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Cooperation in neural systems: Bridging complexity and periodicity

Marzieh Zare and Paolo Grigolini

  • Center for Nonlinear Science, University of North Texas, P.O. Box 311427, Denton, Texas 76203-1427, USA

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Phys. Rev. E 86, 051918 – Published 29 November, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.051918

Abstract

Inverse power law distributions are generally interpreted as a manifestation of complexity, and waiting time distributions with power index μ<2 reflect the occurrence of ergodicity-breaking renewal events. In this paper we show how to combine these properties with the apparently foreign clocklike nature of biological processes. We use a two-dimensional regular network of leaky integrate-and-fire neurons, each of which is linked to its four nearest neighbors, to show that both complexity and periodicity are generated by locality breakdown: Links of increasing strength have the effect of turning local interactions into long-range interactions, thereby generating time complexity followed by time periodicity. Increasing the density of neuron firings reduces the influence of periodicity, thus creating a cooperation-induced renewal condition that is distinctly non-Poissonian.

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Outline

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Phys. Rev. E 86, 051918– Published 29 November, 2012
  • Received 31 July 2012

©2012 American Physical Society

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