Noise effects in an electronic model of a single neuron

We consider a simple electronic circuit model of a single neuron. The neuron is assumed to be driven by an external signal comprising constant (dc) and random components. In addition, the nonlinearity parameter in the circuit is assumed to fluctuate, thereby giving rise to critical behavior including the onset of hysteresis phenomena even for system parameter values that would not otherwise support such behavior. This "noise-induced critical behavior" is analysed, in the long time limit, through a study of the probability density function describing the neural response.