On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements
Articolo
Data di Pubblicazione:
2020
Citazione:
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]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
inverse problems; nonlinear boundary value problem; cardiac electrophysiology
Elenco autori:
E. Beretta, C. Cavaterra, L. Ratti
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