Derivation of a bidomain model for bundles of myelinated axons

Carlos Jerez-Hanckes; Isabel A. Martínez Ávila; Irina Pettersson; Volodymyr Rybalko

doi:10.1016/j.nonrwa.2022.103789

Derivation of a bidomain model for bundles of myelinated axons

Carlos Jerez-Hanckes, Isabel A. Martínez Ávila, Irina Pettersson, Volodymyr Rybalko

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	103789
Journal	Nonlinear Analysis: Real World Applications
Volume	70
DOIs	https://doi.org/10.1016/j.nonrwa.2022.103789
State	Published - Apr 2023
Externally published	Yes

Keywords

Bidomain model
Degenerate evolution equation
FitzHugh–Nagumo model
Multiscale analysis
Myelinated axons
Nerve fascicle

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10.1016/j.nonrwa.2022.103789

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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",

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AU - Jerez-Hanckes, Carlos

AU - Martínez Ávila, Isabel A.

AU - Pettersson, Irina

AU - Rybalko, Volodymyr

PY - 2023/4

Y1 - 2023/4

N2 - 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.

AB - 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.

KW - Bidomain model

KW - Degenerate evolution equation

KW - FitzHugh–Nagumo model

KW - Multiscale analysis

KW - Myelinated axons

KW - Nerve fascicle

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VL - 70

JO - Nonlinear Analysis: Real World Applications

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M1 - 103789

ER -

Derivation of a bidomain model for bundles of myelinated axons

Abstract

Keywords

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