Abstract
To improve our understanding of the physiology of generalized tonic-clonic (GTC) seizures, we have investigated the stationarity and redundancy of 21-electrode EEG data recorded from ten patients during GTC seizures elicited by electroconvulsive therapy (ECT). Stationarity was examined by calculating probability density functions (pdfs) and power spectra over small equal-length non-overlapping time windows and then by studying, visually and quantitatively, the evolution of these quantities over the duration of the seizures. Our analysis shows that some seizures had no demonstrable stationarity, that most seizures had time intervals of at least a few seconds that were statistically stationary by several criteria, and that, in some seizures, there were leads which were delayed in manifesting the statistical changes associated with seizure onset evident in other leads. The redundancy analysis demonstrated for the first time posterior-to-anterior time delays in the mid-ictal region of GTC seizures. The implications of these findings are discussed for the analysis of GTC seizure EEG data, for the physiology of GTC seizures, and for ECT research.
Similar content being viewed by others
References
Abarbanel, H.D., Brown, R. and Tsimring, L.S. The analysis of observed chaotic data in physical systems. Rev. Mod. Phys., 1993, 65(4): 1331-1392.
Abrams, R. Seizure generalization and the efficacy of unilateral ECT. Convulsive Therapy, 1991, 7: 213-217.
American Psychiatric Association, Washington, DC. The Practice of ECT: Recommendations for Treatment, Training, and Privileging, 1990.
Barlow, J.S. Methods of analysis of nonstationary EEGs, with emphasis on segmentation techniques: A comparative review. J. Clin. Neurophysiology, 1985, 2: 267-304.
Brumback, R.A. and Station, R.D. The electroencephalographic pattern during electroconvulsive therapy. Clin. Electroenceph., 1982, 13: 148-153.
Cohen, A.B. and Sances, A. Stationarity of the human electroencephalogram. Med. & Biol. Eng. & Comput., 1977, 15: 513-518.
d'Elia, G. Unilateral electroconvulsive therapy. Acta Psychiatr. Scand. Suppl., 1970, 46: 30-97.
Enderle, J.D., Staton, R.D., Gerst, J.W., Barr, C.E. and Brumback, R.A. The electroencephalographic pattern during electroconvulsive therapy III. Analysis of frontotemporal and nasopharyngeal spectral energy. Clinical Electroencephalography, 1986, 17: 66-77.
Ferber, G. Treatment of some nonstationarities in the EEG. Neuropsychobiology, 1987, 17: 100-104.
Fisch, B.J. Generalized tonic-clonic seizures. In: E. Wyllie, (Ed.), The Treatment of Epilepsy: Principles and Practice, Williams and Wilkins, Baltimore, 1996: 502-521.
Fraser, A.M. Information and entropy in strange attractors. IEEE Trans. Info. Theory, 1989, 35(2): 245-262.
Gastaut, H. and Broughton, R. Epileptic Seizures. Charles C. Thomas, Springfield, IL., 1972.
Gotman, J. Interhemispheric relations during bilateral spike-wave activity. Epilepsia, 1981, 22: 453-466.
Horel, J.D. Complex principal component analysis: theory and examples. J. Climate and Applied Meteorology, 1984, 23: 1660-1673.
Johnson, R. and Wichern, D.W. Applied Multivariate Statistical Analysis. Prentice Hall, Englewood Cliffs, NJ, third edition, 1992.
Kawabata, N. A nonstationary analysis of the electroencephalogram. IEEE Trans. Biomed. Eng., 1973, 20: 444-452.
Krystal, A.D., Greenside, H.S., Weiner, R.D. and Gassert, D. A comparison of EEG signal dynamics in waking, after anesthesia induction and during ECT seizures. Electroencephalography and Clinical Neurophysiology, 1996, 99: 129-140.
Krystal, A.D., Weiner, R.D., Coffey, C.E., Smith, P., Arias, R. and Moffett, E. EEG evidence of more "intense" seizure activity with bilateral ECT. Biological Psychiatry, 1992, 31: 617-621.
Krystal, A.D., Weiner, R.D. and Coffey, C.E. The ictal EEG as a marker of adequate stimulus intensity with unilateral ECT. J. Neuropsychiatry and Clin. Neurophysiol., 1995, 7: 295-303.
Krystal, A.D., Zaidman, C., Greenside, H.S, Weiner, R.D. and Coffey, C.E. The largest Lyapunov exponent of the EEG during ECT seizures as a measure of ECT seizure adequacy. Electroencephalography and Clinical Neurophysiology, 1997, 103: 599-606.
Leuchter, A.F., Newton, T.F., Cook, I.A. and Walter, D.O. Changes in brain functional connectivity in alzheimer-type and multi-infarct dementia. Brain, 1992, 115: 1543-1561.
Li, W. Mutual information functions versus correlation functions. J. Stat. Phys., 1990, 60(5/6): 823-837.
Lopes da Silva, F., Pijn, J.P. and Boeijinga, P. Interdependence of EEG signals: linear vs. nonlinear associations and the significance of time delays and phase shifts. Brain Topography, 1989, 2(1/2): 9-18.
Luders, H., Burgess, R. and Noachtar, S. Expanding the international classification of seizures to provide localization information. Neurology, 1993, 43: 1650-1655.
Luders, H., Daube, J., Johnston, J. and Klass, D. Computer analysis of generalized spike-wave complexes. Epilepsia, 1980, 21: 183.
Mars, N.J.I., Thompson, P.M. and Wilkus, R.J. Spread of epileptic seizure activity in humans. Epilepsia, 1985, 26: 85-94.
Mars, N.J.I. and van Arragon, G.W. Time delay estimation in nonlinear systems using average amount of mutual information analysis. Signal Processing, 1982, 4: 139-153.
Mayer-Kress, G. Localized measures for nonstationary time-series of physiological data. Integrative Physiological and Behavioral Science, 1994, 29(3): 205-210.
Niedermeyer, E. Epileptic seizure disorders. In: E. Niedermeyer and F. Lopes da Silva, (Eds.), Electroencephalography: Basic Principles, Clinical Applications, and Related Fields, Williams and Wilkins, Baltimore, MD, 1993: 461-564.
Nobler, M.S., Sackeim, H.A., Solomou, M., Luber, B., Devanand, D.P. and Prudic, J. EEG manifestations during ECT: Effects of electrode placement and stimulus intensity. Biol. Psychiatry, 1993, 34: 321-330.
Pfurtscheller, G. Some results of the analysis of epileptic seizure patterns by correlation-methods. In: H. Petsche and M. Brazier, (Eds.), Synchronization of EEG Activity in Epilepsies, Springer Verlag, New York, 1971: 286-290.
Pijn, J.P.M., Vijn, P.C.M., Lopes da Silva, F.H., Van Ende Boas, W. and Blanes, W. Localization of epileptogenic foci using a new signal analytic approach. Neurophysiol. Clin., 1990, 20: 1-11.
Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P. Numerical Recipes in C, Second Edition. Cambridge University Press, New York, 1992.
Priestley, M.B. Nonlinear and Nonstationary Time Series Analysis. Academic Press, London, 1988.
Rodin, E.A., Gonzales, S., Caldwell, D. and Laginess, D. Photic evoked responses during induced epileptic seizures. Epilepsia, 1966, 7: 202-214.
Rush, S. and Driscoll, D.A. Current distribution in the brain from surface electrodes. Anesthesia and Analgesia, 1968, 47: 717-723.
Sackeim, H.A., Devanand, D.P. and Prudic, J. Stimulus intensity, seizure threshold, and seizure duration: Impact on the efficacy and safety of ECT. Psychiatric Clin. North Am, 1991, 14: 803-843.
Sackeim, H.A., Prudic, J., Devanand, D.P., Kiersky, J.E., Fitzsimons, L., Moody, B.J., McElhiney, M.C., Coleman, E.A. and Settembrino, J.M. Effects of stimulus intensity and electrode placement on the efficacy and cognitive side-effects of electroconvulsive therapy. New Eng. J. Med., 1993, 328: 839-846.
Small, J.G., Small, I.F., Perez, H.C. and Sharpley, P. Electroencephalographic and neurophysiological studies of electrically induced seizures. J. Nerv. Ment. Dis, 1970, 150: 479-489.
Staton, R.D., Hass, P.J. and Brumback, R.A. Electroencephalographic recording during bitemporal and unilateral non-dominant hemisphere (Lancaster position) electroconvulsive therapy. J. Clin. Psychiatry, 1981, 42: 264-269.
Sugimoto, H., Ishii, H., Iwata, A. and Suzumura, N. On the stationarity and normality of the electroencephalographic data during sleep stages. Computer Programs in Biomedicine, 1978, 8: 224-234.
Swartz, C.M. and Larson, G. Generalization of the effects of unilateral and bilateral ECT. Am. J. Psychiatry, 1986, 143: 1040-1041.
Swartz, C.M. Generalization, duration, and low-frequency electroencephalographic persistence of bilateral electroconvulsive therapy seizure. Biological Psychiatry, 1995, 38(12): 837-842.
The international league against epilepsy. Proposal for revised clinical and electrographic classification of epileptic seizures. Epilepsia, 1981, 22: 489-501.
Van Quyen, M.L., Martinerie, J., Adam, C. and Varela, F.J. Non-linear analyses of interictal EEG map the brain interdependences in human focal epilepsy. Physica D, 1999, 127: 250-266.
Weaver, L., Williams, R. and Rush, S. Current density in bilateral and unilateral ECT. Biological Psychiatry, 1976, 11: 303-312.
Weiner, R.D., Coffey, C.E. and Krystal, A.D. The monitoring and managment of electrically induced seizures. In: C. Kellner, (Ed.), Psychiatric Clinics of North America, W.B. Saunders, New York, 1991, 14: 845-869.
Weiner, R.D. and Krystal, A.D. EEG monitoring of ECT seizures. In: C. Edward Coffey, (Ed.), The Clinical Science of Electroconvulsive Therapy, American Psychiatric Press, Washington, DC, 1993: 93-109.
Weiner, R.D. and Krystal, A.D. EEG monitoring of ECT seizures. In: The clinical Science of Electroconvulsive Therapy, American Psychiatric Press, Washington, DC, 1993: 93-109.
Weiner, R.D. and Krystal, A.D. The present use of electroconvulsive therapy. Annual Review of Medicine, 1994, 45: 273-281.
West, M., Prado, R. and Krystal, A.D. Evaluation and comparison of EEG traces: Latent structure in nontationary time-series. J. American Stat. Assn., 1999, 94: 375-387.
Witt, A., Kirths, J. and Pikovsky, A. Testing stationarity in time series. Phys. Rev. E, 1998, 58(2): 1800-1810.
Wyllie, E. and Luders, H. Classification of seizures. In: E. Wyllie (Ed.), The Treatment of Epilepsy: Principles and Practice, Williams and Wilkins, Baltimore, 1996: 355-357.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zoldi, S.M., Krystal, A. & Greenside, H.S. Stationarity and Redundancy of Multichannel EEG Data Recorded During Generalized Tonic-Clonic Seizures. Brain Topogr 12, 187–200 (2000). https://doi.org/10.1023/A:1023489807177
Issue Date:
DOI: https://doi.org/10.1023/A:1023489807177