How a neuron model can demonstrate co-existence of tonic spiking and bursting

被引：20
作者：
Cymbalyuk, GS
Calabrese, RL
Shilnikov, AL
机构：
[1] Georgia State Univ, Dept Phys & Astron, Atlanta, GA 30303 USA
[2] Emory Univ, Dept Biol, Atlanta, GA 30322 USA
[3] Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA
来源：
NEUROCOMPUTING | 2005年 / 65卷
基金：
俄罗斯基础研究基金会; 美国国家卫生研究院;
关键词：
bi-stability; bifurcations; medicinal leech; saddle orbits; homoclinics;
D O I：
10.1016/j.neucom.2004.10.107
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Tonically spiking as well as bursting neurons are frequently observed in electrophysiological experiments. The theory of slow-fast dynamical systems can describe basic scenarios of how these regimes of activity can be generated and transitions between them can be made. Here, we suggest a biophysically plausible mechanism based on homoclinic bifurcations of a saddle periodic orbit which explains a transition between tonic spiking behavior and bursting behavior in a neuron model of Hodgkin-Huxley type. Also, this mechanism is featured by the coexistence of tonic spiking and bursting oscillations. (c) 2004 Elsevier B.V. All rights reserved.
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页码：869 / 875
页数：7
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