| Issue |
EPL
Volume 91, Number 5, September 2010
|
|
|---|---|---|
| Article Number | 58005 | |
| Number of page(s) | 4 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/91/58005 | |
| Published online | 23 September 2010 | |
An explanation of the distribution of inter-seizure intervals
Department of Electrical Engineering, University of California - Los Angeles, CA 90095-1594, USA
a
simkin@ee.ucla.edu
b
vwani@ee.ucla.edu
Received:
10
May
2010
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
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