Correlation dimension and integral do not predict epileptic seizures.
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.
Harrison
Mary Ann F
MA
Flint Hills Scientific L.L.C., 5020 Bob Billings Parkway, Suite A, Lawrence, Kansas 66049, USA.
Osorio
Ivan
I
Frei
Mark G
MG
Asuri
Srividhya
S
Lai
Ying-Cheng
YC
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