Two mechanisms of spiral-pair-source creation in excitable media

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 373, Issue 20, 2009, Pages 1762-1767

  Biton, Y ^a   Rabinovitch, A ^a   Aviram, I ^a   Braunstein, D ^b  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b SAMI SHAMOON COLLEGE OF ENGINEERING   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

FLIP FLOP CIRCUITS;

CONVERGENT LENS; EXCITABLE MEDIA; EXCITABLE MEDIUM; GEOMETRICAL STRUCTURE; HEART TISSUES; REACTION SUBSTRATES; SINGLE WAVES; SPIRAL PAIRS;

ARTIFICIAL HEART;

EID: 77950594628     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2009.03.030     Document Type: Article

References (30)

1. See e.g. A. T. Winfree, Geometry of Biological Time, 2nd ed., Springer-Verlag, 2001.
2. L. Glass, P. Hunter, A. McCulloch (Eds.), Theory of the Heart-Biomechanics, Biophysics and Nonlinear Dynamics of Cardiac Function, Springer-Verlag, NY, 1991.
3. M. I. Rabinovich, P. Varona, A. I. Selverston, H. D. I. Abarbanel, Rev. Mod. Phys. 78 (2006) 1213.
4. M. Voslar, I. Schreiber, Phys. Rev. E 69 (2004) 026210.
5. S. Sawai, P. A. Thomason, E. C. Cox, Nature 433 (2005) 325.
6. A. Lemarchand, B. Nowakowski, J. Phys. Condens. Matter 19 (2007) 065130.
7. A. Provata, I. M. Sokolov, B. Spagnolo, Eur. Phys. J. B 65 (2008) 307.
8. M. P. Mortell, R. E. OMalley, A. Pokrovskii, V. A. Sobolev, J. Phys. Conf. Ser. 55 (2006) 1.
9. See e.g. B. Wohlfart, G. Ohlen, Clinical Physiol. 19 (1999) 11.
10. C. F. Starmer, A. A. Lastra, W. Nesterenko, A. O. Grant, Circulation 84 (1991) 1364.
11. C. Cabo, A. M. Pertsov, J. M. Davidenko, W. T. Baxter, R. A. Gray, J. Jalife, Biophys. J. 70 (1996) 1105.
12. C. Cabo, A. M. Pertsov, J. M. Davidenko, J. Jalife, Chaos 8 (1998) 116.
13. See e.g. M. Wellner, O. Berenfeld, Theory of reentry, in: Saunders, Cardiac Electrophysiology: From Cell to Bedside, 4th ed., 2004, p. 317, especially notice Fig. 35-5 there.
14. A. Rabinovitch, M. Gutman, Y. Biton, I. Aviram, D. S. Rosenbaum, Phys. Rev. E 74 (2006) 061904.
15. D. Nekhamkina, M. Sheintuch, Phys. Rev. E 75 (2007) 056210
16. See also V. M. Eguiluz, E. Hernandez-Garsia, O. Piro, Physica A 283 (2000) 48.
17. T. R. Chigwada, P. Parmanada, K. Showalter, Phys. Rev. Lett. 96 (2006) 244101.
18. R. A. Gray, J. Jalife, A. Panfilov, W. T. Baxter, C. Cabo, J. M. Davidenko, A. M. Petrov, Circulation 91 (1995) 2454.
19. I. Banville, R. A. Gray, R. E. Idekar, W. M. Smith, Circulation Res. 85 (1999) 742.
20. S. Iravanian, Y. Nabutovsky, C. R. Kong, S. Saha, N. Bursac, L. Tung, Am. J. Physiol. Heart Circ. Physiol. 285 (2003) H449.
21. E. J. Ciaccio, J. Coromilas, C. A. Costeas, A. L. Wit, J. Cardiovas. Elect. 15 (2004) 1293.
22. J. M. de Bakker, M. Stein, H. M. Van Rijen, Heart Rhythm 2 (2005) 777;
23. Also, J. M. de Bakker, H. M. Van Rijen, J. Cardiovas. Electrophys. 17 (2006) 567.
24. H. W. J. Kirsten, T. Tusschner, A. V. Panfilov, Europace 9 (2007) vi38.
25. See e.g. E. M. Izhikevich, Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting, MIT Press, Cambridge, 2007.
26. K. Kaly-Kullai, L. Roszol, A. Volford, Chem. Phys. Lett. 414 (2005) 326.
27. Ref. [14] and M. Fialkovski, A. Bitner, B. A. Grzybowski, Phys. Rev. Lett. 94 (2005) 018303.
28. T. Tsujikawa, T. Nagai, M. Mimura, R. Kobayashi, H. Ikeda, Jpn. J. Appl. Math. 6 (1989) 341.
29. A. S. Mikhailov, V. A. Davydov, V. S. Zykov, Physica D 70 (1994) 1.
30. A. Rabinovitch, Y. Biton, M. Gutman, I. Aviram, Comput. Biol. Medicine, in press.