Transient and steady state of mass-conserved reaction-diffusion systems

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

Volumn 75, Issue 1, 2007, Pages

  Ishihara, Shuji ^a   Otsuji, Mikiya ^b   Mochizuki, Atsushi ^a  

^a NATIONAL INSTITUTE FOR BASIC BIOLOGY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; CYTOLOGY;

CELL BIOLOGY; MASS CONSERVATION; QUASISTATIONARY STATES; REACTION DIFFUSION SYSTEMS;

DIFFUSION;

EID: 33846684246     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.015203     Document Type: Article

References (20)

1. G. Nicolis and I. Prigogine, Self Organization in Non-Equilibrium Systems (Wiley, New York, 1977).
2. J. D. Murray, Mathematical Biology, 3rd ed. (Springer-Verlag, Berlin, 2002).
3. A. M. Turing, Philos. Trans. R. Soc. London, Ser. B PTRBAE 0962-8436 237, 37 (1952).
4. P. Coullet and G. Iooss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.866 64, 866 (1990).
5. Y. Nishiura and D. Ueyama, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00010-X 130, 73 (1999);
6. Y. Nishiura and D. Ueyama, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00214-1 150, 137 (2001).
7. J. E. Person, Science SCIEAS 0036-8075 216, 189 (1993).
8. K. Kawasaki and T. Ohta, Physica A PHYADX 0378-4371 10.1016/0378-4371(82) 90178-9 116, 573 (1982).
9. S. Ei, Y. Nishiura, and K. Ueda, J. Dyn. Differ. Equ. JDDEEH 1040-7294 10.1023/A:1012980128575 14, 85 (2002).
10. T. Kolokolnikov, M. J. Ward, and J. Wei, Physica D PDNPDT 0167-2789 10.1016/j.physd.2005.02.009 202, 258 (2005).
11. S. Ishihara and K. Kaneko, J. Theor. Biol. JTBIAP 0022-5193 238, 683 (2006).
12. P. C. Matthews and S. M. Cox, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/13/4/317 13, 1293 (2000).
13. K. K. Subramanian and A. Narang, J. Theor. Biol. JTBIAP 0022-5193 231, 49 (2004).
14. M. Otsuji, e-print q-bio.CB/0608025.
15. A. Awazu and K. Kaneko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.258302 92, 258302 (2004).
16. J. Keener and J. Sneyd, Mathematical Physiology (Springer-Verlag, New York, 1998).
17. K. C. Huang, Y. Meir, and N. S. Wingreen, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.2135445100 100, 12724 (2003).
18. M. B. Elowitz, J. Bacteriol. JOBAAY 0021-9193 181, 197 (1999).
19. M. Postma, Mol. Biol. Cell MBCEEV 1059-1524 10.1091/mbc.E03-08-0566 14, 5019 (2003);
20. M. Postma, J. Cell. Sci. JNCSAI 0021-9533 117, 2925 (2004).