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

R. M. Yulmetyev; E. V. Khusaenova; D. G. Yulmetyeva; P. Hänggi; S. Shimojo; K. Watanabe; J. Bhattacharya; R. M. Yulmetyev; E. V. Khusaenova; D. G. Yulmetyeva; P. Hänggi; S. Shimojo; K. Watanabe; J. Bhattacharya

doi:10.3934/mbe.2009.6.189

Mathematical Biosciences and Engineering

2009, Volume 6, Issue 1: 189-206. doi: 10.3934/mbe.2009.6.189

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

1.
Department of Physics, Kazan State University, Kremlevskaya Street, 18 Kazan, 420008
2.
Department of Physics, University of Augsburg, Universitätsstrasse 1, D-86135 Augsburg
3.
Division of Biology, CalTech, Pasadena, CA 91125
4.
Research Group for Decision Making, Research Center for Advanced Science and Technology, University of Tokyo, Tokyo, 153-8904
5.
Department of Psychology, Goldsmits College, University of London, New Cross, London, SE14 6NW

Received: 01 July 2007 Accepted: 29 June 2018 Published: 01 December 2008
MSC : Primary: 94A17, 92C55; Secondary: 92C50, 60K40

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.
- human brain,
- information quantifiers,
- statistical memory,
- photosensitive epilepsy,
- stochastic processes
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 memoryof MEG's signals at photosensitive epilepsy[J]. Mathematical Biosciences and Engineering, 2009, 6(1): 189-206. doi: 10.3934/mbe.2009.6.189

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Abstract

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.
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