Multiscale Analysis of Myelinated Axons

DOI10.1007/978-3-030-62030-1_2zbMath1478.35021OpenAlexW3127458523MaRDI QIDQ5860624

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

Publication date: 22 November 2021

Published in: Emerging Problems in the Homogenization of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-62030-1_2

zbMATH Keywords

periodic microstructurealternating myelinated and unmyelinated partsone-dimensional nonlinear cable equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Neural biology (92C20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (1)

Derivation of a bidomain model for bundles of myelinated axons

Cites Work

• Boundary integral formulation and semi-implicit scheme coupling for modeling cells under electrical stimulation
• Semigroups of linear operators and applications to partial differential equations
• Derivation of cable equation by multiscale analysis for a model of myelinated axons
• Global existence and uniqueness of a three-dimensional model of cellular electrophysiology
• Extending Cable Theory to Heterogeneous Dendrites
• On an extension of the method of two-scale convergence and its applications
• Two-scale convergence in thin domains with locally periodic rapidly oscillating boundary
• Multiple traces formulation and semi-implicit scheme for modelling biological cells under electrical stimulation

This page was built for publication: Multiscale Analysis of Myelinated Axons