经颅磁声刺激下分数阶扩展Hindmarsh-Rose神经元放电特性分析

赵松; 刘丹; 罗小元; 袁毅

doi:10.11999/JEIT210097

经颅磁声刺激下分数阶扩展Hindmarsh-Rose神经元放电特性分析

doi: 10.11999/JEIT210097

赵松¹,
刘丹^2, ,,
罗小元³,
袁毅³

1.
河北医科大学第二医院医学影像科石家庄 050000
2.
河北中医学院中西医结合学院石家庄 050000
3.
燕山大学电气工程学院秦皇岛 066004

基金项目: 国家自然科学基金(61873228)，河北省重点研发计划民生科技专项(20377789D)，河北省卫生健康委重点科技研究计划项目(20210446)

详细信息

作者简介:
赵松：男，1984年生，硕士，主治医师，研究方向为神经系统疾病的影像学诊断及经颅脑刺激技术

刘丹：女，1986年生，博士，讲师，研究方向为神经元模型系统特性分析与同步控制

罗小元：男，1976年生，博士，教授，研究方向为水下多自主体系统及智能电网

袁毅：男，1985年生，博士，副教授，研究方向为经颅脑刺激技术与神经放电节律调节

通讯作者:
刘丹　liudan@hebcm.edu.cn

中图分类号: Q811.4
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- 被引次数: 0
出版历程
- 收稿日期: 2021-01-26
- 修回日期: 2021-09-16
- 网络出版日期: 2021-09-29
- 刊出日期: 2022-02-25

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

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)

摘要

摘要: 该文基于分数阶扩展Hindmarsh-Rose(HR)神经元模型，对其在经颅磁声刺激(TMAS)影响下的放电模式和放电频率进行了分析研究。作为神经元的外部刺激输入，具有不同磁声参数的经颅磁声刺激产生的交变电流会对神经元的放电特性产生不同的影响。通过对不同磁感应强度、超声强度以及超声频率下神经元的膜电位曲线以及以磁声参数为变量的峰峰间隔分岔图进行定量分析可知，分数阶扩展HR神经元模型放电模式和放电节律的调节可通过改变经颅磁声刺激的磁感应强度和超声强度来实现。然而，超声频率的改变不会对神经元放电模式产生影响，但其取值变化会在小范围内影响神经元的放电频率。此外，通过对比分数阶与整数阶神经元在不同磁声参数交变电流刺激下的放电特性可知，分数阶扩展HR神经元模型具有更多变的放电模式和更复杂的放电节律。该文的结论有利于了解经颅磁声刺激的影响机制，进而为其实验和临床应用提供理论依据。
- 经颅磁声刺激 /
- 放电特性 /
- 分数阶 /
- Hindmarsh-Rose神经元模型 /
- 混沌
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

HTML全文

图 1 不同磁感应强度下的神经元膜电位${x_1}$时间响应曲线

下载: 全尺寸图片幻灯片

图 2 不同磁感应强度下的神经元模型变量${x_1}{x_2}{x_3}$相图

下载: 全尺寸图片幻灯片

图 3 不同磁感应强度下分数阶与整数阶神经元膜电位峰峰间距分岔图

下载: 全尺寸图片幻灯片

图 4 不同超声强度下的神经元膜电位${x_1}$时间响应曲线

下载: 全尺寸图片幻灯片

图 5 不同超声强度下的神经元模型变量${x_1}{x_2}{x_3}$相图

下载: 全尺寸图片幻灯片

图 6 不同超声强度下分数阶与整数阶神经元膜电位峰峰间距分岔图

下载: 全尺寸图片幻灯片

图 7 不同超声频率下的神经元膜电位${x_1}$时间响应曲线

下载: 全尺寸图片幻灯片

图 8 不同超声频率下的神经元模型变量${x_1}{x_2}{x_3}$相图

下载: 全尺寸图片幻灯片

图 9 不同超声频率下分数阶与整数阶神经元膜电位峰峰间距分岔图

下载: 全尺寸图片幻灯片

表 1 磁声参数的可调范围

磁声参数变量可调范围

B_x 0.5～3.0 T
Γ_u 0.5～15 W/cm²
f_u 100～600 kHz

下载: 导出CSV

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