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Phys. Rev. E 60, 4637–4644 (1999)

Mechanism of stochastic resonance enhancement in neuronal models driven by 1/f noise

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Daichi Nozaki1,2, James J. Collins2, and Yoshiharu Yamamoto3
1Motor Dysfunction Division, Research Institute of National Rehabilitation Center for the Disabled, 4-1 Namiki, Tokorozawa, Saitama 359-8555, Japan
2Center for BioDynamics and Department of Biomedical Engineering, Boston University, 44 Cummington Street, Boston, Massachusetts 02215
3Educational Physiology Laboratory, Graduate School of Education, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan

Received 31 March 1999; published in the issue dated October 1999

Noise can assist neurons in the detection of weak signals via a mechanism known as stochastic resonance (SR). In a previous study [Phys. Lett. A 243, 281 (1998)], we showed that when colored noise with 1/fβ spectrum is added to the FitzHugh-Nagumo (FHN) neuronal model, the optimal noise variance for SR could be minimized with β≈1. In this study, we investigate analytically how the noise color (β) affects the SR profile in a linearized version of the FHN model. We demonstrate that the aforementioned effect of 1/f noise is related to the dynamical characteristics of the model neuron, i.e., the refractory period, the low-pass filtering effect of the membrane capacitance, and the high-pass filtering effect of the recovery variable.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.60.4637
DOI:
10.1103/PhysRevE.60.4637
PACS:
87.80.Tq, 05.40.Ca
 
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