Hopfield, John J. and Herz, Andreas V. M. (1995) Rapid local synchronization of action potentials: toward computation with coupled integrate-and-fire neurons. Proceedings of the National Academy of Sciences of the United States of America, 92 (15). pp. 6655-6662. ISSN 0027-8424. PMCID PMC41391. doi:10.1073/pnas.92.15.6655. https://resolver.caltech.edu/CaltechAUTHORS:20141203-151639357
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Abstract
The collective behavior of interconnected spiking nerve cells is investigated. It is shown that a variety of model systems exhibit the same short-time behavior and rapidly converge to (approximately) periodic firing patterns with locally synchronized action potentials. The dynamics of one model can be described by a downhill motion on an abstract energy landscape. Since an energy landscape makes it possible to understand and program computation done by an attractor network, the results will extend our understanding of collective computation from models based on a firing-rate description to biologically more realistic systems with integrate-and-fire neurons.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1995 National Academy of Sciences. This paper was presented at a colloquium entitled "Physics: The Opening to Complexity," organized by Philip W. Anderson, held June 26 and 27, 1994, at the National Academy of Sciences, in Irvine, CA. This work was stimulated by a series of most helpful discussions with John Rundle about the connections and differences between earthquake models and networks of spiking neurons. We are also grateful to W. Gerstner and T. Heskes for critical comments and suggestions and to K Schulten for providing powerful computing facilities that allowed fast interactive large-scale simulations. A.V.M.H. was supported by a Beckman Institute Fellowship; J.J.H. was supported in part by National Science Foundation Grant BIR 9207487 and by the Ron and Maxine Linde Venture Fund. | |||||||||
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| Subject Keywords: | neurobiology; phase locking; Lyapunov function; pulse-coupled oscillators | |||||||||
| Issue or Number: | 15 | |||||||||
| PubMed Central ID: | PMC41391 | |||||||||
| DOI: | 10.1073/pnas.92.15.6655 | |||||||||
| Record Number: | CaltechAUTHORS:20141203-151639357 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20141203-151639357 | |||||||||
| Official Citation: | J J Hopfield and A V Herz Rapid local synchronization of action potentials: toward computation with coupled integrate-and-fire neurons PNAS 1995 92 (15) 6655-6662 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 52355 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 03 Dec 2014 23:41 | |||||||||
| Last Modified: | 10 Nov 2021 19:25 |
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