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

被引：2

作者：

Genadot, Alexandre ^{[1
]}

机构：

[1] Univ Bordeaux, Inst Math Bordeaux UMR 5251, 351 Cours Liberat, F-33405 Talence, France

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2016年 / 22卷

关键词：

Stochastic averaging; Hybrid systems; Bio-physiological model; SIMULATION; EQUATIONS;

D O I：

10.1016/j.nahs.2016.03.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：178 / 190

页数：13

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