Dynamics of sustained reentry in a loop model with discrete gap junction resistances

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 2, 2007, Pages

  Chen, Wei ^a   Potse, Mark ^b   Vinet, Alain ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

^b HÔPITAL DU SACRÉ COEUR DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CELLS; MATHEMATICAL MODELS;

CARDIAC CELLS; INTERCELLULAR GAP JUNCTION RESISTANCE; QUASIPERIODIC (QP) MODES;

REENTRY;

EID: 34548452601     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.021928     Document Type: Article

References (35)

1. L. Boersma, J. Brugada, C. J. H. Kirchhof, and M. A. Allessie, Circulation 88, 1852 (1993). 0009-7322
2. J. Brugada, L. Boersma, C. J. H. Kirchhof, V. V. Heynen, and M. A. Allessie, Circulation 84, 1296 (1991). 0009-7322
3. L. H. Frame and M. B. Simson, Circulation 78, 1277 (1988). 0009-7322
4. P. L. Rensma, M. A. Allessie, W. J. E. P. Lammers, F. I. M. Bonke, and M. J. Schalij, Circ. Res. 62, 395 (1988). 0009-7330
5. A. Vinet and L. J. Leon, Proc. 13th IEEE/EMDSSS (1991), p. 508.
6. A. Vinet and F. A. Roberge, Ann. Biomed. Eng. ABMECF 0090-6964 10.1007/BF02368285 22, 568 (1994).
7. A. Vinet, Ann. Biomed. Eng. ABMECF 0090-6964 10.1114/1.1289458 28, 704 (2000).
8. A. Vinet, J. Biol. Syst. 7, 451 (1999). 0218-3390
9. M. Courtemanche, L. Glass, and J. P. Keener, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.2182 70, 2182 (1993).
10. M. Courtemanche, J. P. Keener, and L. Glass, J. Appl. Math. 56, 119 (1996). 1110-757X
11. B. Echebarria and A. Karma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.208101 88, 208101 (2002).
12. A. Karma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.1103 71, 1103 (1993).
13. T. J. Lewis and M. R. Guevara, J. Theor. Biol. JTBIAP 0022-5193 10.1016/S0022-5193(05)80750-7 146, 407 (1990).
14. W. Quan and Y. Rudy, Circ. Res. 66, 367 (1990). 0009-7330
15. X. Chen, F. H. Fenton, and R. A. Gray, Heart Rhythm 2, 1038 (2005). 1547-5271
16. E. Cytrynbaum and J. P. Keener, Chaos CHAOEH 1054-1500 10.1063/1.1503941 12, 788 (2002).
17. G. A. Gottwald and L. Kramer, Chaos CHAOEH 1054-1500 10.1063/1.2168393 16, 013122 (2006).
18. P. Comtois and A. Vinet, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.051903 68, 051903 (2003).
19. M. S. Spach and J. F. Heidlage, Circ. Res. 76, 366 (1995). 0009-7330
20. J. P. Keener, J. Theor. Biol. JTBIAP 0022-5193 10.1016/S0022-5193(05) 80465-5 148, 49 (1991).
21. Y. Rudy, J. Cardiovasc. Electrophysiol. 6, 294 (1995). 1045-3873
22. V. G. Fast and A. G. Kléber, Circ. Res. 73, 914 (1993). 0009-7330
23. Y. Rudy and W. L. Quan, Circ. Res. 61, 815 (1987). 0009-7330
24. R. M. Shaw and Y. Rudy, Circ. Res. 81, 727 (1997). 0009-7330
25. Z. Qu, Am. J. Physiol. 287, H2803 (2004). 0002-9513
26. Z. Qu, H. R. Karagueuzian, A. Garfinkel, and J. N. Weiss, Am. J. Physiol. 286, H2803 (2004). 0002-9513
27. E. M. Cherry and F. H. Fenton, Am. J. Physiol. 286, H2332 (2004). 0002-9513
28. F. A. Roberge, A. Vinet, and B. Victorri, Circ. Res. 58, 461 (1986). 0009-7330
29. P. Comtois and A. Vinet, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.051927 72, 051927 (2005).
30. A. G. Kléber, C. B. Riegger, and M. J. Janse, Circ. Res. 61, 271 (1987). 0009-7330
31. A. Vinet, D. R. Chialvo, and J. Jalife, Ann. (N.Y.) Acad. Sci. 601, 281 (1990). 0077-8923
32. A. Vinet, D. R. Chialvo, D. C. Michaels, and J. Jalife, Circ. Res. 67, 1510 (1990). 0009-7330
33. R. Jamaleddine and A. Vinet, J. Biol. Syst. 7, 475 (1999). 0218-3390
34. A. P. Henriquez, R. Vogel, B. J. Muller-Borer, C. S. Henriquez, R. Weingart, and W. E. Casio, Biophys. J. 81, 2112 (2001). 0006-3495
35. C. Oka, H. Matsuda, N. Sarai, and A. Noma, J. Physiol. Sci. 56, 79 (2006).