CUED Publications database

An organizing center in a planar model of neuronal excitability

Franci, A and Drion, G and Sepulchre, R (2012) An organizing center in a planar model of neuronal excitability. SIAM Journal on Applied Dynamical Systems, 11. pp. 1698-1722. ISSN 1536-0040

Full text not available from this repository.

Abstract

This paper studies the excitability properties of a generalized FitzHugh-Nagumo model. The model differs from the classical FitzHugh-Nagumo model in that it accounts for the effect of cooperative gating variables such as activation of calcium currents. Excitability is explored by unfolding a pitchfork bifurcation that is shown to organize five different types of excitability. In addition to the three classical types of neuronal excitability, two novel types are described and distinctly associated to the presence of cooperative variables. © 2012 Society for Industrial and Applied Mathematics.

Item Type: Article
Uncontrolled Keywords: Bifurcation unfolding Competitive and cooperative variables Neuronal excitability Planar neuron model Voltage-gated calcium channels
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:28
Last Modified: 08 Dec 2014 02:19
DOI: 10.1137/120875016