Bursting of Morris-Lecar neuronal model with current-feedback control

doi:10.1007/s11431-009-0040-5

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	Bursting of Morris-Lecar neuronal model with current-feedback control
	Duan LiXia 2; Lu QiShao 1; Cheng DaiZhan 3
	2009-03-01
发表期刊	SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES
ISSN	1006-9321
卷号	52 期号:3 页码:771-781
摘要	The Morris-Lecar (ML) neuronal model with current-feedback control is considered as a typical fast-slow dynamical system to study the combined influences of the reversal potential V (Ca) of Ca(2+) and the feedback current I on the generation and transition of different bursting oscillations. Two-parameter bifurcation analysis of the fast subsystem is performed in the parameter (I, V (Ca))-plane at first. Three important codimension-2 bifurcation points and some codimension-1 bifurcation curves are obtained which enable one to determine the parameter regions for different types of bursting. Next, we further divide the control parameter (V (0), V (Ca))-plane into five different bursting regions, namely, the "fold/fold" bursting region R1, the "fold/Hopf" bursting region R2, the "fold/homoclinic" bursting region R3, the "subHopf/homoclinic" bursting region R4 and the "subHopf/subHopf" bursting region R5, as well as a silence region R6. Codimension-1 and -2 bifurcations are responsible for explanation of transition mechanisms between different types of bursting. The results are instructive for further understanding the dynamical behavior and mechanisms of complex firing activities and information processing in biological nervous systems.
关键词	neuron bursting bifurcation fast-slow dynamics analysis codimension
DOI	10.1007/s11431-009-0040-5
语种	英语
资助项目	National Natural Science Foundation of China[10872014] ; National Natural Science Foundation of China[10702002]
WOS研究方向	Engineering ; Materials Science
WOS类目	Engineering, Multidisciplinary ; Materials Science, Multidisciplinary
WOS记录号	WOS:000263675900027
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7916
专题	中国科学院数学与系统科学研究院
通讯作者	Lu QiShao
作者单位	1.Beijing Univ Aeronaut & Astronaut, Sch Sci, Beijing 100191, Peoples R China 2.N China Univ Technol, Coll Sci, Beijing 100144, Peoples R China 3.Chinese Acad Sci, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Duan LiXia,Lu QiShao,Cheng DaiZhan. Bursting of Morris-Lecar neuronal model with current-feedback control[J]. SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES,2009,52(3):771-781.
APA	Duan LiXia,Lu QiShao,&Cheng DaiZhan.(2009).Bursting of Morris-Lecar neuronal model with current-feedback control.SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES,52(3),771-781.
MLA	Duan LiXia,et al."Bursting of Morris-Lecar neuronal model with current-feedback control".SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES 52.3(2009):771-781.