Taking control of initiated propagating wave in a neuronal network using magnetic radiation | |
Rostami, Zahra1; Viet-Thanh Pham2; Jafari, Sajad1; Hadaeghi, Fatemeh3; Ma, Jun4 | |
2018-12 | |
发表期刊 | APPLIED MATHEMATICS AND COMPUTATION |
ISSN | 0096-3003 |
卷号 | 338页码:141-151 |
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. |
关键词 | Magnetic radiation Spatiotemporal wave Neuronal network Magnetic Hindmarsh-Rose mode |
DOI | 10.1016/j.amc.2018.06.004 |
收录类别 | SCI ; SCIE |
语种 | 英语 |
资助项目 | Iran National Science Foundation[96000815] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000441871500012 |
出版者 | ELSEVIER SCIENCE INC |
EI入藏号 | 20182605375036 |
EI主题词 | Neural networks |
EI分类号 | 461.2 Biological Materials and Tissue Engineering - 461.9 Biology - 701.2 Magnetism: Basic Concepts and Phenomena |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://ir.lut.edu.cn/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. |
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