On an inverse problem with applications in cardiac electrophysiology
Andrea Aspri, Elena Beretta, Elisa Francini, Dario Pierotti, Sergio, Vessella
TL;DR
This paper investigates an inverse problem in cardiac electrophysiology, demonstrating that ischemic regions can be uniquely identified using boundary potential measurements, after analyzing the model's well-posedness.
Contribution
It provides a theoretical framework for uniquely determining insulating ischemic regions in the heart from boundary data within the monodomain model.
Findings
Unique determination of ischemic regions from boundary measurements
Analysis of the well-posedness of the forward problem
Theoretical validation of inverse problem solutions
Abstract
In this paper, we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the forward problem, we show that perfectly insulating regions (modeling ischemic regions in the cardiac tissue) can be uniquely determined by partial boundary measurements of the potential.
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Taxonomy
TopicsAdvanced MRI Techniques and Applications · Cardiac electrophysiology and arrhythmias