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

doi:10.1088/1674-1056/ac9cc0

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.

Keywords: electric field Fourier-coefficient neuronal dynamics vibrational resonance

Received: 16 August 2022
Revised: 29 September 2022
Accepted manuscript online: 21 October 2022

PACS:	87.19.ll	(Models of single neurons and networks)
	87.18.Sn	(Neural networks and synaptic communication)
	87.19.ln	(Oscillations and resonance)
	87.19.lg	(Synapses: chemical and electrical (gap junctions))

Fund: 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).

Corresponding Authors: Xiaoxia Li
E-mail: lixiaoxia@hebut.edu.cn

Cite this article:

Xiaoxia Li(李晓霞), Xiaopeng Xue(薛小鹏), Dongjie Liu(刘栋杰), Tianyi Yu(余天意), Qianqian He(何倩倩), and Guizhi Xu(徐桂芝) Effects of electric field on vibrational resonances in Hindmarsh-Rose neuronal systems for signal detection 2023 Chin. Phys. B 32 048701

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

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