Derivation of a bidomain model for bundles of myelinated axons

Jerez-Hanckes, Carlos; avila, Isabel A. Martinez; Pettersson, Irina; Rybalko, Volodymyr

Derivation of a bidomain model for bundles of myelinated axons

Date

2023

Authors

Jerez-Hanckes, Carlos

avila, Isabel A. Martinez

Pettersson, Irina

Rybalko, Volodymyr

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. (c) 2022 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

Keywords

Nerve fascicle, Myelinated axons, Bidomain model, FitzHugh-Nagumo model, Multiscale analysis, Degenerate evolution equation

URI

https://doi.org/10.1016/j.nonrwa.2022.103789
https://repositorio.uc.cl/handle/11534/92562

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