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
收藏
页码：178 / 190
页数：13
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