On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements*

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Beretta , E , Cavaterra , C & Ratti , L 2020 , ' On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements* ' , Nonlinearity , vol. 33 , no. 11 , pp. 5659-5685 . https://doi.org/10.1088/1361-6544/ab9a1b

Title: On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements*
Author: Beretta, Elena; Cavaterra, Cecilia; Ratti, Luca
Other contributor: University of Helsinki, Department of Mathematics and Statistics

Date: 2020-11
Language: eng
Number of pages: 27
Belongs to series: Nonlinearity
ISSN: 0951-7715
DOI: https://doi.org/10.1088/1361-6544/ab9a1b
URI: http://hdl.handle.net/10138/334680
Abstract: In this paper we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the model we determine an asymptotic expansion of the perturbed potential due to the presence of small conductivity inhomogeneities (modelling small ischemic regions in the cardiac tissue) and use it to detect the anomalies from partial boundary measurements. This is done by determining the topological gradient of a suitable boundary misfit functional. The robustness of the algorithm is confirmed by several numerical experiments.
Subject: inverse problems
nonlinear boundary value problem
cardiac electrophysiology
PERTURBATIONS
STABILITY
EXISTENCE
EQUATIONS
FORMULA
SYSTEMS
111 Mathematics
114 Physical sciences
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