Transition from spiral wave to target wave and other coherent structures in the networks of Hodgkin-Huxley neurons

doi:10.1016/j.amc.2010.09.043

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	Transition from spiral wave to target wave and other coherent structures in the networks of Hodgkin-Huxley neurons
	Ma, Jun 1; Wang, Chun-Ni 1; Jin, Wu-Yin 2; Wu, Ying 3
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2010-12-15
卷号	217 期号:8 页码:3844-3852
关键词	Spiral wave Target wave Networks Factor of synchronization Hodgkin-Huxley
ISSN号	0096-3003
DOI	10.1016/j.amc.2010.09.043
英文摘要	Transition of spiral wave in the regular networks of Hodgkin-Huxley (H-H) neurons is simulated and discussed in detail when the effect of membrane temperature and forcing current is considered. Neurons are distributed in the sites of two-dimensional array, neurons are connected with complete nearest-neighbor connections, no-flux boundary conditions, appropriate initial values and physiological parameters are used to develop a stable rotating spiral wave. A statistic factor of synchronization is defined to discuss the transition and development of spiral wave in the two parameters space (membrane temperature T and forcing current I), and it is found that spiral wave keeps alive due to positive current forcing and the spiral wave can be removed completely when the temperature is increased to a threshold about T = 22.3 degrees C at a fixed current intensity. Periodical forcing current is imposed on the networks of neurons globally and locally, respectively. It is found that spiral wave could be suppressed by the new generated traveling wave or target wave when periodical forcing current is imposed on the border of networks of neurons, and the most effective frequency of the external forcing current is close to the intrinsic frequency of the spiral wave of the networks. (C) 2010 Elsevier Inc. All rights reserved.
资助项目	Natural Science of Foundation of Lanzhou University of Technology[Q200706]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000284600700016
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/35169]
专题	理学院机电工程学院
通讯作者	Ma, Jun
作者单位	1.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China 2.Lanzhou Univ Technol, Coll Mechanoelect Engn, Lanzhou 730050, Peoples R China 3.Xian Univ Technol, Sch Sci, Xian 710048, Peoples R China
推荐引用方式 GB/T 7714	Ma, Jun,Wang, Chun-Ni,Jin, Wu-Yin,et al. Transition from spiral wave to target wave and other coherent structures in the networks of Hodgkin-Huxley neurons[J]. APPLIED MATHEMATICS AND COMPUTATION,2010,217(8):3844-3852.
APA	Ma, Jun,Wang, Chun-Ni,Jin, Wu-Yin,&Wu, Ying.(2010).Transition from spiral wave to target wave and other coherent structures in the networks of Hodgkin-Huxley neurons.APPLIED MATHEMATICS AND COMPUTATION,217(8),3844-3852.
MLA	Ma, Jun,et al."Transition from spiral wave to target wave and other coherent structures in the networks of Hodgkin-Huxley neurons".APPLIED MATHEMATICS AND COMPUTATION 217.8(2010):3844-3852.