Stochastic resonance in a model neuron with reset

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 225, Issue 4-6, 1997, Pages 228-234

  Plesser, H E ^a   Tanaka, S ^a  

^a RIKEN   (Japan)

Author keywords

Integrate and fire neuron; Ornstein uhlenbeck process; Renewal process; Stochastic resonance

Indexed keywords

CIRCUIT RESONANCE; MAGNETIC RESONANCE; NEURONS; SPECTRAL DENSITY; STOCHASTIC MODELS;

FIRST-PASSAGE-TIME DENSITY; INTEGRATE-AND-FIRE NEURONS; ORNSTEIN-UHLENBECK PROCESS; RENEWAL PROCESS; SPIKE TRAIN; STOCHASTIC RESONANCES;

STOCHASTIC SYSTEMS;

EID: 0039176271     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(96)00878-X     Document Type: Article

References (32)

1. M.S. Bartlett, J.R. Statist. Soc. Ser. B 29 (1963) 264.
2. R. Benzi, A. Sutera and A. Vulpiani, J. Phys. A 14 (1981) L453.
3. A. Bulsara, E.W. Jacobs, T. Zhou, F. Moss and L. Kiss, J. theor. Biol. 152 (1991) 531.
4. A.R. Bulsara, S.B. Lowen and C.D. Rees, Phys. Rev. E 49 (1994) 4989.
5. A.R. Bulsara, T.C. Elston, C.R. Doering, S.B. Lowen and K. Lindenberg, Phys. Rev. E 53 (1996) 3958.
6. A. Buonocore, A.G. Nobile and L.M. Ricciardi, Adv. Appl. Prob. 19 (1987) 784.
7. D.R. Cox and P.A.W. Lewis, The statistical analysis of series of events (Methuen, London, 1966).
8. D.J. Daley and D. Vere-Jones, An introduction to the theory of point processes (Springer, Berlin, 1988).
9. S. Fauve and F. Heslot, Phys. Lett. A 97 (1983) 5.
10. Z. Gingl, L.B. Kiss and F. Moss, Europhys. Lett. 29 (1995) 191.
11. V. Giorno, A.G. Nobile, L.M. Ricciardi and S. Sato, Adv. Appl. Prob. 21 (1989) 20.
12. J. Inoue, S. Sato and L.M. Ricciardi, Biol. Cybern. 73 (1995) 209.
13. P. Jung, Phys. Rep. 234 (1993) 175.
14. P. Jung, Phys. Rev. E 50 (1994) 2513.
15. P. Jung, Phys. Lett. A 207 (1995) 93.
16. N.G. van Kampen, Stochastic processes in physics and chemistry, 2nd Ed. (North-Holland, Amsterdam, 1992).
17. P. Lánský and J.P. Rospars, Biol. Cybern. 72 (1995) 397.
18. P. Lánský, L. Sacerdote and F. Tomassetti, Biol. Cybern. 73 (1995) 457.
19. J.E. Levin and J.P. Miller, Nature 380 (1996) 165.
20. A. Longtin, A. Bulsara and F. Moss, Phys. Rev. Lett. 67 (1991) 656.
21. B. McNamara, K. Wiesenfeld and R. Roy, Phys. Rev. Lett. 60 (1988) 2626.
22. B. McNamara and K. Wiesenfeld, Theory of stochastic resonance, Phys. Rev. A 39 (1989) 4854.
23. D.H. Perkel, G.L. Gerstein and G.P. Moore, Biophys J. 7 (1967) 391.
24. W.H. Press, S.A. Teukolsky, W.T. Vetterling and B.P. Flannery, Numerical recipes in C, 2nd Ed. (Cambridge Univ. Press, Cambridge, 1992).
25. L.M. Ricciardi and S. Sato, J. Appl. Prob. 25 (1988) 43.
26. E. Schrödinger, Phys. Z. 16 (1915) 289.
27. A.J.F. Siegert, Phys. Rev. 81 (1951) 617.
28. H.C. Tuckwell, Stochastic processes in the neurosciences (SIAM, Philadelphia, 1989).
29. K. Wiesenfeld, D. Pierson, E. Pantazelou and F. Moss, Phys. Rev. Lett. 72 (1994) 2125.
30. K. Wiesenfeld and F. Moss, Nature 373 (1995) 33.
31. T. Zhou, F. Moss and P. Jung, Phys. Rev. A 42 (1990) 3161.
32. J.J. Collins, C.C. Chow and T.T. Imhoff, Phys. Rev. E 52 (1995) R3321.