An explanation of the distribution of inter-seizure intervals

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Published 23 September 2010 Europhysics Letters Association
, , Citation M. V. Simkin and V. P. Roychowdhury 2010 EPL 91 58005 DOI 10.1209/0295-5075/91/58005

0295-5075/91/5/58005

Abstract

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.

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10.1209/0295-5075/91/58005