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Persistent fluctuations of activity in undriven continuum neural field models with power-law connections
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Brackley, C. A. and Turner, Matthew S. (2009) Persistent fluctuations of activity in undriven continuum neural field models with power-law connections. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol.79 (No.1 Part 1). Article no.011918. doi:10.1103/PhysRevE.79.011918 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.79.011918
Abstract
We study the effect of random inhomogeneous connections on a continuous field description of neural tissue. We focus on a regime in which persistent random fluctuations in activity arise spontaneously in the absence of either time-varying or spatially inhomogeneous input. While present in real tissue and network models of discrete neurons, such behavior has not been reported in continuum models of this type. The activity contains frequencies similar to those seen experimentally. We consider a power-law envelope r(-alpha) for the inhomogeneity and present evidence that the statistical coherence (a measure of two-point correlation) rapidly percolates across the system as alpha is reduced below alpha(c)approximate to 1,2 in one and two dimensions, respectively.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics Q Science > QP Physiology |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
| Library of Congress Subject Headings (LCSH): | Neural networks (Neurobiology) -- Mathematical models, Computational neuroscience | ||||
| Journal or Publication Title: | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 1539-3755 | ||||
| Official Date: | January 2009 | ||||
| Dates: |
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| Volume: | Vol.79 | ||||
| Number: | No.1 Part 1 | ||||
| Number of Pages: | 6 | ||||
| Page Range: | Article no.011918 | ||||
| DOI: | 10.1103/PhysRevE.79.011918 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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