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Journal Articles SIAM Journal on Applied Dynamical Systems Year : 2012

An Organizing Center in a Planar Model of Neuronal Excitability

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.
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Dates and versions

hal-00824991 , version 1 (22-05-2013)

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Alessio Franci, Guillaume Drion, Rodolphe Sepulchre. An Organizing Center in a Planar Model of Neuronal Excitability. SIAM Journal on Applied Dynamical Systems, 2012, 11 (4), pp.1698 - 1722. ⟨10.1137/120875016⟩. ⟨hal-00824991⟩
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