hal-00723691, version 1

A surface-based electrophysiology model relying on asymptotic analysis and motivated by cardiac atria modeling

Dominique Chapelle () ¹, Annabelle Collin () ¹, Jean-Frédéric Gerbeau () ²

• 1:  MACS (INRIA Saclay - Ile de France)
• https://www.rocq.inria.fr/MACS/
  INRIA Bât Alan Turing, Campus de l'Ecole Polytechnique, 1 rue Honoré d'Estienne d'orves, 91120 Palaiseau (France) France
• 2:  REO (INRIA Paris-Rocquencourt)
• 
  INRIA – Laboratoire Jacques-Louis Lions France

Available versions :  v1 (2012-08-13) v2 (2013-02-20) v3 (2013-04-24)

Bibliographic reference

• Type of document: Documents without publication reference (Preprint)
• Domain: Mathematics/Numerical Analysis
• Title: A surface-based electrophysiology model relying on asymptotic analysis and motivated by cardiac atria modeling
• Abstract: Computational electrophysiology is a very active field with tremendous potential in medical applications, albeit leads to highly intensive simulations. We here propose a surface-based electrophysiology formulation, motivated by the modeling of thin structures such as cardiac atria, which greatly reduces the size of the computational models. Moreover, our model is specifically devised to retain the key features associated with the anisotropy in the diffusion effects induced by the fiber architecture, with rapid variations across the thickness which cannot be adequately represented by naive averaging strategies. Our proposed model relies on a detailed asymptotic analysis in which we identify a limit model and establish strong convergence results. We also provide detailed numerical assessments which confirm an excellent accuracy of the surface-based model -- compared with the reference 3D model -- including in the representation of a complex phenomenon, namely, spiral waves.
• Full text language: English
• Keywords: Computational electrophysiology – Asymptotic analysis – Thin domains – Cardiac modeling

Attached file list to this document: 

• hal-00723691, version 1
• http://hal.inria.fr/hal-00723691
• oai:hal.inria.fr:hal-00723691
• From: Dominique Chapelle <>
• Submitted on: Monday, 13 August 2012 11:31:47
• Updated on: Monday, 13 August 2012 15:47:00