title: Estimation of coupling between oscillators from short time series via phase dynamics modeling: limitations and application to EEG data.
abstract: We demonstrate in numerical experiments that estimators of strength and directionality of coupling between oscillators based on modeling of their phase dynamics [D. A. Smirnov and B. P. Bezruchko, Phys. Rev. E 68, 046209 (2003)] are widely applicable. Namely, although the expressions for the estimators and their confidence bands are derived for linear uncoupled oscillators under the influence of independent sources of Gaussian white noise, they turn out to allow reliable characterization of coupling from relatively short time series for different properties of noise, significant phase nonlinearity of the oscillators, and nonvanishing coupling between them. We apply the estimators to analyze a two-channel human intracranial epileptic electroencephalogram (EEG) recording with the purpose of epileptic focus localization.
authors.affiliation: Saratov Branch, Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Zelyonaya Street 38, Saratov 410019, Russia. smirnovda@info.sgu.ru
authors.forename: D A
authors.initials: DA
authors.lastname: Smirnov
authors.forename: M B
authors.initials: MB
authors.lastname: Bodrov
authors.forename: J L Perez
authors.initials: JL
authors.lastname: Velazquez
authors.forename: R A
authors.initials: RA
authors.lastname: Wennberg
authors.forename: B P
authors.initials: BP
authors.lastname: Bezruchko
mesh_terms: D016477:Artifacts; D004569:Electroencephalography / Q000295:instrumentation* / Q000379:methods*; D004827:Epilepsy / Q000175:diagnosis / Q000473:pathology; D006801:Humans; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D016011:Normal Distribution; D009991:Oscillometry; D013223:Statistics as Topic; D013269:Stochastic Processes; D013997:Time Factors