Bidomain Model for Axon Bundles with Random Geometry
Paper in proceeding, 2023
In this work a homogenized model for signal propagation in fascicles comprising many identical bundled axons is obtained. We consider the case when the axons are circular cylinders, and their centers in the cross section of the bundle are randomly distributed. For the action potential, we assume the FitzHugh-Nagumo dynamics on the axons’ membranes. Combining the tools of stochastic homogenization and the method of monotone operators, we derive a macroscopic bidomain model describing the action potential in the fascicle.
Axon bundle
FitzHugh-Nagumo model
Bidomain model
Random geometry
Author
Irina Pettersson
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Antonina Rybalko
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Volodymyr Rybalko
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Published in
Springer Proceedings in Mathematics and Statistics
21941009 (ISSN) 21941017 (eISSN)
Vol. 429 p. 93-1169783031358708 (ISBN)
Conference
Annual workshops for Swedish Alumni Club of Japan Society for the Promotion of Science, JSPS/SAC 2021 and 2022
Virtual, Online, , 2022-03-16 - 2022-03-17
Virtual, Online, , 2022-03-16 - 2022-03-17
Research Project(s)
EINervio - Modeling of ephaptic coupling of myelinated neurons
The Swedish Foundation for International Cooperation in Research and Higher Education (STINT) (CS2018-7908), 2020-06-01 -- 2022-06-30.
Levande cellers matematik
Swedish Foundation for Strategic Research (SSF) (UKR22-0004), 2022-04-08 -- 2024-10-08.
Categorizing
Subject Categories (SSIF 2011)
Mathematical Analysis
Identifiers
DOI
10.1007/978-3-031-35871-5_6