Estimation of coupling between oscillators from short time series via phase dynamics modeling: Limitations and application to EEG data

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 estimat...

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Veröffentlicht in:Chaos (Woodbury, N.Y.) N.Y.), 2005-06, Vol.15 (2), p.024102-024102-10
Hauptverfasser: Smirnov, D. A., Bodrov, M. B., Velazquez, J. L. Perez, Wennberg, R. A., Bezruchko, B. P.
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container_issue 2
container_start_page 024102
container_title Chaos (Woodbury, N.Y.)
container_volume 15
creator Smirnov, D. A.
Bodrov, M. B.
Velazquez, J. L. Perez
Wennberg, R. A.
Bezruchko, B. P.
description 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.
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subjects Electroencephalography - instrumentation
Electroencephalography - methods
Epilepsy - diagnosis
Epilepsy - pathology
Humans
Models, Statistical
Nonlinear Dynamics
Normal Distribution
Oscillometry
Statistics as Topic
Stochastic Processes
Time Factors
title Estimation of coupling between oscillators from short time series via phase dynamics modeling: Limitations and application to EEG data
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