Dynamic Pattern Formation Leads to 1/f Noise in Neural Populations
M. Usher, M. Stemmler, Z. Olami
Physical Review Letters, vol 74, no. 2, 326-329 (1995)
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 quasi-hexagonal 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.
1/f in biology section