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Estimate the electrical activity in a neuron under depolarization field
Hou, Zhangliang2; Ma, Jun1,3; Zhan, Xuan2; Yang, Lijian2; Jia, Ya2
刊名Chaos, Solitons and Fractals
2021
卷号142
关键词Bifurcation (mathematics) Depolarization Lyapunov methods Neurons Bifurcation analysis Depolarization fields Electric variables Electrical activities External currents External electric field Largest Lyapunov exponent Sinusoidal currents
ISSN号09600779
DOI10.1016/j.chaos.2020.110522
英文摘要The physical electric variable is included into the known Hindmarsh-Rose (HR) model for estimating the depolarization field effect and then external current forcing is applied to detect the firing responses. Based on the proposed model, the effects of the amplitude and frequency of the sinusoidal current on the firing mode of the neuron are studied by using bifurcation analysis. It is found that there is a peak of firing interval of neurons with the increasing of stimulation current intensity. In the presence of electric field, the firing pattern of neuron is transformed from single busting to intermittent multimodal busting with the increasing of frequency and amplitude of electric field. The largest Lyapunov exponent is drawn for verification. In the absence of electric field, the two neurons coupled in the first variable achieve synchronization in busting mode. If there is an external electric field, the two neurons can achieve intermittent multimodal busting firing synchronization even without direct variable couple since the energy is injected into the coupled system by the external electric field. Our results show that the periodic external electric field and external current stimulation play an important role in the neuronal firing pattern. © 2020 Elsevier Ltd
WOS研究方向Mathematics ; Physics
语种英语
出版者Elsevier Ltd
WOS记录号WOS:000629622200095
内容类型期刊论文
源URL[http://ir.lut.edu.cn/handle/2XXMBERH/147143]  
专题兰州理工大学
作者单位1.School of Science, Chongqing University of Posts and Telecommunications, Chongqing; 430065, China
2.Department of Physics, Central China Normal University, Wuhan; 430079, China;
3.Department of Physics, Lanzhou University of Technology, Lanzhou; 730050, China;
推荐引用方式
GB/T 7714
Hou, Zhangliang,Ma, Jun,Zhan, Xuan,et al. Estimate the electrical activity in a neuron under depolarization field[J]. Chaos, Solitons and Fractals,2021,142.
APA Hou, Zhangliang,Ma, Jun,Zhan, Xuan,Yang, Lijian,&Jia, Ya.(2021).Estimate the electrical activity in a neuron under depolarization field.Chaos, Solitons and Fractals,142.
MLA Hou, Zhangliang,et al."Estimate the electrical activity in a neuron under depolarization field".Chaos, Solitons and Fractals 142(2021).
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