Phase-response Synchronization In Neuronal Population With Inhibitory Synaptic Input

The phase response curve successfully illuminated how an external stimulus affects the timing of spikes immediately after the stimulus in repetitively firing neurons.The phase response curve also describes the phase shift of the perturbed neuronal oscillator when a neuronal oscillator receives external stimulus or synaptic input.In the present study,we have formulated the phase description of the neuronal oscillator with excitatory-inhibitory synaptic inputs and external periodic stimulus by using the phase response curves.We use order parameter describe the synchronized activity of the population of neuronal oscillators.Numerical simulation have shown that inhibitory synaptic input reduced the synchronized degree of neuronal population and external stimulation which change the synchronized activity of neuronal population.With weaker or lower frequency stimulation,neuronal population shows complete synchronization.With stronger or higher frequency stimulation,neuronal population shows bursting synchronization.The shape of the PRC plays an important role in synchronized activity of neuronal population both in models and in experimentally manipulated neuronal population.Numerical simulation have shown that neuronal oscillators with type-II phase response curves are more rhythmical and susceptible to synchronize than those with type-I phase response curves.