Supernormal conduction in cardiac tissue promotes concordant alternans and action potential bunching

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

Volumn 83, Issue 4, 2011, Pages

  Echebarria, Blas ^a   Röder, Georg ^b   Engel, Harald ^c   Davidsen, Jörn ^d   Bär, Markus ^e  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^c TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^d UNIVERSITY OF CALGARY   (Canada)

^e PHYSIKALISCH TECHNISCHE BUNDESANSTALT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIALS; BIFURCATION ANALYSIS; CARDIAC TISSUES; IONIC MODELS; NODAL LINE; SPIRAL WAVES;

BIFURCATION (MATHEMATICS); ELECTROPHYSIOLOGY;

TISSUE;

EID: 79961088813     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.040902     Document Type: Article

References (37)

1. J. J. Tyson and J. P. Keener, Physica D PDNPDT 0167-2789 10.1016/0167-2789(88)90062-0 32, 327 (1988);
2. E. Meron, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(92)90098-K 218, 1 (1992).
3. E. M. Cherry and F. H. Fenton, Am. J. Physiol. Heart Circ. Physiol. PRPLCM 0363-6135 10.1152/ajpheart.00747.2003 286, 2332 (2004). (Pubitemid 38685250)
4. J. F. Spear and E. N. Moore, Circ. Res. 35, 782 (1974).
5. J. Christoph, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82. 1586 82, 1586 (1999).
6. C. T. Hamik, N. Manz, and O. Steinbock, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp010270j 105, 6144 (2001). (Pubitemid 35377987)
7. M. Or-Guil, I. G. Kevrekidis, and M. Bär, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00136-0 1350, 154 (2000). (Pubitemid 33592734)
8. C. T. Hamik and O. Steinbock, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/358 5, 1 (2003);
9. G. Bordyugov, N. Fischer, H. Engel, N. Manz, and O. Steinbock, Physica D PDNPDT 0167-2789 10.1016/j.physd.2009.10.022 239, 766 (2010).
10. F. H. Fenton, E. M. Cherry, H. M. Hastings, and S. J. Evans, Chaos CHAOEH 1054-1500 10.1063/1.1504242 12, 852 (2002).
11. V. Iyer, R. Mazhari, and R. L. Winslow, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.104.043299 87, 1507 (2004); (Pubitemid 39167010)
12. A. Bueno-Orovio, E. M. Cherry, and F. H. Fenton, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2008.03.029 253, 544 (2008).
13. G. W. Beeler and H. Reuter, J. Physiol. (London) 268, 177 (1977);
14. J. P. Drouhard and F. A. Roberge, Comp. Biomed. Res. CBMRB7 0010-4809 10.1016/0010-4809(87)90048-6 20, 333 (1987).
15. S. Bauer, G. Röder, and M. Bär, Chaos CHAOEH 1054-1500 10.1063/1.2715668 17, 015104 (2007).
16. C. H. Luo and Y. Rudy, Circ. Res. 68, 1501 (1991);
17. E. de Lange and J. P. Kucera, Biophys J. BIOJAU 0006-3495 10.1016/j.bpj.2008.09.025 96, 294 (2009).
18. E. de Lange and J. P. Kucera, Biophys. J. BIOJAU 0006-3495 10.1016/j.bpj.2009.12.4280 98, 1129 (2010).
19. O. Kwon, T. Y. Kim, and K. J. Lee, Phys. Rev. E BIOJAU 1539-3755 10.1103/PhysRevE.82.046213 82, 046213 (2010).
20. T. Lewis, Q. J. Med. 4, 141 (1910).
21. M. A. Watanabe, F. H. Fenton, S. J. Evans, H. M. Hastings, and A. Karma, J. Cardiovasc. Electrophys. JCELE2 1045-3873 10.1046/j.1540-8167.2001.00196.x 12, 196 (2001).
22. J. M. Pastore, S. D. Girouard, K. R. Laurita, F. G. Akar, and D. S. Rosenbaum, Circulation 99, 1385 (1999).
23. J. N. Weiss, Circulation CIRCAZ 0009-7322 10.1161/CIRCULATIONAHA.104. 529545 112, 1232 (2005). (Pubitemid 41216132)
24. B. Echebarria and A. Karma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.208101 88, 208101 (2002);
25. B. Echebarria and A. Karma, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.76.051911 76, 051911 (2007). (Pubitemid 350113086)
26. J. G. Restrepo and A. Karma, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.79.030906 79, 030906 (2009).
27. T. Y. Kim, S. J. Woo, S. M. Hwang, J. H. Hong, and K. J. Lee, Proc. Natl. Acad. Sci. USA. PNASA6 0027-8424 10.1073/pnas.0704204104 104, 11639 (2007). (Pubitemid 47175065)
28. We discretize Eq. using a simple forward explicit Euler method with dx=0.01 cm and dt=0.02 ms.
29. M. Courtemanche, L. Glass, and J. P. Keener, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.2182 70, 2182 (1993);
30. M. Courtemanche, J. P. Keener, and L. Glass, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/S0036139993259337 56, 119 (1996).
31. J.-S. Park and K. J. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.5393 83, 5393 (1999);
32. J.-S. Park, S. J. Woo, O. Kwon, T. Y. Kim, and K. J. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.068302 100, 068302 (2008). (Pubitemid 351393524)
33. A. Goryachev, R. Kapral, and H. Chaté, Int. J. Bif. Chaos IJBEE4 0218-1274 10.1142/S0218127400000992 10, 1537 (2000);
34. J. Davidsen, R. Erichsen, R. Kapral, and H. Chate, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.018305 93, 018305 (2004);
35. B. Sandstede and A. Scheel, SIAM J. Appl. Dyn. Syst. PRLTAO 1536-0040 10.1137/060668158 6, 494 (2007).
36. M. Yoneyama, A. Fujii, and S. Maeda, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja00136a016 117, 8188 (1995).
37. A. Goryachev and R. Kapral, Int. J. Bif. Chaos IJBEE4 0218-1274 10.1142/S021812749900170X 9, 2243 (1999).