Towards the modeling of the Purkinje/myocardium coupled problem: a well-posedness analysis

DOI10.1016/j.cam.2018.10.024zbMath1406.92139OpenAlexW2901814213WikidataQ128944970 ScholiaQ128944970MaRDI QIDQ1715802

W. Mbarki, S. Mani Aouadi, Néjib Zemzemi

Publication date: 29 January 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01923779/file/monodomainbidomain.pdf

zbMATH Keywords

weighted Sobolev spacesdiscrete problemsemi-implicit schememonodomain/bidomainPurkinje/myocardium

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiological flow (92C35)

Cites Work

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• A two-current model for the dynamics of cardiac membrane
• A mathematical model of the Purkinje-Muscle junctions
• ON THE COUPLING OF 1D AND 3D DIFFUSION-REACTION EQUATIONS: APPLICATION TO TISSUE PERFUSION PROBLEMS
• Stability Analysis of Decoupled Time-stepping Schemes for the Specialized Conduction System/myocardium Coupled Problem in Cardiology
• A Bidomain Model of the Ventricular Specialized Conduction System of the Heart

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