Spatio-temporal averaging for a class of hybrid systems. Application to conductance-based neuron models

2014/03/07 by Genadot, Alexandre
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1403.1751

Abstract

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.

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