Reaction-diffusion dynamics in an oscillatory medium of finite size: Pseudoreflection of waves

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 3 2, 2003, Pages

  Rabinovitch, A ^a   Gutman, M ^a   Aviram, I ^b  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b 35 Shederot Yeelim ^*  (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFUSION; MATHEMATICAL MODELS; MECHANICAL WAVES; OSCILLATIONS; PARTIAL DIFFERENTIAL EQUATIONS; REACTION KINETICS; REFLECTION; WAVE PROPAGATION;

ACTIVATOR; OSCILLATORY MEDIUM; PSEUDOREFLECTION; REACTION DIFFUSION SYSTEM;

DYNAMICS;

EID: 42749098240     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. R. Kapral and K. Showalter, Chemical Waves and Patterns (Kluwer, Dordrecht, 1995).
2. A. T. Winfree, The Timing of Biological Clocks (Scientific American Press, New York, 1987).
3. L. Glass and M. C. Mackey, From Clocks to Chaos: The Rhythms of Life (Princeton University Press, Princeton, NJ, 1988).
4. V. Petrov, S. K. Scott, and K. Showalter, Philos. Trans. R. Soc. London, Ser. A 347, 631 (1994).
5. J. Kosek and M. Marek, Phys. Rev. Lett. 74, 2134 (1995).
6. G. B. Ermentrout and J. Rinzel, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 56, 1107 (1996).
7. O. Aslanidi and O. Mornev, J. Biol. Phys. 25, 149 (1999).
8. M. Argentina, P. Coullet, and V. Krinsky, J. Theor. Biol. 205, 47 (2000).
9. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
10. M. C. Cross and E. Kuo, Physica D 59, 90 (1992).
11. A. Rabinovitch, M. Gutman, and I. Aviram, J. Biol. Phys. 28, 713 (2002).
12. R. FitzHugh, Biophys. J. 1, 445 (1961).
13. A. Rabinovitch et al., J. Theor. Biol. 196, 141 (1999).
14. J. Keener and J. Sneyd, Mathematical Physiology (Springer, New York, 1998), pp. 394ff.
15. A. Rabinovitch and I. Rogatchevskii, Chaos 9, 880 (1999).
16. N. Kopell and G. B. Ermentrout, Commun. Pure Appl. Math. 39, 623 (1986).
17. A. Rabinovitch, M. Gutman, and I. Aviram, Phys. Rev. Lett. 87, 084101 (2001).
18. E. E. Verheijck et al., Circulation 97, 1623 (1998).
19. H. Zhang, A. V. Holden, and M. R. Boyett, Nonlinear Anal. Theory, Methods Appl. 30, 1019 (1997).
20. T. L. Williams, Neural Comput. 4, 546 (1992).