Effects of noise on dynamics of Hodgkin Huxley style neuronal model

We studied the effect of noise on the dynamics of a single neuron that is described by the generic Hodgkin Huxley model. We model a channel noise by adding the Gaussian noise to inactivation of Na+ current, activation variable of potassium current and the h-current. The characteristics of the neural dynamics such as the burst duration, interburst interval and period were affected by noise. These effects are more pronounced for the noise added to the inactivation of Na+ current(hNa). For hNa variable, there is a critical noise amplitude at which the average interburst interval reaches its minimum. This minimum is well pronounced, e.g., if for a neuron without noise the interburst interval is 100 s, then the minimum interburst interval, at the critical noise value, is around 20 s. Such highly nonmonotic behavior is realized only for a range of parameters of the neuron model, for which the noise-free interburst interval is greater than 20 s. But if the interburst interval of the noise-free model is less than 20 s then the system does not show any minimum and the interburst interval monotonically increases with the noise.