Transition from local to global phase synchrony in small world neural network and its possible implications for epilepsy

Bethany Percha, Rhonda Dzakpasu, Michał Żochowski, and Jack Parent
Phys. Rev. E 72, 031909 – Published 16 September 2005

Abstract

Temporal correlations in the brain are thought to have very dichotomous roles. On one hand they are ubiquitously present in the healthy brain and are thought to underlie feature binding during information processing. On the other hand, large-scale synchronization is an underlying mechanism of epileptic seizures. In this paper we show a potential mechanism for the transition to pathological coherence underlying seizure generation. We show that properties of phase synchronization in a two-dimensional lattice of nonidentical coupled Hindmarsh-Rose neurons change radically depending on the connectivity structure of the network. We modify the connectivity using the small world network paradigm and measure properties of phase synchronization using a previously developed measure based on assessment of the distributions of relative interspike intervals. We show that the temporal ordering undergoes a dramatic change as a function of topology of the network from local coherence strongly dependent on the distance between two neurons, to global coherence exhibiting a larger degree of ordering and spanning the whole network.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 12 November 2004

DOI:https://doi.org/10.1103/PhysRevE.72.031909

©2005 American Physical Society

Authors & Affiliations

Bethany Percha, Rhonda Dzakpasu, and Michał Żochowski

  • Department of Physics and Biophysics Research Division, University of Michigan, Ann Arbor, Michigan 48109, USA

Jack Parent

  • Department of Neurology, University of Michigan Medical School, Ann Arbor, Michigan 48109, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 72, Iss. 3 — September 2005

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×