Interaction of a pair of parallel scroll waves

Journal of Physical Chemistry A

Volumn 117, Issue 48, 2013, Pages 12711-12718

  Kupitz, Dennis ^a   Hauser, Marcus J B ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BELOUSOV-ZHABOTINSKY REACTIONS; COUNTER ROTATING; EXCITABLE MEDIA; FILAMENT DYNAMICS; ROTATION FREQUENCIES; ROTATION PERIOD; SCROLL WAVES;

PHYSICAL CHEMISTRY; PHYSICS;

OPTICAL TOMOGRAPHY;

ARTICLE; QUANTUM THEORY;

QUANTUM THEORY;

EID: 84890107874     PISSN: 10895639     EISSN: 15205215     Source Type: Journal    
DOI: 10.1021/jp409269u     Document Type: Article

References (46)

1. Winfree, A. T. Electrical Turbulence in Three-Dimensional Heart Muscle Science 1994, 266, 1003-1006
2. Gray, R. A.; Jalife, J.; Panfilov, A. V.; Baxter, W. T.; Cabo, C.; Davidenko, J. M.; Pertsov, A. M. Mechanisms of Cardiac Fibrillation Science 1995, 270, 1222-1223
3. Gray, R. A.; Pertsov, A. M.; Jalife, J. Spatial and Temporal Organization During Cardiac Fibrillation Nature 1998, 392, 75-78
4. Fenton, F. H.; Karma, A. Vortex Dynamics in 3D Continuous Myocardium With Fiber Rotation: Filament Instability and Fibrillation Chaos 1998, 8, 20-47
5. Fenton, F. H.; Cherry, E. M.; Hastings, H. M.; Evans, S. J. Multiple Mechanisms of Spiral Wave Breakup in a Model of Cardiac Electrical Activity Chaos 2002, 12, 852-892
6. Clayton, R. H.; Zhuchkova, E. A.; Panfilov, A. V. Phase Singularities and Filaments: Simplifying Complexity in Computational Models of Ventricular Fibrillation Prog. Biophys. Mol. Biol. 2006, 90, 378-398
7. Cherry, E. M.; Fenton, F. H. Visualization of Spiral and Scroll Waves in Simulated and Experimental Cardiac Tissue New J. Phys. 2008, 10, 125016
8. Winfree, A. T.; Caudle, S.; Chen, G.; McGuire, P.; Szilagyi, Z. Quantitative Optical Tomography of Chemical Waves and their Organizing Centers Chaos 1996, 6, 617-626
9. Storb, U.; Neto, C. R.; Bär, M.; Müller, S. C. Desynchronization and Complex Dynamics due to Scroll Wave Attachment in an Excitable Chemical Reaction with Gradient Phys. Chem. Chem. Phys. 2003, 5, 2344-2351
10. Luengviriya, C.; Storb, U.; Lindner, G.; Müller, S. C.; Bär, M.; Hauser, M. J. B. Instabilities of Scroll Waves in a Chemical Excitable Medium Phys. Rev. Lett. 2008, 100, 148302
11. Bánsági, T., Jr.; Steinbock, O. Three-Dimensional Spiral Waves in an Excitable Reaction System: Initiation and Dynamics of Scroll Rings and Scroll Ring Pairs Chaos 2008, 18, 026102
12. Bánsági, T., Jr.; Meyer, K. J.; Steinbock, O. Wave-Pinned Filaments of Scroll Rings J. Chem. Phys. 2008, 128, 094503
13. Kupitz, D.; Alonso, S.; Bär, M.; Hauser, M. J. B. Surfactant-Induced Gradients in the Three-Dimensional Belousov-Zhabotinsky Reaction Phys. Rev. E 2011, 84, 056210
14. Kupitz, D.; Hauser, M. J. B. Helical Deformation of the Filament of a Scroll Wave Phys. Rev. E 2012, 86, 066208
15. Bittihn, P.; Luther, G.; Bodenschatz, E.; Krinsky, V. I.; Parlitz, U.; Luther, S. Far Field Pacing Supersedes Anti-Tachycardia Pacing in a Generic Model of Excitable Media New J. Phys. 2008, 10, 103012
16. Morgan, S. W.; Biktasheva, I. V.; Biktashev, V. N. Control of Scroll-Wave Turbulence Using Resonant Perturbations Phys. Rev. E 2008, 78, 046207
17. Bittihn, P.; Squires, A.; Luther, G.; Bodenschatz, E.; Krinsky, V. I.; Parlitz, U.; Luther, S. Phase-Resolved Analysis of the Susceptibility of Pinned Spiral Waves to Far-Field Pacing in a Two-Dimensional Model of Excitable Media Philos. Trans. R. Soc., A 2010, 368, 2221-2236
18. Luther, S.; Fenton, F. H.; Kornreich, B. G.; Squires, A.; Bittihn, B.; Hornung, D.; Zabel, M.; Flanders, J.; Gladuli, A.; Campoy, L. Low-Energy Control of Electrical Turbulence in the Heart Nature 2011, 475, 235-241
19. Krinsky, V. I.; Agladze, K. I. Interaction of Rotating Waves in an Active Chemical Medium Physica D 1983, 8, 50-56
20. Ruiz-Villarreal, M.; Goméz-Gesteira, M.; Souto, C.; Muñuzuri, A. P.; Pérez-Villar, V. Long-Term Vortex Interaction in Active Media Phys. Rev. E 1996, 54, 2999-3002
21. Hartmann, N.; Bär, M.; Kevrekidis, I. G.; Krischer, K.; Imbihl, R. Rotating Chemical Waves in Small Circular Domains Phys. Rev. Lett. 1996, 76, 1384-1387
22. Aliev, R. R.; Davydov, V. A.; Kusumi, T.; Yamaguchi, T. Long Range Interaction of Vortices in a Chemical Active Medium Netsu Sokutei 1997, 24, 194-198
23. Vinson, M. Interactions of Spiral Waves in Inhomogeneous Excitable Media Physica D 1998, 116, 313-324
24. Brandtstädter, H.; Braune, M.; Schebesch, I.; Engel, H. Experimental Study of the Dynamics of Spiral Pairs in Light-Sensitive Belousov-Zhabotinskii Media Using an Open-Gel Reactor Chem. Phys. Lett. 2000, 323, 145-154
25. Ermakova, E. A.; Pertsov, A. M.; Shnol, E. E. On the Interaction of Vortices in Two-Dimensional Active Media Physica D 1989, 40, 185-195
26. Dutta, S.; Steinbock, O. Spiral Defect Drift in the Wave Fields of Multiple Excitation Patterns Phys. Rev. E 2011, 83, 056213
27. Panfilov, A. V.; Vasiev, B. N. Vortex Initiation in a Heterogeneous Excitable Medium Physica D 1991, 49, 107-113
28. Schebesch, I.; Engel, H. Interacting Spiral Waves in the Oregonator Model of the Light-Sensitive Belousov-Zhabotinskii Reaction Phys. Rev. E 1999, 60, 6429-6434
29. Keener, J. P. The Dynamics of Three-Dimensional Scroll Waves in Excitable Media Physica D 1988, 31, 269-276
30. Keener, J. P.; Tyson, J. J. The Dynamics of Scroll Waves in Excitable Media SIAM Rev. 1992, 34, 1-39
31. Winfree, A. T.; Strogatz, S. H. Singular Filaments Organize Chemical Waves in Three Dimensions. II: Twisted Waves Physica D 1983, 9, 65-80
32. Winfree, A. T.; Strogatz, S. H. Singular Filaments Organize Chemical Waves in Three Dimensions. III: Knotted Waves Physica D 1983, 9, 333-345
33. Winfree, A. T.; Strogatz, S. H. Singular Filaments Organize Chemical Waves in Three Dimensions. IV. Wave Taxonomy Physica D 1984, 13, 221-233
34. Keener, J. P. Knotted Scroll Wave Filaments in Excitable Media Physica D 1989, 34, 378-390
35. Tyson, J. J.; Strogatz, S. H. The Differential Geometry of Scroll Waves Int. J. Bifurcation Chaos 1991, 1, 723-744
36. Bray, M. A.; Wikswo, J. P. Interaction Dynamics of a Pair of Vortex Filament Rings Phys. Rev. Lett. 2003, 90, 238303
37. Fiedler, B.; Mantel, R. M. Crossover Collision of Scroll Wave Filaments Doc. Math. 2000, 5, 695-732
38. Clayton, R. H.; Holden, A. V. Dynamics and Interaction of Filaments in a Computational Model of Re-Entrant Ventricular Fibrillation Phys. Med. Biol. 2002, 47, 1777-1792
39. Henze, C.; Lugosi, E.; Winfree, A. T. Helical Organizing Centers in Excitable Media Can. J. Phys. 1990, 68, 683-710
40. Mironov, S.; Vinson, M.; Mulvey, S.; Pertsov, A. Destabilization of Three-Dimensional Rotating Chemical Waves in an Inhomogeneous BZ Reaction J. Phys. Chem. 1996, 100, 1975-1983
41. Amemiya, T.; Kettunden, P.; Kádár, S.; Yamaguchi, T.; Showalter, K. Formation and Evolution of Scroll Waves in Photosensitive Excitable Media Chaos 1998, 8, 872-878
42. Henry, H.; Hakim, V. Scroll Waves in Isotropic Excitable Media: Linear Instabilities, Bifurcations, and Restabilized States Phys. Rev. E 2002, 65, 046235
43. Dähmlow, P.; Alonso, S.; Bär, M.; Hauser, M. J. B. Twists of Opposite Handedness on a Scroll Wave Phys. Rev. Lett. 2013, 116, 234102
44. Luengviriya, C.; Storb, U.; Hauser, M. J. B.; Müller, S. C. An Elegant Method to Study an Isolated Spiral Wave in a Thin Layer of a Batch Belousov-Zhabotinsky Reaction under Oxygen-Free Conditions Phys. Chem. Chem. Phys. 2006, 8, 1425-1429
45. Stock, D.; Müller, S. C. Three-Dimensional Reconstruction of Scroll Waves in the Belousov-Zhabotinsky Reaction Using Optical Tomography Physica D 1996, 96, 396-403
46. Gabbay, M.; Ott, E.; Guzdar, P. N. Reconnection of Vortex Filaments in the Complex Ginzburg-Landau Equation Phys. Rev. E 1998, 58, 2576-2579