Self-organized activation patterns in excitable media such as spiral waves and spatio-temporal chaos underlie dangerous cardiac arrhythmias. While the interaction of single spiral waves with different types of heterogeneity has been studied extensively, the effect of heterogeneity on fully developed spatio-temporal chaos remains poorly understood. We investigate how the complexity and stability properties of spatio-temporal chaos in the Bär–Eiswirth model of excitable media depend on the heterogeneity of the underlying medium. We employ different measures characterizing the chaoticity of the system and find that the spatial arrangement of multiple discrete lower excitability regions has a strong impact on the complexity of the dynamics. Varying the number, shape, and spatial arrangement of the heterogeneities, we observe strong emergent effects ranging from increases in chaoticity to the complete cessation of chaos, contrasting the expectation from the homogeneous behavior. The implications of our findings for the development and treatment of arrhythmias in the heterogeneous cardiac muscle are discussed.
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September 2017
Research Article|
September 13 2017
Emergent dynamics of spatio-temporal chaos in a heterogeneous excitable medium Available to Purchase
Philip Bittihn;
Philip Bittihn
1
Max Planck Institute for Dynamics and Self-Organization
, Göttingen, Germany
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Sebastian Berg;
Sebastian Berg
b)
1
Max Planck Institute for Dynamics and Self-Organization
, Göttingen, Germany
2
Institute for Nonlinear Dynamics, Georg-August-Universität Göttingen
, Göttingen, Germany
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Ulrich Parlitz;
Ulrich Parlitz
1
Max Planck Institute for Dynamics and Self-Organization
, Göttingen, Germany
2
Institute for Nonlinear Dynamics, Georg-August-Universität Göttingen
, Göttingen, Germany
3
German Center for Cardiovascular Research (DZHK)
, Partner Site Göttingen, Göttingen, Germany
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Stefan Luther
Stefan Luther
1
Max Planck Institute for Dynamics and Self-Organization
, Göttingen, Germany
2
Institute for Nonlinear Dynamics, Georg-August-Universität Göttingen
, Göttingen, Germany
3
German Center for Cardiovascular Research (DZHK)
, Partner Site Göttingen, Göttingen, Germany
4
Institute of Pharmacology and Toxicology, University Medical Center
, Göttingen, Germany
5
Department of Physics and Department of Bioengineering, Northeastern University
, Boston, MA 02115, USA
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Philip Bittihn
1
Sebastian Berg
1,2,b)
Ulrich Parlitz
1,2,3
Stefan Luther
1,2,3,4,5
1
Max Planck Institute for Dynamics and Self-Organization
, Göttingen, Germany
2
Institute for Nonlinear Dynamics, Georg-August-Universität Göttingen
, Göttingen, Germany
3
German Center for Cardiovascular Research (DZHK)
, Partner Site Göttingen, Göttingen, Germany
4
Institute of Pharmacology and Toxicology, University Medical Center
, Göttingen, Germany
5
Department of Physics and Department of Bioengineering, Northeastern University
, Boston, MA 02115, USA
Chaos 27, 093931 (2017)
Article history
Received:
March 31 2017
Accepted:
July 11 2017
Citation
Philip Bittihn, Sebastian Berg, Ulrich Parlitz, Stefan Luther; Emergent dynamics of spatio-temporal chaos in a heterogeneous excitable medium. Chaos 1 September 2017; 27 (9): 093931. https://doi.org/10.1063/1.4999604
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