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

IR > 理学院

	Transition from spiral wave to target wave and other coherent structures in the networks of Hodgkin-Huxley neurons
	Ma, Jun1 ; Wang, Chun-Ni1 ; Jin, Wu-Yin2 ; Wu, Ying 3
	2010-12-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	217 期号:8 页码:3844-3852
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.
关键词	Spiral wave Target wave Networks Factor of synchronization Hodgkin-Huxley
DOI	10.1016/j.amc.2010.09.043
收录类别	SCI ; SCIE
语种	英语
资助项目	Natural Science of Foundation of Lanzhou University of Technology[Q200706]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000284600700016
出版者	ELSEVIER SCIENCE INC
EI入藏号	20104813435705
EI主题词	Neurons
EI分类号	461.9 Biology - 703.1 Electric Networks
引用统计	被引频次：56[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/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
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
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.