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Chin. Phys. B, 2020, Vol. 29(3): 030504    DOI: 10.1088/1674-1056/ab7441
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Dynamical response of a neuron-astrocyte coupling system under electromagnetic induction and external stimulation

Zhi-Xuan Yuan(袁治轩), Pei-Hua Feng(冯沛华), Meng-Meng Du(独盟盟), Ying Wu(吴莹)
State Key Laboratory for Strength and Vibration of Mechanical Structures, Shaanxi Engineering Laboratory for Vibration Control of Aerospace Structures, School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an 710049, China
Abstract  Previous studies have observed that electromagnetic induction can seriously affect the electrophysiological activity of the nervous system. Considering the role of astrocytes in regulating neural firing, we studied a simple neuron-astrocyte coupled system under electromagnetic induction in response to different types of external stimulation. Both the duration and intensity of the external stimulus can induce different modes of electrical activity in this system, and thus the neuronal firing patterns can be subtly controlled. When the external stimulation ceases, the neuron will continue to fire for a long time and then reset to its resting state. In this study, “delay” is defined as the delayed time from the firing state to the resting state, and it is highly sensitive to changes in the duration or intensity of the external stimulus. Meanwhile, the self-similarity embodied in the aforementioned sensitivity can be quantified by fractal dimension. Moreover, a hysteresis loop of calcium activity in the astrocyte is observed in the specific interval of the external stimulus when the stimulus duration is extended to infinity, since astrocytic calcium or neuron electrical activity in the resting state or during periodic oscillation depends on the initial state. Finally, the regulating effect of electromagnetic induction in this system is considered. It is clarified that the occurrence of “delay” depends purely on the existence of electromagnetic induction. This model can reveal the dynamic characteristics of the neuron-astrocyte coupling system with magnetic induction under external stimulation. These results can provide some insights into the effects of electromagnetic induction and stimulation on neuronal activity.
Keywords:  delay      fractal      bistability      electromagnetic induction  
Received:  23 September 2019      Revised:  05 January 2020      Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  64.70.qj (Dynamics and criticality)  
  87.19.L- (Neuroscience)  
  87.19.lk (Glia)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11772242) and China Postdoctoral Science Foundation (Grant No. 2018M631140).
Corresponding Authors:  Ying Wu     E-mail:  wying36@xjtu.edu.cn

Cite this article: 

Zhi-Xuan Yuan(袁治轩), Pei-Hua Feng(冯沛华), Meng-Meng Du(独盟盟), Ying Wu(吴莹) Dynamical response of a neuron-astrocyte coupling system under electromagnetic induction and external stimulation 2020 Chin. Phys. B 29 030504

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