns:xlink="http://www.w3.org/1999/xlink" + xmlns:ev="http://www.w3.org/2001/xml-events" + viewBox="0 0 10000 10000" + preserveAspectRatio="xMinYMin meet"> + <title>mtrap_f05_bcon.svg</title> + <defs> + <symbol id="sym-rect" viewBox="0 0 120 120" preserveAspectRatio="xMinYMin meet" > + <polygon points="13 13, 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