Výsledky vyhledávání - "Fakhrielddine Bader"

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

Autor: Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad, Raafat Talhouk

Publikováno v: Asymptotic Analysis
Asymptotic Analysis, 2022, pp.1-32. ⟨10.3233/ASY-221804⟩

We study the homogenization of a novel microscopic tridomain system, allowing for a more detailed analysis of the properties of cardiac conduction than the classical bidomain and monodomain models. In (Acta Appl.Math. 179 (2022) 1--35), we detail thi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f645e626741e0865f341d589b0a6b8c3
http://arxiv.org/abs/2209.07169

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Microscopic Tridomain Model of Electrical Activity in the Heart with Dynamical Gap Junctions. Part 1 -- Modeling and Well-Posedness

Autor: Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad, Raafat Talhouk

Publikováno v: Acta Applicandae Mathematicae
Acta Applicandae Mathematicae, 2022, 179 (11), ⟨10.1007/s10440-022-00498-7⟩

International audience; We present a novel microscopic tridomain model describing the electrical activity in cardiac tissue with dynamical gap junctions. The microscopic tridomain system consists of three PDEs modeling the tissue electrical conductio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5884642218753766dfe4b54076c107fe
http://arxiv.org/abs/2205.15605

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Three Scale Unfolding Homogenization Method Applied to Cardiac Bidomain Model

Autor: Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad, Raafat Talhouk

Publikováno v: Acta Applicandae Mathematicae
Acta Applicandae Mathematicae, 2021, 176 (1), pp.14. ⟨10.1007/s10440-021-00459-6⟩
Acta Applicandae Mathematicae, Springer Verlag, 2021, 176 (1), pp.14. ⟨10.1007/s10440-021-00459-6⟩

In this paper, we are dealing with a rigorous homogenization result at two different levels for the bidomain model of cardiac electro-physiology. The first level associated with the mesoscopic structure such that the cardiac tissue consists of extrac

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95dc0dcded7c0d58ad105a264720a21a
http://arxiv.org/abs/2201.03914

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Derivation of a new macroscopic bidomain model including three scales for the electrical activity of cardiac tissue

Autor: Fakhrielddine Bader, Raafat Talhouk, Mostafa Bendahmane, Mazen Saad

Publikováno v: Journal of Engineering Mathematics
Journal of Engineering Mathematics, 2021, 131 (1), pp.3. ⟨10.1007/s10665-021-10174-8⟩
Journal of Engineering Mathematics, Springer Verlag, 2021, 131 (1), pp.3. ⟨10.1007/s10665-021-10174-8⟩

International audience; In the present paper, a new three-scale asymptotic homogenization method is proposed to study the electrical behavior of the cardiac tissue structure with multiple heterogeneities at two different levels. The first level is as

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f28c2e9c37b79fe706b9aa6de579ba32
https://doi.org/10.1007/s10665-021-10174-8

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