TY - JOUR
T1 - Derivation of a bidomain model for bundles of myelinated axons
AU - Jerez-Hanckes, Carlos
AU - Martínez Ávila, Isabel A.
AU - Pettersson, Irina
AU - Rybalko, Volodymyr
N1 - Funding Information:
This work is supported by Swedish Foundation for International Cooperation in Research and Higher education (STINT) with Agencia Nacional de Investigación y Desarrollo (ANID), Chile , through project CS2018-7908 (El Nervio – Modeling Of Ephaptic Coupling Of Myelinated Neurons) and Wenner-Gren Foundation .
Publisher Copyright:
© 2022 The Author(s)
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
UR - http://www.scopus.com/inward/record.url?scp=85141704234&partnerID=8YFLogxK
U2 - 10.1016/j.nonrwa.2022.103789
DO - 10.1016/j.nonrwa.2022.103789
M3 - Article
AN - SCOPUS:85141704234
VL - 70
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
SN - 1468-1218
M1 - 103789
ER -