经颅磁声刺激下分数阶扩展Hindmarsh-Rose神经元放电特性分析  

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

作　　者：赵松 刘丹 罗小元[3] 袁毅[3] ZHAO Song;LIU Dan;LUO Xiaoyuan;YUAN Yi(Department of Medical Imaging,The Second Hospital of Hebei Medical University,Shijiazhuang 050000,China;Institute of Integrative Medicine,Hebei University of Chinese Medicine,Shijiazhuang 050000,China;Institute of Electrical Engineering,Yanshan University,Qinhuangdao 066004,China)

机构地区：[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

出　　处：《电子与信息学报》2022年第2期534-542,共9页Journal of Electronics & Information Technology

基　　金：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)。

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。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.

关 键 词：经颅磁声刺激 放电特性 分数阶 Hindmarsh-Rose神经元模型 混沌 

分 类 号：Q811.4[生物学—生物工程]