Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients

Fabiny, 1993, Coherence and phase dynamics of spatially coupled solid-state lasers, Phys. Rev. A, 47, 4287, 10.1103/PhysRevA.47.4287 Roy, 1994, Experimental synchronization of chaotic lasers, Phys. Rev. Lett., 72, 2009, 10.1103/PhysRevLett.72.2009 Peterman, 1995, High frequency synchronization of chaos, Phys. Rev. Lett., 74, 1740, 10.1103/PhysRevLett.74.1740 Heagy, 1994, Synchronous chaos in coupled oscillatory systems, Phys. Rev. E, 50, 1874, 10.1103/PhysRevE.50.1874 Han, 1995, Dephasing and bursting in coupled neural oscillators, Phys. Rev. Lett., 75, 3190, 10.1103/PhysRevLett.75.3190 Kocarev, 1995, General approach for chaotic synchronization with applications to communication, Phys. Rev. Lett., 74, 5028, 10.1103/PhysRevLett.74.5028 Rosenblum, 1996, Phase synchronization of chaotic oscillators, Phys. Rev. Lett., 76, 1804, 10.1103/PhysRevLett.76.1804 Parlitz, 1996, Experimental observation of phase synchronization, Phys. Rev. E, 54, 2115, 10.1103/PhysRevE.54.2115 M. Schieck, F.R. Drepper, R. Engbert, H.H. Abel, K. Suder, Cardiorespiratory synchronization, in: H. Kantz, et al. (Eds.), Nonlinear Analysis of Physiological Data, Springer, Berlin, 1998. Schäfer, 1998, Heartbeat synchronized with ventilation, Nature, 392, 239, 10.1038/32567 Rosenblum, 1998, Synchronization in noisy systems and cardiorespiratory interaction, IEEE Eng. Med. Biol., 17, 46, 10.1109/51.731320 Schäfer, 1999, Synchronization in human cardiorespiratory system, Phys. Rev. E, 60, 857, 10.1103/PhysRevE.60.857 Tass, 1998, Detection of n:m phase locking from noisy data: application to magnetoencephalography, Phys. Rev. Lett., 81, 3291, 10.1103/PhysRevLett.81.3291 J. Engel Jr., Seizures and Epilepsy, Davies, Philadelphia, PA, 1989. J. Engel Jr., T.A. Pedley, Epilepsy: A Comprehensive Textbook, Lippincott-Raven, New York, 1997. H. Petsche, M.A.B. Brazier (Eds.), Synchronization of EEG Activity in Epilepsies. Springer, New York, 1972. C. Hugenii, Horoloquium Oscilatorum, Paris, France, 1673. Gabor, 1946, Theory of communication, Proc. IEE London, 93, 429 P. Panter, Modulation, Noise, and Spectral Analysis, McGraw-Hill, New York, 1965. M.G. Rosenblum, J. Kurths, Analysing synchronization phenomena from bivariate data by means of the Hilbert transform, in: H. Kantz, et al. (Eds.), Nonlinear Analysis of Physiological Data, Springer, Berlin, 1998. B. Boashash, Time-frequency Signal Analysis: Methods and Applications, Longman Cheshire, Melbourne, 1992. Rössler, 1976, An equation for continuous chaos, Phys. Lett. A, 57, 397, 10.1016/0375-9601(76)90101-8 Lorenz, 1963, Deterministic nonperiodic flow, J. Atomos. Sci., 20, 130, 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 Zaks, 1999, Alternating locking ratios in imperfect phase synchronization, Phys. Rev. Lett., 82, 4228, 10.1103/PhysRevLett.82.4228 M. Hoke, K. Lehnertz, C. Pantev, B. Lütkenhöner, Spatiotemporal aspects of synergetic processes in the auditory cortex as revealed by magnetoencephalogram, in: E. Basar, T.H. Bullock (Eds.), Series in Brain Dynamics, Vol. 2, Springer, Berlin, 1989. K.V. Mardia, Probability and Mathematical Statistics: Statistics of Directional Data, Academic Press, London, 1972. Rosenblum, 1997, From phase to lag synchronization in coupled chaotic oscillators, Phys. Rev. Lett., 78, 4193, 10.1103/PhysRevLett.78.4193 Barlow, 1985, Methods of analysis of nonstationary EEGs with emphasis on segmentations techniques: a comparative review, J. Clin. Neurophysiol., 2, 267, 10.1097/00004691-198507000-00005 Blanco, 1995, Stationarity of the EEG series, IEEE Eng. Med. Biol., 4, 395, 10.1109/51.395321 Suzuki, 1996, Neuroanatomy of the monkey entorhinal, perirhinal and parahippocampal cortices: organization of cortical inputs and interconnections with amygdala and striatum, Sem. Neurosci., 8, 3, 10.1006/smns.1996.0002 Fernandez, 1999, Real-time tracking of memory formation in the human rhinal cortex and hippocampus, Science, 285, 1582, 10.1126/science.285.5433.1582 Arnhold, 1999, A robust method for detecting interdependences: application to intracranially recorded EEG, Physica D, 134, 419, 10.1016/S0167-2789(99)00140-2 Lehnertz, 1995, Spatio-temporal dynamics of the primary epileptogenic area in temporal lobe epilepsy characterized by neuronal complexity loss, Electroenceph. Clin. Neurophysiol., 95, 108, 10.1016/0013-4694(95)00071-6 Pijn, 1997, Nonlinear dynamics of epileptic seizures on basis of intracranial EEG recordings, Brain Topography, 9, 249, 10.1007/BF01464480 Lehnertz, 1998, Can epileptic seizures be predicted? Evidence from nonlinear time series analysis of brain electrical activity, Phys. Rev. Lett, 80, 5019, 10.1103/PhysRevLett.80.5019 Martinerie, 1998, Epileptic seizures can be anticipated by non-linear analysis, Nature Med., 4, 1173, 10.1038/2667 Moser, 1999, Electroencephalograms in epilepsy: analysis and seizure prediction within the framework of Lyapunov theory, Physica D, 130, 291, 10.1016/S0167-2789(99)00043-3 Casdagli, 1996, Characterizing nonlinearity in invasive EEG recordings from temporal lobe epilepsy, Physica D, 99, 381, 10.1016/S0167-2789(96)00160-1 R.G. Andrzejak, G. Widman, K. Lehnertz, C. Rieke, P. David, C.E. Elger, The epileptic process as nonlinear deterministic dynamics in a stochastic environment, Clinical Neurophysiol. J.C. Sackelares, L.D. Iasemidis, R.L. Gilmore, S.N. Roper, Epileptic seizures as neural resetting mechanism, Epilepsia 38 (Suppl. 3) (1997) 189 (Abstract).