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Dynamic Pattern Formation Leads to 1/f Noise in Neural Populations

Usher, Marius and Stemmler, Martin and Olami, Zeev (1995) Dynamic Pattern Formation Leads to 1/f Noise in Neural Populations. Physical Review Letters, 74 (2). pp. 326-329. ISSN 0031-9007. doi:10.1103/PhysRevLett.74.326. https://resolver.caltech.edu/CaltechAUTHORS:20130816-103233543

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Abstract

We present a generic model that generates long-range (power-law) temporal correlations, 1/f noise, and fractal signals in the activity of neural populations. The model consists of a two-dimensional sheet of pulse coupled nonlinear oscillators (neurons) driven by spatially and temporally uncorrelated external noise. The system spontaneously breaks the translational symmetry, generating a metastable quasihexagonal pattern of high activity clusters. Fluctuations in the spatial pattern cause these clusters to diffuse. The macroscopic dynamics (diffusion of clusters) translate into 1/f power spectra and fractal (power-law) pulse distributions on the microscopic scale of a single unit.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevLett.74.326DOIArticle
http://link.aps.org/doi/10.1103/PhysRevLett.74.326PublisherArticle
ORCID:
AuthorORCID
Stemmler, Martin0000-0002-9040-0475
Additional Information:© 1995 The American Physical Society. Received 7 February 1994; published in the issue dated 9 January 1995. We wish to thank S. Alexander, M. Cross, C. Koch, J. Hopfield, M. Herrmann, and I. Procaccia for their insights and comments. This work was supported by a Myron A. Bantrell Research Fellowship, the Howard Hughes Medical Institute, and the AFOSR.
Group:Koch Laboratory (KLAB)
Funders:
Funding AgencyGrant Number
Myron A. Bantrell Research FellowshipUNSPECIFIED
Howard Hughes Medical InstituteUNSPECIFIED
AFOSRUNSPECIFIED
Issue or Number:2
Classification Code: PACS: 87.10.+e
DOI:10.1103/PhysRevLett.74.326
Record Number:CaltechAUTHORS:20130816-103233543
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130816-103233543
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:40531
Collection:CaltechAUTHORS
Deposited By: KLAB Import
Deposited On:26 Jan 2008 04:16
Last Modified:09 Nov 2021 23:49

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