Impact Of Synaptic Inhibition On Firing-rate Response Of Neurons

In this paper,we apply integrate-and-fire model to study the effect of synaptic inhibition and periodic external stimulus on neuron firing-rate.Using the Fokker-Planck equation,we can calculate the expression of instantaneous neuronal firing rate.Consider under the condition of constant excitatory synaptic input,adjust the inhibitory synaptic input, study the effect of inhibitory synaptic input on rate of neurons.Consider the condition of constant excitatory synaptic input and the inhibitory synaptic input, adjust the external periodic stimulation, study the effect of the external stimulation intensity and frequency on on rate of neurons.The numerical results show that,when synaptic input is equal to the threshold, the appropriate frequency of synaptic inhibition has facilitation effect on neuron firing-rate and causes a delay to the peak of firing-rate;When synaptic input is less than the threshold,synaptic inhibition restrains neuron membrane potential. Under the effect of external stimulus,amplitude of firing-rate is related to external stimulus. When the stimulus frequency becomes higher, the amplitude firing-rate will becomes lower, when the stimulus amplitude becomes higher, the amplitude firing-rate will becomes higher.