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Dynamical analogy between epileptic seizures and seismogenic electromagnetic emissions by means of nonextensive statistical mechanics

  • Eftaxias, Konstantinos
  • Minadakis, George
  • Potirakis, Stelios. M.
  • Balasis, Georgios
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    The field of study of complex systems considers that the dynamics of complex systems are founded on universal principles that may be used to describe a great variety of scientific and technological approaches of different types of natural, artificial, and social systems. Several authors have suggested that earthquake dynamics and neurodynamics can be analyzed within similar mathematical frameworks. Recently, authors have shown that a dynamical analogy supported by scale-free statistics exists between seizures and earthquakes, analyzing populations of different seizures and earthquakes, respectively. The purpose of this paper is to suggest a shift in emphasis from the large to the small scale: our analyses focus on a single epileptic seizure generation and the activation of a single fault (earthquake) and not on the statistics of sequences of different seizures and earthquakes. We apply the concepts of the nonextensive statistical physics to support the suggestion that a dynamical analogy exists between the two different extreme events, seizures and earthquakes. We also investigate the existence of such an analogy by means of scale-free statistics (the Gutenberg–Richter distribution of event sizes and the distribution of the waiting time until the next event). The performed analysis confirms the existence of a dynamic analogy between earthquakes and seizures, which moreover follow the dynamics of magnetic storms and solar flares.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437112008497
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    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 392 (2013)
    Issue (Month): 3 ()
    Pages: 497-509

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    Handle: RePEc:eee:phsmap:v:392:y:2013:i:3:p:497-509
    Contact details of provider: Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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    1. Stanley, H.Eugene, 2000. "Exotic statistical physics: Applications to biology, medicine, and economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(1), pages 1-17.
    2. Telesca, Luciano & Lovallo, Michele, 2006. "Are global terrorist attacks time-correlated?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 480-484.
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    4. Telesca, Luciano, 2007. "Identifying time-clustering structures in the sequence of solar flare hard X-ray bursts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 516-521.
    5. Vilar, C.S. & França, G.S. & Silva, R. & Alcaniz, J.S., 2007. "Nonextensivity in geological faults?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 285-290.
    6. Telesca, Luciano, 2010. "Nonextensive analysis of seismic sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1911-1914.
    7. Telesca, Luciano & Bernardi, Marina & Rovelli, Cinzia, 2005. "Intra-cluster and inter-cluster time correlations in lightning sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 655-661.
    8. Eftaxias, K., 2010. "Footprints of nonextensive Tsallis statistics, selfaffinity and universality in the preparation of the L’Aquila earthquake hidden in a pre-seismic EM emission," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(1), pages 133-140.
    9. Telesca, Luciano & Lovallo, Michele, 2007. "Non-random components in aircraft accidents time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 407-410.
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