Nonlinear EEG Dynamics During Sleep in Depression and Schizophrenia

References

• American Psychiatric Association. Diagnostic and statistical manual of mental disorders. 3rd ed rev. American Psychiatric Press, Washington, DC 1987
   Google Scholar
• Aihara K., Matsumoto G. Chaotic oscillations and bifurcations in squid giant axons. Chaos, A. V. Holden. Princeton University Press. 1986; 257–270
   Google Scholar
• Babloyantz A., Destexhe A. Is the normal heart a periodic oscillator. Biological Cybernetics 1988; 58: 203–211
   PubMed Web of Science ®Google Scholar
• Basar E. EEG-brain dynamics: Relation between EEC and brain evoked potentials. Elsevier, North Holland 1980
   Google Scholar
• Borbély A. A., Tobler I., Loepf M., Kupfer D. J., Ulrich R. F., Grochocinski V., Doman J., Matthews G. All-night spectral analysis of sleep EEG in untreated depressives and normal controls. Psychiatry Research 1984; 12: 27–33
   PubMed Web of Science ®Google Scholar
• Bullock T. H. An agenda for research on chaotic dynamics. Chaos in brain function, E. Basar. Springer, Berlin 1990; 31–41
   Google Scholar
• Callaway E., Naghdi S. An information processing model for schizophrenia. Archives of General Psychiatry 1982; 39: 339–347
   PubMed Web of Science ®Google Scholar
• Cavallero C., Cicogna P., Natale V., Occiönero M., Zito A. Slow wave sleep dreaming. Sleep 1992; 15: 562–566
   PubMed Web of Science ®Google Scholar
• Creutzfeld O. D. Cortex cerebri. Berlin, Berlin, Heidelberg, New York, Tokyo 1983
   Google Scholar
• Crick F., Mitchison G. The function of dream sleep. Nature 1983; 304: 111–114
   PubMed Web of Science ®Google Scholar
• Conrad M. What is the use of chaos. Chaos, A. V. Holden. Princeton University Press, New York 1986; 3–14
   Google Scholar
• Dvorak I., Siska J., Wackermann J., Hrudova L., Dostalek C. Evidence for interpretation of the EEG as a deterministic chaotic process with a low dimension. Activ nerv supp (Praha) 1986; 28: 229–231
   Google Scholar
• Elbert T., Lutzenberger W., Rockstroh B., Berg P., Cohen R. Physical aspects of the EEG in schizophrenics. Biological Psychiatry 1992; 32: 595–606
   PubMed Web of Science ®Google Scholar
• Emrich H. M. Psychiatrische Anthropologic: Therapeutische Bedeutung von Wahnsystemen. Pfeiffer, Miinchen 1990
   Google Scholar
• Fell J., Röschke J. Nonlinear dynamical aspects of the human sleep EEG. International Journal of Neuroscience 1994, this issue
   Google Scholar
• Frank G. W., Lookman T., Nerenberg M. A. H., Essex C., Lemieux J., Blume W. Chaotic time series analyses of epileptic seizures. Physica D 1990; 46: 427–438
   Web of Science ®Google Scholar
• Freeman W. J. Simulation of chaotic EEG patterns with a dynamic model of the olfactory system. Biological Cybernetics 1987; 56: 139–150
   PubMed Web of Science ®Google Scholar
• Garfinkel A. A mathematics for physiology. American Journal of Physiology 1983; 245: R455–R466
   PubMed Web of Science ®Google Scholar
• Gillin J. C., Buchsbaum M. S., Jacobs L. S. Partial REM sleep deprivation, schizophrenia, and field articulation. Archives of General Psychiatry 1974; 30: 653–662
   PubMed Web of Science ®Google Scholar
• Gillin J. C. The sleep therapies in depression. Progress in Neuropsychopharmacology and Biological Psychiatry 1983; 7: 351–361
   PubMed Web of Science ®Google Scholar
• Glass L., Shrier A., Belair J. Chaotic cardiac rhythms. Chaos, A. V. Holden. Princeton University press. 1986; 237–256
   Google Scholar
• Goldberger A. L., West B. J. Applications of nonlinear dynamics to clinical cardiology. Annals of the New York Academy of Sciences 1987; 504: 195
   PubMed Web of Science ®Google Scholar
• Grassberger P., Procaccia I. Characterisation of strange attractors. Physical Review Letters 1983; 50: 346
   Web of Science ®Google Scholar
• Hobson J. A. Sleep and dreaming. Journal of Neurosciences 1990; 10: 371–382
   PubMed Web of Science ®Google Scholar
• Hoffmann R. E. Computer stimulations of neural information processing and the schizophreniamania dichotomy. Archives of General Psychiatry 1987; 44: 178–188
   PubMed Web of Science ®Google Scholar
• Holden A. V., Winlow W., Haydon P. G. The induction of periodic and chaotic activity in a molluscan neurone. Biological Cybernetics 1982; 43: 169–173
   PubMed Web of Science ®Google Scholar
• Home J. A. Human sleep, sleep loss and behaviour. British Journal of Psychiatry 1993; 162: 413–419
   PubMed Web of Science ®Google Scholar
• Iasemidis L. D., Sackellares J. C. The evolution with time of the spatial distribution of the largest Lyapunov-exponent on the human epileptic cortex. Measuring chaos in the human brain, W. S. Pritchard, D. W. Duke. World Scientific, Singapore 1991; 49–82
   Google Scholar
• Jansen B. H. “Is it?” and “So what”–a critical view of EEG chaos. Measuring chaos in the human brain, W. S. Pritchard, D. W. Duke. World Scientific, Singapore 1986; 83–96
   Google Scholar
• Keshavan M. S., Reynolds C. F., Kupfer D. J. Electroencephalographic sleep in schizophrenia–A critical review. Comprehensive Psychiatry 1990; 30: 34–47
   Google Scholar
• Koukkou M., Lehmann D., Wackermann J., Dvorak I., Henggeler B. The dimensional complexity of the EEG in untreated acute Schizophrenics, in persons in remission after a first Schizophrenic episode and in controls. Schizophrenia Research 1992; 6: 129
   Web of Science ®Google Scholar
• Koukkou M., Lehmann D., Wackermann J., Dvorak I., Henggeler B. Dimensional complexity of EEG brain mechanisms in untreated schizophrenia. Biological Psychiatry 1993; 33: 397–407
   PubMed Web of Science ®Google Scholar
• Krystal A. D., Weiner R. D. The largest Lyapunov-exponent of the EEG in ECT seizures. Measuring chaos in the human brain, W. S. Pritchard, D. W. Duke. World Scientific, Singapore 1991; 113–127
   Google Scholar
• Kupfer A. D., Reynolds C. F. Slow wave sleep as a protective factor. Eating, sleeping and sex, A. J. Stunkard, A. Baum. Lawrence Erlbaum, New Jersey 1989; 131–145
   Google Scholar
• Lauer C. J., Riemann D., Wiegand M., Berger M. Altersunabhangige Veranderungen in der Schlafstruktur depressiver Patienten. Biologische Psychiatrie, B. Saletu. Thieme, Stuttgart 1989; 380–385
   Google Scholar
• Lauterborn W., Holzfuss J. Acoustic chaos. International Journal of Bifurcation and Chaos 1991; 1: 13–26
   Web of Science ®Google Scholar
• Nan X., Jinghua X. The fractal dimension of EEG as a physical measure of conscious human brain activation. Bulletin of Mathematics and Biology 1988; 50: 559–565
   PubMed Web of Science ®Google Scholar
• Ott E., Grebogi C., Yorke J. A. Controlling chaotic dynamical systems. Chaos/Xaoc–Soviet-American Perspectives on Nonlinear Science, K. Campbell. American Institute of Physics. 1990; 153–171
   Google Scholar
• Pool R. Is it healthy to be chaotic. Science 1989; 243: 604–607
   PubMed Web of Science ®Google Scholar
• Rapp P. E., Albano A. M., Mees A. I. Calculation of correlation dimensions from experimental data. Progress and Problems. Dynamic patterns in complex systems, J. A. S. Kelso, A. J. Mandell, M. F. Schlesinger. World Scientific, Singapore 1988; 191–205
   Google Scholar
• Ray W. J., Wells R., Elbert T., Lutzenberger W., Birbaumer N. EEG and chaos: dimension estimation of sensory and hypnotic processes. Measuring chaos in the human brain, W. S. Pritchard, D. W. Duke. World Scientific, Singapore 1991; 199–215
   Google Scholar
• Rechtschaffen A., Kales A. A manual of standardized terminology, technics and scoring system for sleep stages of human subjects. US Government Printing Office, Washington, DC 1968, Public Health Service, NIH Publication No. 204
   Google Scholar
• Reynolds C. F., Kupfer D. J. Sleep research in affective illness: State of the art circa 1987. Sleep 1987; 10: 199–215
   PubMed Web of Science ®Google Scholar
• Riemann D., Hohagen F., Lauer C., Berger M. Longterm evolution of sleep in depression. Sleep and Aging, S. Smirne, M. Franceschi, L. Ferini-Strambi. Masson, Paris 1991; 195–204
   Google Scholar
• Roschke J., Aldenhoff J. Estimation of the dimensionality of sleep-EEG data in schizophrenics. European Archives of Psychiatry and Clinical Neuroscience 1993; 242: 191–196
   PubMed Web of Science ®Google Scholar
• Roschke J. Aspects of the chaotic structure of sleep EEG data. Neuropsvchobiology 1992; 25: 61–62
   PubMed Web of Science ®Google Scholar
• Skarda C., Freeman W. How brains make chaos in order to make sense of the world. Behavioral and Brain Sciences 1987; 10: 161–195
   Web of Science ®Google Scholar
• Takens F. Detecting strange attractors in turbulence. Lecture notes in mathematics. Springer, Berlin 1981; 898, 366–381
   Google Scholar
• Theiler J. Spurious dimensions from correlation algorithms applied to limited time-series data. Physical Review A 1986; 34: 2427
   PubMed Web of Science ®Google Scholar
• Wolf A., Swift J. B., Swinney H. L., Vastano J. A. Determining Lyapunov exponents from a time series. Physica D 1985; 16: 285
   Web of Science ®Google Scholar
• Zarcone V., Azumi K., Dement W. C. REM phase deprivation and schizophrenia II. Archives of General Psychiatry 1975; 32: 1431–1436
   PubMed Web of Science ®Google Scholar