Unique wave front for dendritic spines with Nagumo dynamics
type: Item
instance of: scholarly article
title: Unique wave front for dendritic spines with Nagumo dynamics
zbMATH Open document ID: 0965.92018
DOI: 10.1016/S0025-5564(97)10006-2
author: Ying Zhou
published in: Mathematical Biosciences
publication date: 2001-07-17T00:00:00Z
review text: The FitzHugh-Nagumo system of equations is applied to a case of a dendritic spine. The existence of a unique travelling wave solution for feasible parameters is proved. The wave front travels at a slower speed for a larger spine density. Numerical simulations are presented to support the results.
Mathematics Subject Classification ID: 92C20
zbMATH DE Number: 1350875
zbMATH Keywords: dendritic spines
zbMATH Keywords: travelling wave fronts
Wikidata QID: Q52242440
MaRDI profile type: Publication
cites work: Nagumo's equation
cites work: Single and Multiple Pulse Waves for the FitzHugh–Nagumo
cites work: Q4189096
cites work: The approach of solutions of nonlinear diffusion equations to travelling front solutions
cites work: Mathematical Aspects of Hodgkin-Huxley Neural Theory
cites work: Study of propagation along nonuniform excitable fibers
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description: scientific article; zbMATH DE number 1350875