Using nonlinear dynamic metric tools for characterizing brain structures

IEEE Engineering in Medicine and Biology Magazine

Volumn 16, Issue 4, 1997, Pages 83-92

  Blanco, S ^a   Figliola, A ^a   Kochen, S ^b   Rosso, O A ^a,b,c  

^a INSTITUTO DE CÁLCULO   (Argentina)

^b UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^c Institute of Medicine and Experimental Biology of Cuyo   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR DYNAMIC METRIC TOOLS;

ALGORITHMS; CORRELATION METHODS; ELECTROENCEPHALOGRAPHY; LYAPUNOV METHODS; SIGNAL PROCESSING;

BRAIN;

ALGORITHM; BRAIN; ELECTROENCEPHALOGRAM; NONLINEAR SYSTEM; REVIEW;

ALGORITHMS; BRAIN; ELECTROENCEPHALOGRAPHY; EPILEPSY; HUMANS; MODELS, NEUROLOGICAL; NONLINEAR DYNAMICS;

EID: 0031194082     PISSN: 07395175     EISSN: None     Source Type: Journal    
DOI: 10.1109/51.603652     Document Type: Review

References (31)

1. Gevins A, Rémond A (Eds): Handbook of Electroencephalography and Clinical Neurophysiology, Vol. I: Methods of Analysis of Brain Electrical and Magnetic Signals, Elsevier, Amsterdam, 1987.
2. Lopes da Silva FH, Storm van Leeuwen A, Rémond A (Eds): Handbook of Electroencephalography and Clinical Neurophysiology, Vol. II: Clinical Applications of Computer Analysis of EEG and Other Neurophysiological Signals, Elsevier, Amsterdam, 1986.
3. Niedermeyer E and Lopes da Silva F (Eds): Electroencephalography: Basic Principles, Clinical Applications and Related Fields, Urban and Schwarzenberg, Baltimore, 1982.
4. Schuster HG: Deterministic Chaos, Physik-Verlag, 1984.
5. Bergè P, Y. Pomeau Y, and Vidal Ch.: L'Ordre dans le Chaos, Hermann, Paris, 1984.
6. Eckmann JP and Ruelle D.: Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57 (1985) 617.
7. Abarbanel HDI, Brown R, Sidorowich JJ, and Tsimring LS: The analysis of observed chaotic data in physical systems Rev. Mod. Phys. 65 (1993) 1331.
8. Grassberger P, Procaccia I: On the characterization of strange attractors. Phys. Rev. Lett. 50 (1983) 346.
9. Grassberger P, Procaccia I: Measuring the stragness of strange attractors. Phyica D 9 (1983) 189.
10. Wolf A, Swift JB, Swinney HL, Vastano JA: Determining Lyapunov exponents from a time series, Physica D 16 (1985) 285.
11. Eckmann JP, Oliffson Komphorst S, Ruelle, Ciliberto DS: Lyapunov exponents from time series. Phys. Rev. A 34 (1986) 4971.
12. Meyer-Kress G (Eds): Dimensions and Entropies in Chaotic Systems, Springer-Verlag, Berlin, 1986 and 1989.
13. Abraham NB, Albano AM, Passamante A, Rapp P: Measures of Complexity and Chaos, NATO, Series B208, 1989.
14. Packard NH, Crutchfield JP, Farmer JD, Shaw RS: Geometry from a time series, Phys. Rev. Lett. 45 (1980) 712.
15. Mañé R: On the dimension of compact invariant set of certain nonlinear maps. In: Dynamical Systems and Turbulence, Warwick 1980, Lecture Notes in Mathematics 898, pp 230-242 Springer-Verlag, 1981
16. Takens F: Detecting strange attractors in turbulence. In: Dynamical Systems and Turbulence, Warwick 1980, Lecture Notes in Mathematics 898, pp 366-381, Springer-Verlag, 1981
17. Babloyantz A: Evidence of chaotic dynamics of brain activity during the sleep cycle. In G. Meyer-Kress (Eds): Dimensions and Entropies in Chaotic Systems, Springer-Verlag, Berlin, pp 241-245, 1986.
18. Meyer-Kress G, Layne SC: Dimensionality of human electroencephalogram. In S. H. Koslow, A. J. Mandel, M. F. Shlesinger (Eds): Perspectives in Biological Dynamics and Theoretical Medicine, Ann. N. Y. Acad. Sci. 504, 1987.
19. Basar E: Chaos in Brain Function, Springer-Verlag, Berlin, 1990.
20. Pijn JPN, Van Neerven J, Noest A, Lopes da Silva F: Chaos or noise in EEG signals; dependence on state and brain site. Electroencephalography and clinical Neurophysiology, 79 (1991) 371-381.
21. West BJ: Fractal Physiology and Chaos in Medicine, Nonlinear Phenomena in Life Science, Vol 1, West B J (Eds), World Scientific, Singapore, 1990.
22. McEwen JA, Anderson GB: Modeling the stationarity and gaussianity of spontaneous electroencephalographic activity. IEEE Trans. biomed. Engng. BME-22, (1975) 361.
23. Gasser T: General characteristic of the EEG as a signal. In A. Remond (Eds): EEG Informatics: a Didactic Review of Methods and Applications of EEG Data Processing, Elsevir, New York, pp 37-55, 1977.
24. Sugimoto H, Ishii N, Suzumura N: Stationarity and normality test for biomedical data. Comput. Program. Biomed. 7 (1977) 293.
25. Jenkins GM, Watts D: Spectral Analysis and Its Applications. Holden-Day, San Francisco, 1968.
26. Blanco S, Garcia H, Quian Quiroga R, Romanelli L, Rosso OA: Stationarity of the EEG series. IEEE Eng. in Med. and Biol. 14 (1995) 395.
27. Rosenstein MT, Collins JJ, De Luca CJ: Reconstruction expansion as a geometry-based framework for choosing proper delay times. Physica D 73 (1994) 82.
28. Kennel MB, Brawn R, Abarbanel HDI: Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys. Rev. A 45 (1992) 3403.
29. Rosenstein MT, Collins JJ, De Luca CJ: A practical method for calculating largest Lyapunov exponents from small data sets. Physica D 65 (1993) 117.
30. Eckmann JP, Ruelle D: Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems. Physica D 56 (1992) 185-187.
31. Gallez D and Babloyantz A: Predictability of human EEG: a dynamical approach. Biol. Cybern. 64 (1991) 381-391.