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Complex spiral wave dynamics in a spatially distributed ionic model of cardiac electrical activity
1.D. W. Frazier, W. Krassowska, and P. S. Chen, “Transmural activation and stimulus potentials in three-dimensional anisotropic canine myocardium,” Circ. Res. 63, 135–146 (1988).
2.N. Shibata, P.-S. Chen, E. G. Dixon, P. D. Wolf, N. D. Danieley, W. M. Smith, and R. E. Ideker, “Influence of shock strength and timing on the induction of ventricular arrhythmias in dogs,” Am. J. Physiol. 255, H891–H901 (1988).
3.S. M. Dillon, M. A. Allessie, P. C. Ursell, and A. L. Wit, “Influences of anisotropic tissue structure on reentrant circuits in the epicardial border zone of subacute canine infarcts,” Circ. Res. 63, 182–206 (1988).
4.E. Downar, L. Harris, L. L. Mickelborough, N. Shaikh, and I. D. Parson, “Endocardial mapping of ventricular tachycardia in the intact human ventricle: evidence for reentrant mechanisms.” J. Am. Coll. Cardiol. 11, 783–791 (1988).
5.J. M. Davidenko, P. F. Kent, D. R. Chialvo, D. C. Michaels, and J. Jalife, “Sustained vortex-like waves in normal isolated ventricular muscle,” Ann. NY Acad. Sci. 591, 8785–8789 (1990).
6.J. M. Davidenko, P. Kent, and J. Jalife, “Spiral waves in normal isolated ventricular muscle,” Physica D 49, 182–197 (1991).
7.J. M. Davidenko, A. V. Pertsov, R. Salomonsz, W. Baxter, and J. Jalife, “Stationary and drifting spiral waves in isolated cardiac muscle,” Nature 355, 349–351 (1992).
8.R. Gray, J. Jalife, A. Panfilov, W. T. Baxter, C. Cabo, J. M. Davidenko, and A. M. Pertsov, “Nonstationary vortex-like reentrant activity as a mechanism of polymorphic ventricular tachycardia in the isolated rabbit heart,” Circulation 91, 2454–2469 (1995).
9.A. T. Winfree, The Geometry of Biological Time (Springer-Verlag, New York, 1980).
10.V. S. Zykov, Simulation of Wave Processes in Excitable Media, translated 1987 (Manchester University Press, Manchester, United Kingdom, 1984).
11.A. T. Winfree, When Time Breaks Down (Princeton University Press, Princeton, NJ, 1987).
12.M. J. Janse, A. G. Kleber, and A. Capucci, “Electrophysiological basis for arrhythmias caused by acute ischemia,” J. Mol. Cell Cardiol. 18, 339–355 (1986).
13.P. S. Chen, P. D. Wolf, E. G. Dixon, N. D. Danieley, D. W. Frazier, W. M. Smith, and R. E. Ideker, “Mechanism of ventricular vulnerability to single premature stimuli in open chest dogs,” Circ. Res. 62, 1191–1209 (1988).
14.H. Meron, “Pattern formation in excitable media,” Phys. Rep. 218, 1–66 (1992).
15.M. Gerhardt, H. Schuster, and J. J. Tyson, “A cellular automaton model of excitable media including the effects of curvature and dispersion,” Science 247, 1563–1566 (1990).
16.H. Ito and L. Glass, “Spiral breakup in a new model of discrete excitable media,” Phys. Rev. Lett. 66, 671–674 (1991).
17.A. T. Winfree, “Electrical instability in cardiac muscle: Phase singularities and rotors,” J. Theor. Biol. 138, 353–405 (1989).
18.A. V. Panfilov and A. V. Holden, “Spatio-temporal chaos in a model of cardiac electrical activity,” Int. J. Bifurcation Chaos 1, 219–225 (1991).
19.M. Courtemanche and A. T. Winfree, “Re-entrant rotating waves in a Beeler–Reuter based model of two-dimensional cardiac activity,” Int. J. Bifurcation Chaos 1, 431–444 (1991).
20.M. Bar and M. Eiswirth, “Turbulence due to spiral breakup in a continuous excitable media,” Phys. Rev. E 48, R1635 (1993).
21.A. Panfilov and P. Hogeweg, “Spiral breakup in a modified FitzHugh- Nagumo model,” Phys. Rev. A 176, 295–299 (1993).
22.L. J. Leon, F. A. Roberge, and A. Vinet, “Simulation of two-dimensional anisotropic cardiac reentry: Effects of the wavelength on the reentry characteristics,” Ann. Biomed. Eng. 22, 592–609 (1994).
23.A. Karma, “Electrical alternans and spiral wave breakup in cardiac tissue,” Chaos 4, 461–472 (1994);
23.“Spiral breakup in model equations of action potential propagation in cardiac tissue,” Phys. Rev. Lett. 71, 1103 (1993)
24.G. W. Beeler and H. Reuter, “Reconstruction of the action potential of ventricular myocardial fibers,” J. Physiol. 268, 177–210 (1977).
25.M. Kawato, A. Yamanaka, S. Urushibara, O. Nagata, H. Irisawa, and R. Suzuki, “Simulation analysis of excitation conduction in the heart: Propagation of excitation in different tissues,” J. Theor. Biol. 120, 389–409 (1986).
26.F. A. Roberge, A. Vinet, and B. Victorii, “Reconstruction of propagated electrical activity with a two-dimensional model of anisotropic heart muscle,” Circ. Res. 58, 461–475 (1986).
27.M. Courtemanche, J. P. Keener, and L. Glass, “A delay equation representation of pulse circulation on a ring in excitable media,” SIAM J. Appl. Math. 56, 119–142 (1996).
28.M. R. Guevara, G. Ward, A. Shrier, and L. Glass,“ Electrical alternans and period-doubling bifurcations,” IEEE Comp. Cardiol., 167–170 (1984).
29.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).
30.A. T. Winfree, “Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media,” Chaos 1, 303–334 (1991).
31.H. Zhang and A. V. Holden, “Chaotic meander of spiral waves in the Fitzhugh-Nagumo system,” Chaos Solitons Fractals 5, 661–670 (1995).
32.M. Courtemanche, L. Glass, and J. P. Keener, “Instabilities of a propagating pulse in a ring of excitable media,” Phys. Rev. Lett. 70, 2182–2185 (1993).
33.M. R. Boyett and B. R. Jewell, “A study of the factors responsible for rate-dependent shortening of the action potential in mammalian ventricular muscle,” J. Physiol. 285, 359–380 (1978).
34.V. Elharrar and B. Surawicz, “Cycle length effect on restitution of action potential duration in dog cardiac fibers,” Am. J. Physiol. 244, H782–H792 (1983).
35.A. V. Kholopov, “Spread of excitation in a fiber, the refractoriness of which depends on the period of excitation,” Biofizika 13, 670–678 (1968).
36.I. R. Efimov, V. I. Krinsky, and J. Jalife, “Dynamics of rotating vortices in the Beeler-Reuter model of cardiac tissue,” Chaos Solitons Fractals 5, 513–526 (1995).
37.A. T. Winfree, “Mapping in 3D and future directions: How does VT decay into VF?” in Proceedings of the First International Workshop on Cardiac Mapping, edited by M. Borgreffe, G. Breithardt, and M. Shenasa (Futura, Mt. Kisko, 1993).
38.B. Y. Kogan, W. J. Karplus, and B. S. Billett, “The simplified FitzHugh- Nagumo model with slow recovery properties and 2-D wave propagation,” Physica D 50, 327–340 (1991).
39.J. B. Nolasco and R. W. Dahlen, “A graphic method for the study of alternation in cardiac action potentials,” J. Appl. Physiol. 25, 192–196 (1968).
40.A. Vinet, D. R. Chialvo, and J. Jalife, “Irregular dynamics of excitation in biological and mathematical models of cardiac cells,” in Electrocardiography, Past and Future, Annals of the New York Academy of Sciences 601, edited by O. B. Garfein and P. Coumel (New York Academy of Sciences, New York, 1991).
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