Simulation of Synchronization with Neuronal Population Firing Model

Abstract

Understanding the human brain will help us exploit the neuronal mechanisms of higher-order cognitive functions. Brain simulation is one of the solutions for this approach. At present, synchronization of neuronal population with neuronal spiking model added some parameters is main approach from research for experimental and theoretical studies. However, there is almost none “synchronization model of neuronal population”. Here, we reproduce synchronization with neuronal spiking model in a single neuronal population. Based on these results, we construct “neuronal population firing model” with Fourier series. Then, using this model and interaction model between models, we simulate dynamics of synchronization in neuronal populations. The results indicated two types of synchronization patterns like alpha waves appear during waking state and the wave during epileptic seizures, depending on parameter. Furthermore, in the initial condition of two regions with phase difference and same synchronization pattern, the results indicated synchronization patterns stay in waking state and turn waking state from sleeping state, depending on interaction strength and phase difference.