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.

On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements / E. Beretta, C. Cavaterra, L. Ratti. - In: NONLINEARITY. - ISSN 0951-7715. - 33:11(2020), pp. 5659-5685. [10.1088/1361-6544/ab9a1b]

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

C. Cavaterra;
2020

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.
inverse problems; nonlinear boundary value problem; cardiac electrophysiology
Settore MAT/05 - Analisi Matematica
NONLINEARITY
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/769229
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