Synchronous Discharge Dynamics In Neuronal Oscillator Populationwith Background Noise And Signal Noise

The synchronous firing of neurons is the main way for the neural system to receive,transmit and integrate signals.In recent years,it has caused extensive research by researchers.Noise is ubiquitous in the neural system,which affects the synchronization of neuronal oscillator population.Noise in neural system can be differentiate into background noise and signal noise.Among them,the background noise is the noise produced in the neural system,and the signal noise is the noise produced by the input of the signal.In this paper,by accounting for effects of background noise and signal noise,we present a dynamic model of neuronal oscillator population subject to external periodic stimulation and mixed noise,and introduce the number density to describe the synchronous firing activity of neuronal oscillator population.The numerical simulations indicate that,as only signal noise,strong signal noise is attenuated synchronously.As only background noise,strong background noise causes oscillation of the neuronal oscillator population.As mixed noise,a weak background or signal noise can decrease the synchronization of the neuronal oscillator population;when one noise is strong,the firing frequency of the neuronal oscillator population increases;and the synchronous firing activity of neuronal oscillator population oscillates intensely.The numerical simulations also show that the gain on synchronization of neuronal oscillator population is more obvious with strong signal noise.