Classical-like resonance induced by noise in a Fitzhugh-Nagumo neuron model

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 9, Issue 12, 1999, Pages 2295-2303

  Massanés, S Ripoll ^a   Perez Vicente C J ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033481098     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127499001784     Document Type: Review

References (20)

1. Amit, D. [1997] "Global spontaneous activity and local structured (learned) delay activity in cortex," Cerebral Cortex 7, p. 237.
2. Benzi, R., Sutera, S. & Vulpiani, A. [1981] "The mechanism of stochastic resonance," J. Phys. A14, L453-L457.
3. Chialvo, D. R., Longtin, A. & Muller-Gerking, J. [1997] "Stochastic resonance in models of neuronal ensembles," Phys. Rev. E55, 1798-1808.
4. Collins, J. J., Chow, C. C. & Imhoff, T. T. [1995] "Aperiodic stochastic resonance in excitable systems," Phys. Rev. E52, R3321-R3324.
5. Collins, J. J., Chow, C. C. & Imhoff, T. T. [1995b] "Stochastic resonance without tuning," Nature 376, 236-238.
6. Fitzhugh, R. [1961] "Impulses and physiological states in theoretical models of nerve membrane," Biophys. J. 1, p. 445.
7. Gammaitoni, L., Hanggi, P., Hung, P. & Marchesoni, F. [1998] "Stochastic resonance," Rev. Mod. Phys 70, 223-287.
8. Gerstein, G. & Mandelbrot, B. [1964] "Random walk models for the spike activity of a single neuron," Biophys. J. 4, p. 41.
9. Kandel, E. R., Schwartz, J. H. & Jessell, T. M. [1991] Principles of Neural Science (Appleton & Lange, CT), Chap. 32.
10. Lee, S.-G., Neiman, A. & Kim, S. [1998] "Coherence resonance in a Hodgkin-Huxley neuron," Phys. Rev. E57, 3292-3297.
11. Longtin, A. & Chialvo, D. R. "Stochastic and deterministic resonances (Arnold tongues) for excitable systems," preprint.
12. Massanés, S. R. & Pérez-Vicente, C. J. [1998] "Non-adiabatic resonances in a noisy Fitzhugh-Nagumo neuron model," Phys. Rev. E59, 4490-4497.
13. Nagumo, J. S., Arimoto, S. & Yoshizawa, S. [1962] "An active pulse transmission line simulating nerve axon," Proc. IRE 50, 2061-2070.
14. Pikovsky, A. S. & Kurths, J. [1997] "Coherence resonance in a noise-driven excitable system," Phys. Rev. Lett. 78, 775-778.
15. Shadlen, M. & Newsome, W. [1994] "Noise, neural codes and cortical organization," Current Biol. 4, 1569-1578.
16. Softky, W. R. & Koch, C. [1993] "The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs," J. Neurosci. 81, 334-350.
17. Stemmler, M. [1996] "A single spike suffices: The simplest form of stochastic resonance in model neurons," Network 7, 687-716.
18. Stratonovich, R. L. [1963] Topics in the Theory of Random Noise, Vol. 1 (Gordon & Breach, NY), Chap. 4.
19. Tsodyks, M. V. & Sejnowsky, T. [1995] "Rapid state switching in balanced cortical network models," Network 6, 111-124.
20. Tuckwell, H. C. [1988] Introduction to Theoretical Neurobiology, Vol. 2 (Cambridge University Press, NY), Chap. 9.