Firing Correlation in Spiking Neurons with Watts–Strogatz Rewiring
The brain is organized as neuron assemblies with hierarchies of complex network connectivity. In 1998, Watts and Strogatz conjectured that the structures of most complex networks in the real world have the so-called small-world properties of a small mean path between nodes and a high cluster value, regardless of whether they are artificial networks, such as the Internet, or natural networks, such as the brain. Here we explore the nature of a small-world network of neuron assemblies by simulating the network structural dependence of Izhikevich’s spiking neuron model. The synchronized rhythmical firing is estimated in terms of rewiring probabilities, and the structural dependence of the firing correlation coefficient is discussed.
KeywordsNeuron Model Rest Membrane Potential Inhibitory Neuron Excitatory Neuron Neuron Assembly
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