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Published January 9, 1995 | Published
Journal Article Open

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

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.

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.

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