We study, by means of the periodic unfolding technique, the homogenization of a modified bidomain model, which describes the propagation of the action potential in the cardiac electrophysiology. Such a model, allowing the presence of pathological zones in the heart, involves various geometries and non-standard transmission conditions on the interface between the healthy and the damaged part of the cardiac muscle.

Homogenization of a modified bidomain model involving imperfect transmission / Amar, M.; Andreucci, D.; Timofte, C.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 20:5(2021), pp. 1755-1782. [10.3934/cpaa.2021040]

Homogenization of a modified bidomain model involving imperfect transmission

M. Amar
;
D. Andreucci;
2021

Abstract

We study, by means of the periodic unfolding technique, the homogenization of a modified bidomain model, which describes the propagation of the action potential in the cardiac electrophysiology. Such a model, allowing the presence of pathological zones in the heart, involves various geometries and non-standard transmission conditions on the interface between the healthy and the damaged part of the cardiac muscle.
2021
Homogenization, time-periodic unfolding, bidomain models, imperfect transmission
01 Pubblicazione su rivista::01a Articolo in rivista
Homogenization of a modified bidomain model involving imperfect transmission / Amar, M.; Andreucci, D.; Timofte, C.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 20:5(2021), pp. 1755-1782. [10.3934/cpaa.2021040]
File allegati a questo prodotto
File Dimensione Formato  
Amar_preprint_Homogenization_2021.pdf

accesso aperto

Note: Preprint
Tipologia: Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 342.18 kB
Formato Adobe PDF
342.18 kB Adobe PDF
Amar_Homogenization_2021.pdf

solo gestori archivio

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 472.67 kB
Formato Adobe PDF
472.67 kB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1437353
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 7
social impact