%0 Journal Article %T Spatio-temporal averaging for a class of hybrid systems. Application to conductance-based neuron models %A Alexandre Genadot %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1403.1751v2