Sources of periodical force in noisy integrate-and-fire models of neuronal dynamics

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

Volumn 55, Issue 2, 1997, Pages 2040-2043

  Lánský, Petr ^a  

^a INSTITUTE OF MATHEMATICS   (Czech Republic)

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Indexed keywords

EID: 0000478410     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.2040     Document Type: Article

References (41)

1. L. Ricciardi, Diffusion Processes and Related Topics in Biology (Springer, Berlin, 1977); H. Tuckwell, Introduction to Theoretical Neurobiology (Cambridge University Press, Cambridge, England, 1988).
2. C. Stevens, Biophys. J.4, 417 (1964).
3. A. Bulsara, T. Elston, C. Doering, S. Lowen and K. Lindberg, Phys. Rev. E53, 3958 (1996).
4. A. Bulsara, S. Lowen and C. Rees, Phys. Rev. E49, 4989 (1994).
5. B. Knight, J. Gen. Physiol.59, 734 (1972);
6. J. Fohlmeister, Kybernetik13, 104 (1973).
7. C. Ascoli, M. Barbi, S. Chillemi and D. Petracchi, Biophys. J.19, 219 (1977);
8. H. Scharstein, J. Math. Biol.6, 403 (1979);
9. M. Barbi and E. Ferdeghini, Biol. Cybern.39, 45 (1980);
10. J. Fohlmeister, F. Adelman and R. Poppele, Biophys. J.30, 79 (1980);
11. J. Fohlmeister, J. Theor. Neurobiol.1, 251 (1982);
12. A. Palmer and I. Russell, Hearing Research24, 1 (1986);
13. X. Yu and E. Lewis, IEEE Trans. Biomed. Engn.36, 36 (1989).
14. F. Chapeau-Blondeau, X. Godivier and N. Chambet, Phys. Rev. E53, 1273 (1996).
15. B. Gluss, Bull. Math. Biophys.29, 233 (1967);
16. B. Roy and D. Smith, Bull. Math. Biophys.31, 341 (1969);
17. R. Capocelli and L. Ricciardi, Kybernetik8, 214 (1971);
18. S. Sato, Math. Biosci.39, 53 (1978);
19. L. Ricciardi and L. Sacerdote, Biol. Cybern.35, 1 (1979).
20. R. Stein, Biophys. J.5, 173 (1965).
21. G. Kallianpur, in Contributions to Statistics, edited by P. Sen (North-Holland, Amsterdam, 1983).
22. P. Lánský, J. Theor. Biol.107, 631 (1984).
23. H. Tuckwell and W. Richter, J. Theor. Biol.71, 167 (1978).
24. J. Inoue, S. Sato and L. Ricciardi, Biol. Cybern.73, 209 (1995).
25. L. Ricciardi, Biol. Cybern.24, 237 (1976).
26. D. Linebarger and D. Johnson, Hearing Res.23, 185 (1986);
27. B. Edwards and G. Wakefield, J. Neurosci. Meth.45, 1 (1992);
28. M. Miller and K. Mark, J. Acoust. Soc. Am.92, 202 (1992).
29. A. Longtin, A. Bulsara and F. Moss, Phys. Rev. Lett.67, 656 (1991);
30. A. Longtin, J. Stat. Phys.70, 309 (1993), A. Longtin, A. Bulsara, D. Pierson and F. Moss, Biol. Cybern.70, 569 (1994).
31. P. Lánskýand C. Smith, Math. Biosci.93, 191 (1989);
32. P. Lánskýand M. Musila, Biol. Cybern.64, 285 (1991).
33. P. Lánskýand J. Rospars, Biol. Cybern.72, 397 (1995).
34. P. Bressloff, Physica D80, 399 (1995).
35. P. Lánskýand V. Lánská, Comput. Biol. Med.24, 91 (1994).
36. J. Keilson and H. Ross, Passage Time Distributions for Gaussian Markov (Ornstein-Uhlenbeck) Statistical Processes (SIAM, Providence, 1975).
37. L. Ricciardi and S. Sato, J. Appl. Prob.25, 43 (1988);
38. L. Ricciardi and S. Sato, in Lectures in Applied Mathematics and Informatics, edited by L. Riciciardi (Manchester University Press, Manchester, 1990).
39. C. Smith, in Single Neuron Computation, edited by T. McKenna, J. Davis, and S. Zornetzer (Academic, Boston, 1992).
40. A. Nobile, L. Ricciardi and L. Sacerdote, J. Appl. Prob.22, 611 (1985).
41. W. Schwarz, J. Appl. Prob.29, 597 (1992).