Influence of the distance on the interaction between an autonomous pacemaker and a reentry

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 1, 1998, Pages 949-954

  deCastro, M ^a   Gomez Gesteira M ^a   Perez Villar V ^a  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000035307     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.949     Document Type: Article

References (52)

1. A. T. Winfree, The Geometry of Biological Time (Springer-Verlag, New York, 1980).
2. J. D. Murray, Mathematical Biology (Springer-Verlag, New York, 1989).
3. G. R. Mines, Trans. R. Soc. Can. 4, 43 (1914).
4. T. Lewis, and A. M. Master, Heart 12, 209 (1925).
5. Mathematical Approaches to Cardiac Arrhythmias, edited by J. Jalife, special issue of Ann. N. Y. Acad. Sci. 591 (1990).
6. Theory of Heart, edited by L. Glass, P. Hunter, and A. McCulloch (Springer, New York, 1991).
7. A. V. Panfilov and A. V. Holden, Phys. Lett. A 151, 23 (1990)
8. M. Courtemanche and A. T. Winfree, Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, 431 (1991).
9. V. S. Zykov, Simulation of Wave Processes in Excitable Media (Manchester University Press, Manchester, 1987).
10. N. Wiener, and A. Rosenblueth, Arch. Inst. Cardiol. Mex. 16, 205 (1946).
11. M. Courtemanche, L. Glass, and J. P. Keener, Phys. Rev. Lett. 70, 2182 (1993); PRLTAO
12. M. CourtemancheL. GlassJ. P. KeenerSIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 56, 119 (1996).
13. H. Ito and L. Glass, Physica D 56, 84 (1992)
14. B. Braaksma and J. Grasman, Physica D 68, 265 (1993)
15. M. Feingold, D. L. González, O. Piro, and H. Viturro, Phys. Rev. A 37, 4060 (1988)
16. D. R. Chialvo and J. Jalife, Nature (London) 330, 749 (1987)
17. D. R. Chialvo, R. F. Gilmore, Jr., and J. Jalife, Nature (London) 343, 653 (1990)
18. H. Sevcikova and M. Marek, Physica D 49, 114 (1991)
19. V. Pérez-Muũzuri, M. Alonso, L. O. Chua, and V. Pérez-Villar, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 1631 (1994).
20. A. Toth, V. Gaspar, and K. Showalter, J. Phys. Chem. 98, 522 (1994)
21. M. P. Kennedy, K. R. Krieg, and L. O. Chua, IEEE Trans. Circuits Syst. 36, 1133 (1989)
22. J. Luprano and M. Hasler, IEEE Trans. Circuits Syst. 36, 146 (1989)
23. A. P. Muñuzuri, M. Gómez-Gesteira, V. Pérez-Muñuzuri, V. I. Krinsky, and V. Pérez-Villar, Phys. Rev. E 48, 3232 (1993); PLEEE8
24. A. P. MuñuzuriM. Gómez-GesteiraV. Pérez-MuñuzuriV. I. KrinskyV. Pérez-Villar Phys. Rev. E 50, 4258 (1994);
25. A. P. MuñuzuriM. Gómez-GesteiraV. Pérez-MuñuzuriV. I. KrinskyV. Pérez-VillarInt. J. Bifurcation Chaos Appl. Sci. Eng. 4, 1245 (1994).
26. M. Ruiz-Villarreal, M. Gómez-Gesteira, C. Souto, A. P. Muñuzuri, and V. Pérez-Villar, Phys. Rev. E 54, 2999 (1996).
27. M. Ruiz-Villarreal, M. Gómez-Gesteira, and V. Pérez-Villar, Phys. Rev. Lett. 78, 779 (1997)
28. V. I. Krinsky and K. L. Agladze, Physica D 8, 50 (1983)
29. O. Steinbock and S. C. Müller, Int. J. Bifurcation Chaos Appl. Sci. Eng. 3, 437 (1993).
30. I. P. Mariño, M. deCastro, V. Pérez-Muñuzuri, M. Gómez-Gesteira, L. O. Chua, and V. Pérez-Villar, IEEE Trans. Circuits Syst. 42, 665 (1995)
31. M. deCastro, V. Pérez-Muñuzuri, I. P. Mariño, M. Gómez-Gesteira, L. O. Chua, and V. Pérez-Villar, Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, 1725 (1996).
32. A. T. Winfree, Physica D 49, 125 (1991)
33. I. S. Aranson, L. Kramer, and A. Weber, Physica D 53, 376 (1991); PDNPDT
34. I. S. AransonL. KramerA. WeberPhys. Rev. Lett. 67, 404 (1991);
35. I. S. AransonL. KramerA. WeberPhys. Rev. E 47, 3231 (1993).
36. M. Courtemanche, L. Glass, J. Bélair, D. Scagliotti, and D. Gordon, Physica D 40, 299 (1989)
37. R. N. Madan, Chua’s Circuit: A Paradigm for Chaos, World Scientific Series of Nonlinear Science, Ser. B1 (World Scientific, Singapore, 1993).
38. A. P. Muñuzuri, V. Pérez-Muñuzuri, M. Gómez-Gesteira, L. O. Chua, and V. Pérez-Villar, Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, 17 (1995).
39. V. Pérez-Muñuzuri, A. P. Muñuzuri, M. Gómez-Gesteira, V. Pérez-Villar, L. Pivka, and L. O. Chua, Philos. Trans. R. Soc. London, Ser. A 353, 101 (1995)
40. V. Pérez-Muñuzuri, V. Pérez-Villar, and L. O. Chua, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 403 (1992).
41. J. P. Keener, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 47, 556 (1987); SMJMAP
42. J. P. KeenerJ. Theor. Biol. 148, 49 (1991).
43. J. Brugada, Circulation 81, 1633 (1990)
44. M. A. Allessie, Eur. Heart J. 10, 8 (1990).
45. L. Glass and R. Pérez, Phys. Rev. Lett. 48, 26 (1982)
46. T. Geisel and J. Nierwetberg, Phys. Rev. Lett. 48, 1 (1982)
47. M. Schell, S. Fraser, and R. Kapral, Phys. Rev. A 28, 1 (1983)
48. D. Rand, S. Ostlund, J. Sethna, and E. Siggia, Phys. Rev. A 49, 2 (1982)
49. J. Bélair and L. Glass, Physica D 16, 143 (1985)
50. L. Glass, M. Guevara, J. Bélair, and A. Shrier, Phys. Rev. A 29, 3 (1984)
51. M. Guevara, L. Glass, and A. Shrier, Science 214, 18 (1981)
52. M. deCastro, M. Gómez-Gesteira, H. Zhang, and V. Pérez-Villar, Phys. Rev. E 57, 949 (1998). PLEEE8