title: Oscillations and synchrony in a cortical neural network.
abstract: In this paper, the oscillations and synchronization status of two different network connectivity patterns based on Izhikevich model are studied. One of the connectivity patterns is a randomly connected neuronal network, the other one is a small-world neuronal network. This Izhikevich model is a simple model which can not only reproduce the rich behaviors of biological neurons but also has only two equations and one nonlinear term. Detailed investigations reveal that by varying some key parameters, such as the connection weights of neurons, the external current injection, the noise of intensity and the neuron number, this neuronal network will exhibit various collective behaviors in randomly coupled neuronal network. In addition, we show that by changing the number of nearest neighbor and connection probability in small-world topology can also affect the collective dynamics of neuronal activity. These results may be instructive in understanding the collective dynamics of mammalian cortex.
authors.affiliation: Tianjin Key Laboratory for Advanced Signal Processing, College of Electronic Information Engineering, Civil Aviation University, Tianjin, 300300 China.
authors.forename: Jingyi
authors.initials: J
authors.lastname: Qu
authors.affiliation: Institute for Cognitive Neurodynamics, School of Science, East China University of Science and Technology, Meilong Road 130, Shanghai, 200237 China.
authors.forename: Rubin
authors.initials: R
authors.lastname: Wang
authors.affiliation: Institute for Cognitive Neurodynamics, School of Science, East China University of Science and Technology, Meilong Road 130, Shanghai, 200237 China.
authors.forename: Chuankui
authors.initials: C
authors.lastname: Yan
authors.affiliation: Institute for Cognitive Neurodynamics, School of Science, East China University of Science and Technology, Meilong Road 130, Shanghai, 200237 China.
authors.forename: Ying
authors.initials: Y
authors.lastname: Du
keywords: Cortical neuronal network; Oscillation and synchronization; Randomly-coupled network; Small-world network