An analysis of a dendritic neuron model with an active membrane site
type: Item
instance of: scholarly article
title: An analysis of a dendritic neuron model with an active membrane site
zbMATH Open document ID: 0587.92012
DOI: 10.1007/BF00276954
author: Steven M. Baer
author: Charles Tier
published in: Journal of Mathematical Biology
publication date: 1986-01-01T00:00:00Z
review text: Considered is a mathematical model of a coupling between a passive dendrite and an active boundary (axonal or somatic) site. It is represented by a passive cable equation with a nonlinear boundary condition resuming the form of a space-clamped FitzHugh-Nagumo equation (FHNE). Bifurcation analysis is carried out for the FHNE in the cases of steady and periodic applied current and for the complex model as well, using asymptotic methods. As a result, interesting neuronal phenomena at this coupling site are described.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 92C05
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34E05
zbMATH DE Number: 3943608
zbMATH Keywords: neuron model
zbMATH Keywords: active membrane site
zbMATH Keywords: nonlinear interaction
zbMATH Keywords: firing rate
zbMATH Keywords: threshold
zbMATH Keywords: resonance
zbMATH Keywords: coupling
zbMATH Keywords: passive dendrite
zbMATH Keywords: passive cable equation
zbMATH Keywords: nonlinear boundary condition
zbMATH Keywords: space-clamped FitzHugh-Nagumo equation
describes a project that uses: AUTO
MaRDI profile type: Publication
Wikidata QID: Q52429697
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description: scientific article; zbMATH DE number 3943608