Statistical properties of spike trains: Universal and stimulus-dependent aspects

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

Volumn 66, Issue 3, 2002, Pages

  Brenner, Naama ^a   Agam, Oded ^b   Bialek, William ^a   de Ruyter van Steveninck, Rob ^a  

^a NEC LABORATORIES AMERICA   (United States)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; BIOPHYSICS; HUMAN; METABOLISM; NERVE CELL; OSCILLOMETRY; PHYSIOLOGY; STATISTICAL MODEL; TIME;

ANIMALS; BIOPHYSICAL PHENOMENA; BIOPHYSICS; HUMANS; MODELS, STATISTICAL; NEURONS; OSCILLOMETRY; TIME FACTORS;

FREQUENCY-CURRENT RESPONSE; NEURONAL NONLINEARITY; NONLINEAR OSCILLATORS; SPIKE TRAINS;

ELECTRIC CURRENTS; FUNCTIONS; MODULATION; NATURAL FREQUENCIES; NONLINEAR SYSTEMS; OSCILLATORS (ELECTRONIC); PARAMETER ESTIMATION; POISSON DISTRIBUTION; SPURIOUS SIGNAL NOISE; STATISTICAL METHODS;

NEUROLOGY;

EID: 41349101480     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.031907     Document Type: Article

References (29)

1. F. Rieke, D. Warland, R. de Ruyter van Steveninck, and W. Bialek, Spikes: Exploring the Neural Code (MIT Press, Cambridge, MA, 1997).
2. J.J.B. Jack, D. Noble, and R.W. Tsien, Electric Current Flow in Excitable Cells (Clarendon Press, Oxford, 1975).
3. A.L. Hodgkin and A.F. Huxley, J. Physiol. (London) 117, 500 (1952).
4. E.D. Adrian, The Basis of Sensation (Christopher, London, 1928).
5. A.V. Holden, Models of the Stochastic Activity of Neurons, Lecture Notes in Biomathematics (Springer-Verlag, Berlin, 1976).
6. G. Sampath and S.K. Srinivasan, Stochastic Models for Spike Trains of Single Neurons, Lecture Notes in Biomathematics (Springer-Verlag, Berlin, 1997).
7. H.C. Tuckwell, Introduction to Theoretical Neurobiology (Cambridge University Press, Cambridge, UK, 1988).
8. A formal reduction of conductance-based models to a phase model is presented in B.S. Gutkin and G.B. Ermentrout, Neural Comput. 10, 1047 (1998).
9. N. Brenner, O. Agam, W. Bialek, and R. de Ruyter van Steveninck, Phys. Rev. Lett. 81, 4000 (1998).
10. For a review of integrate-to-threshold models, see A.M. Bruckstein and Y.Y. Zeevi, Biol. Cybern. 34, 63 (1979).
11. G. Gestri, Biophys. J. 11, 181 (1971).
12. T.W. Troyer and K.D. Miller, Neural Comput. 9, 971 (1997).
13. E. Schneidman, B. Freedman, and I. Segev, Neural Comput. 10, 1679 (1998).
14. K. Hausen and M. Egelhaaf, in Facets of Vision, edited by D.G. Stavenga and R.C. Hardie (Springer-Verlag, Berlin, 1989).
15. For details, see R. de Ruyter van Steveninck and W. Bialek, Philos. Trans. R. Soc. London, Ser. B B348, 321 (1995).
16. N. Brenner, W. Bialek, and R. de Ruyter van Steveninck, Neuron 26, 695 (2000).
17. G.L. Gerstein and B. Mandelbrot, Biophys. J. 4, 41 (1964).
18. S. Hagiwara, Jpn. J. Physiol. 4, 234 (1954).
19. W.R. Softky and C. Koch, J. Neurosci. 13, 334 (1993).
20. J.G. Robson and J.B. Troy, J. Opt. Soc. Am. A 4, 2301 (1987).
21. M.W. Levine and J.M. Shefner, Biophys. J. 19, 241 (1977).
22. J.B. Troy and B.B. Lee, Visual Neurosci. 11, 111 (1994).
23. G. Gestri and P. Piram, Biol. Cybern. 17, 199 (1975).
24. I.S. Gradshteyn and I.M Ryzhik, Table of Integrals, Series and Products (Academic Press, New York, 1994).
25. J. Feng Phys. Rev. E 63, 051902 (2000).
26. G. Svirskis and J. Rinzel, Biophys. J. 79, 629 (2000).
27. E. Salinas and T.J. Sejnowski, J. Neurosci. 20, 6193 (2000).
28. S.O. Rice, in Selected Papers on Noise and Stochastic Processes, edited by N. Wax (Dover, New York, 1954).
29. M. F. Land and T. S. Collett, J. Comp. Physiol. 89, 331 (1974).