Skip to main content
Log in

Dimension and entropy analysis of MEG time series from human α-rhythm

  • Original Contributions
  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

Magnetoencephalograms (MEG) from human brain were measured by means of a 37 channel SQUID magnetometer (KRENIKON). Correlation integrals were calculated from time series exhibiting strong α-rhythm in order to give estimates of correlation dimension andK 2 entropy. The results are discussed regarding the length and the stationarity of the data. It is shown that low spurious correlation dimensions andK 2-entropies may easily be obtained as artefacts due to time correlations in phase space and data length. When time correlations are avoided and the length of time series is taken into account, estimates of correlation dimension andK 2 entropy indicate no evidence of the existence of low dimensionality.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Frank, G.W., Lookman, T., Nerenberg, M., Essex, C., Lemieux, J., Blume, W.: Phys. D46, 427 (1990)

    Google Scholar 

  2. Dvorak, I., Siska, J.: Phys. Lett. A118, (2) 63 (1986)

    Google Scholar 

  3. Destexhe, A., Sepulchre, J.A., Babloyantz, A.: Phys. Lett. A132, 2/3 101 (1988)

    Google Scholar 

  4. Babloyantz, A.: In: Quantitative measures of dynamical complexity in nonlinear systems, p. 51. Abraham, N., Albano, A. (eds.). NATO ARW Series: New York: Plenum Press 1989

    Google Scholar 

  5. Graf, K.E., Elbert, T., Röschke, J., Basar, E.: In: Brain dynamics. Basar, E., Bullock, T.H. (eds.). Berlin, Heidelberg, New York: Springer 1989

    Google Scholar 

  6. Mayer-Kress, G., Holzfuss, J., Babloyantz, A., Destexhe, A.: In: Temporal Disorder in Human Oscillatory Systems, Rensing, L., an der Heiden, U., Mackey, M.C. (eds.). Berlin, Heidelberg, New York: Springer 1986

    Google Scholar 

  7. Gallez, D., Babloyantz, A.: Biol. Cybern.64, 381 (1991)

    Google Scholar 

  8. Gallez, D., Babloyantz, A.: Phys. Lett. A161, 247 (1991)

    Google Scholar 

  9. Layne, S.P., Mayer-Kress, G., Holzfuss, J., Babloyantz, A.: In: Dimensions and entropies in chaotic systems. Mayer-Kress, G. (ed.), Springer Series. Berlin, Heidelberg, New York: Springer 1986

    Google Scholar 

  10. Babloyantz, A.: Proc. Natl. Acad. Sci., USA.83, 3513 (1986)

    Google Scholar 

  11. Schittenhelm, R., Oppelt, A.: Physik in unserer Zeit 1990 Nr.4 (1990)

  12. Hoenig, H.E., Daalmans, G., Folbert, W., Reichenberger, H.: Cryogenics.29, 809 (1989)

    Google Scholar 

  13. Christian, W.: Lehrbuch: Klinische Electroenzephalographie, 3. Auflage. Stuttgart: Thieme 1982

    Google Scholar 

  14. Kugler, J.: Elektroenzephalographie in Klinik und Praxis. Stuttgart: Thieme 1981

    Google Scholar 

  15. Vvedensky, V.L., Ilmoniemi, R.J., Kajola, M.J.: XIV ICMBE and VII ICMP, ESPOO, Finland, 1985

  16. Theiler, J.: Phys. Lett. A155, 8/9, 480 (1991)

    Google Scholar 

  17. Theiler, J.: J. Opt. Soc. Am. A7, 6, 1055 (1990)

    Google Scholar 

  18. Osborne, A.R., Provenzale, A.: Phys. D35, 357 (1989)

    Google Scholar 

  19. Takens, F.: Phys. Rev. Lett.51, (14), 1265 (1980)

    Google Scholar 

  20. Broomhead, D.S., King, G.P.: Phys. D20, 217 (1986)

    Google Scholar 

  21. Grassberger, P., Procaccia, I.: Phys. Rev. Lett.50 (5), 346 (1983)

    Google Scholar 

  22. Grassberger, P., Badii, R., Politi, A.: J. Stat. Phys.51, 1/2 (1988)

    Google Scholar 

  23. Frank, M., Blank, H.-R., Heindl, J., Kaltenhäuser, M., Kreische, W., Poscher, S., Sporer, R.: Phys. D (to appears 1993)

  24. Grassberger, P., Schreiber, T., Schaffrath, C.: WU B91-14 Physics Department, University of Wuppertal, Germany 1991

  25. Holzfuss, J.: Dissertation, Göttingen 1987

  26. Grassberger, P., Procaccia, I.: Phys. Rev. A28, (4), 2591 (1983)

    Google Scholar 

  27. Havstad, J.W., Ehlers, C.L.: Phys. Rev. A39, (2), 845 (1989)

    Google Scholar 

  28. Theiler, J.: Phys. Rev. A34, 3, 2427 (1986)

    Google Scholar 

  29. Eckmann, J.-P., Ruelle, D.: Phys. D56, 185 (1992)

    Google Scholar 

  30. Grummich, P., Veith, J., Kober, H., Scholz, T.: Biomagnetism 91 Clin. Phys. Physiol.12, 61(1991)

    Google Scholar 

  31. Blank, H.-R., Frank, M., Heindl, J., Kaltenhäuser, M., Kreische, W., Poscher, S., Sporer, R., Vieth, J., Grummich, P., Kober, H.: in progress (to be published)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blank, H.R., Frank, M., Geiger, M. et al. Dimension and entropy analysis of MEG time series from human α-rhythm. Z. Physik B - Condensed Matter 91, 251–256 (1993). https://doi.org/10.1007/BF01315243

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01315243

Keywords

Navigation