Taking control of initiated propagating wave in a neuronal network using magnetic radiation

doi:10.1016/j.amc.2018.06.004

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	Taking control of initiated propagating wave in a neuronal network using magnetic radiation
	Rostami, Zahra 1; Viet-Thanh Pham 2; Jafari, Sajad 1; Hadaeghi, Fatemeh 3; Ma, Jun 4
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2018-12
卷号	338 页码:141-151
关键词	Magnetic radiation Spatiotemporal wave Neuronal network Magnetic Hindmarsh-Rose mode
ISSN号	0096-3003
DOI	10.1016/j.amc.2018.06.004
英文摘要	The effect of magnetic radiation is essential to be studied due to its favorable or unfavorable influences especially when it comes to biological systems. In this study, some effects of an external time-varying magnetic induction on the formation of spatiotemporal patterns in a model of excitable tissue are investigated. We have designed a two-dimensional neuronal network, in which the local dynamics of the neurons are governed by the four-variable magnetic Hindmarsh-Rose (HR) neuronal model. Besides, each neuron is set to be in chaotic regime. We have examined some values of the bifurcation parameters, namely the frequency and the amplitude of the external magnetic radiation. The resulting evolutionary spatiotemporal patterns have showed that an extremely low frequency provides the tissue more opportunity to support propagation process, while low frequency confines the evolution of the wave fronts. Moreover, higher amplitude of the sinusoidal radiation caused the wave propagation be impeded by an inherent obstacle that could limit the ultimate radius of the propagated wave. The resulting collective response of the designed neuronal network is represented in snapshots and the time series of a sampled neuron are plotted, as well. (C) 2018 Elsevier Inc. All rights reserved.
资助项目	Iran National Science Foundation[96000815]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000441871500012
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32321]
专题	理学院
通讯作者	Viet-Thanh Pham
作者单位	1.Amirkabir Univ Technol, Dept Biomed Engn, Tehran 158754413, Iran 2.Ton Duc Thang Univ, Fac Elect & Elect Engn, Modeling Evolutionary Algorithms Simulat & Artifi, Ho Chi Minh City, Vietnam 3.Jacobs Univ, Dept Comp Sci & Elect Engn, Bremen gGmbH, Bremen, Germany 4.Lanzhou Univ Technol, Dept Phys, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Rostami, Zahra,Viet-Thanh Pham,Jafari, Sajad,et al. Taking control of initiated propagating wave in a neuronal network using magnetic radiation[J]. APPLIED MATHEMATICS AND COMPUTATION,2018,338:141-151.
APA	Rostami, Zahra,Viet-Thanh Pham,Jafari, Sajad,Hadaeghi, Fatemeh,&Ma, Jun.(2018).Taking control of initiated propagating wave in a neuronal network using magnetic radiation.APPLIED MATHEMATICS AND COMPUTATION,338,141-151.
MLA	Rostami, Zahra,et al."Taking control of initiated propagating wave in a neuronal network using magnetic radiation".APPLIED MATHEMATICS AND COMPUTATION 338(2018):141-151.