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All together now: Analogies between chimera state collapses and epileptic seizures
Conceptually and structurally simple mathematical models of coupled oscillator networks can show a rich variety of complex dynamics, providing fundamental insights into many real-world phenomena. A recent and not yet fully understood example is the collapse of coexisting synchronous and asynchronous...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4783711/ https://www.ncbi.nlm.nih.gov/pubmed/26957324 http://dx.doi.org/10.1038/srep23000 |
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author | Andrzejak, Ralph G. Rummel, Christian Mormann, Florian Schindler, Kaspar |
author_facet | Andrzejak, Ralph G. Rummel, Christian Mormann, Florian Schindler, Kaspar |
author_sort | Andrzejak, Ralph G. |
collection | PubMed |
description | Conceptually and structurally simple mathematical models of coupled oscillator networks can show a rich variety of complex dynamics, providing fundamental insights into many real-world phenomena. A recent and not yet fully understood example is the collapse of coexisting synchronous and asynchronous oscillations into a globally synchronous motion found in networks of identical oscillators. Here we show that this sudden collapse is promoted by a further decrease of synchronization, rather than by critically high synchronization. This strikingly counterintuitive mechanism can be found also in nature, as we demonstrate on epileptic seizures in humans. Analyzing spatiotemporal correlation profiles derived from intracranial electroencephalographic recordings (EEG) of seizures in epilepsy patients, we found a pronounced decrease of correlation at the seizure onsets. Applying our findings in a closed-loop control scheme to models of coupled oscillators in chimera states, we succeed in both provoking and preventing outbreaks of global synchronization. Our findings not only advance the understanding of networks of coupled dynamics but can open new ways to control them, thus offering a vast range of potential new applications. |
format | Online Article Text |
id | pubmed-4783711 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-47837112016-03-11 All together now: Analogies between chimera state collapses and epileptic seizures Andrzejak, Ralph G. Rummel, Christian Mormann, Florian Schindler, Kaspar Sci Rep Article Conceptually and structurally simple mathematical models of coupled oscillator networks can show a rich variety of complex dynamics, providing fundamental insights into many real-world phenomena. A recent and not yet fully understood example is the collapse of coexisting synchronous and asynchronous oscillations into a globally synchronous motion found in networks of identical oscillators. Here we show that this sudden collapse is promoted by a further decrease of synchronization, rather than by critically high synchronization. This strikingly counterintuitive mechanism can be found also in nature, as we demonstrate on epileptic seizures in humans. Analyzing spatiotemporal correlation profiles derived from intracranial electroencephalographic recordings (EEG) of seizures in epilepsy patients, we found a pronounced decrease of correlation at the seizure onsets. Applying our findings in a closed-loop control scheme to models of coupled oscillators in chimera states, we succeed in both provoking and preventing outbreaks of global synchronization. Our findings not only advance the understanding of networks of coupled dynamics but can open new ways to control them, thus offering a vast range of potential new applications. Nature Publishing Group 2016-03-09 /pmc/articles/PMC4783711/ /pubmed/26957324 http://dx.doi.org/10.1038/srep23000 Text en Copyright © 2016, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Andrzejak, Ralph G. Rummel, Christian Mormann, Florian Schindler, Kaspar All together now: Analogies between chimera state collapses and epileptic seizures |
title | All together now: Analogies between chimera state collapses and epileptic seizures |
title_full | All together now: Analogies between chimera state collapses and epileptic seizures |
title_fullStr | All together now: Analogies between chimera state collapses and epileptic seizures |
title_full_unstemmed | All together now: Analogies between chimera state collapses and epileptic seizures |
title_short | All together now: Analogies between chimera state collapses and epileptic seizures |
title_sort | all together now: analogies between chimera state collapses and epileptic seizures |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4783711/ https://www.ncbi.nlm.nih.gov/pubmed/26957324 http://dx.doi.org/10.1038/srep23000 |
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