Analysis of Multichannel EEG Recordings Based on Generalized Phase Synchronization and Cointegrated VAR

Synchronization is shown to be a characteristic feature of electroencephalogram data collected from patients affected by neurological diseases, such as epilepsy. Phase synchronization has been applied successfully to investigate synchrony in neurophysiological signal. The classical approach to phase synchronization is inherently bivariate. We propose a novel multivariate approach to phase synchronization, by extending the bivariate case via cointegrated vector autoregression, and then apply the new concept to absence epilepsy data.

[1]  S. Bressler,et al.  Episodic multiregional cortical coherence at multiple frequencies during visual task performance , 1993, Nature.

[2]  T. Bullock,et al.  Lateral coherence of the electrocorticogram: a new measure of brain synchrony. , 1989, Electroencephalography and clinical neurophysiology.

[3]  P. Phillips Time series regression with a unit root , 1987 .

[4]  P. Phillips,et al.  Asymptotic Properties of Residual Based Tests for Cointegration , 1990 .

[5]  F. Varela,et al.  Measuring phase synchrony in brain signals , 1999, Human brain mapping.

[6]  W Singer,et al.  Visual feature integration and the temporal correlation hypothesis. , 1995, Annual review of neuroscience.

[7]  Abarbanel,et al.  Tracking unstable orbits in chaos using dissipative feedback control. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  F. Varela Resonant cell assemblies: a new approach to cognitive functions and neuronal synchrony. , 1995, Biological research.

[9]  Gordon J. Gilbert,et al.  Neurological Differential Diagnosis, 2nd ed , 1997, Neurology.

[10]  Kestutis Pyragas Continuous control of chaos by self-controlling feedback , 1992 .

[11]  Arkady Pikovsky,et al.  A universal concept in nonlinear sciences , 2006 .

[12]  F. Varela,et al.  A quantitative study of gamma‐band activity in human intracranial recordings triggered by visual stimuli , 2000, The European journal of neuroscience.

[13]  Ying-Wong Cheung,et al.  Lag Order and Critical Values of the Augmented Dickey-Fuller Test , 1995 .

[14]  J. Kurths,et al.  Phase synchronization: from theory to data analysis , 2003 .

[15]  W. Freeman Spatial properties of an EEG event in the olfactory bulb and cortex. , 1978, Electroencephalography and clinical neurophysiology.

[16]  S. Johansen,et al.  MAXIMUM LIKELIHOOD ESTIMATION AND INFERENCE ON COINTEGRATION — WITH APPLICATIONS TO THE DEMAND FOR MONEY , 2009 .

[17]  Chris Chatfield,et al.  Introduction to Statistical Time Series. , 1976 .

[18]  Dennis Gabor,et al.  Theory of communication , 1946 .

[19]  Roy,et al.  Coherence and phase dynamics of spatially coupled solid-state lasers. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[20]  Roy,et al.  Experimental synchronization of chaotic lasers. , 1994, Physical review letters.

[21]  Jürgen Kurths,et al.  Synchronization: Phase locking and frequency entrainment , 2001 .

[22]  Norman R. Heckenberg,et al.  EXPERIMENTAL EVIDENCE OF FREQUENCY ENTRAINMENT BETWEEN COUPLED CHAOTIC OSCILLATIONS , 1998 .

[23]  Helmut Lütkepohl,et al.  Introduction to multiple time series analysis , 1991 .

[24]  F. Varela,et al.  Perception's shadow: long-distance synchronization of human brain activity , 1999, Nature.

[25]  W. Fuller,et al.  Distribution of the Estimators for Autoregressive Time Series with a Unit Root , 1979 .

[26]  F. Mormann,et al.  Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients , 2000 .

[27]  W. Singer,et al.  Visuomotor integration is associated with zero time-lag synchronization among cortical areas , 1997, Nature.

[28]  Parlitz,et al.  Experimental observation of phase synchronization. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[29]  James G. MacKinnon,et al.  Approximate Asymptotic Distribution Functions for Unit-Root and Cointegration Tests , 1994 .

[30]  Balth van der Pol Jun Docts. Sc.,et al.  LXXII. The heartbeat considered as a relaxation oscillation, and an electrical model of the heart , 1928 .

[31]  Marco Monti,et al.  Phase Synchronization of Chaos in a plasma discharge tube , 2000, Int. J. Bifurc. Chaos.

[32]  Jürgen Kurths,et al.  Detection of n:m Phase Locking from Noisy Data: Application to Magnetoencephalography , 1998 .

[33]  Louis M. Pecora,et al.  Cascading synchronized chaotic systems , 1993 .

[34]  G. Carter Coherence and time delay estimation , 1987, Proceedings of the IEEE.

[35]  Michael P. Murray A Drunk and Her Dog: An Illustration of Cointegration and Error Correction , 1994 .

[36]  J. Martinerie,et al.  The brainweb: Phase synchronization and large-scale integration , 2001, Nature Reviews Neuroscience.

[37]  James G. MacKinnon,et al.  Critical Values for Cointegration Tests , 1990 .

[38]  Peterman,et al.  High frequency synchronization of chaos. , 1995, Physical review letters.

[39]  J. Martinerie,et al.  Comparison of Hilbert transform and wavelet methods for the analysis of neuronal synchrony , 2001, Journal of Neuroscience Methods.

[40]  G. Edelman,et al.  Consciousness and Complexity , 1998 .