@article{7c3bc57eb25b44b4833221c2c932274a,
title = "Derivation of a bidomain model for bundles of myelinated axons",
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.",
keywords = "Bidomain model, Degenerate evolution equation, FitzHugh–Nagumo model, Multiscale analysis, Myelinated axons, Nerve fascicle",
author = "Carlos Jerez-Hanckes and {Mart{\'i}nez {\'A}vila}, {Isabel A.} and Irina Pettersson and Volodymyr Rybalko",
note = "Funding Information: This work is supported by Swedish Foundation for International Cooperation in Research and Higher education (STINT) with Agencia Nacional de Investigaci{\'o}n y Desarrollo (ANID), Chile , through project CS2018-7908 (El Nervio – Modeling Of Ephaptic Coupling Of Myelinated Neurons) and Wenner-Gren Foundation . Publisher Copyright: {\textcopyright} 2022 The Author(s)",
year = "2023",
month = apr,
doi = "10.1016/j.nonrwa.2022.103789",
language = "English",
volume = "70",
journal = "Nonlinear Analysis: Real World Applications",
issn = "1468-1218",
publisher = "Elsevier BV",
}