title: Correlation dimension and integral do not predict epileptic seizures.
abstract: Reports in the literature have indicated potential value of the correlation integral and dimension for prediction of epileptic seizures up to several minutes before electrographic onset. We apply these measures to over 2000 total hours of continuous electrocortiogram, taken from 20 patients with epilepsy, examine their sensitivity to quantifiable properties such as the signal amplitude and autocorrelation, and investigate the influence of embedding and filtering strategies on their performance. The results are compared against those obtained from surrogate time series. Our conclusion is that neither the correlation dimension nor the correlation integral has predictive power for seizures.
authors.affiliation: Flint Hills Scientific L.L.C., 5020 Bob Billings Parkway, Suite A, Lawrence, Kansas 66049, USA.
authors.forename: Mary Ann F
authors.initials: MA
authors.lastname: Harrison
authors.forename: Ivan
authors.initials: I
authors.lastname: Osorio
authors.forename: Mark G
authors.initials: MG
authors.lastname: Frei
authors.forename: Srividhya
authors.initials: S
authors.lastname: Asuri
authors.forename: Ying-Cheng
authors.initials: YC
authors.lastname: Lai
mesh_terms: D003198:Computer Simulation; D003936:Diagnosis, Computer-Assisted / Q000379:methods*; D004569:Electroencephalography / Q000379:methods*; D004827:Epilepsy / Q000175:diagnosis* / Q000503:physiopathology*; D017709:Fractals; D006801:Humans; D008959:Models, Neurological; D017711:Nonlinear Dynamics; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted; D013223:Statistics as Topic