通过相位动力学建模从短时间序列估计振荡器之间的耦合：局限性及在脑电图数据中的应用

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

作者信息

Smirnov D A, Bodrov M B, Velazquez J L Perez, Wennberg R A, Bezruchko B P

机构信息

Saratov Branch, Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Zelyonaya Street 38, Saratov 410019, Russia.

出版信息

Chaos. 2005 Jun;15(2):24102. doi: 10.1063/1.1938487.

DOI:10.1063/1.1938487

PMID:16035902

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.

摘要

我们在数值实验中证明，基于振荡器相位动力学建模的振荡器之间耦合强度和方向性的估计器[D. A. 斯米尔诺夫和B. P. 别兹鲁奇科，《物理评论E》68, 046209 (2003)]具有广泛的适用性。也就是说，尽管这些估计器及其置信带的表达式是针对受独立高斯白噪声源影响的线性非耦合振荡器推导出来的，但结果表明，对于不同噪声特性、振荡器显著的相位非线性以及它们之间非零的耦合，这些估计器能够从相对较短的时间序列中可靠地表征耦合。我们应用这些估计器来分析双通道人类颅内癫痫脑电图（EEG）记录，以进行癫痫病灶定位。