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Mode transition in electrical activities of neuron driven by high and low frequency stimulus in the presence of electromagnetic induction and radiation

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Abstract

The Hindmarsh–Rose (HR) neuron model has been improved to investigate the complex electrophysiological and various physical phenomena at the level of single cell, for example, time-varying action potential can be induced by the exchange of ion currents and the fluctuation of ions concentration in the cell. When the magnetic flux is considered as a new variable associated to magnetic field, the improved HR neuron model can describe the effects of electromagnetic induction and radiation on membrane potential, where a memristor is used to bridge the membrane potential and the magnetic flux. In this paper, considering the magnetic flux driven, respectively, by the periodic high and low frequency electromagnetic radiation and the Gaussian white noise, the improved HR neuron model is employed to study the modes transition in electrical activities of neuron. The thought-provoking phenomena are detected and discussed by using bifurcation analysis on sampled time series of membrane potential. It is found that the electrical modes of HR neuron model under various parameters have different responses to the periodic high–low frequency electromagnetic radiation and the Gaussian white noise.

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Acknowledgements

The authors gratefully acknowledge Prof. Jun Ma from Lanzhou University of Technology for the constructive suggestions. This work was supported by the National Natural Science Foundation of China under 11775091 and 11474117.

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Authors and Affiliations

  1. Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan, 430079, China

    Mengyan Ge, Ya Jia, Ying Xu & Lijian Yang

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  1. Mengyan Ge
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  2. Ya Jia
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  3. Ying Xu
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  4. Lijian Yang
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Correspondence to Ya Jia.

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Ge, M., Jia, Y., Xu, Y. et al. Mode transition in electrical activities of neuron driven by high and low frequency stimulus in the presence of electromagnetic induction and radiation. Nonlinear Dyn 91, 515–523 (2018). https://doi.org/10.1007/s11071-017-3886-2

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  • DOI: https://doi.org/10.1007/s11071-017-3886-2

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