Spatio-temporal averaging for a class of hybrid systems and application to conductance-based neuron models. (November 2016)

• Record Type: Journal Article
• Authors: Genadot, Alexandre
• Is Part Of: Nonlinear analysis. Volume 22(2016)
• Page Start: 178
• Page End: 190
• Publication Date: 2016-11
• Subjects: Stochastic averaging -- Hybrid systems -- Bio-physiological model; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2016.03.003
• Languages: English
• ISSNs: 1751-570X

Abstract

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.