Non-meanfield deterministic limits in chemical reaction kinetics

Journal of Chemical Physics

Volumn 124, Issue 23, 2006, Pages

  Lee DeVille, R E ^a   Muratov, Cyrill B ^b   Vanden Eijnden, Eric ^a  

^a NEW YORK UNIVERSITY   (United States)

^b NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; MONTE CARLO METHODS; NUMERICAL ANALYSIS; REACTION KINETICS;

INTRINSIC FLUCTUATIONS; NON-MEANFIELD DETERMINISTIC LIMITS; SCHNAKENBERG REACTION;

CHEMICAL REACTIONS;

EID: 33745420598     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2217013     Document Type: Article

References (21)

1. E. M. Lifshits and L. P. Pitaevskii, Physical Kinetics (Pergamon Press, Oxford, 1981).
2. C. W. Gardiner, Handbook of Stochastic Methods (Springer-Verlag, Berlin, 1985).
3. A. Shwartz and A. Weiss, Large Deviations for Performance Analysis (Chapman and Hall, London, 1995).
4. A. S. Pikovsky and J. Kurths, Phys. Rev. Lett. 78, 775 (1997).
5. B. Lindner, J. Garcia-Ojalvo, A. Neiman, and L. Schimansky-Geier, Phys. Rep. 392, 321 (2004).
6. M. I. Freidlin, Stochastics Dyn. 1, 261 (2001).
7. M. I. Freidlin, J. Stat. Phys. 103, 283 (2001).
8. C. B. Muratov, E. Vanden Eijnden, and W. E, Physica D 210, 227 (2005).
9. R. E. L. DeVille, E. Vanden Eijnden, and C. B. Muratov, Phys. Rev. E 72, 031105 (2005).
10. M. I. Freidlin and A. D. Wentzell, Random Perturbations of Dynamical Systems (Springer, New York, 1984).
11. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
12. T. Wellens, V. Shatokhin, and A. Buchleitner, Rep. Prog. Phys. 67, 45 (2004).
13. D. T. Gillespie, J. Comput. Phys. 22, 403 (1976).
14. D. T. Gillespie, J. Stat. Phys. 16, 311 (1977).
15. J. Schnakenberg, Rev. Mod. Phys. 48, 571 (1976).
16. J. A. White, J. T. Rubinstein, and A. R. Kay, Trends Neurosci. 23, 131 (2000).
17. J. M. G. Vilar, H. Y. Kueh, N. Barkai, and S. Leibler, Proc. Natl. Acad. Sci. U.S.A. 99, 5988 (2002).
18. J. Paulsson, Nature (London) 427, 415 (2004).
19. J. Schnakenberg, J. Theor. Biol. 81, 389 (1979).
20. A. Goldbeter, Biochemical Oscillations and Cellular Rhythms (Cambridge Univ. Press, Cambridge, 1996).
21. R. E. L. DeVille, C. B. Muratov, and E. Vanden Eijnden (in preparation).