Spatio-temporal averaging for a class of hybrid systems and application to conductance-based neuron models

Alexandre Genadot (1, 2)

1 CQFD - Quality control and dynamic reliability
2 IMB - Institut de Mathématiques de Bordeaux

We obtain a limit theorem endowed with quantitative estimates for a general class of infinite dimensional hybrid processes with intrinsically two different time scales and including a population. As an application, we consider a large class of conductance-based neuron models describing the nerve impulse propagation along a neural cell at the scales of ion channels.

Mots clés: Stochastic averaging; Hybrid systems; Bio-physiological model

Domaines: Probabilités [math.PR]

Alexandre Genadot. Spatio-temporal averaging for a class of hybrid systems and application to conductance-based neuron models. Nonlinear Analysis: Hybrid Systems, 2016, 22, pp.176-190. ⟨10.1016/j.nahs.2016.03.003⟩. ⟨hal-01414107⟩