Stimulation of unidirectional pulses in excitable systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 70, Issue 4, 2004, Pages 7-

  Friedman, M ^a   Ovsyshcher, I E ^b   Fleidervish, I ^b   Crystal, E ^b   Rabinovitch, A ^b  

^a NUCLEAR RESEARCH CENTER NEGEV   (Israel)

^b BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BLOOD; BOUNDARY CONDITIONS; DIFFUSION; ELECTRIC CONDUCTIVITY; ELECTRIC CURRENTS; FUNCTIONS; LIGHTING; TISSUE; WAVE PROPAGATION;

EXCITABLE SYSTEMS; REACTION-DIFFUSION SYSTEMS; TACHYCARDIA SUPPRESSIONS; UNIDIRECTIONAL PULSES;

BIOELECTRIC POTENTIALS;

ACTION POTENTIAL; ANIMAL; ARTICLE; BIOLOGICAL MODEL; CARDIOVERSION; COMPUTER SIMULATION; ELECTROSTIMULATION; EVALUATION; HEART; HEART MUSCLE CONDUCTION SYSTEM; HEART PACING; HEART RATE; HUMAN; METHODOLOGY; PATHOPHYSIOLOGY; TACHYCARDIA;

ACTION POTENTIALS; ANIMALS; CARDIAC PACING, ARTIFICIAL; COMPUTER SIMULATION; ELECTRIC COUNTERSHOCK; ELECTRIC STIMULATION; HEART; HEART CONDUCTION SYSTEM; HEART RATE; HUMANS; MODELS, CARDIOVASCULAR; MODELS, NEUROLOGICAL; TACHYCARDIA;

EID: 37649030910     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.041903     Document Type: Article

References (39)

1. For example, A. T. Winfree, When Time Breaks Down (Princeton University Press, Princeton, NJ, 1987).
2. D. Noble, The Initiation of the Heartbeat (Clarendon, Oxford, 1979).
3. J. J. B. Jack, D. Noble, and R. W. Tsein, Electric Current Flow in Excitable Cells (Clarendon, Oxford, 1983).
4. L. Glass, Phys. TodayPHTOAD0031-922810.1063/1.881510 49 (9), 40 (1996).
5. Theory of the Heart: Biomechanics, Biophysics and Nonlinear Dynamics of Cardiac Function, edited by L. Glass, P. J. Hunter, and A. McCulloch (Springer, New York, 1991).
6. For reviews, see, e.g., M. C. Cross and P. C. Hoenberg, Rev. Mod. Phys.RMPHAT0034-686110.1103/RevModPhys.65.851 65, 851 (1993).
7. V. A. Vasiliev, Yu. M. Romanovskii, D. S. Chernavskii, and V. G. Yakhno, Autowave Processes in Kinetic Systems (Reidel, Dordrecht, 1987).
8. H. R. Karfunkel and F. F. Seelig, J. Math. Biol.JMBLAJ0303-6812 2, 123 (1975).
9. For recent references, see L. Glass and M. E. Josephson, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.75.2059 75, 2059 (1995);
10. T. Nomura and L. Glass, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.53.6353 53, 6353 (1996).
11. For example, A. T. Winfree, Nature (London)NATUAS0028-083610.1038/371233a0 371, 233 (1994).
12. For example, Y. Zhou and J. Bell, Math. Biosci.MABIAR0025-556410.1016/0025-5564(94)90075-2 119, 169 (1994), and references therein.
13. A. Vinet and F. A. Roberge, Ann. Biomed. Eng.ABMECF0090-6964 22, 568 (1994).10.1007/BF02368285
14. See, e.g., E. Ohta, Y. Hayase, and R. Kobayashi, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.54.6074 54, 6074 (1996).
15. A. Toth and K. Showalter J. Chem. Phys.JCPSA60021-960610.1063/1.469732 103, 2058 (1995);
16. T. Ichino, Y. Igarashi, I. N. Motoike, and K. Yoshikawa, J. Chem. Phys.JCPSA60021-960610.1063/1.1565103 118, 8185 (2003), and references therein.
17. K. Agladze, R. R. Aliev, T. Yamaguchi, and K. Yoshikawa, J. Phys. Chem.JPCHAX0022-3654 100, 13?895 (1996).
18. I. Motoike and K. Yoshikawa, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.59.5354 59, 5354 (1999).
19. I. N. Motoike, K. Yoshikawa, Y. Iguchi, and S. Nakata, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.63.036220 63, 036220 (2001).
20. I. Sendina-Nadal, M. de Castro, F. Sagues, and M. Gomez-Gesteira, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.66.016215 66, 016215 (2002).
21. A. Toth, D. Horvath, and K. Yoshikawa, Chem. Phys. Lett.CHPLBC0009-261410.1016/S0009-2614(01)00903-4 345, 471 (2001).
22. R. FitzHugh, in Biological Engineering, edited by H. P. Schwan (McGraw-Hill, New York, 1969).
23. R. E. Ideker, P. D. Wolf, and A. S. L. Tang, in Defibrillation of the Heart: ICD’s, AED’s and Manual, edited by W. A. Tacker (Mosby Inc., St. Louis, MO, 1994).
24. J. L. Jones, in Ref.
25. R. M. Shaw and Y. Rudy, J. Cardiovasc. Electrophysiol.JCELE21045-3873 6, 115 (1995);10.1111/j.1540-8167.1995.tb00763.x
26. W. Quan and Y. Rudy, Circ. Res.CIRUAL0009-7330 62, 367 (1990).
27. J. Starobin, Y. I. Zilberter, and C. F. Starmer, Physica DPDNPDT0167-278910.1016/0167-2789(94)90069-8 70, 321 (1994).
28. A. Rabinovitch, I. Aviram, N. Gulko, and I. E. Ovsyshcher, J. Theor. Biol.JTBIAP0022-519310.1006/jtbi.1998.0824 196, 141 (1999).
29. G. R. Mines, Trans. R. Soc. Can. 8, 43 (1914).
30. N. El-Sheriff, in Cardiac Electrophysiology from Cell to Bedside, 2nd ed., edited by D. P. Zipes and J. Jalife (Saunders, Philadelphia, 1995), pp. 567ff.
31. S. Sinha and D. J. Christini, in Ref.;
32. W. G. Stevenson, H. Kahn, P. Sager, L. A. Saxon, H. R. Middlehauff, P. D. Netterson, and I. Wiener, CirculationCIRCAZ0009-7322 88, 1647 (1993).
33. N. El-Sheriff, in Cardiac Electrophysiology and Arrhythmias, edited by D. P. Zipes and J. Jalife (Grune and Stratton, New York, 1985), pp. 363ff.
34. H. Gonzales, Y. Nagai, G. Bub, L. Glass, and A. Shrier, BioSystemsBSYMBO0303-2647 71, 71 (2003).10.1016/S0303-2647(03)00111-4
35. Such a mechanism might be the one responsible for the reentry seen in the simulated ischemia experiments reported by A. Lukas and C. Antzelevitch, Cardiovasc. Res.CVREAU0008-6363 32, 593 (1996).
36. For the ablation recount see A. H. Harken, Sci. Am.SCAMAC0036-8733 269(1), 68 (1993).
37. See the treatment sections in Ref.
38. Reference, Fig. 13.
39. A. Rabinovitch and I. E. Ovsyshcher, U.S. Patent No. 6,463,330 B1 (8 October 2002).