Derivation of a bidomain model for bundles of myelinated axons

TL;DR

This paper rigorously derives a macroscopic bidomain model for nerve fascicles of myelinated axons, linking microscopic membrane dynamics to large-scale electrical behavior using advanced mathematical techniques.

Contribution

It introduces a novel multiscale derivation of a bidomain model from microscopic FitzHugh-Nagumo dynamics employing two-scale convergence and monotone operator methods.

Findings

Successful derivation of a macroscopic bidomain model

Mathematically rigorous connection between micro and macro scales

Framework applicable to other multiscale biological systems

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.