Inability of Lyapunov exponents to predict epileptic seizures.
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.
Lai
Ying-Cheng
YC
Department of Mathematics and Statistics, Arizona State University, Tempe, Arizona 85287, USA.
Harrison
Mary Ann F
MA
Frei
Mark G
MG
Osorio
Ivan
I
D002540:Cerebral Cortex / Q000503:physiopathology; D003344:Cortical Synchronization; D004569:Electroencephalography / Q000379:methods*; D004576:Electromyography / Q000379:methods; D004827:Epilepsy / Q000175:diagnosis* / Q000503:physiopathology; D006801:Humans; D008954:Models, Biological; D011237:Predictive Value of Tests