Inability of Lyapunov Exponents to Predict Epileptic Seizures

Ying-Cheng Lai, Mary Ann F. Harrison, Mark G. Frei, and Ivan Osorio
Phys. Rev. Lett. 91, 068102 – Published 8 August 2003

Abstract

It has been claimed that Lyapunov exponents computed from electroencephalogram or electrocorticogram (ECoG) time series are useful for early prediction of epileptic seizures. We show, by utilizing a paradigmatic chaotic system, that there are two major obstacles that can fundamentally hinder the predictive power of Lyapunov exponents computed from time series: finite-time statistical fluctuations and noise. A case study with an ECoG signal recorded from a patient with epilepsy is presented.

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  • Received 3 April 2003

DOI:https://doi.org/10.1103/PhysRevLett.91.068102

©2003 American Physical Society

Authors & Affiliations

Ying-Cheng Lai1, Mary Ann F. Harrison2, Mark G. Frei2, and Ivan Osorio2,3

  • 1Department of Mathematics and Statistics, Departments of Electrical Engineering and Physics, Arizona State University, Tempe, Arizona 85287, USA
  • 2Flint Hills Scientific L.L.C., 5020 15th Street, Lawrence, Kansas 66049, USA
  • 3Department of Neurology, University of Kansas Medical Center, 3901 Rainbow Boulevard, Kansas City, Kansas 66160, USA

Comments & Replies

Comment on “Inability of Lyapunov Exponents to Predict Epileptic Seizures”

Leonidas D. Iasemidis, Konstantinos Tsakalis, J. Chris Sackellares, and Panos M. Pardalos
Phys. Rev. Lett. 94, 019801 (2005)

Lai et al. Reply:

Ying-Cheng Lai, Mary Ann F. Harrison, Mark G. Frei, and Ivan Osorio
Phys. Rev. Lett. 94, 019802 (2005)

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Vol. 91, Iss. 6 — 8 August 2003

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