磁感应下Chay神经元的簇发与同步转迁  

Clustering and synchronous transition in a Chay neuron model under electromagnetic induction

作　　者：马娟娟 李新颖[2] 杨宗凯 达虎 MA Juanjuan;LI Xinying;YANG Zongkai;DA Hu(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China;School of Electronic and Information Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;Gansu Computation Center,Lanzhou 730046,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070 [2]兰州交通大学电子与信息工程学院,甘肃兰州730070 [3]甘肃省计算中心,甘肃兰州730046

出　　处：《中国医学物理学杂志》2022年第4期484-492,共9页Chinese Journal of Medical Physics

基　　金：甘肃省自然科学基金(20JR5 RA397);国家自然科学基金(11862011);甘肃省科技计划资助项目(18YF1 WA059);兰州市人才创新创业项目(2014-RC-33);甘肃省高等学校创新基金项目(2021B-107)。

摘　　要：基于神经元放电行为,首先通过快慢动力学分析研究了单个Chay神经元在电磁效应下的簇发。通过快子系统分岔曲线上分支上Hopf分岔点的个数,结合激发态对应的稳定极限环,考察了其簇发类型及其动力学行为。其次在电磁感应下以化学突触耦合的方式建立耦合神经元模型,通过数值仿真得到耦合系统的单参数及双参数分岔图,对系统放电行为以及分岔现象进行分析。最后在电磁效应和化学突触耦合的共同影响下,通过统计量相似函数,量化考察了耦合系统的同步变化及其转迁过程。电磁感应下神经元的簇动力学性质变化的结果对于电生理神经元的分析以及细胞放电的病理研究提供了手段与依据,不仅对生物体的基本活动如生物信息传递和编码有重要作用,而且也可以用来解释大脑的一些基本机能。On the basis of the firing behaviors of neurons, the clustering of a single Chay neuron under electromagnetic effect is studied by fast-slow dynamics analysis. Based on the number of Hopf bifurcation points on the branches of fast subsystem bifurcation curve and the stable limit cycle of excited state, the clustering types and dynamic behaviors are investigated.Then, a coupled neuron model is established by chemical synaptic coupling under electromagnetic induction. The single-and two-parameter bifurcation diagrams of the coupled system which are obtained by numerical simulation are used for analyzing the firing behaviors of neurons and bifurcation phenomena. Finally, under the combined effect of electromagnetic effect and chemical synaptic coupling, the synchronous change and transition process of the coupled system are quantified. The changes in the dynamic properties of clusters under electromagnetic induction provide means and basis for the analysis of electrophysiological neurons and the pathological study of cell discharge, which not only plays an important role in the basic activities of organisms, such as biological information transmission and coding, but also can be used to explain some basic functions of the brain.

关 键 词：簇发类型 快慢动力学 相似函数 双参数分析 同步 

分 类 号：R318[医药卫生—生物医学工程] O193[医药卫生—基础医学]