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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...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2015
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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 |
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author | Dafilis, Mathew P. Frascoli, Federico Cadusch, Peter J. Liley, David T. J. |
author_facet | Dafilis, Mathew P. Frascoli, Federico Cadusch, Peter J. Liley, David T. J. |
author_sort | Dafilis, Mathew P. |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-4532695 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-45326952015-08-20 Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram Dafilis, Mathew P. Frascoli, Federico Cadusch, Peter J. Liley, David T. J. J Math Neurosci Short Report 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. Springer Berlin Heidelberg 2015-08-12 /pmc/articles/PMC4532695/ /pubmed/26265216 http://dx.doi.org/10.1186/s13408-015-0028-3 Text en © Dafilis et al. 2015 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
spellingShingle | Short Report Dafilis, Mathew P. Frascoli, Federico Cadusch, Peter J. Liley, David T. J. Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram |
title | Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram |
title_full | Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram |
title_fullStr | Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram |
title_full_unstemmed | Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram |
title_short | Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram |
title_sort | extensive four-dimensional chaos in a mesoscopic model of the electroencephalogram |
topic | Short Report |
url | 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 |
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