Coherence resonance and noise-induced synchronization in globally coupled Hodgkin-Huxley neurons

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 1, 2000, Pages 740-746

  Wang, Yuqing ^a   Chik, David T W ^a   Wang, Z D ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; BIOLOGICAL MODEL; BIOPHYSICS; ELECTROPHYSIOLOGY; EXCITATORY POSTSYNAPTIC POTENTIAL; NERVE CELL; NERVE CELL NETWORK; NONLINEAR SYSTEM; PHYSIOLOGY; STATISTICS;

ANIMALS; BIOPHYSICAL PHENOMENA; BIOPHYSICS; ELECTROPHYSIOLOGY; EXCITATORY POSTSYNAPTIC POTENTIALS; MODELS, NEUROLOGICAL; NERVE NET; NEURONS; NONLINEAR DYNAMICS; STOCHASTIC PROCESSES;

ADDITIVE NOISE; DELTA SIGMA MODULATION; SYNCHRONIZATION;

AUTONOMOUS OSCILLATION; BELL-SHAPED CURVES; COHERENCE RESONANCE; HODGKIN-HUXLEY NEURON; MONOTONIC BEHAVIOR; NOISE-INDUCED SYNCHRONIZATION; POWER-SPECTRA; SPATIOTEMPORAL ORDER;

NEURONS;

EID: 0033754083     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.740     Document Type: Article

References (33)

1. K. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995)
2. A.R. Bulsara and L. Gammaitoni, Phys. Today 49, 39 (1996)
3. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998)
4. W. Wang, Y. Wang, and Z.D. Wang, Phys. Rev. E 57, R2527 (1998)
5. Y. Wang, Z.D. Wang, and W. Wang, J. Phys. Soc. Jpn. 67, 3637 (1998).
6. G. Hu, T. Ditzinger, C.N. Ning, and H. Haken, Phys. Rev. Lett. 71, 807 (1993).
7. W.J. Rappel and S.H. Strogatz, Phys. Rev. E 50, 3249 (1994).
8. A.S. Pikovsky and J. Kurths, Phys. Rev. Lett. 78, 775 (1997).
9. S.G. Lee, A. Neiman, and S. Kim, Phys. Rev. E 57, 3292 (1998).
10. A. Longtin, Phys. Rev. E 55, 868 (1997).
11. A. Neiman, P. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997).
12. D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, Phys. Rev. E 59, R3791 (1999).
13. A. Neiman, A. Silchenko, V. Anishchenko, and L. Schimansky-Geier, Phys. Rev. E 58, 7118 (1998).
14. A. Neiman, L. Schimansky-Geier, F. Moss, B. Shulgin, and J.J. Collins, Phys. Rev. E 60, 284 (1999)
15. B.V. Shulgin, A. Neiman, and V. Anishchenko, Phys. Rev. Lett. 75, 4157 (1995).
16. A. Silchenko, T. Kapitaniak, and V. Anishchenko, Phys. Rev. E 59, 1593 (1999).
17. J.F. Linder, B.K. Meadows, W.L. Ditto, M.E. Inchiosa, and A.R. Bulsara, Phys. Rev. Lett. 75, 3 (1995)
18. J.F. LinderB.K. MeadowsW.L. DittoM.E. InchiosaA.R. BulsaraPhys. Rev. E 53, 2081 (1996).
19. M. Morillo, J. Gomez-Ordonez, and J.M. Casado, Phys. Rev. E 52, 316 (1995)
20. J.M.G. Vilar and J.M. Rub’, Phys. Rev. Lett. 78, 2886 (1997).
21. W. Wang and Z.D. Wang, Phys. Rev. E 55, 7379 (1997)
22. Phys. Rev. EW. Wang, G. Chen, and Z.D. Wang, 56, 3728 (1997).
23. P. Jung and G. Mayer-Kress, Phys. Rev. Lett. 74, 2130 (1995).
24. C. Kurrer and K. Schulten, Phys. Rev. E 51, 6213 (1995).
25. W.-J. Rappel and A. Karma, Phys. Rev. Lett. 77, 3256 (1996).
26. S.K. Han, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999).
27. R. Llinás and U. Ribary, Proc. Natl. Acad. Sci. USA 88, 2078 (1993).
28. M. Steriade, I. Timofeev, N. Dürmüller, and F. Grenier, J. Neurophysiol. 79, 483 (1998).
29. M.A.L. Nicolelis, L.A. Baccala, R.C.S. Lin, and J.K. Chapin, Science 268, 1353 (1995).
30. A.L. Hodgkin and A.F. Huxley, J. Physiol. (London) 117, 500 (1952)
31. D. Hansel, G. Mato, and C. Meunier, Phys. Rev. E 48, 3470 (1993).
32. P. V. E. McClintock and F. Moss, in Noise in Nonlinear Dynamical Systems, edited by F. Moss and P. V. E. McClintock (Cambridge University Press, Cambridge, England, 1989). Vol. 3, p. 243.
33. It is not necessary to assume the same (Formula presented) for every neuron in the network. The only requirement is to set the neurons near the threshold or saddle-node bifurcation. For a random distributed (Formula presented), we will observe almost the same phenomenon reported later on.