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

TL;DR

This study explores a dynamical analogy between epileptic seizures and earthquakes at the level of individual events using nonextensive statistical mechanics, revealing scale-free statistical similarities across these phenomena.

Contribution

It introduces a novel focus on single-event analysis and applies nonextensive statistical physics to establish a dynamical analogy between seizures and earthquakes.

Findings

Confirmed scale-free statistics in seizures and earthquakes

Established dynamical analogy supported by nonextensive physics

Linked seizure and earthquake dynamics to magnetic storms and solar flares

Abstract

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, analysing 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.