An explanation of the distribution of inter-seizure intervals
Department of Electrical Engineering, University of California - Los Angeles, CA 90095-1594, USA
Accepted: 29 August 2010
Recently Osorio et al. (Eur. J. Neurosci., 30 (2009) 1554) reported that the probability distribution of intervals between successive epileptic seizures follows a power law with exponent 1.5. We theoretically explain this finding by modeling the epileptic activity as a branching process, which we, in turn, approximate by a random walk. We confirm the theoretical conclusion by numerical simulation.
PACS: 87.18.Sn – Neural networks and synaptic communication / 87.10.Mn – Stochastic modeling
© EPLA, 2010