Possible neural coding with interevent intervals of synchronous firing

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

Volumn 66, Issue 2, 2002, Pages

  Aihara, Kazuyuki ^a   Tokuda, Isao ^b  

^a UNIVERSITY OF TOKYO   (Japan)

^b MURORAN INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BRAIN; NEUROLOGY; NONLINEAR SYSTEMS; NUMERICAL ANALYSIS; PHYSIOLOGY; RANDOM PROCESSES; TIME SERIES ANALYSIS;

CHAOTIC SYSTEMS; NEURAL CODING; NEURODYNAMICS; STOCHASTIC RESONANCE;

NEURAL NETWORKS;

EID: 41349109073     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.026212     Document Type: Article

References (62)

1. H. Fujii, Neural Networks 9, 1303 (1996).
2. F. Rieke et al., Spikes: Exploring the Neural Code (MIT, Cambridge, 1997).
3. A.L. Hodgkin and A.F. Huxley J. Physiol. (London) 117, 500 (1952).
4. R. FitzHugh, Biophys. J. 1, 445 (1961);
5. J. Nagumo, S. Arimoto, and S. Yoshizawa, Proc. IRE 50, 2061 (1962).
6. K. Aihara and G. Matsumoto, in Chaos, edited by A. V. Holden (Manchester University Press, Manchester, 1986), pp. 257–269;
7. K. Aihara, Phys. Lett. A 116, 313 (1986).
8. H. Tong, Nonlinear Time Series: A Dynamical System Approach (Oxford University Press, Oxford, 1990);H. D. I. Abarbanel, Analysis of Observed Chaotic Data (Springer, New York, 1995);H. Kantz, and T. Schreiber, Nonlinear Time Series Analysis (Cambridge University Press, Cambridge, England, 1997).
9. W.R. Softky and C. Koch, J. Neurosci. 13, 334 (1993);
10. J. Neurosci.M.N. Shadlen and W.T. Newsome, 18, 3870 (1998).
11. M. Abeles, Isr. J. Med. Sci. 18, 83 (1982).
12. M.N. Shadlen and W.T. Newsome, Curr. Opin. Neurobiol. 4, 569 (1994);
13. Curr. Opin. Neurobiol.W.R. Softky, 5, 239 (1995);
14. P. König, A.K. Engel, and W. Singer, Trends Neurosci. 19, 130 (1996);
15. M. Watanabe, K. Nakanishi, and K. Aihara, Neural Networks 14, 395 (2001).
16. T. Sauer, Phys. Rev. Lett. 72, 3811 (1994).
17. D.M. Racicot and A. Longtin, Physica D 104, 184 (1997).
18. R. Castro and T. Sauer, Phys. Rev. Lett. 79, 1030 (1997).
19. R. Castro and T. Sauer, Phys. Rev. E 59, 2911 (1999).
20. A. Mees, Phys. Lett. A 169, 41 (1992).
21. F. Takens, in Dynamical Systems of Turbulence, edited by D. Rand and L. -S. Young, Lecture Notes in Mathematics Vol. 898 (Springer, Berlin, 1981), pp. 366–381;
22. T. Sauer, J.A. York, and M. Casdagli, J. Stat. Phys. 65, 579 (1991).
23. G. Sugihara and R.M. May, Nature (London) 344, 734 (1990).
24. J.P. Segundo, Neuroscience 87, 741 (1998).
25. K.A. Richardson, Phys. Rev. Lett. 80, 2485 (1998).
26. H. Suzuki, Biol. Cybern. 82, 305 (2000).
27. A. Longtin, J. Stat. Phys. 70, 309 (1993);
28. K. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995).
29. J.J. Collins, C.C. Chow, and T.T. Imhoff, Nature (London) 376, 236 (1995).
30. O.E. Rössler, Phys. Lett. 55A, 397 (1976).
31. M. Watanabe and K. Aihara, Neural Networks 10, 1353 (1997).
32. R. Eckhorn, Biol. Cybern. 60, 121 (1988);
33. C.M. Gray and W. Singer, Proc. Natl. Acad. Sci. U.S.A. 86, 1698 (1989);
34. E. Vaadia, Nature (London) 373, 515 (1995);
35. A. Riehle, Science 278, 1950 (1997);
36. S. Cardoso de Oliveira, A. Thiele, and K-P. Hoffmann, J. Neurosci. 17, 9248 (1997);
37. P.N. Steinmetz, Nature (London) 404, 187 (2000).
38. E. Domany, J. L. van Hemmen, and K. Schulten, Models of Neural Networks II (Springer, New York, 1994).
39. R.E. Mirollo and S.H. Strogatz, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 50, 1645 (1990);
40. C. van Vreeswijk, Phys. Rev. E 54, 5522 (1996);
41. M. Diesmann, M-O. Gewaltig, and A. Aertsen, Nature (London) 402, 529 (1999);
42. N. Masuda and K. Aihara, Phys. Rev. E 64, 051906 (2001).
43. D.J. Mar, Proc. Natl. Acad. Sci. U.S.A. 96, 10450 (1999).
44. A. T. Winfree, The Geometry of Biological Time (Springer, New York, 1980);Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, 1984);
45. L. Glass, Nature (London) 410, 277 (2001);A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, England, 2001).
46. K. Kaneko and I. Tsuda, Complex Systems: Chaos and Beyond (Springer, Berlin, 2001).
47. Y. Shinohara, Phys. Rev. E 65, 051906 (2002).
48. H. Gang, Phys. Rev. Lett. 71, 807 (1993);
49. Phys. Rev. Lett.A. Pikovsky and J. Kurths, 78, 775 (1997);
50. A. Longtin, Phys. Rev. E 55, 868 (1997);
51. Phys. Rev. ES. Tanabe, 60, 2182 (1999).
52. L.S. Benardo, J. Neurophysiol. 77, 3134 (1997);
53. M. Galarreta and S. Hestrin, Nature (London) 402, 72 (1999);
54. Nature (London)J.R. Gibson, M. Beierlein, and B.W. Connors, 402, 75 (1999);
55. G. Tamás, Nat. Neurosci. 3, 366 (2000);
56. Nat. Neurosci.M. Bierlein, J.R. Gibson, and B.W. Connors, 3, 904 (2000).
57. A.L. Hodgkin, J. Physiol. (London) 107, 165 (1948).
58. J. Rinzel and B. Ermentrout, in Methods in Neuronal Modeling, 2nd ed., edited by C. Koch and I. Segev (MIT, Cambridge, 1998), pp. 251–291;C. Koch, Biophysics of Computation (Oxford University Press, New York, 1999);
59. E. Izhikevich, Int. J. Bifurcation Chaos 10, 1171 (2000).
60. H. R. Wilson, Spikes, Decisions, and Actions (Oxford University Press, New York, 1999).
61. N. Masuda and K. Aihara, Phys. Rev. Lett. 88, 248101 (2002).
62. W. Bialek, Science 252, 1854 (1991).