The derivation of continuum limits of neuronal networks with gap-junction couplings

DOI10.3934/nhm.2014.9.111zbMath1418.34066arXiv1307.2730OpenAlexW2963121816MaRDI QIDQ480056

Anna Cattani, Claudio Canutol

Publication date: 8 December 2014

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2730

zbMATH Keywords

neuronal networksreaction-convection-diffusion equationsdiscrete-to-continuum limitelectrical synapsesFitzHigh-Nagumo model

Mathematics Subject Classification ID

Applications of graph theory (05C90) Reaction-diffusion equations (35K57) Qualitative investigation and simulation of ordinary differential equation models (34C60) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Systems biology, networks (92C42)

Uses Software

• Matlab

Cites Work

• On weighted directed graphs
• Mathematical foundations of neuroscience
• Mathematical physiology
• Mathematical biology. Vol. 1: An introduction.
• Convergence of the Galerkin approximation of a degenerate evolution problem in electrocardiology
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