Termination of reentry by infra- and supra-threshold pulses

Chaos, Solitons and Fractals

Volumn 11, Issue 13, 2000, Pages 2031-2038

  Decastro, M ^a   Gomez Gesteira M ^a   Zhang, H ^b   Perez Villar V ^b  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

^b UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CARDIOLOGY; ELECTRIC POTENTIAL; NONLINEAR NETWORK ANALYSIS; TISSUE;

INFRA-THRESHOLD PULSES; SUPRA-THRESHOLD PULSES;

FUNCTIONAL ELECTRIC STIMULATION;

EID: 0343826591     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0960-0779(99)00094-6     Document Type: Article

References (35)

1. Waldo AL, Wit AL. Mechanisms of cardiac arrhythmias. Lancet 1993;341:1189.
2. Elsherif N. In: Zipes DP, Jalife J, editors. Cardiac electrophysiology - from cell to bedside. W.B., Philadelphia, 1995.
3. Pumir P, Krinsky VI. How does an electric field defibrillate cardiac muscle?. Physica D 1996;91:205.
4. Biktaskev VN. In: Panfilov AV, Holden AV, editors. Computational biology of the heart. New York: Wiley, 1997. p. 137.
5. Steinbock O, Schütze J, Müller SC. Electric-field induced drift and deformation of spiral waves in an excitable medium. Phys Rev Lett 1992;68:248.
6. Agladze KI, De Kepper P. Influence of electric field on rotating spiral waves in the Belousov-Zhabotinsky reaction. J Phys Chem 1992;96:5239.
7. Muñuzuri AP, Gömez-Gesteira M, Pérez-Muñuzuri V, Pérez-Villar V. Mechanism of the electric-field-induced vortex drift in excitable media. Phys Rev E 1993;48:3232.
8. Mikhailov AS. Foundations of synergetics I. Berlin: Springer, 1990.
9. Agladze KI, Davydov VA, Mikhailov AS. An observation of resonance of spiral waves in distributed excitable medium. Sov Phys JETP Lett 1987;54:767.
10. Davydov VA, Mikhailov AS, Zykov VS. Kinematical theory of autowaves patterns in excitable media. In: Engelbrecht Y, editor. Nonlinear waves in active media. Berlin: Springer, 1989. pp. 261-79.
11. Muñuzuri AP, Gómez-Gesteira M, Pérez-Muñuzuri V, Krinsky VI, Pérez-Villar V. Parametric resonance of a vortex in an active medium. Phys Rev E 1994;50:4258.
12. Biktashev VN, Holden AV. Resonant drift of autowave vortices in a bounded medium. Phys Lett A 1993;181:216.
13. Biktashev VN, Holden AV. Design principles of a low voltage cardiac defibrillation based on the effect of feedback resonant drift. J Theor Biol 1994;169:101.
14. Krinsky VI, Agladze KI. Interaction of rotating waves in an active chemical medium. Physica D 1983;8:50.
15. Krinsky VI, Plaza F, Voignier V. Quenching a rotating vortex in an excitable medium. Phys Rev E 1995;52(3):2458.
16. Winfree AT. Sudden cardiac death - a problem in topology?. Sci Am 1983;248(5):118.
17. Glass L, Josephson ME. Resetting and annihilation of reentrant abnormally rapid heartbeat. Phys Rev Lett 1995;75:2059.
18. Nomura T, Glass L. Entrainment and termination of reentrant wave propagation in a periodically stimulated ring of excitable media. Phys Rev E 1996;53:6353.
19. Bélair J, Glass L. Universality and self-similarity in the bifurcations of circle maps. Physica D 1985;16.
20. Glass L, Guevara M, Bélair J, Shrier A. Global bifurcations of a periodically forced biological oscillator. Phys Rev A 1984;29:3.
21. Guevara M, Glass L, Shrier A. Phase locking, period doubling bifurcations and irregular dynamics in periodically stimulated cardiac cells. Science 1981;214:18.
22. Pérez-Muñuzuri V, Muñuzuri AP, Gómez-Gesteira M, Pérez-Villar V, Pivka V, Chua LO. Nonlinear waves, patterns and spatiotemporal chaos in cellular neural networks. Phil Trans R Soc Lond A 1995;353:101.
23. Madan RN, World scientific series of nonlinear sciences, series B1. Singapore: World Scientific, 1993.
24. Chai WW, Chua LO. Application of kronecker products to the analysis of systems with uniform linear coupling. IEEE Trans on Circ and Syst I 1995;42(10):775.
25. Keener JP. Propagation and its failure in coupled systems of discrete excitable media. SIAM J Appl Math 1987;47:556.
26. Keener JP. The effects of discrete gap junction coupling on propagation in myocardium. J Theor Biol 1991; 148:49.
27. Pérez-Muñuzuri V, Pérez-Villar V, Chua LO. Propagation failure in linear arrays of Chua's circuits. Int J Bif and Chaos 1992;2:403.
28. Brugada J, Boersma L, Kirchhof C, Allessie M. Anostropia y taquicardia ventricular por reentrada: modelo experimental en el corazon aislado de conejo. Circulation 1990;81:1633.
29. Allessie MA, Schalij MJ, Kirchhof Ch. et al. Experimental electrophysiology and arrhymogenicity: anisotropy and ventricular tachycardia. Eur Heart J 1989;10(Suppl E):8.
30. deCastro M, Gómez-Gesteria M, Pérez-Villar V. Influence of the distance on the interaction between an autonomous pacemaker and a reentry. Phys Rev E 1998;57(1):949.
31. deCastro M, Pérez-Muñuzuri V, Mariño IP, Gómez-Gesteira M, Chua LO, Pérez-Villar V. Interaction of reentries in coupled parallel fibers. Int J Bif and Chaos 1996;6(9):1725.
32. Mariño IP, deCastro M, Pérez-Muñzuri V, Gómez-Gesteira M, Chua LO, Pérez-Villar V. Study of reentry initiation in coupled parallel fibers. IEEE Trans on Circuits and Syst 1995;42(10):665.
33. Balakhovsky IS. Several modes of excitation movement in ideal excitable tissue. Biofizika 1965;10:1063.
34. van Capelle FJL, Durrer D. Computer simulation of arrhythnias in a network of coupled excitable elements. Circ Res 1980;47:454.
35. Jalife J, Antzelevitch C. Science 1979;206(9):695.