中国物理B ›› 2023, Vol. 32 ›› Issue (4): 48701-048701.doi: 10.1088/1674-1056/ac9cc0

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Effects of electric field on vibrational resonances in Hindmarsh-Rose neuronal systems for signal detection

Xiaoxia Li(李晓霞)1,3,†, Xiaopeng Xue(薛小鹏)2, Dongjie Liu(刘栋杰)1,3, Tianyi Yu(余天意)1,3, Qianqian He(何倩倩)2, and Guizhi Xu(徐桂芝)1,2,3   

  1. 1 State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300130, China;
    2 School of Health Sciences&Biomedical Engineering, Hebei University of Technology, Tianjin 300130, China;
    3 Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province, Hebei University of Technology, Tianjin 300130, China
  • 收稿日期:2022-08-16 修回日期:2022-09-29 接受日期:2022-10-21 出版日期:2023-03-10 发布日期:2023-03-30
  • 通讯作者: Xiaoxia Li E-mail:lixiaoxia@hebut.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 51737003 and 51977060) and the Natural Science Foundation of Hebei Province, China (Grant No. E2011202051).

Effects of electric field on vibrational resonances in Hindmarsh-Rose neuronal systems for signal detection

Xiaoxia Li(李晓霞)1,3,†, Xiaopeng Xue(薛小鹏)2, Dongjie Liu(刘栋杰)1,3, Tianyi Yu(余天意)1,3, Qianqian He(何倩倩)2, and Guizhi Xu(徐桂芝)1,2,3   

  1. 1 State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300130, China;
    2 School of Health Sciences&Biomedical Engineering, Hebei University of Technology, Tianjin 300130, China;
    3 Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province, Hebei University of Technology, Tianjin 300130, China
  • Received:2022-08-16 Revised:2022-09-29 Accepted:2022-10-21 Online:2023-03-10 Published:2023-03-30
  • Contact: Xiaoxia Li E-mail:lixiaoxia@hebut.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 51737003 and 51977060) and the Natural Science Foundation of Hebei Province, China (Grant No. E2011202051).

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摘要： Changes in the concentration of charged ions in neurons can generate induced electric fields, which can further modulate cell membrane potential. In this paper, Fourier coefficients are used to investigate the effect of electric field on vibrational resonance for signal detection in a single neuron model and a bidirectionally coupled neuron model, respectively. The study found that the internal electric field weakens vibrational resonance by changing two factors, membrane potential and phase-locked mode, while the periodic external electric field of an appropriate frequency significantly enhances the vibrational resonance, suggesting that the external electric field may play a constructive role in the detection of weak signals in the brain and neuronal systems. Furthermore, when the coupling of two neurons is considered, the effect of the electric field on the vibrational resonance is similar to that of a single neuron. The paper also illustrates the effect of electric field coupling on vibrational resonance. This study may provide a new theoretical basis for understanding information encoding and transmission in neurons.

关键词: electric field, Fourier-coefficient, neuronal dynamics, vibrational resonance

Abstract: Changes in the concentration of charged ions in neurons can generate induced electric fields, which can further modulate cell membrane potential. In this paper, Fourier coefficients are used to investigate the effect of electric field on vibrational resonance for signal detection in a single neuron model and a bidirectionally coupled neuron model, respectively. The study found that the internal electric field weakens vibrational resonance by changing two factors, membrane potential and phase-locked mode, while the periodic external electric field of an appropriate frequency significantly enhances the vibrational resonance, suggesting that the external electric field may play a constructive role in the detection of weak signals in the brain and neuronal systems. Furthermore, when the coupling of two neurons is considered, the effect of the electric field on the vibrational resonance is similar to that of a single neuron. The paper also illustrates the effect of electric field coupling on vibrational resonance. This study may provide a new theoretical basis for understanding information encoding and transmission in neurons.

Key words: electric field, Fourier-coefficient, neuronal dynamics, vibrational resonance

中图分类号:  (Models of single neurons and networks)

  • 87.19.ll
87.18.Sn (Neural networks and synaptic communication) 87.19.ln (Oscillations and resonance) 87.19.lg (Synapses: chemical and electrical (gap junctions))