The Research Of Inverse Stochastic Resonance In Neural System

Information processing and transmission in neural system is realized by the neurons, leading to the neurons usually in firing state or resting state. Influenced by surround circumstance, especially the noise, neurons will transmit the information in the highest efficiency through various of firing modes, promoted or inhibited.Compared to the phenomenon of stochastic resonance and coherence resonance, this paper meanly studies the inhibition effect in the process of firing of neurons. Based on Hodgkin-Huxley neuron model, the paper mainly investigated neurons spiking under the noise and coupling conditions. The main contents and conclusions are as follows:Firstly, it has mainly investigated the inhibition effect on the firing of neurons driven by non-Gaussian colored noise. Compared to the research of Gaussian white noise and Gaussian colored noise, the results show that the correlation time and deviation coefficient of non-Gaussian colored noise make an inhibitory effect on neurons spiking in the neural system. It is found that ISR phenomenon occurs as the current strength grows to a certain value with non-Gaussian colored noise. The mean spiking rate increases monotonously with the increasing noise intensity while decreases monotonously with the decreasing correlation time when the input current is above the critical threshold. Besides, the mean firing rate will remain unchanged with noise intensity and deviation coefficient when the correlation time is large enough and finally trends toward a constant value, which is completely determined by the input current. There is a current strength making the inhibition effect of firing best significantly.Secondly, it has mainly investigated the inhibition effect of neuron spiking driven by the bounded noise. The results show that not only the Gaussian noise and the non-Gaussian noise can induced the ISR phenomenon, but also the bounded noise can restrain the firing of neurons. In a reasonable range of current intensity, the mean spiking rate increases monotonously with the increasing frequency while decreases monotonously with the increasing amplitude. It is found that ISR phenomenon occurs as the noise intensity grows to a certain value with bounded noise. When theamplitude and frequency at a certain condition, the small changes of the current strength will make a big influence on firing of neurons, that is to say the inhibition effect of neuron spiking with highly sensitivity to the current strength.Thirdly, it has mainly investigated the synchronicity and inhibition of two coupling neurons spiking driven by Gaussian white noise and Gaussian colored noise.Comparing with the plots of voltage versus time showing spikes and phase diagram,we found that the correlation time makes neurons spiking synchronously easier. There is an obvious inhibitory effect with the increasing of the correlation time, which is the phenomenon of inverse stochastic resonance. Meanwhile, we also found that larger value of coupling coefficient can facilitate the synchronization of neuron spiking under Gaussian white noise.