Dynamics of spiral pairs induced by unidirectional propagating pulses

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A. Rabinovitch,¹ M. Gutman,¹ Y. Biton,¹ I. Aviram,² and D. S. Rosenbaum³
¹Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel
²35, Shederot Yeelim, Beer-Sheva, 84730, Israel
³Heart & Vascular Research Center, Case Western Reserve University, Metrohlth Campus, 2500 Metrohlth Drive, Hamman 322, Cleveland, Ohio 44109, USA

Received 27 June 2006; revised 5 September 2006; published 12 December 2006

Thedynamics of unidirectionally propagating pulses in a two-dimensional uniform excitablereaction-diffusion medium is investigated. It is shown that under weakdiffusion coupling between medium points such a pulse can evolveinto a pair of counter-rotating spirals (spiral pair). We analyzethe drift of such a pair and examine the collisionsbetween several drifting pairs. It is demonstrated that collisions canresult in a special type of reflection or, alternatively, innew types of complex stationary spiral structures. A possible applicationof these findings for the diagnosis of cardiac arrhythmias issuggested.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.74.061904
DOI:	10.1103/PhysRevE.74.061904
PACS:	87.19.Hh; 87.10.+e; 89.75.Kd 87.19.Hh Cardiac dynamics 87.10.+e General theory and mathematical aspects (biological/medical physics) 89.75.Kd Patterns YEAR: 2006
KEYWORDS:	reaction-diffusion systems, collision processes, cardiology, patient diagnosis

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I. N. Motoike, K. Yoshikawa, Y. Iguchi, and S. Nakata, Phys. Rev. E 63, 036220 (2001).
I. Sendina-Nadal, M. de Castro, F. Sagues, and M. G. Gesteira, Phys. Rev. E 66, 016215 (2002).
M. Friedman, I. E. Ovsyshcher, I. Fleidervish, E. Crystal, and A. Rabinovitch, Phys. Rev. E 70, 041903 (2004).
Y. Horikawa, Phys. Rev. E 50, 1708 (1994);
I. Schebesch and H. Engel, Phys. Rev. E 60, 6429 (1999).
I. S. Aranson and L. M. Pismen, Phys. Rev. Lett. 84, 634 (2000).
R. M. Zaritski and A. M. Pertsov, Phys. Rev. E 66, 066120 (2002).
C. Zemlin, K. Mukund, M. Wellner, R. Zaritsky, and A. Pertsov, Phys. Rev. Lett. 95, 098302 (2005).
M. Ruiz-Villarreal, M. Gómez-Gesteira, and V. Pérez-Villar, Phys. Rev. Lett. 78, 779 (1997).
P. Chen, A. Garfinkel, J. N. Weiss, and H. S. Karagueuzian, Chaos 8, 127 (1998).