An organizing center in a planar model of neuronal excitability

Details An organizing center in a planar model of neuronal excitability An organizing center in a planar model of neuronal excitability

2012-04-25

arxiv.org/abs/1204.5686v1

Mathematics

Dynamical Systems

Scientific paper

The paper studies the excitability properties of a generalized FitzHugh-Nagumo model. The model differs from the purely competitive 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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