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Abstract
A theoretical model of a network of neuron-like elements was constructed. The network included several subnetworks. The first subnetwork was used to translate a constant-amplitude signal into a spike sequence (conversion of amplitude to frequency). A similar process occurs in the brain when perceiving visual information. With an increase in the flow of information, the generation frequency of the neural ensemble participating in the processing increases. Further, the first subnetwork transmitted excitation to two large interconnected subnetworks. These subnetworks simulated the dynamics of the cortical neuronal populations. It was shown that in the presence of inhibitory coupling, the neuronal ensembles demonstrate antiphase dynamics. Various connectivity topologies and various types of neuron-like oscillators were investigated. We compare the results obtained in a discrete neuron model (Rulkov model) and a continuous-time model (Hodgkin-Huxley). It is shown that in the case of a discrete neuron model, the periodic dynamics is manifested in the alternate excitation of various neural ensembles. In the case of the continuous-time model, periodic modulation of the synchronization index of neural ensembles is observed.
Highlights
Nowadays, an understanding of processes of interaction between different brain areas under cognition is an important task
We show that in the case of a discrete neuron model, the periodic dynamics is manifested in the alternate excitation of various neural ensembles
We investigate dynamics of a network consisting of 3 subnetworks (Fig. 1)
Summary
An understanding of processes of interaction between different brain areas under cognition is an important task. Network topology for subnetworks N1 and N2 is “all-to-all”, probability of coupling between two neurons of the subnetworks is 100%, strength of coupling between N1 and N2 gc = −0.03. For this case the external stimulus with amplitude A = 9μA/cm2 is applied to the first subnetwork that corresponds to the regime of continuous spikes generation, and the current with amplitude
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