Three scale unfolding homogenization method applied to cardiac bidomain model

DOI10.1007/s10440-021-00459-6zbMath1477.35279arXiv2201.03914OpenAlexW4200078864MaRDI QIDQ2064654

Mazen Saad, Mostafa Bendahmane, Raafat Talhouk, Fakhrielddine Bader

Publication date: 6 January 2022

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

Full work available at URL: https://arxiv.org/abs/2201.03914

zbMATH Keywords

convergencereaction-diffusion systemhomogenization theorybidomain modelperiodic unfolding methoddouble-periodic media

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiology (general) (92C30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Microscopic tridomain model of electrical activity in the heart with dynamical gap junctions. I: Modeling and well-posedness ⋮ Microscopic tridomain model of electrical activity in the heart with dynamical gap junctions. Part 2 – Derivation of the macroscopic tridomain model by unfolding homogenization method

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