An organizing center in a planar model of neuronal excitability [article]

Alessio Franci, Guillaume Drion, Rodolphe Sepulchre
2012 arXiv   pre-print
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
more » ... ssociated to the presence of cooperative variables.
arXiv:1204.5686v1 fatcat:6lke7epwlzh3njtkke3yrimyha