  The field of study of complex systems holds that the dynamics of complex
systems are founded on universal principles that may used to describe a great
variety of scientific and technological approaches of different types of
natural, artificial, and social systems. Authors have suggested that earthquake
dynamics and neurodynamics can be analyzed within similar mathematical
frameworks, a claim further supported by recent evidence. The purpose of this
paper is to suggest a shift in emphasis from the large to the small in the
search for a dynamical analogy between seizure and earthquake. 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. A central property of the epileptic seizure / earthquake
generation is the occurrence of coherent large-scale collective behaviour with
very rich structure, resulting from repeated nonlinear interactions among the
constituents of the system, respectively firing neurons and opening cracks.
Consequently, in this paper, we apply the Tsallis nonextensive statistical
mechanics as it proves an appropriate framework in order to investigate
universal principles of their generation. For completeness reasons we also use
entropic measures as well as tools from information theory. The obtained
results seems to support the claim that epileptic seizures can be considered as
"quakes on the brain".
