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Adjusting wavelength to experimental data

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\nAuthor: Jason Bayer\ \ jason.bayer@ihu-liryc.fr\n<div id=\"tutorial_wavelength-tuning\">\n

This\ \ tutorial demonstrates how to adjust parameters in tissue simulations to match\ \ experimental data for conduction velocity, action potential duration, and wavelength.

\n\ \n<h2 id=\"introduction\">Introduction\n

It is important that computer\ \ simulations in cardiac tissue corroborate experimental data. In particular, conduction\ \ velocity (CV) is the speed at which electrical waves propagate in cardiac tissue,\ \ and action potential duration (APD) is the time duration a cardiac myocyte repolarizes\ \ after excitation. The multiplication of CV and APD is termed the wavelength for\ \ reentry (<span class=\"math inline\">\(\lambda\)), which is the minimum\ \ length cardiac tissue dimensions have to be in order to support reentry from unidirectional\ \ conduction block. In this exercise, the user will perform a basic example of how\ \ to adjust CV and APD in a 2D cardiac sheet of ventricular tissue to match CV and\ \ APD from experimental data recorded on the ventricular epicardium of human ventricles\ \ with optical imaging.

\n<h2 id=\"problem-setup\">Problem setup\n

To\ \ execute simulations of this tutorial do

\n<div class=\"sourceCode\" id=\"cb1\"\

<pre class=\"sourceCode bash\"><code class=\"sourceCode bash\"><span id=\"cb1-1\"\ <a href=\"#cb1-1\" aria-hidden=\"true\"><span class=\"bu\">cd tutorials/03C_tuning_wavelength\n\ <h2 id=\"experimental-data\">Experimental data\n

The mapping of electrical\ \ activity with optical imaging on the epicardium of human ventricles provides an\ \ accurate measurement of CV<a href=\"#fn1\" class=\"footnote-ref\" id=\"fnref1\"\ \ role=\"doc-noteref\">¹ and APD<a href=\"#fn2\" class=\"footnote-ref\"\ \ id=\"fnref2\" role=\"doc-noteref\">². The data from these studies\ \ is shown below and were recorded during baseline pacing with a cycle length of\ \ 1000 ms.

\n<table style=\"width:100%;\">\n\n<col style=\"width: 16%\"\ \ />\n<col style=\"width: 16%\" />\n<col style=\"width: 16%\" />\n<col style=\"\ width: 16%\" />\n<col style=\"width: 16%\" />\n<col style=\"width: 16%\" />\n\n\ \n\nTissue state\n (cm/s)\n\\(CV_{t}\\)\ \ (cm/s)\n\\(APD_{80}\\) (ms)\n\ \\({\\lambda}_{l}\\) (cm)\n\\({\\lambda}_{t}\\) (cm)\n\n

03B_study_prep_init 03D_conduction_velocity_restitution