Abstract
A Hopfield neural network was constructed with relevance to protein dynamics. The dynamics of this network was analyzed by determining the distribution of first passage times between memories and its dependence on temperature. The distribution depended on the updating scheme. This illustrates the importance of choosing an updating scheme that leads to physically meaningful results in computational models of dynamic processes, such as in neural networks or molecular dynamics.
Similar content being viewed by others
REFERENCES
D. J. Amit, Modeling Brain Function (Cambridge University Press, Cambridge, 1989).
J. A. McCammon and S. C. Harvey, Dynamic of Proteins and Nucleic Acid (Cambridge University Press, Cambridge, 1987).
K. H. Fischer and J. A. Hertz, Spin Glasses (Cambridge University Press, New York, 1991).
J. B. Bassingthwaighte, L. S. Liebovitch, and B. J. West, Fractal Physiology (Oxford University Press, Oxford, 1994).
L. S. Liebovitch, N. D. Arnold, and L. Y. Selector, Neural networks to compute molecular dynamics, J. Biol. Sys. 2:193 (1994).
H. Fraunfelder, in Structure and Dynamics of Nucleic Acids, Proteins, and Membranes, E. Clementi and S. Chin, eds. (Plenum Press, New York, 1986).
H. Fraunfelder, S. G. Siglar, and P. G. Wolynes, Science 254:1598 (1991).
J. J. Hopfield, Proc. Natl. Acad. Sci, USA 79:2554 (1982).
L. S. Liebovitch, L. Y. Selector, and R. P. Kline, Biophys. J. 63:1579 (1992).
P. Hänggi and P. Talkner, Rev. Mod. Phys. 62:251 (1990).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liebovitch, L.S., Zochowski, M. Significance of Updating Schemes in Computational Models: Dynamics of Neutral Networks. Journal of Statistical Physics 90, 253–260 (1998). https://doi.org/10.1023/A:1023259903363
Issue Date:
DOI: https://doi.org/10.1023/A:1023259903363