Derivation of a bidomain model for bundles of myelinated axons

2022/06/09 by Carlos Jerez-Hanckes, Isabel A. Martínez Ávila, Jerez-Hanckes, Carlos +5 · 1 citation
Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #Force Microscopy Techniques and Applications #Cellular Mechanics and Interactions #Advanced Electron Microscopy Techniques and Applications

paper · pdf · doi:10.48550/arxiv.2206.04368

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.

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