Firing Characteristics Analysis of the Fractional-order Extended Hindmarsh-Rose Neuronal Model under Transcranial Magneto-Acoustical Stimulation

ZHAO Song; LIU Dan; LUO Xiaoyuan; YUAN Yi

doi:10.11999/JEIT210097

Volume 44 Issue 2

Feb. 2022

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ZHAO Song, LIU Dan, LUO Xiaoyuan, YUAN Yi. Firing Characteristics Analysis of the Fractional-order Extended Hindmarsh-Rose Neuronal Model under Transcranial Magneto-Acoustical Stimulation[J]. Journal of Electronics & Information Technology, 2022, 44(2): 534-542. doi: 10.11999/JEIT210097

Citation:

ZHAO Song, LIU Dan, LUO Xiaoyuan, YUAN Yi. Firing Characteristics Analysis of the Fractional-order Extended Hindmarsh-Rose Neuronal Model under Transcranial Magneto-Acoustical Stimulation[J]. Journal of Electronics & Information Technology, 2022, 44(2): 534-542. doi: 10.11999/JEIT210097

Citation:

ZHAO Song, LIU Dan, LUO Xiaoyuan, YUAN Yi. Firing Characteristics Analysis of the Fractional-order Extended Hindmarsh-Rose Neuronal Model under Transcranial Magneto-Acoustical Stimulation[J]. Journal of Electronics & Information Technology, 2022, 44(2): 534-542. doi: 10.11999/JEIT210097

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Firing Characteristics Analysis of the Fractional-order Extended Hindmarsh-Rose Neuronal Model under Transcranial Magneto-Acoustical Stimulation

doi: 10.11999/JEIT210097

1.
Department of Medical Imaging, The Second Hospital of Hebei Medical University, Shijiazhuang 050000, China
2.
Institute of Integrative Medicine, Hebei University of Chinese Medicine, Shijiazhuang 050000, China
3.
Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China

Funds: The National Natural Science Foundation of China (61873228), The Technology and People's Livelihood Project of Key Research and Development Program of Hebei Province (20377789D), The Key Science and Technology Research Project of Hebei Provincial Health Commission (20210446)

Received Date: 2021-01-26
Rev Recd Date: 2021-09-16

Available Online: 2021-09-29

Publish Date: 2022-02-25

Abstract

Abstract

In this paper, the firing modes and spike frequencies of the fractional-order extended Hindmarsh-Rose(HR) neuronal model under Transcranial Magneto-Acoustical Stimulation (TMAS) are investigated. The TMAS with different parameters generate different alternating current and further have various effect on the firing characteristics of the neuronal model. To address the effect of TMAS on firing characteristics under different ultrasound and magnetic field parameters, the membrane potential curves and bifurcation diagrams are exhibited and analyzed. The results show that the firing mode and spike frequency are strongly dependent on the ultrasonic and magnetic field intensities. It is also found that there is no influence of the ultrasonic frequency on the firing mode, though it changes the firing frequency over a small range. Moreover, compared with the integer-order neuronal model, the fractional-order extended HR neuronal model exhibits more variable firing modes and more complex discharge rhythms. These conclusions reveal the influencing mechanism of TMAS and can be taken as theoretical basis for TMAS experimental and clinical application.
- Transcranial Magneto-Acoustical Stimulation (TMAS),
- Firing characteristics,
- Fractional-order,
- Hindmarsh-Rose (HR) neuronal model,
- Chaos

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References(29)

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