体系拓扑结构对耦合神经元细胞中不同放电模式的调控作用  

Regulation of Topology Structure on the Different Firing Patterns in Coupled Neuron Cells System

作　　者：张季谦[1] 汪春道[1] 胡寒筠[1] 斯小琴[1] 王业遒[1] 

机构地区：[1]安徽师范大学物理与电子信息学院,安徽芜湖241000

出　　处：《安徽师范大学学报（自然科学版）》2011年第3期221-225,共5页Journal of Anhui Normal University(Natural Science)

基　　金：安徽省自然科学基金项目(090413099);安徽高校省级自然科学研究重点项目(KJ2007A079);安徽师范大学优秀创新团队建设计划资助项目

摘　　要：本文采用Hindmarsh-Rose(HR)神经元模型构建一个复杂网络,利用仿真模拟,研究了拓扑结构对复杂耦合神经元体系的集体响应能力的影响.选取细胞膜钙离子渗透性参数r为控制参量,当设置该参量处于不同分岔点附近的临界值时,体系可呈现出丰富的点火模式。此时,若适当调节拓扑结构参数,即可实现不同模式之间的双向转变:耦合合适的细胞数目,体系的点火模式可以从分岔图中的左侧不同态跃迁到右侧不同的状态,而当添加适量的随机长程链接时,则可以实现反向的转变.这些结果表明,生物体系可能通过改变其自身的拓扑结构,借助于不同态之间的跳变方式,来实现感受外界不同刺激信号的目的.这将有助于我们进一步揭示生物体系信息过程的内在机理.By using the complex network of Hindmarsh-Rose（HR） neuronal model,we numerically investigate the effects of topology structure on the collective response in coupled cell system.In this paper we select r,the membrane permeability of the calcium ion,as a controlling parameter,and adjust the topology parameter to a proper value.It is found that the occurrence of two-way transition between different modes： If the appropriate number of cells is coupled,the firing state of the system will turn to different states from left side to right one in the region of bifurcation graph;But when adding an appropriate amount of random long-range connections,reverse transition will occur.These results suggest that biological systems may achieve the purpose to response to different external stimuli,by changing its own topology structure and using transition between different states.This will help us to further reveal the internal mechanism of information processing in biological system.

关 键 词：仿真模拟 放电模式 拓扑结构 信息过程 

分 类 号：Q6-3[生物学—生物物理学]