American Institute of Mathematical Sciences

Advanced
2009, 6(1): 189-206. doi: 10.3934/mbe.2009.6.189

Dynamic effects and information quantifiers of statistical memory of MEG's signals at photosensitive epilepsy

R. M. Yulmetyev 1, , E. V. Khusaenova 1, , D. G. Yulmetyeva 1, , P. Hänggi 2, , S. Shimojo 3, , K. Watanabe 4, and  J. Bhattacharya 5,

1. 

Department of Physics, Kazan State University, Kremlevskaya Street, 18 Kazan, 420008, Russian Federation, Russian Federation, Russian Federation
2. 

Department of Physics, University of Augsburg, Universitätsstrasse 1, D-86135 Augsburg, Germany
3. 

Division of Biology, CalTech, Pasadena, CA 91125, United States
4. 

Research Group for Decision Making, Research Center for Advanced Science and Technology, University of Tokyo, Tokyo, 153-8904, Japan
5. 

Department of Psychology, Goldsmits College, University of London, New Cross, London, SE14 6NW, United Kingdom

Received  July 2007 Revised  August 2008 Published  December 2008

The time series analysis of magnetoencephalographic (MEG) signals is very important both for basic brain research and for medical diagnosis and treatment. Here we discuss the crucial role of statistical memory effects (ME) in human brain functioning with photosensitive epilepsy (PSE). We study two independent statistical memory quantifiers that reflect the dynamical characteristics of neuromagnetic brain responses on a flickering stimulus of different colored combinations from a group of control subjects, which are contrasted with those from a patient with PSE. We analyze the frequency dependence of two memory measures for the neuromagnetic signals. The strong memory and the accompanying transition to a regular and robust regime of the signals' chaotic behavior in the separate areas are characteristic for a patient with PSE. This particularly interesting observation most likely identifies the regions of the protective mechanism in a human organism against occurrence of PSE.
Keywords: human brain, information quantifiers, statistical memory, photosensitive epilepsy, stochastic processes.
Mathematics Subject Classification: Primary: 94A17, 92C55; Secondary: 92C50, 60K40.
Citation: R. M. Yulmetyev, E. V. Khusaenova, D. G. Yulmetyeva, P. Hänggi, S. Shimojo, K. Watanabe, J. Bhattacharya. Dynamic effects and information quantifiers of statistical memory of MEG's signals at photosensitive epilepsy. Mathematical Biosciences & Engineering, 2009, 6 (1) : 189-206. doi: 10.3934/mbe.2009.6.189
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