混合突触作用下耦合时滞对模块神经元网络簇同步的影响

EFFECT OF COUPLED TIME-DELAY ON BURSTING SYNCHRONIZATION IN MODULAR NEURONAL NETWORK WITH HYBRID SYNAPSES

针对电突触耦合和化学突触耦合混合作用下含有耦合时滞的模块神经元网络,利用非线性动力学理论和数值仿真方法,探讨了耦合强度及耦合时滞对模块神经元网络簇同步特性的影响.结果发现,模块神经元网络中子网络内、子网络间的耦合强度都能促使簇放电神经元取得簇同步,但是时滞却对耦合诱导的簇同步具有显著的抑制作用.进一步的研究证实了本文所得的研究结果不依赖于子网络的数目与子网络的节点个数.需要指出的是,耦合时滞对神经元网络簇同步的抑制作用对治疗簇同步引发的一些神经性疾病(如帕金森病、癫痫等)具有一定的理论指导意义.

We explore the nontrivial effects of coupling strength and time-delayed coupling on bursting synchronization of modular neuronal network with hybrid chemical and electrical synapses by nonlinear dynamics and numerical simulation. The results show that the intra and inter-coupling between different neurons can induce bursting neurons to achieve bursting synchronization in modular neuronal network. However, time delays in the coupling have negative influences on the coupling-induced bursting synchronization. Furthermore, these two results are verified to be robust against the number of subnetworks and the number of neurons within each subnetwork. Note that the degraded impact of time-delayed coupling on bursting synchronization may have potential theoretical significance for curing some neuronal diseases （such as Parkinson＇s Disease, epilepsy） caused by bursting synchronization.