Different types of bursting in Chay neuronal model  

作　　者：YANG ZhuoQin LU QiShao 

机构地区：[1]School of Science&LMIB of Ministry of Education of China,Beijing University of Aeronautics and Astro-nautics,Beijing 100083,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2008年第6期687-698,共12页中国科学：物理学、力学、天文学（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos. 10432010, 10526002 and 10702002)

摘　　要：Based on actual neuronal firing activities, bursting in the Chay neuronal model is considered, in which VK, reversal potentials for K+, VC, reversal potentials for Ca2+, time kinetic constant λn and an additional depolarized current I are considered as dynamical parameters. According to the number of the Hopf bifurcation points on the upper branch of the bifurcation curve of fast subsystem, which is associated with the stable limit cycle corresponding to spiking states, different types of bursting and their respective dynamical behavior are surveyed by means of fast-slow dynamical bifurcation analysis.Based on actual neuronal firing activities, bursting in the Chay neuronal model is considered, in which V K, reversal potentials for K+, V C, reversal potentials for Ca2+, time kinetic constant λ n and an additional depolarized current I are considered as dynamical parameters. According to the number of the Hopf bifurcation points on the upper branch of the bifurcation curve of fast subsystem, which is associated with the stable limit cycle corresponding to spiking states, different types of bursting and their respective dynamical behavior are surveyed by means of fast-slow dynamical bifurcation analysis.

关 键 词：NEURONAL model BURSTING fast-slow DYNAMICS BIFURCATION 

分 类 号：O193[理学—数学]