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Threaded rings that swim in excitable media.

Cincotti, Antonio and Maucher, Fabian and Evans, David and Chapin, Brette M. and Horner, Kate and Bromley, Elizabeth and Lobb, Andrew and Steed, Jonathan W. and Sutcliffe, Paul (2019) 'Threaded rings that swim in excitable media.', Physical review letters., 123 (25).


Cardiac tissue and the Belousov-Zhabotinsky reaction provide two notable examples of excitable media that support scroll waves, in which a filament core is the source of spiral waves of excitation. Here we consider a novel topological configuration in which a closed filament loop, known as a scroll ring, is threaded by a pair of counterrotating filaments that are perpendicular to the plane of the ring and end on the boundary of a thin medium. We simulate the dynamics of this threaded ring (thring) in the photosensitive Belousov-Zhabotinsky excitable medium, using the modified Oregonator reaction-diffusion equations. These computations reveal that the threading topology induces an exotic motion in which the thring swims in the plane of the ring. We propose a light templating protocol to create a thring in the photosensitive Belousov-Zhabotinsky medium and provide experimental confirmation that this protocol indeed yields a thring

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Publisher statement:Reprinted with permission from the American Physical Society: Cincotti, Antonio, Maucher, Fabian, Evans, David, Chapin, Brette M., Horner, Kate, Bromley, Elizabeth, Lobb, Andrew, Steed, Jonathan W. & Sutcliffe, Paul (2019). Threaded Rings that Swim in Excitable Media. Physical Review Letters 123(25): 258102. © by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:No date available
Date deposited:09 January 2020
Date of first online publication:20 December 2019
Date first made open access:09 January 2020

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