Stabilizing Turing patterns with subdiffusion in systems with low particle numbers

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

Volumn 68, Issue 3 2, 2003, Pages 362131-362135

  Weiss, Matthias ^a,b  

^a EUROPEAN MOLECULAR BIOLOGY LABORATORY   (Germany)

^b UNIVERSITY OF SOUTHERN DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

CELL MEMBRANES; DIFFUSION; MATHEMATICAL MODELS; PROBABILITY; SYSTEM STABILITY;

PATTERN FORMATION;

REACTION KINETICS;

EID: 0242411778     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. A.M. Turing, Philos. Trans. R. Soc. London, Ser. B 237, 37 (1952).
2. M.C. Cross and P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
3. V. Petrov, Q. Ouyang, and H.L. Swinney, Nature (London) 388, 655 (1997).
4. M. Falcke and H. Levine, Phys. Rev. Lett. 80, 3875 (1998).
5. A. Gierer and H. Meinhardt, Kybernetik 12, 30 (1972).
6. J.D. Murray, Mathematical Biology, 2nd ed., Biomathematics Texts Vol. 19 (Springer, New York, 1993).
7. M. Howard, A.D. Rutenberg, and S. de Vet, Phys. Rev. Lett. 87, 278102 (2001); H. Meinhardt and P.A.J. de Boer, Proc. Natl. Acad. Sci. U.S.A. 98, 14 202 (2001); K. Kruse, Biophys. J. 82, 618 (2002).
8. M. Howard, A.D. Rutenberg, and S. de Vet, Phys. Rev. Lett. 87, 278102 (2001); H. Meinhardt and P.A.J. de Boer, Proc. Natl. Acad. Sci. U.S.A. 98, 14 202 (2001); K. Kruse, Biophys. J. 82, 618 (2002).
9. M. Howard, A.D. Rutenberg, and S. de Vet, Phys. Rev. Lett. 87, 278102 (2001); H. Meinhardt and P.A.J. de Boer, Proc. Natl. Acad. Sci. U.S.A. 98, 14 202 (2001); K. Kruse, Biophys. J. 82, 618 (2002).
10. M. Howard and A.D. Rutenberg, Phys. Rev. Lett. 90, 128102 (2003).
11. P.O. Saffman and M. Delbrück, Proc. Natl. Acad. Sci. U.S.A. 72, 3111 (1975).
12. M.J. Saxton, Biophys. J. 81, 2226 (2001).
13. M.J. Saxton, J. Chem. Phys. 116, 203 (2002).
14. R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000).
15. T. Geisel and S. Thomae, Phys. Rev. Lett. 52, 1936 (1984).
16. G. Drazer and D.H. Zanette, Phys. Rev. E 60, 5858 (1999).
17. M. Wachsmuth, W. Waldeck, and J. Langowski, J. Mol. Biol. 298, 677 (2000).
18. M. Weiss, H. Hashimoto, and T. Nilsson, Biophys. J. 84, 4043 (2003).
19. P. Schwille, J. Korlach, and W.W. Webb, Cytometry 36, 176 (1999).
20. J. Schnakenberg, J. Theor. Biol. 81, 389 (1979).