Influence of noise sources on FitzHugh-Nagumo model in suprathreshold regime

Bernardo Spagnolo; Evgeniya V. Pankratova

doi:10.1117/12.609801

23 May 2005 Influence of noise sources on FitzHugh-Nagumo model in suprathreshold regime (Invited Paper)

Bernardo Spagnolo, Evgeniya V. Pankratova

Proceedings Volume 5841, Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems III; (2005) https://doi.org/10.1117/12.609801
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States

Abstract

We study the response time of a neuron in the transient regime of FitzHugh-Nagumo model, in the presence of a suprathreshold signal and noise sources. In the deterministic regime we find that the activation time of the neuron has a minimum as a function of the signal driving frequency. In the stochastic regime we consider two cases: (a) the fast variable of the model is noisy, and (b) the slow variable, that is the recovery variable, is subjected to fluctuations. In both cases we find two noise-induced effects, namely the resonant activation-like and the noise enhanced stability phenomena. The role of these noise-induced effects is analyzed. The first one produces suppression of noises, while the second one delays the neuron response. Finally, the role of the phase of the driving signal on the transient dynamics of the neuron is analyzed.

Citation Download Citation

Bernardo Spagnolo and Evgeniya V. Pankratova "Influence of noise sources on FitzHugh-Nagumo model in suprathreshold regime (Invited Paper)", Proc. SPIE 5841, Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems III, (23 May 2005); https://doi.org/10.1117/12.609801

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