Topological Constraint on Scroll Wave Pinning

Physical Review Letters

Volumn 84, Issue 12, 2000, Pages 2738-2741

  Pertsov, Arkady M ^a   Wellner, Marcel ^a,b   Vinson, Michael ^c   Jalife, José ^a  

^a SUNY UPSTATE MEDICAL UNIVERSITY   (United States)

^b SYRACUSE UNIVERSITY   (United States)

^c AMERICAN UNIVERSITY OF SHARJAH   (United Arab Emirates)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL MODEL; KINETICS; PHYSICAL PHENOMENA; PHYSICS; THEORETICAL MODEL;

KINETICS; MODELS, CARDIOVASCULAR; MODELS, THEORETICAL; PHYSICAL PHENOMENA; PHYSICS;

EID: 0034688890     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.84.2738     Document Type: Article

References (22)

1. J. P. Keener and J. J. Tyson, SIAM Rev. 34, 1 (1992).
2. For a review, see A. M. Pertsov and J. Jalife, in Cardiac Electrophysiology from Cell to Bedside, edited by D. P. Zipes and J. Jalife, (W. B. Saunders, London, 1995), Chap. 38.
3. P. J. Nandapurkar and A. T. Winfree, Physica (Amsterdam) 29D, 69 (1987).
4. R. A. Gray, A. M. Pertsov, and J. Jalife, Nature (London) 392, 75 (1998).
5. V. S. Zykov, Simulation of Wave Processes in Excitable Media (Manchester University Press, New York, 1987), p. 122, Fig. 6.6; B. J. Roth, in Mathematical Models in Medical and Health Sciences, edited by M. A. Horn, G. Simonett, and G. Webb (Vanderbilt University Press), p. 327 (note p. 331, Fig. 5); F. Fenton and A. Karma, Chaos 8, 20 (1998), Sec. VI; J. Beaumont, N. Davidenko, A. Goodwin, and J. Jalife (to be published).
6. V. S. Zykov, Simulation of Wave Processes in Excitable Media (Manchester University Press, New York, 1987), p. 122, Fig. 6.6; B. J. Roth, in Mathematical Models in Medical and Health Sciences, edited by M. A. Horn, G. Simonett, and G. Webb (Vanderbilt University Press), p. 327 (note p. 331, Fig. 5); F. Fenton and A. Karma, Chaos 8, 20 (1998), Sec. VI; J. Beaumont, N. Davidenko, A. Goodwin, and J. Jalife (to be published).
7. V. S. Zykov, Simulation of Wave Processes in Excitable Media (Manchester University Press, New York, 1987), p. 122, Fig. 6.6; B. J. Roth, in Mathematical Models in Medical and Health Sciences, edited by M. A. Horn, G. Simonett, and G. Webb (Vanderbilt University Press), p. 327 (note p. 331, Fig. 5); F. Fenton and A. Karma, Chaos 8, 20 (1998), Sec. VI; J. Beaumont, N. Davidenko, A. Goodwin, and J. Jalife (to be published).
8. V. S. Zykov, Simulation of Wave Processes in Excitable Media (Manchester University Press, New York, 1987), p. 122, Fig. 6.6; B. J. Roth, in Mathematical Models in Medical and Health Sciences, edited by M. A. Horn, G. Simonett, and G. Webb (Vanderbilt University Press), p. 327 (note p. 331, Fig. 5); F. Fenton and A. Karma, Chaos 8, 20 (1998), Sec. VI; J. Beaumont, N. Davidenko, A. Goodwin, and J. Jalife (to be published).
9. A. M. Pertsov and M. Vinson, Philos. Trans. R. Soc. London A 347, 687 (1994).
10. A. M. Pertsov, E. A. Ermakova, and A. V. Panfilov, Physica (Amsterdam) 14D, 117 (1984).
11. X. Zou, H. Levine, and D. A. Kessler, Phys. Rev. E 47, R800 (1993); I. Aranson, D. Kessler, and I. Mitkov, Physica (Amsterdam) 85D, 142 (1995); F. Xie, Z. Qu, and A. Garfinkel, Phys. Rev. E 58, 6355 (1998).
12. X. Zou, H. Levine, and D. A. Kessler, Phys. Rev. E 47, R800 (1993); I. Aranson, D. Kessler, and I. Mitkov, Physica (Amsterdam) 85D, 142 (1995); F. Xie, Z. Qu, and A. Garfinkel, Phys. Rev. E 58, 6355 (1998).
13. X. Zou, H. Levine, and D. A. Kessler, Phys. Rev. E 47, R800 (1993); I. Aranson, D. Kessler, and I. Mitkov, Physica (Amsterdam) 85D, 142 (1995); F. Xie, Z. Qu, and A. Garfinkel, Phys. Rev. E 58, 6355 (1998).
14. M. Vinson, Physica (Amsterdam) 116D, 313 (1998).
15. A. P. Muñuzuri, V. Pérez-Muñuzuri, and V. Pérez-Villar, Phys. Rev. E 58, R2689 (1998).
16. M. Vinson, A. M. Pertsov, and J. Jalife, Physica (Amsterdam) 72D, 119 (1993).
17. V. I. Krinsky and K. I. Agladze, Dokl. Akad. Nauk SSSR 263, 335 (1982); K. I. Agladze and V. I. Krinsky, Nature (London) 296, 424 (1982).
18. V. I. Krinsky and K. I. Agladze, Dokl. Akad. Nauk SSSR 263, 335 (1982); K. I. Agladze and V. I. Krinsky, Nature (London) 296, 424 (1982).
19. A. T. Winfree and S. H. Strogatz, Physica (Amsterdam) 8D, 35 (1983).
20. A. T. Winfree, SIAM Rev. 32, 1 (1990).
21. A. T. Winfree, Nature (London) 371, 233 (1994).
22. A. M. Pertsov, S. F. Mironov, A. V. Zaitsev, and J. Jalife, 100, I-872 (1999).