Derivation of a bidomain model for bundles of myelinated axons
Journal article, 2023
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.
Myelinated axons
FitzHugh–Nagumo model
Bidomain model
Nerve fascicle
Multiscale analysis
Degenerate evolution equation
Author
Carlos Jerez-Hanckes
Adolfo Ibáñez University
Isabel A. Martínez Ávila
Pontificia Universidad Catolica de Chile
Irina Pettersson
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Volodymyr Rybalko
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Institute for Low Temperature Physics and Engineering
Nonlinear Analysis: Real World Applications
1468-1218 (ISSN)
Vol. 70 103789Subject Categories
Applied Mechanics
Vehicle Engineering
Mathematical Analysis
DOI
10.1016/j.nonrwa.2022.103789