Abstract
A complex system analysis has been widely applied to examine the characteristics of an electroencephalogram (EEG) in health and disease, as well as the dynamics of the brain. In this study, two complexity measures, the correlation dimension and the spectral exponent, are applied to electrocorticogram (ECoG) data from subjects with epilepsy obtained during different states (seizure and non-seizure) and from different brain regions, and the complexities of ECoG data obtained during different states and from different brain regions are examined. From the computational results, the spectral exponent obtained from the wavelet-based fractal analysis is observed to provide information complementary to the correlation dimension derived from the nonlinear dynamical-systems analysis. ECoG data obtained during seizure activity have smoother temporal patterns and are less complex than data obtained during non-seizure activity. In addition, significant differences between these two ECoG complexity measures exist when applied to ECoG data obtained from different brain regions of subjects with epilepsy.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
National Institute of Neurological Disorders and Stroke, Seizures and Epilepsy: Hope through research, available at http://www.ninds.nih.gov/disorders/epilepsy/detailepilepsy.htm.
World Health Organization (WHO), Epilepsy, available at http://www.who.int/mediacentre/factsheets/fs999/en/.
A. L. Goldberger, Proc. Am. Thorac. Soc. 3, 467 (2006).
C. J. Stam and W. S. Pritchard, Int. J. Psychophysiol. 34, 5 (1999).
C. J. Stam, Clin. Neurophysiol. 116, 2266 (2005).
C. E. Elger, G. Widman, R. Andrzejak, M. Dumpelman, J. Arnhold, P. Grassberger and K. Lehnertz, in Advances in Neurology, edited by P. D. Williamson, A. M. Siegel, D. W. Roberts, V. M. Thadani and M. S. Gazzaniga (Lippincott Williams & Wilkins, Philadelphia, 2000).
W. S. Tirsch, P. Stude, H. Scherb and M. Keidel, Brain Res. Rev. 45, 79 (2004).
H. D. I. Abarbanel, R. Brown, J. J. Sidorowich and L. S. Tsimring, Rev. Mod. Phys. 65, 1331 (1993).
J. Theiler, J. Opt. Soc. Am. A 7, 1055 (1990).
P. Grassberger and I. Procaccia, Physica D 9, 189 (1983).
P. Grassberger and I. Procaccia, Phys. Rev. A 28, 2591 (1983).
B. B. Mandelbrot, The Fractal Geometry of Nature (WH Freeman, San Francisco, 1982).
G. W. Wornell, Signal Processing with Fractals: a Wavelet-based Approach (Prentice Hall, New Jersey, 1995).
G. W. Wornell, Proc. IEEE 81, 1428 (1993).
G. W. Wornell and A. V. Oppenheim, IEEE Trans. Signal Process. 40, 611 (1992).
B. B. Mandelbrot and H. W. van Ness, SIAM Rev. 10, 422 (1968).
P. A. Watters, Complexity International 5, (1998).
S. Havlin, S. V. Buldyrev, A. L. Goldberger, R. N. Mantegna, S. M. Ossadnik, C. K. Peng, M. Simons and H. Stanley, Chaos Sol. F. 6, 171 (1995).
C. J. Stam and E. A. de Bruin, Hum. Brain M. 22, 97 (2004).
K. Linkenkaer-Hansen, V. V. Nikouline, J. M. Palva and R. J. Ilmoniemi, J. Neurosc. 21, 1370 (2001).
J. B. Bassingthwaighte, L. S. Liebovitch and B. J. West, Fractal Physiology (Oxford University Press, New York, 1994).
A. L. Barabási and H. E. Stanley,, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995).
P. Bak, How Nature Works (Oxford University Press, Oxford, 1997).
R. G. Andrzejak, K. Lehnertz, F. Mormann, C. Rieke, P. David and C. E. Elger, Phys. Rev. E 64, 1 (2001).
S. Mallat, A Wavelet Tour of Signal Processing (Academic Press, San Diego, 1998).
I. Daubechies, Commun. Pure Appl. Math. XLI, 909 (1988).
S. G. Mallat, IEEE Trans. Pattern Anal. Mach. Intell. 11, 674 (1989).
A. Cohen and J. Kovacevic, Proc. IEEE 84, 514 (1996).
F. Takens, in Dynamical Systems and Turbulence, edited by D. A. Rand and L.-S. Young (Springer-Verlag, Berlin, 1981).
A. M. Albano, J. Muench, C. Schwartz, A. I. Mees and P. E. Rapp, Phys. Rev. A 38, 3017 (1988).
H. S. A. M. Fraser, Phys. Rev. A 33, 1134 (1986).
M. T. Rosenstein, J. J. Collins and C. J. de Lucca, Physica D 73, 82 (1994).
M. B. Kennel, R. Brown and H. D. I. Abarbanel, Phys. Rev. A 45, 3403 (1992).
W. S. Pritchard and D. W. Duke, Brain Cogn. 27, 353 (1995).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Janjarasjitt, S., Loparo, K.A. Comparison of complexity measures using two complex system analysis methods applied to the epileptic ECoG. Journal of the Korean Physical Society 63, 1659–1665 (2013). https://doi.org/10.3938/jkps.63.1659
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3938/jkps.63.1659