Skip to main content
SpringerLink
Log in

The fractal dimension of EEG as a physical measure of conscious human brain activities

  • Published:
Bulletin of Mathematical Biology Aims and scope Submit manuscript

Abstract

In our previous paper we have given a neuroglia modulated neuronal network model which may display chaotic behaviours under certain parametric values. This work is an attempt to correlate the functions of conscious human brains with the chaotic states shown by the EEG patterns under different physiological conditions. Some of the difficulties and precautions of this kind of work are discussed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature

  • Albano, A. M.et al. 1986. “Laser and Brain: Complex Systems with Low Dimensional Attractors.” InDimensions and Entropies in Chaotic Systems—Quantification of Complex Behaviours. G. Mayer-Kress (Ed.), 231–240. Berlin: Springer.

    Google Scholar 

  • Cohen, A. and I. Procaccia. 1985. “Computing the Kolmogorov Entropy from Time Series Signals of Dissipative and Conservative Dynamic Systems.”Phys. Rev. A. 31A, 1872–1882.

    Article  Google Scholar 

  • Eckmann, J. P. and D. Ruelle. 1985. “Ergodic Theory of Chaos and Strange Attractors.”Rev. of Mod. Phys. 57, 617–656.

    Article  MATH  MathSciNet  Google Scholar 

  • Grassberger, P. 1983. “Generalized Dimensions of Strange Attractors.”Phys. Lett. 97A, 227–230.

    MathSciNet  Google Scholar 

  • — and I. Procaccia. 1983a. “Measuring the Strangeness of Strange Attractors.”Physica 9D, 189–208.

    MathSciNet  Google Scholar 

  • — and —. 1983b. “Characterization of Strange Attractors.”Phys. Rev. Lett.,50, 346–349.

    Article  MathSciNet  Google Scholar 

  • — and —. 1983c. Estimation of Kolmogorov Entropy from A Chaotic Signal.”Phys. Rev. A. 28A, 2591–2593.

    Article  Google Scholar 

  • Ling, F. H. 1988. A personal communication.

  • Mayer-Kress, G. and S. P. Layne. 1987. “Dimensionality of Human Electroencephalogoram.” InPerspectives in Biological Dynamics and Theoretical Medicine. S. H. Koslow, A. J. Mandell and M. F. Shlesinger (Eds). Austria: Urban and Schwarzenberg.

    Google Scholar 

  • Reilly, E. L. 1982. “EEG Recording and Operation of the Apparatus.” InElectroencephalography. E. Niedermeyer and F. L. da Silva (Eds). Austria. Urban and Schwarzenberg.

    Google Scholar 

  • Takens, F. 1980. “Detecting Strange Attractors in Turbulence.” InDynamical Systems and Turbulence.Lecture Notes in Mathematics, Vol. 898. D. A. Rand and L. S. Young (Eds), pp. 365–381. New York Springer.

    Google Scholar 

  • Xu Jinghua and Li Wei. 1986. “The Dynamics of Large Scale Neuroglia Network and Its Relations to Brain Functions.”Commun. in Theor. Phys. (Beijing, China)5, 336–346.

    Google Scholar 

  • — and —. 1987. “The Dynamics of A Glia Modulated Neuroanal Network and Its Relation to Brain Functions.” InLecture Notes in Biomathematics, Vol. 71.Mathematical Topics Population Biology, Morphogenesis and Neurosciences E. Teramoro and Yamaguti (Eds) New York: Springer.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shanghai Institute of Physiology, Academia Sinica, Shanghai, China

    Xu Nan

  2. Shanghai Institute of Biochemistry, Academic Sinica, Shanghai, China

    Xu Jinghua

Authors
  1. Xu Nan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xu Jinghua
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nan, X., Jinghua, X. The fractal dimension of EEG as a physical measure of conscious human brain activities. Bltn Mathcal Biology 50, 559–565 (1988). https://doi.org/10.1007/BF02458853

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02458853

Keywords

Search

Navigation