%0 Journal Article
%T An explanation of the distribution of inter-seizure intervals
%A M. V. Simkin
%A V. P. Roychowdhury
%J Quantitative Biology
%D 2010
%I arXiv
%R 10.1209/0295-5075/91/58005
%X Recently Osorio et al (Eur. J. Neurosci., 30 (2009) 1554) reported that probability distribution of intervals between successive epileptic seizures follows a power law with exponent 1.5. We theoretically explain this finding by modeling epileptic activity as a branching process, which we in turn approximate by a random walk. We confirm the theoretical conclusion by numerical simulation.
%U http://arxiv.org/abs/1004.3598v2