Parameter dependence of stochastic resonance in the stochastic Hodgkin-Huxley neuron.
Recently, the phenomena of stochastic resonance (SR) have attracted much attention in the studies of the excitable systems under inherent noise, in particular, nervous systems. We study SR in a stochastic Hodgkin-Huxley neuron under Ornstein-Uhlenbeck noise and periodic stimulus, focusing on the dependence of properties of SR on stimulus parameters. We find that the dependence of the critical forcing amplitude on the frequency of the periodic stimulus shows a bell-shaped structure with a minimum at the stimulus frequency, which is quite different from the monotonous dependence observed in the bistable system at a small frequency range. The frequency dependence of the critical forcing amplitude is explained in connection with the firing onset bifurcation curve of the Hodgkin-Huxley neuron in the deterministic situation. The optimal noise intensity for maximal amplification is also found to show a similar structure.
Lee
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SG
Brain Research Center and Nonlinear and Complex Systems Laboratory, Department of Physics and Mathematics, Pohang University of Science and Technology, San 31 Hyojadong, Pohang 790-784, Korea.
Kim
S
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D000818:Animals; D055592:Biophysical Phenomena; D001703:Biophysics; D009474:Neurons / Q000473:pathology* / Q000502:physiology*; D016011:Normal Distribution; D013269:Stochastic Processes