Human brain dynamics: The analysis of EEG signals with Tsallis information measure

Physica A: Statistical Mechanics and its Applications

Volumn 265, Issue 1-2, 1999, Pages 235-254

  Capurro, A ^a   Diambra, L ^b   Lorenzo, D ^a   Macadar, O ^a   Martin, M T ^b,c   Mostaccio, C ^b,d   Plastino, A ^b,c   Perez J ^b,c   Rofman, E ^e   Torres, M E ^f   Velluti, J ^a  

^a INSTITUTO DE INVESTIGACIONES BIOLÓGICAS CLEMENTE ESTABLE   (Uruguay)

^b UNIVERSIDAD NACIONAL DE LA PLATA   (Argentina)

^c Universidad Nacional de Río Cuarto Consejo Nacional de Investigaciones Científicas y Técnicas   (Argentina)

^d Buenos Aires Res Commission ^*  (Argentina)

^e INRIA   (France)

^f UNIVERSIDAD NACIONAL DE ENTRE RÍOS   (Argentina)

Author keywords

Multiresolution analysis; Nonlinear systems; Tsallis information measure; Wavelet transform

Indexed keywords

BRAIN; OPTICAL RESOLVING POWER; WAVELET TRANSFORMS;

MULTIRESOLUTION ANALYSIS; TSALLIS INFORMATION MEASURE;

ELECTROENCEPHALOGRAPHY;

EID: 0033098951     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(98)00471-3     Document Type: Article

References (61)

1. B.H. Jansen, M.E. Brandt, Nonlinear Dynamical Analysis of the EEG, World Scientific, Singapore, 1993.
2. P. Grassberger, T. Schreiber, C. Schaffrath, Int. J. Bifurcation Chaos 1 (1991) 521.
3. P. Grassberger, I. Procaccia, Phys. Rev. lett. 50 (1983) 346.
4. J.P.M. Pijnet al., Electroencephalogr. Clin. Neurophysiol. 79 (1991) 371.
5. H.J.A. Beldhuiset al., Eur. J. Neurosci. 5 (1993) 944.
6. A. Babloyantz, A. Destexhe, Proc. Natl. Acad. Sci. USA 83 (1986) 3515.
7. K. Lehnertz, C.E. Elger, Electroencephalogr. Clin. Neurophysiol. 95 (1995) 108.
8. J. Theiler, Phys. Lett. A 196 (1995) 335.
9. D.E. Lerner, Physica D 97 (1997) 563.
10. K. Lehnertz, C.E. Elger, Electroencephalogr. Clin. Neurophysiol. 104 (1997) 376.
11. J.P.M. Pijnet al., Brain Topogr. 9 (1997) 249.
12. M.C. Casdagli, Electroencephalogr. Clin. Neurophysiol. 102 (1997) 98.
13. K. Lehnertz, C.E. Elger, Phys. Rev. Lett. 80 (1998) 5019.
14. B.P. Stein, Physics Update of Phys. Today 51 (1998) 9.
15. F.H. Lopes da Silva, S. van Leeuwen, A. Rémond, Handbook of Electroencephalography and Clinical Neurophysiology. vol. II: Clinical Application of Computer Analysis of EEG and other Neurophysiological Signals, Elsevier, Amsterdam, 1986.
16. J. Jackson, J. Hughling, Br. Med. J. 1 (1890) 765.
17. H. Matsumoto, C. Ajmone-Marsan, Exp. Neurol. 9 (1964) 286.
18. H. Matsumoto, C. Ajmone-Marsan, Exp. Neurol. 9 (1964) 305.
19. D. Johnston, T.H. Brown, Electrophysiology of Epilepsy, P.A. Schwartzkroin, H.V. Wheal (Eds.), Academic Press, London, 1984, p. 277.
20. E. Niedermeyer, in: E. Niedermeyer, F. Lopez Da Silva (Eds.), Electroencephalography, Basic Principles, Clinical Applications and Related Field, F. Urban, Schwarzenberg. Baltimore, 1983, p. 115.
21. J. Fell, J. Roeschke, K. Mann, C. Schaeffner, EEG Clin. Neurophys. 98 (1996) 401.
22. J. Theiler, P.E. Rapp, Electroencephal. Clin. Neurophys. 98 (1996) 213.
23. C.J. Stam, T.C.A.M. van Woerkon, W.S. Pritchard, Electroencephal. Clin. Neurophys. 99 (1996) 214.
24. A.P. Anokhin, N. Birbaumer, W. Lutzenberger, A. Nikolaev, F. Vogel, Electroencephal. Clin. Neurophys. 99 (1996) 63.
25. J.E. Arle, R.H. Simon, Electroencephal. Clin. Neurophys. 75 (1990) 296.
26. S.A.R.B Rombouts, R.W.M. Keunen, C.J. Stam, Phys. Lett. A 202 (1995) 352.
27. W.S. Pritchard, D.W. Duke, K.K. Krieble, Psychophysiology 32 (1995) 486.
28. A. Babloyantz, in: Meyer-Kress (Ed.), Dimensions and Entropies in Chaotics Systems, Springer, Berlin, 1986, pp. 241-245.
29. E. Basar, Chaos in Brain's Function, Springer, Berlin, 1990.
30. G. Meyer-Kress, S.C. Layne, in: M.F. Shlesinger, S.H. Koslow, A.J. Mandel (Eds,). Perspectives in Biological Dynamics and Theoretical Medicine, Ann. N.Y. Acad. Sci., vol. 504, New York Academy of Science, New York, 1987.
31. L.D. Iasemidis, C. Sackellares, H. Zaveri, W. Williams, in: Proc. 25th Ann. Rocky Mountain BioIng. Symp., 1988, pp. 1201-1203.
32. L.D. lasemidis, J.C. Sackellares, H.P. Zaveri, W.J. Williams, Brain Topogr. 2 (1990) 187.
33. P. Grassberger, I. Procaccia, Phys. Rev. A 28 (1983) 2591.
34. J. Van Neerven, Determination of the correlation dimension from a time series, applications to rat EEGs: sleep, theta rythm and epilepsy, Master's thesis. Dept. Exp. Zoology, Univ. of Amsterdam, Amsterdam, 1988 (unpublished).
35. A. Wolf, J.B. Swift, H.L. Swinney, Physica D 16 (1985) 285.
36. A. Capurro, E. Diambra, D. Lorenzo, O. Macadar, M.T. Martin, A. Plastino, E. Rofman, M. E. Torres, J. Velluti, INRIA Rapp. de Rech. Prog. 5 (June 1997) 3184.
37. A. Capurro, E. Diambra, D. Lorenzo, O. Macadar, M.T. Martin, C. Mostaccio, A. Plastino, E. Rofman, M.E. Torres, J. Velluti, Physica A 257 (1998) 149.
38. C. Shannon, W. Weaver, The Mathematical Theory of Communication, University of Illinois Press, Urbana, 1948.
39. A.I. Kinchin, Mathematical Foundations of Information Theory, Dover, New York, 1957.
40. C. Tsallis, Fractals 6 (1995) 539, and references therein.
41. C. Tsallis, J. Stat. Phys. 52 (1988) 479.
42. E.M.F. Curado, C. Tsallis, J. Phys. A 24 (1991) E69; Corrigenda: 24 (1991) 3187 and 25 (1992) 1019.
43. A.R. Plastino, A. Plastino, Phys. Lett. A 177 (1993) 177.
44. A.R. Plastino, A. Plastino, Phys. Lett. A 174 (1993) 384.
45. A.R. Plastino, A. Plastino, Phys. Lett. A 193 (1994) 251.
46. P.A. Alemany, D.H. Zanette, Phys. Rev. E 49 (1994) 956.
47. B.M.R. Boghosian, Phys. Rev. E 53 (1995) 4754.
48. T.J.P. Penna, Phys. Rev. E 51 (1995) R1.
49. A.R. Plastino, A. Plastino Physica A 202 (1994) 438.
50. F. Pennini, A. Plastino, A.R. Plastino, Physica A 234 (1996) 471.
51. D. Gabor, J. IEEE (London) 93 (1946) 429.
52. C.K. Chui, Wavelets: A Tutorial in Theory and Applications, Academic Press, Boston, 1991.
53. S. Mallat, Trans. Am. Math. Soc. 315 (1) (1989) 69.
54. C.K. Chui, An Introduction to Wavelets, Academic Press, New York, 1992.
55. Y. Meyer, Wavelets. Algorithms and Applications, SIAM, Philadelphia, PA, 1993.
56. S. Mallat, IEEE Trans. Signal Process. II (7) (1989) 674.
57. P. Abry, A. Aldrouby, J. Fourier Anal. Appl., in press.
58. A. Aldroubi, in Wavelets in Medicine and Biology, A. Aldroubi, M. Unser (Eds.), CRC Press, Boca Raton, FL, 1996, Chap. I, pp. 3-36.
59. M. Unser, A. Aldroubi, E. Murray, Signal Processing 30 (1993) 141.
60. A. Plastino, L. Rebollo, G. Alvarez, Phys. Rev. A 40 (1989) 1644.
61. L.G. Gamero, A. Plastino, M.E. Torres, Physica A 246 (1997) 487.