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arXiv · 2206.04368

Derivation of a bidomain model for bundles of myelinated axons

Carlos Jerez-Hanckes·Isabel A. Martínez Ávila·Irina Pettersson·Volodymyr Rybalko
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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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Carlos Jerez-Hanckes, Isabel A. Martínez Ávila, Irina Pettersson, Volodymyr Rybalko. 2022-06-09. Derivation of a bidomain model for bundles of myelinated axons. https://arxiv.org/abs/2206.04368

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