Suppressing arrhythmias in cardiac models using overdrive pacing and calcium channel blockers

Chaos

Volumn 12, Issue 3, 2002, Pages 931-940

  Stamp, A T ^a   Osipov, G V ^a,b   Collins, J J ^a  

^a Boston University   (United States)

^b LOBACHEVSKY STATE UNIVERSITY OF NIZHNY NOVGOROD   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036710149     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1500495     Document Type: Article

References (31)

1. J. Jalife and R.A. Gray, "Drifting vortices of electrical waves underlie ventricular fibrillation in the rabbit heart," Acta Physiol. Scand. 157, 123-131 (1996).
2. J. Jalife, R.A. Gray, G.E. Morley, and J.M. Davidenko, "Self-organization and the dynamical nature of ventricular fibrillation," Chaos 8, 79-93 (1998).
3. A.V. Panfilov, "Spiral breakup as a model of ventricular fibrillation," Chaos 8, 57-64 (1998).
4. F.X. Witkowski, L.J. Leon, P.A. Penkoske, W.R. Giles, M.L. Spano, W.L. Ditto, and A.T. Winfree, "Spatiotemporal evolution of ventricular fibrillation," Nature (London) 392, 78-82 (1998).
5. L. Tung, "Detrimental effects of electrical fields on cardiac muscle," Proc. IEEE 84, 366-378 (1996).
6. M. Allessie, C. Kirchhof, G.J. Scheffer, F. Chorro, and J. Brugada, "Regional control of atrial fibrillation by rapid pacing in conscious dogs," Circulation 84, 1689-1697 (1991).
7. A. Capucci, F. Ravelli, G. Nollo, A.S. Montenero, M. Biffi, and G.Q. Villani, "Capture window in human atrial fibrillation," J. Cardiovasc. Electrophysiol. 10, 319-327 (1999).
8. E.G. Daoud, B. Pariseau, M. Niebauer, F. Bogun, R. Goyal, M. Harvey, K.C. Man, S.A. Strickberger, and F. Morady, "Response of type I atrial fibrillation to atrial pacing in humans," Circulation 94, 1036-1040 (1996).
9. J.M. Kalman, J.E. Olgin, M.R. Karch, and M.D. Lesh, "Regional entrainment of atrial fibrillation in man," J. Cardiovasc. Electrophysiol. 7, 867-876 (1996).
10. C. Kirchhof, F. Chorro, G.J. Scheffer, J. Brugada, K. Konings, Z. Zetelaki, and M. Allessie, "Regional entrainment of atrial fibrillation studied by high-resolution mapping in open-chest dogs," Circulation 88, 736-749 (1993).
11. B.H. KenKnight, P.V. Bayly, R.J. Gerstle, D.L. Rollins, P.D. Wolf, W.M. Smith, and R.E. Ideker, "Regional capture of fibrillating ventricular myocardium: Evidence of an excitable gap," Circ. Res. 77, 849-855 (1995).
12. K.J. Lee, "Wave pattern selection in an excitable system," Phys. Rev. Lett. 79, 2907-2910 (1997).
13. R. Mantel and D. Barkley, "Periodic forcing of spiral waves in excitable media," Phys. Rev. E 54, 4791-4802 (1996).
14. A.T. Winfree, "Alternative stable rotors in an excitable medium," Physica D 49, 125-140 (1991).
15. F. Xie, Z. Qu, J.N. Weiss, and A. Garfinkel, "Interactions between stable spiral waves with different frequencies in cardiac tissue," Phys. Rev. E 59, 2203-2205 (1999).
16. G. Gottwald, A. Pumir, and V. Krinsky, "Spiral wave drift induced by stimulating wave trains," Chaos 11, 487-494 (2001).
17. A.L. Bassett, S. Chakko, and M. Epstein, "Are calcium antagonists proarrhythmic?" J. Hypertens. 15, 915-923 (1997).
18. T.R. Chay, "Why are some antiarrhythmic drags proarrhythmic? Cardiac arrhythmia study by bifurcation analysis," J. Electrocardiol. 28, 191-197 (1995).
19. C.H. Luo and Y. Rudy, "A model of the ventricular cardiac action potential," Circ. Res. 68, 1501-1526 (1991).
20. V.I. Krinsky and K.I. Agladze, "Interaction of rotating waves in an active chemical medium," Physica D 8, 50-56 (1983).
21. V.S. Zykov, "Spiral waves in two-dimensional excitable media," Ann. N.Y. Acad. Sci. 591, 75-85 (1990).
22. A.T. Winfree, "Vortex action potentials in normal ventricular muscle," Ann. N.Y. Acad. Sci. 591, 190-207 (1990).
23. J.J. Tyson and J.P. Keener, "Singular perturbation theory of traveling waves in excitable media," Physica D 32, 327-361 (1988).
24. A.N. Zaikin and A.M. Zhabotinsky, "Concentration wave propagation in two-dimensional liquid-phase self-oscillating system," Nature (London) 225, 535-537 (1970).
25. M.R. Guevara, A. Shrier, and L. Glass, "Phase-locked rhythms in periodically stimulated heart cell aggregates," Am. J. Physiol. 254, H1-H10 (1988).
26. T.J. Lewis and M.R. Guevara, "Chaotic dynamics in an ionic model of the propagated cardiac action potential," J. Theor. Biol. 146, 407-432 (1990).
27. Z. Qu and A. Garfinkel, "An advanced algorithm for solving partial differential equation in cardiac conduction," IEEE Trans. Biomed. Eng. 46, 1166-1168 (1999).
28. S. Rush and H. Larsen, "A practical algorithm for solving dynamic membrane equations," IEEE Trans. Biomed. Eng. 25, 389-392 (1978).
29. Z. Qu, J.N. Weiss, and A. Garfinkel, "From local to global spatiotemporal chaos in a cardiac tissue model," Phys. Rev. E 61, 727-732 (2000).
30. P.O. Anderson, J.E. Knoben, and W.G. Troutman, Handbook of Clinical Drug Data, 9th ed. (Appleton and Lange, Stamford, 1999), pp. 345-357.
31. S.C. Vlay, A Practical Approach to Cardiac Arrhythmias, 2nd ed. (Little, Brown, and Company, Boston, 1996), pp. 309-317.