Random dynamics of the Hodgkin-Huxley neuron model - art. no. 050902

Noise can alter the response of neurons, enhancing their ability to detect weak inputs. We analyze how the Hodgkin-Huxley equations, a canonical neuro n model, respond to white noise stimulation. We show that this model posses ses a stochastic attractor, reduced to a unique stochastic equilibrium poin t that attracts all trajectories.