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The field of study of complex systems holds that the dynamics of complexsystems are founded on universal principles that may used to describe a greatvariety of scientific and technological approaches of different types ofnatural, artificial, and social systems. Authors have suggested that earthquakedynamics and neurodynamics can be analyzed within similar mathematicalframeworks, a claim further supported by recent evidence. The purpose of thispaper is to suggest a shift in emphasis from the large to the small in thesearch for a dynamical analogy between seizure and earthquake. Our analysesfocus on a single epileptic seizure generation and the activation of a singlefault (earthquake) and not on the statistics of sequences of different seizuresand earthquakes. A central property of the epileptic seizure / earthquakegeneration is the occurrence of coherent large-scale collective behaviour withvery rich structure, resulting from repeated nonlinear interactions among theconstituents of the system, respectively firing neurons and opening cracks.Consequently, in this paper, we apply the Tsallis nonextensive statisticalmechanics as it proves an appropriate framework in order to investigateuniversal principles of their generation. For completeness reasons we also useentropic measures as well as tools from information theory. The obtainedresults seems to support the claim that epileptic seizures can be considered as"quakes on the brain".

Are Epileptic Seizures Quakes of the Brain? An Approach by Means of Nonextensive Tsallis Statistics