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29 March 2005 Noise induced dynamics and subthreshold oscillations
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In order to treat the effect of subthreshold dynamics on noisy neuron behavior we focus on parameters region of FitzHugh-Nagumo model close to the so called canard-explosion. Such parameter region corresponds to transition from excitable regime to continuous spiking. We observe the number of noise-induced effects, such as (i) noise-induced stabilization of firing frequency; (ii) noise-induced suppression of spiking; (iii) noise-induced chaos. We show that for small ensemble of resonator-type neurons activated by noise there is the global maxima of firing frequency at some optimal noise intensity. The underlying mechanisms of such behavior are closely related to noise-activated subthreshold dynamics.
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Dmitry Setsinsky, Alexander Shishkin, Ludmila Ryazaniva, and Dmitry Postnov "Noise induced dynamics and subthreshold oscillations", Proc. SPIE 5696, Complex Dynamics and Fluctuations in Biomedical Photonics II, (29 March 2005);

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