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  Dynamics of spiral waves rotating around an obstacle and the existence of a minimal obstacle

Gao, X., Feng, X., Li, T. C., Qu, S., Wang, X., & Zhang, H. (2017). Dynamics of spiral waves rotating around an obstacle and the existence of a minimal obstacle. Physical Review E, 95(5): 052218. doi:10.1103/PhysRevE.95.052218.

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 Creators:
Gao, Xiang1, Author           
Feng, X., Author
Li, T. C., Author
Qu, S., Author
Wang, X., Author
Zhang, H., Author
Affiliations:
1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

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 Abstract: Pinning of vortices by obstacles plays an important role in various systems. In the heart, anatomical reentry is created when a vortex, also known as the spiral wave, is pinned to an anatomical obstacle, leading to a class of physiologically very important arrhythmias. Previous analyses of its dynamics and instability provide fine estimates in some special circumstances, such as large obstacles or weak excitabilities. Here, to expand theoretical analyses to all circumstances, we propose a general theory whose results quantitatively agree with direct numerical simulations. In particular, when obstacles are small and pinned spiral waves are destabilized, an accurate explanation of the instability in two-dimensional media is provided by the usage of a mapping rule and dimension reduction. The implications of our results are to better understand the mechanism of arrhythmia and thus improve its early prevention.

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Language(s): eng - English
 Dates: 2017-05-302017-05
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevE.95.052218
 Degree: -

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Title: Physical Review E
Source Genre: Journal
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Pages: 7 Volume / Issue: 95 (5) Sequence Number: 052218 Start / End Page: - Identifier: -