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Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram

BACKGROUND: In a previous work (Dafilis et al. in Chaos 23(2):023111, 2013), evidence was presented for four-dimensional chaos in Liley’s mesoscopic model of the electroencephalogram. The study was limited to one parameter set of the model equations. FINDINGS: In this report we expand that result by...

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Detalles Bibliográficos
Autores principales: Dafilis, Mathew P., Frascoli, Federico, Cadusch, Peter J., Liley, David T. J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4532695/
https://www.ncbi.nlm.nih.gov/pubmed/26265216
http://dx.doi.org/10.1186/s13408-015-0028-3
Descripción
Sumario:BACKGROUND: In a previous work (Dafilis et al. in Chaos 23(2):023111, 2013), evidence was presented for four-dimensional chaos in Liley’s mesoscopic model of the electroencephalogram. The study was limited to one parameter set of the model equations. FINDINGS: In this report we expand that result by presenting evidence for the extension of four-dimensional chaotic behavior to a large area of the biologically admissible parameter space. A two-parameter bifurcation analysis highlights the complexity of the dynamical landscape involved in the creation of such chaos. CONCLUSIONS: The extensive presence of high-order chaos in a well-established physiological model of electrorhythmogenesis further emphasizes the applicability and relevance of mean field mesoscopic models in the description of brain activity at theoretical, experimental, and clinical levels.