Can neurons distinguish chaos from noise?

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 8, Issue 4, 1998, Pages 767-781

  Lindner, John F ^b   Meadows, Brian K ^a   Marsh, Tracey L ^a   Ditto, William L ^a   Bulsara, Adi R ^c  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b 931 College Mall   (United States)

^c RDT and E Division   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040944349     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127498000565     Document Type: Article

References (19)

1. Abbott, L. & Kepler, T. [1990] in Statistical Mechanics of Neural Networks, ed. Garrido, L. (Springer Verlag, Berlin).
2. Bulsara, A., Lowen, S. & Rees, C. [1994] "Cooperative behavior in the periodically modulated Wiener process: Noise-induced complexity in a model neuron," Phys. Rev. E49, 4989-5000.
3. Bulsara, A., Elston, T., Doering, C., Lowen, S. & Lindenberg, K. [1996] "Cooperative behavior in periodically driven integrate-fire models of neuronal dynamics," Phys. Rev. E53, 3958-3969.
4. Bulsara, A. & Gammaitoni, L. [1996] "Tuning in to noise," Physics Today, 49(3), 39-45.
5. Chandrasekhar, S. [1943] "Stochastic problems in physics and astronomy," Rev. Mod. Phys. 15, 1-89.
6. Garfinkel, A., Spano, M. L., Ditto, W. L. & Weiss, J. N. [1992] "Controlling cardiac chaos," Science 257, 1230-1235.
7. Gerstein, G. L. & Mandlebrot, B. [1964] "Random walk models for spike activity of a single neuron," Biophys. J. 4, 41-68.
8. Kac, M. [1954] in Selected Papers on Noise and Stochastic Processes, ed. Wax, N. (Dover, New York).
9. Lansky, P. [1984] "On approximations to Stein's neuronal model," J. Theor. Biol. 107, 631-647.
10. Ricciardi, L. [1977] Diffusion Processes and Related Topics in Biology (Springer-Verlag, Berlin).
11. Schiff, S. J., Jerger, K., Duong, D. H., Chang, T., Spano, M. L. & Ditto, W. L. [1994] "Controlling chaos in the brain," Nature 370, 615-620.
12. Sauer, T. [1994] "Reconstruction of dynamical systems from interspike intervals", Phys. Rev. Lett. 72, 3811-3814.
13. Seigel, R. M. & Read, H. L. [1993] "Models of the temporal dynamics of visual processing," J. Stat. Phys. 70, 297-308.
14. Stein, R. [1965] "A theoretical model of neuronal variability," Biophys. J. 107, 173-194.
15. Takens, F. [1981] in Dynamical Systems and Turbulence, eds. Rand, D. & Young, L. S. (Springer, Berlin).
16. Tuckwell, H. [1979] Stochastic Processes in the Neurosciences (SIAM, Philadelphia).
17. Tuckwell, H. [1988] Introduction to Theoretical Neurobiology (Cambridge University Press).
18. Uhlenbeck, G. & Ornstein, L. [1930] "On the theory of Brownian motion," Phys. Rev. 36, 823-841.
19. Wang, M. & Uhlenbeck, G. [1945] "On the theory of Brownian motion II," Rev. Mod. Phys. 17, 323-342.