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

文献类型：期刊论文

作者Duan LiXia2; Lu QiShao1; Cheng DaiZhan3
刊名SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES
出版日期2009-03-01
卷号52期号:3页码:771-781
关键词neuron bursting bifurcation fast-slow dynamics analysis codimension
ISSN号1006-9321
DOI10.1007/s11431-009-0040-5
英文摘要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.
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
语种英语
WOS记录号WOS:000263675900027
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/7915]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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