一维Theta-神经元网络中的规则单放电行波解的存在性  

Existence of Regular Single-spike Traveling Waves in One-dimesional Network of Theta Neurons

作　　者：吴国栋[1] 郝敦元[2] 杨彩琴[1] 姚贵平[1] 马文斌[1] 

机构地区：[1]内蒙古农业大学理学院,呼和浩特010018 [2]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2009年第5期555-561,共7页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金资助项目(90102011)

摘　　要：讨论了一维theta-神经元网络中规则单放电行波解的存在性.根据神经元细胞激发放电原理对细胞间的相互作用做出单向传递和按距离衰减两点假设.通过控制细胞间的耦合作用时间可得到网络中的规则单放电行波解.The existence of regular single-spike traveling waves in a one-dimensional theta neurons network was discussed. It was assumed that the reaction among the neurons travel in a single direction and reduce with the increasing distance. Based on the two hypothesis ,the existence of the regular single-spike traveling waves was proved by controlling the time period of synaptic coupling among neurons.

关 键 词：神经元网络 theta-神经元 单放电行波 

分 类 号：O29[理学—应用数学]