Dynamics of spatiotemporal line defects and chaos control in complex excitable systems

Abstract Spatiotemporal pattern formation governs dynamics and functions in various biological systems. In the heart, excitable waves can form complex oscillatory and chaotic patterns even at an abnormally higher frequency than normal heart beats, which increase the risk of fatal heart conditions by...

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Autores principales: Marcel Hörning, François Blanchard, Akihiro Isomura, Kenichi Yoshikawa
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Lenguaje:EN
Publicado: Nature Portfolio 2017
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Acceso en línea:https://doaj.org/article/368e71808d7046ba94a6a31e57f8f9a3
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spelling oai:doaj.org-article:368e71808d7046ba94a6a31e57f8f9a32021-12-02T11:52:39ZDynamics of spatiotemporal line defects and chaos control in complex excitable systems10.1038/s41598-017-08011-z2045-2322https://doaj.org/article/368e71808d7046ba94a6a31e57f8f9a32017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-08011-zhttps://doaj.org/toc/2045-2322Abstract Spatiotemporal pattern formation governs dynamics and functions in various biological systems. In the heart, excitable waves can form complex oscillatory and chaotic patterns even at an abnormally higher frequency than normal heart beats, which increase the risk of fatal heart conditions by inhibiting normal blood circulation. Previous studies suggested that line defects (nodal lines) play a critical role in stabilizing those undesirable patterns. However, it remains unknown if the line defects are static or dynamically changing structures in heart tissue. Through in vitro experiments of heart tissue observation, we reveal the spatiotemporal dynamics of line defects in rotating spiral waves. We combined a novel signaling over-sampling technique with a multi-dimensional Fourier analysis, showing that line defects can translate, merge, collapse and form stable singularities with even and odd parity while maintaining a stable oscillation of the spiral wave in the tissue. These findings provide insights into a broad class of complex periodic systems, with particular impact to the control and understanding of heart diseases.Marcel HörningFrançois BlanchardAkihiro IsomuraKenichi YoshikawaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-10 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Marcel Hörning
François Blanchard
Akihiro Isomura
Kenichi Yoshikawa
Dynamics of spatiotemporal line defects and chaos control in complex excitable systems
description Abstract Spatiotemporal pattern formation governs dynamics and functions in various biological systems. In the heart, excitable waves can form complex oscillatory and chaotic patterns even at an abnormally higher frequency than normal heart beats, which increase the risk of fatal heart conditions by inhibiting normal blood circulation. Previous studies suggested that line defects (nodal lines) play a critical role in stabilizing those undesirable patterns. However, it remains unknown if the line defects are static or dynamically changing structures in heart tissue. Through in vitro experiments of heart tissue observation, we reveal the spatiotemporal dynamics of line defects in rotating spiral waves. We combined a novel signaling over-sampling technique with a multi-dimensional Fourier analysis, showing that line defects can translate, merge, collapse and form stable singularities with even and odd parity while maintaining a stable oscillation of the spiral wave in the tissue. These findings provide insights into a broad class of complex periodic systems, with particular impact to the control and understanding of heart diseases.
format article
author Marcel Hörning
François Blanchard
Akihiro Isomura
Kenichi Yoshikawa
author_facet Marcel Hörning
François Blanchard
Akihiro Isomura
Kenichi Yoshikawa
author_sort Marcel Hörning
title Dynamics of spatiotemporal line defects and chaos control in complex excitable systems
title_short Dynamics of spatiotemporal line defects and chaos control in complex excitable systems
title_full Dynamics of spatiotemporal line defects and chaos control in complex excitable systems
title_fullStr Dynamics of spatiotemporal line defects and chaos control in complex excitable systems
title_full_unstemmed Dynamics of spatiotemporal line defects and chaos control in complex excitable systems
title_sort dynamics of spatiotemporal line defects and chaos control in complex excitable systems
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/368e71808d7046ba94a6a31e57f8f9a3
work_keys_str_mv AT marcelhorning dynamicsofspatiotemporallinedefectsandchaoscontrolincomplexexcitablesystems
AT francoisblanchard dynamicsofspatiotemporallinedefectsandchaoscontrolincomplexexcitablesystems
AT akihiroisomura dynamicsofspatiotemporallinedefectsandchaoscontrolincomplexexcitablesystems
AT kenichiyoshikawa dynamicsofspatiotemporallinedefectsandchaoscontrolincomplexexcitablesystems
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