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

Physica D: Nonlinear Phenomena

Volumn 144, Issue 3, 2000, Pages 358-369

  Mormann, Florian ^a   Lehnertz, Klaus ^a   David, Peter ^a   E Elger, Christian ^a  

^a UNIVERSITY OF BONN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DISEASES; ELECTROENCEPHALOGRAPHY; MATHEMATICAL TRANSFORMATIONS; SYNCHRONIZATION;

EPILEPSY; HILBERT TRANSFORMS;

CHAOS THEORY;

EID: 0034300367     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00087-7     Document Type: Article

References (40)

1. Fabiny L., Colet P., Roy R., Lenstra D. Coherence and phase dynamics of spatially coupled solid-state lasers. Phys. Rev. A. 47:1993;4287-4296.
2. Roy R., Thornburg K.S. Jr. Experimental synchronization of chaotic lasers. Phys. Rev. Lett. 72:1994;2009-2012.
3. Peterman D.W., Ye M., Wigen P.E. High frequency synchronization of chaos. Phys. Rev. Lett. 74:1995;1740-1742.
4. Heagy J.F., Carroll T.L., Pecora L.M. Synchronous chaos in coupled oscillatory systems. Phys. Rev. E. 50:1994;1874-1885.
5. Han S.K., Kurrer C., Kuramoto Y. Dephasing and bursting in coupled neural oscillators. Phys. Rev. Lett. 75:1995;3190-3193.
6. Kocarev L., Parlitz U. General approach for chaotic synchronization with applications to communication. Phys. Rev. Lett. 74:1995;5028-5031.
7. Rosenblum M.G., Pikovsky A.S., Kurths J. Phase synchronization of chaotic oscillators. Phys. Rev. Lett. 76:1996;1804-1807.
8. Parlitz U., Junge L., Lauterborn W., Kocarev L. Experimental observation of phase synchronization. Phys. Rev. E. 54:1996;2115-2117.
9. 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.
10. Schäfer C., Rosenblum M.G., Kurths J., Abel H.H. Heartbeat synchronized with ventilation. Nature. 392:1998;239-240.
11. Rosenblum M.G., Kurths J., Pikovsky A.S., Schäfer C., Tass P., Abel H.H. Synchronization in noisy systems and cardiorespiratory interaction. IEEE Eng. Med. Biol. 17:1998;46-53.
12. Schäfer C., Rosenblum M.G., Abel H.H., Kurths J. Synchronization in human cardiorespiratory system. Phys. Rev. E. 60:1999;857-870.
13. Tass P., Rosenblum M.G., Weule J., Kurths J., Pikovsky A.S., Volkmann J., Schnitzler A., Freund H.J. Detection of n:m phase locking from noisy data: application to magnetoencephalography. Phys. Rev. Lett. 81:1998;3291-3294.
14. J. Engel Jr., Seizures and Epilepsy, Davies, Philadelphia, PA, 1989.
15. J. Engel Jr., T.A. Pedley, Epilepsy: A Comprehensive Textbook, Lippincott-Raven, New York, 1997.
16. H. Petsche, M.A.B. Brazier (Eds.), Synchronization of EEG Activity in Epilepsies. Springer, New York, 1972.
17. C. Hugenii, Horoloquium Oscilatorum, Paris, France, 1673.
18. Gabor D. Theory of communication. Proc. IEE London. 93:1946;429-457.
19. P. Panter, Modulation, Noise, and Spectral Analysis, McGraw-Hill, New York, 1965.
20. 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.
21. B. Boashash, Time-frequency Signal Analysis: Methods and Applications, Longman Cheshire, Melbourne, 1992.
22. Rössler O.E. An equation for continuous chaos. Phys. Lett. A. 57:1976;397-398.
23. Lorenz E.N. Deterministic nonperiodic flow. J. Atomos. Sci. 20:1963;130-141.
24. Zaks M.A., Park E.-H., Rosenblum M.G., Kurths J. Alternating locking ratios in imperfect phase synchronization. Phys. Rev. Lett. 82:1999;4228-4231.
25. 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.
26. K.V. Mardia, Probability and Mathematical Statistics: Statistics of Directional Data, Academic Press, London, 1972.
27. Rosenblum M.G., Pikovksy A.S., Kurths J. From phase to lag synchronization in coupled chaotic oscillators. Phys. Rev. Lett. 78:1997;4193-4196.
28. Barlow J.S. Methods of analysis of nonstationary EEGs with emphasis on segmentations techniques: a comparative review. J. Clin. Neurophysiol. 2:1985;267-304.
29. Blanco S., Garcia H., Quian Quiroga R., Romanelli L., Rosso O.A. Stationarity of the EEG series. IEEE Eng. Med. Biol. 4:1995;395-399.
30. Suzuki W.A. Neuroanatomy of the monkey entorhinal, perirhinal and parahippocampal cortices: organization of cortical inputs and interconnections with amygdala and striatum. Sem. Neurosci. 8:1996;3-12.
31. Fernandez G., Effern A., Grunwald T., Pezer N., Lehnertz K., Dümpelmann M., Van Roost D., Elger C.E. Real-time tracking of memory formation in the human rhinal cortex and hippocampus. Science. 285:1999;1582-1585.
32. Arnhold J., Grassberger P., Lehnertz K., Elger C.E. A robust method for detecting interdependences: application to intracranially recorded EEG. Physica D. 134:1999;419-430.
33. Lehnertz K., Elger C.E. Spatio-temporal dynamics of the primary epileptogenic area in temporal lobe epilepsy characterized by neuronal complexity loss. Electroenceph. Clin. Neurophysiol. 95:1995;108-117.
34. Pijn J.P., Velis D.N., van der Heyden M.J., DeGoede J., van Veelen C.W., Lopes da Silva F.H. Nonlinear dynamics of epileptic seizures on basis of intracranial EEG recordings. Brain Topography. 9:1997;249-270.
35. Lehnertz K., Elger C.E. Can epileptic seizures be predicted? Evidence from nonlinear time series analysis of brain electrical activity. Phys. Rev. Lett. 80:1998;5019-5022.
36. Martinerie J., Adam C., Le Van Quyen M., Baulac M., Clemenceau S., Renault B., Varela F.J. Epileptic seizures can be anticipated by non-linear analysis. Nature Med. 4:1998;1173-1176.
37. Moser H.R., Weber B., Wieser H.G., Meier P.F. Electroencephalograms in epilepsy: analysis and seizure prediction within the framework of Lyapunov theory. Physica D. 130:1999;291-305.
38. Casdagli M.C., Iasemidis L.D., Sackelares J.C., Roper S.N., Gilmore R.L., Savit R.S. Characterizing nonlinearity in invasive EEG recordings from temporal lobe epilepsy. Physica D. 99:1996;381-399.
39. 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.
40. 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).