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Spiking behavior in a noise-driven system combining oscillatory and excitatory properties

Makarov , Valeri A. and Nekorkin, Vladimir I. and Velarde, Manuel G. (2001) Spiking behavior in a noise-driven system combining oscillatory and excitatory properties. Physical Review Letters, 86 (15). pp. 3431-3434. ISSN 0031-9007

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Abstract

We show that firing activity (spiking) can be regularized by noise in a FitzHugh-Nagumo (FHN) neuron model when operating slightly beyond the supercritical Hopf bifurcation (in the "canard" region). We also provide the conditions for imperfect phase Locking between interspike intervals and low amplitude quasiharmonic oscillations. For the imperfect phase locking no need exists of an external signal as it follows from the FHN intrinsic dynamics.

Item Type:Article
Uncontrolled Keywords:Aperiodic stochastic resonance; Coherence resonance; Excitable systems; Inferior olive; Neurons; Modulation; Mechanism
Subjects:Medical sciences > Biology > Neurosciences
ID Code:17044
References:

R. Llinas and Y. Yarom, J. Physiol. 376, 163 (1986) .

L. S. Benardo and R. E. Foster, Brain Res. Bull. 17, 773 (1986) .

K. Sasaki, J. M. Bower, and R. Llinas, Eur. J. Neurosci. 1, 572 (1989).

J. J. Collins, T. T. Imhoff, and P. Grigg, Nature (London) 383, 770 (1996) .

R. M. Siegel, Physica (Amsterdam) 42D, 385 (1990).

H. Haken, Principles of Brain Functioning (Springer-Verlag, Berlin,1996).

R. FitzHugh, Biophys. J. 1, 445 (1961) .

F. C. Hoppensteadt, An Introduction to the Mathematics of Neurons (Cambridge Univ. Press, NY,1986).

K. Wiesenfeld, D. Pierson, E. Pantazelou, C. Dames, and F. Moss, Phys. Rev. Lett. 72, 2125 (1994) .

J. J. Collins, C. C. Chow, and T. T. Imhoff, Phys. Rev. E 52, R3321 (1995) .

J. Milton, Dynamics of Small Neural Populations (American Math. Soc., Providence, Rhode Island,1996).

A. Longtin, Phys. Rev. E 55, 868 (1997).

C. Eichwald and J. Walleczek, Phys. Rev. E 55, R6315 (1997) .

A. S. Pikovsky and J. Kurths, Phys. Rev. Lett. 78, 775 (1997) .

S. G. Lee, A. Neiman, and S. Kim, Phys. Rev. E 57, 3292 (1998) .

J. P. Baltanas and J. M. Casado, Physica (Amsterdam) 122D, 231 (1998).

C. Hauptmann, F. Kaiser, and C. Eichwald, Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, 1159 (1999).

R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981).

C. Nicolis and G. Nicolis, Tellus 33, 225 (1981).

L. Gammaitoni, P. Hanggi, D. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998) .

R. R. Llinas and K. D. Walton, in The Synaptic Organization of the Brain,G. M. Shepherd (Oxford Univ. Press, Oxford,1998), Chap. 7.

F. Dumortier, in Bifurcations and Periodic Orbits of Vector Fields,D. Schlomiuk (Kluwer Academic Press, Dordrecht,1993), pp. 19–73.

P. Glendinning, Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Univ. Press, NY,1994), Chap. 8.10.

R. F. Fox, I. R. Gatland, R. Roy, and G. Vemuri, Phys. Rev. A 38, 5938 (1988) .

J. M. Kowalski, G. L. Albert, B. K. Rhoades, and G. W. Gross, Neural Netw. 5, 805 (1992).

Y. Manor, J. Rinzel, I. Segev, and Y. Yarom, J. Neurophysiol. 77, 2736 (1997) .

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Last Modified:07 Feb 2014 09:40

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