Microscopic tridomain model of electrical activity in the heart with dynamical gap junctions. I: Modeling and well-posedness

DOI10.1007/s10440-022-00498-7zbMath1490.92016arXiv2205.15605OpenAlexW4281622429MaRDI QIDQ2145679

Mazen Saad, Mostafa Bendahmane, Raafat Talhouk, Fakhrielddine Bader

Publication date: 17 June 2022

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.15605

zbMATH Keywords

weak solutionuniquenessglobal existencegap junctionstridomain modelcardiac electro-physiology

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiology (general) (92C30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Computational methods for problems pertaining to biology (92-08)

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Cites Work

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• Well-posedness and long time behavior of the non-isothermal viscous Cahn-Hilliard equation with dynamic boundary conditions
• A Coupled System of PDEs and ODEs Arising in Electrocardiograms Modeling
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