A theory for spiral wave drift in reaction-diffusion-mechanics systems
Reaction-diffusion mechanics (RDM) systems describe a wide range of practically important phenomena where deformation substantially affects wave and vortex dynamics. Here, we develop the first theory to describe the dynamics of rotating spiral waves in RDM systems, combining response function theory...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2015-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/17/4/043055 |
| _version_ | 1827874048727580672 |
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| author | Hans Dierckx Sander Arens Bing-Wei Li Louis D Weise Alexander V Panfilov |
| author_facet | Hans Dierckx Sander Arens Bing-Wei Li Louis D Weise Alexander V Panfilov |
| author_sort | Hans Dierckx |
| collection | DOAJ |
| description | Reaction-diffusion mechanics (RDM) systems describe a wide range of practically important phenomena where deformation substantially affects wave and vortex dynamics. Here, we develop the first theory to describe the dynamics of rotating spiral waves in RDM systems, combining response function theory with a mechanical Green’s function. This theory explains the mechanically-induced drift of spiral waves as a resonance phenomenon, and it can predict the drift trajectories and the final attractors from measurable characteristics of the system. Theoretical predictions are confirmed by numerical simulations. The results can be applied to cardiac tissue, where the drift of spiral waves is an important factor in determining different types of cardiac arrhythmias. |
| first_indexed | 2024-03-12T16:45:44Z |
| format | Article |
| id | doaj.art-94fbbaf2fcc34615afaa625bbb1e2b12 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:45:44Z |
| publishDate | 2015-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-94fbbaf2fcc34615afaa625bbb1e2b122023-08-08T14:15:48ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117404305510.1088/1367-2630/17/4/043055A theory for spiral wave drift in reaction-diffusion-mechanics systemsHans Dierckx0Sander Arens1Bing-Wei Li2Louis D Weise3Alexander V Panfilov4Department of Physics and Astronomy, Ghent University , 9000 Ghent, BelgiumDepartment of Physics and Astronomy, Ghent University , 9000 Ghent, BelgiumDepartment of Physics, Hangzhou Normal University , Hangzhou 310036, People's Republic of ChinaDepartment of Physics and Astronomy, Ghent University , 9000 Ghent, BelgiumDepartment of Physics and Astronomy, Ghent University , 9000 Ghent, Belgium; Moscow Institute of Physics and Technology, (State University) , Dolgoprudny, Moscow Region, RussiaReaction-diffusion mechanics (RDM) systems describe a wide range of practically important phenomena where deformation substantially affects wave and vortex dynamics. Here, we develop the first theory to describe the dynamics of rotating spiral waves in RDM systems, combining response function theory with a mechanical Green’s function. This theory explains the mechanically-induced drift of spiral waves as a resonance phenomenon, and it can predict the drift trajectories and the final attractors from measurable characteristics of the system. Theoretical predictions are confirmed by numerical simulations. The results can be applied to cardiac tissue, where the drift of spiral waves is an important factor in determining different types of cardiac arrhythmias.https://doi.org/10.1088/1367-2630/17/4/043055electromechanical couplingcardiac modelingspiral wavesmechano-electrical feedbackstretch-activated currentsspiral wave drift |
| spellingShingle | Hans Dierckx Sander Arens Bing-Wei Li Louis D Weise Alexander V Panfilov A theory for spiral wave drift in reaction-diffusion-mechanics systems New Journal of Physics electromechanical coupling cardiac modeling spiral waves mechano-electrical feedback stretch-activated currents spiral wave drift |
| title | A theory for spiral wave drift in reaction-diffusion-mechanics systems |
| title_full | A theory for spiral wave drift in reaction-diffusion-mechanics systems |
| title_fullStr | A theory for spiral wave drift in reaction-diffusion-mechanics systems |
| title_full_unstemmed | A theory for spiral wave drift in reaction-diffusion-mechanics systems |
| title_short | A theory for spiral wave drift in reaction-diffusion-mechanics systems |
| title_sort | theory for spiral wave drift in reaction diffusion mechanics systems |
| topic | electromechanical coupling cardiac modeling spiral waves mechano-electrical feedback stretch-activated currents spiral wave drift |
| url | https://doi.org/10.1088/1367-2630/17/4/043055 |
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