Derivation of a bidomain model for bundles of myelinated axons. (April 2023)

• Record Type: Journal Article
• Authors: Jerez-Hanckes, Carlos; Martínez Ávila, Isabel A.; Pettersson, Irina; Rybalko, Volodymyr
• Is Part Of: Nonlinear analysis. Volume 70(2023)
• Publication Date: 2023-04
• Subjects: Nerve fascicle -- Myelinated axons -- Bidomain model -- FitzHugh–Nagumo model -- Multiscale analysis -- Degenerate evolution equation; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2022.103789
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: The work concerns the multiscale modeling of a nerve fascicle of myelinated axons. We present a rigorous derivation of a macroscopic bidomain model describing the behavior of the electric potential in the fascicle based on the FitzHugh–Nagumo membrane dynamics. The approach is based on the two-scale convergence machinery combined with the method of monotone operators.