We prove the existence and the uniqueness of a solution for a modified bidomain model, describing the electrical behaviour of the cardiac tissue in pathological situations. The main idea is to reduce the problem to an abstract parabolic setting, which requires to introduce several auxiliary differential systems and a non-standard bilinear form. The main difficulties are due to the degeneracy of the bidomain system and to its non-standard coupling with the diffusion equation.

Well-posedness for a modified bidomain model describing bioelectric activity in damaged heart tissues / Amar, M.; Andreucci, D.; Timofte, C.. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - 18:(2021). [10.1007/s00009-021-01839-w]

Well-posedness for a modified bidomain model describing bioelectric activity in damaged heart tissues

M. Amar;D. Andreucci;
2021

Abstract

We prove the existence and the uniqueness of a solution for a modified bidomain model, describing the electrical behaviour of the cardiac tissue in pathological situations. The main idea is to reduce the problem to an abstract parabolic setting, which requires to introduce several auxiliary differential systems and a non-standard bilinear form. The main difficulties are due to the degeneracy of the bidomain system and to its non-standard coupling with the diffusion equation.
2021
existence; uniqueness; abstract parabolic equations; bidomain model; imperfect transmission conditions
01 Pubblicazione su rivista::01a Articolo in rivista
Well-posedness for a modified bidomain model describing bioelectric activity in damaged heart tissues / Amar, M.; Andreucci, D.; Timofte, C.. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - 18:(2021). [10.1007/s00009-021-01839-w]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1404017
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