Dynamics of the human alpha rhythm: evidence for non-linearity?

Clinical Neurophysiology - Tập 110 - Trang 1801-1813 - 1999
C.J. Stam1, J.P.M. Pijn2, P. Suffczynski2,3, F.H. Lopes da Silva2
1Department of Neurology and Clinical Neurophysiology, Leyenburg Hospital, The Hague, The Netherlands
2Instituut voor Epilepsiebestrijding “Meer en Bosch” / “De Cruquiushoeve,” Heemstede, The Netherlands
3Laboratory of Medical Physics, Warsaw University, Warsaw, Poland

Tài liệu tham khảo

Anokhin, 1996, Age increases brain complexity, Electroenceph clin Neurophysiol, 99, 63, 10.1016/0921-884X(96)95573-3 Basar E, Bullock TH. Induced rhythms in the brain. Birkhäuser: Boston, MA, 1992. Crutchfield, 1982, Fluctuations and simple chaotic dynamics, Phys Rep, 92, 45, 10.1016/0370-1573(82)90089-8 Elbert, 1994, Chaos and physiology: deterministic chaos in excitable cell assemblies, Physiolog Rev, 74, 1, 10.1152/physrev.1994.74.1.1 Glass, L., Kaplan, D.T., Lewis, J.E. Tests for deterministic dynamics in real and model neural networks. In: Jansen, B.H., Brandt, M.E., editors. Proceedings of the second annual conference on nonlinear dynamical analysis of the EEG. Singapore: World Scientific, 1993: 233–249. Hernandez, 1995, EEG predictability: properness of non-linear forecasting methods, Int J Bio-Med Comput, 38, 197, 10.1016/S0020-7101(05)80001-7 Kennel, 1992, Determining embedding dimension for phase space reconstruction using a geometrical reconstruction, Phys Rev A, 45, 3403, 10.1103/PhysRevA.45.3403 Lopes da Silva, 1991, Neural mechanisms underlying brain waves: from neural membranes to networks, Electroenceph clin Neurophysiol, 79, 81, 10.1016/0013-4694(91)90044-5 Lopes da Silva, F.H. The generation of electric and magnetic signals of the brain by local networks. In: Greger, R., Windhorst, U., editors. Comprehensive human physiology, vol. 1. Berlin: Springer, 1996: 509–531. Lopes da Silva, 1974, Model of brain rhythmic activity, Kybernetik, 15, 27, 10.1007/BF00270757 Lopes da Silva, 1976, Models of neuronal populations: the basic mechanisms of rhythmicity, Prog Brain Res, 45, 281, 10.1016/S0079-6123(08)60995-4 Lopes da Silva, 1997, Alpha rhythms:noise, dynamics and models, Int J Psychophysiol, 26, 237, 10.1016/S0167-8760(97)00767-8 Meyer-Lindenberg, 1997, The evolution of complexity in human brain development: an EEG study, Electroenceph clin Neurophysiol, 99, 405, 10.1016/S0013-4694(96)95699-0 Osborne, 1989, Finite correlation dimension for stochastic systems with power-law spectra, Physica D, 35, 357, 10.1016/0167-2789(89)90075-4 Packard, 1980, Geometry from a time series, Phys Rev Lett, 45, 712, 10.1103/PhysRevLett.45.712 Palus, M. Testing for nonlinearity in the EEG. In: Jansen, B.H., Brandt, M.E., editors. Proceedings of the second annual conference on nonlinear dynamical analysis of the EEG. Singapore: World Scientific, 1993: 100–114. Palus, 1996, Nonlinearity in normal human EEG: cycles, temporal asymmetry, nonstationarity and randomness not chaos, Biol Cybern, 75, 389, 10.1007/s004220050304 Pezard, 1996, Entropy quantification of human brain spatio-temporal dynamics, Physica D, 96, 344, 10.1016/0167-2789(96)00032-2 Pfurtscheller, 1994, Event-related synchronization of mu rhythm in the EEG over the cortical hand area in man, Neurosci Lett, 174, 93, 10.1016/0304-3940(94)90127-9 Pijn, 1991, Chaos or noise in EEG signals; dependence on state and brain site, Electroenceph clin Neurophysiol, 79, 371, 10.1016/0013-4694(91)90202-F Pritchard, 1992, Measuring chaos in the brain: a tutorial review of nonlinear dynamical EEG analysis, Int J Neurosci, 67, 31, 10.3109/00207459208994774 Pritchard, 1995, Dimensional analysis of resting human EEG II: Surrogate data testing indicates nonlinearity but not low-dimensional chaos, Psychophysiology, 32, 486, 10.1111/j.1469-8986.1995.tb02100.x Rapp, 1993, Chaos in the neurosciences: cautionary tales from the frontier, Biologist, 40, 89 Rapp, 1993, Filtered noise can mimic low-dimensional chaotic attractors, Phys Rev E, 47, 2289, 10.1103/PhysRevE.47.2289 Rapp, 1994, Phase-randomized surrogates can produce spurious identifications of non-random structure, Phys Lett A, 192, 27, 10.1016/0375-9601(94)91010-3 Rey, 1997, Apport des mathématiques non-linéaires (théorie du chaos) à l'analyse de l'EEG, Neurophysiol Clin, 27, 406, 10.1016/S0987-7053(97)88807-7 Rombouts, 1995, Investigation of nonlinear structure in multichannel EEG, Phys Lett A, 202, 352, 10.1016/0375-9601(95)00335-Z Rosenstein, 1994, Reconstruction expansion as a geometry-based framework for choosing proper delay times, Physica D, 73, 82, 10.1016/0167-2789(94)90226-7 Sauer, 1991, Embedology, J Stat Phys., 65, 579, 10.1007/BF01053745 Schreiber, 1996, Improved surrogate data for nonlinearity tests, Phys Rev Lett., 77, 635, 10.1103/PhysRevLett.77.635 Schuuring, D. Modelleren en simuleren van epileptische activiteit. Masters Thesis. Rapport 080 DV-8807, communicatietechniek, Informatie en Systeemtheorie, Technische Universiteit Twente, 1988. Suffczynski, P., Pijn, J.P.M., Pfurtscheller, G., Lopes da Silva, F.H. Event-related dynamics of alpha band rhythms: a neuronal network model of focal ERD/surround ERS. In: Pfurtscheller, G., Lopes da Silva, F.H., editors. Event-related desynchronization: handbook of electroencephalography and clinical neurophysiology, revised series, vol. 6, in press. Sugihara, 1990, Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series, Nature, 344, 734, 10.1038/344734a0 Takens, 1981, Detecting strange attractors in turbulence, Lecture Notes Math, 898, 366, 10.1007/BFb0091924 Takens, F. The effect of small noise on systems with chaotic dynamics. In: van Strien, S.J., Verduyn Lunel, S.M., editors. Stochastic and spatial structures of dynamical systems. Verhandelingen Afd. Natuurkunde, KNAW, deel 45, 1996: 3–15. Theiler, 1992, Testing for nonlinearity in time series: the method of surrogate data, Physica D, 58, 77, 10.1016/0167-2789(92)90102-S Theiler, J.B., Galdrikian, A., Longtin, S., Eubank, A., Farmer, J.D. Using surrogate data to detect nonlinearity in time series. In: Casdagli and Eubank, S., editors. Nonlinear modeling and forecasting, SFI studies in the sciences of complexity, proc., Vol. XII. Addison-Wesley, 1992b: 163–188. Theiler, 1996, Re-examination of the evidence for low-dimensional nonlinear structure in the human electroencephalogram, Electroenceph clin Neurophysiol, 98, 213, 10.1016/0013-4694(95)00240-5 Valdez, P.A., Jimenez, J.C., Riera, J., Biscay, R., Ozaki, T. Nonlinear EEG analysis based on a neural mass model, preprint. Wilson, 1972, Excitatory and inhibitory interactions in localized populations of model neurons, Biophys J., 12, 1, 10.1016/S0006-3495(72)86068-5 Zetterberg, 1978, Performance of a model for a local neuron population, Biol Cybernet, 31, 15, 10.1007/BF00337367