English

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

Probability 2015-11-26 v2

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.

Keywords

Cite

@article{arxiv.1403.1751,
  title  = {Spatio-temporal averaging for a class of hybrid systems. Application to conductance-based neuron models},
  author = {Alexandre Genadot},
  journal= {arXiv preprint arXiv:1403.1751},
  year   = {2015}
}

Comments

17 pages, 1 figure