title: Random dynamics of the Hodgkin-Huxley neuron model.
abstract: Noise can alter the response of neurons, enhancing their ability to detect weak inputs. We analyze how the Hodgkin-Huxley equations, a canonical neuron model, respond to white noise stimulation. We show that this model possesses a stochastic attractor, reduced to a unique stochastic equilibrium point that attracts all trajectories.
authors.affiliation: Inserm U444, Faculté de Médecine Saint-Antoine, 27 rue Chaligny, 75571 Paris Cedex 12, France.
authors.forename: K
authors.initials: K
authors.lastname: Pakdaman
authors.forename: S
authors.initials: S
authors.lastname: Tanabe
mesh_terms: D055592:Biophysical Phenomena; D001703:Biophysics; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D013269:Stochastic Processes