Number fluctuations and the threshold model of kinetic switches

Chemical Physics

Volumn 284, Issue 1-2, 2002, Pages 469-479

  Metzler, Ralf ^a,b   Wolynes, Peter G ^c  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b NORDITA   (Denmark)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ECOSYSTEM; KINETICS; MATHEMATICAL ANALYSIS; POPULATION DYNAMICS; PROBABILITY;

EID: 0036829893     PISSN: 03010104     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0301-0104(02)00674-2     Document Type: Article

References (28)

1. L.D. Landau, E.M. Lifshitz, Statistical Physics, Pergamon Press, London, 1958; J.E. Leffler, E. Grunwald, Rates and Equilibria of Organic Reactions, Wiley, New York, 1963; J.P. Keener, J. Sneyd, Mathematical Physiology, Springer, New York, 1998.
2. L.D. Landau, E.M. Lifshitz, Statistical Physics, Pergamon Press, London, 1958; J.E. Leffler, E. Grunwald, Rates and Equilibria of Organic Reactions, Wiley, New York, 1963; J.P. Keener, J. Sneyd, Mathematical Physiology, Springer, New York, 1998.
3. L.D. Landau, E.M. Lifshitz, Statistical Physics, Pergamon Press, London, 1958; J.E. Leffler, E. Grunwald, Rates and Equilibria of Organic Reactions, Wiley, New York, 1963; J.P. Keener, J. Sneyd, Mathematical Physiology, Springer, New York, 1998.
4. N.G. van Kampen, Stochastic Processes in Physics and Chemistry, North-Holland, Amsterdam, 1981.
5. M. Lax, Rev. Mod. Phys. 38 (1966) 359; Rev. Mod. Phys. 38 (1966) 541.
6. M. Lax, Rev. Mod. Phys. 38 (1966) 359; Rev. Mod. Phys. 38 (1966) 541.
7. D.R. Cox, H.D. Miller, The Theory of Stochastic Processes, Methuen, London, 1965; N.S. Goel, N. Richter-Dyn, Stochastic Models in Biology, Academic Press, New York, 1974; N.T.J. Bailey, The Elements of Stochastic Processes With Applications to the Natural Sciences, Wiley, New York, 1964; S. Karlin, J.L. McGregor, Trans. Amer. Math. Soc. 86 (1957) 366; J.W. Haus, K.W. Kehr, Phys. Rep. 150 (1987) 263.
8. D.R. Cox, H.D. Miller, The Theory of Stochastic Processes, Methuen, London, 1965; N.S. Goel, N. Richter-Dyn, Stochastic Models in Biology, Academic Press, New York, 1974; N.T.J. Bailey, The Elements of Stochastic Processes With Applications to the Natural Sciences, Wiley, New York, 1964; S. Karlin, J.L. McGregor, Trans. Amer. Math. Soc. 86 (1957) 366; J.W. Haus, K.W. Kehr, Phys. Rep. 150 (1987) 263.
9. D.R. Cox, H.D. Miller, The Theory of Stochastic Processes, Methuen, London, 1965; N.S. Goel, N. Richter-Dyn, Stochastic Models in Biology, Academic Press, New York, 1974; N.T.J. Bailey, The Elements of Stochastic Processes with Applications to the Natural Sciences, Wiley, New York, 1964; S. Karlin, J.L. McGregor, Trans. Amer. Math. Soc. 86 (1957) 366; J.W. Haus, K.W. Kehr, Phys. Rep. 150 (1987) 263.
10. D.R. Cox, H.D. Miller, The Theory of Stochastic Processes, Methuen, London, 1965; N.S. Goel, N. Richter-Dyn, Stochastic Models in Biology, Academic Press, New York, 1974; N.T.J. Bailey, The Elements of Stochastic Processes With Applications to the Natural Sciences, Wiley, New York, 1964; S. Karlin, J.L. McGregor, Trans. Amer. Math. Soc. 86 (1957) 366; J.W. Haus, K.W. Kehr, Phys. Rep. 150 (1987) 263.
11. D.R. Cox, H.D. Miller, The Theory of Stochastic Processes, Methuen, London, 1965; N.S. Goel, N. Richter-Dyn, Stochastic Models in Biology, Academic Press, New York, 1974; N.T.J. Bailey, The Elements of Stochastic Processes With Applications to the Natural Sciences, Wiley, New York, 1964; S. Karlin, J.L. McGregor, Trans. Amer. Math. Soc. 86 (1957) 366; J.W. Haus, K.W. Kehr, Phys. Rep. 150 (1987) 263.
12. m) = 0 whereas for m > n, the factorial in the denominator diverges: (-m)! → ∞.
13. H. Risken, The Fokker-Planck Equation, Springer, Berlin, 1989.
14. J.N. Onuchic, J. Wang, P.G. Wolynes, Chem. Phys. 247 (1999) 175.
15. M. Ptashne, A Genetic Switch: Phage λ and Higher Organisms, Cell Press/Blackwell, Cambridge MA, 1992.
16. H.H. McAdams, A. Arkin, Trends Genet. 15 (1999) 65; Proc. Natl. Acad. Sci. USA 94 (1997) 814; D.L. Cook, L.N. Gerber, S.J. Tapscott, Proc. Natl. Acad. Sci. USA. 95 (1998) 6750; A. Arkin, J. Ross, H.H. McAdams, Genetics 149 (1998) 1633; H.H. McAdams, A. Arkin, Ann. Rev. Biophys. Biomol. 27 (1998) 199.
17. H.H. McAdams, A. Arkin, Trends Genet. 15 (1999) 65; Proc. Natl. Acad. Sci. USA 94 (1997) 814; D.L. Cook, L.N. Gerber, S.J. Tapscott, Proc. Natl. Acad. Sci. USA. 95 (1998) 6750; A. Arkin, J. Ross, H.H. McAdams, Genetics 149 (1998) 1633; H.H. McAdams, A. Arkin, Ann. Rev. Biophys. Biomol. 27 (1998) 199.
18. H.H. McAdams, A. Arkin, Trends Genet. 15 (1999) 65; Proc. Natl. Acad. Sci. USA 94 (1997) 814; D.L. Cook, L.N. Gerber, S.J. Tapscott, Proc. Natl. Acad. Sci. USA. 95 (1998) 6750; A. Arkin, J. Ross, H.H. McAdams, Genetics 149 (1998) 1633; H.H. McAdams, A. Arkin, Ann. Rev. Biophys. Biomol. 27 (1998) 199.
19. H.H. McAdams, A. Arkin, Trends Genet. 15 (1999) 65; Proc. Natl. Acad. Sci. USA 94 (1997) 814; D.L. Cook, L.N. Gerber, S.J. Tapscott, Proc. Natl. Acad. Sci. USA. 95 (1998) 6750; A. Arkin, J. Ross, H.H. McAdams, Genetics 149 (1998) 1633; H.H. McAdams, A. Arkin, Ann. Rev. Biophys. Biomol. 27 (1998) 199.
20. H.H. McAdams, A. Arkin, Trends Genet. 15 (1999) 65; Proc. Natl. Acad. Sci. USA 94 (1997) 814; D.L. Cook, L.N. Gerber, S.J. Tapscott, Proc. Natl. Acad. Sci. USA. 95 (1998) 6750; A. Arkin, J. Ross, H.H. McAdams, Genetics 149 (1998) 1633; H.H. McAdams, A. Arkin, Ann. Rev. Biophys. Biomol. 27 (1998) 199.
21. R. Metzler, Phys. Rev. Lett. 87 (2001) 068103.
22. M.S.H. Ko, H. Nakauchi, N. Takahashi, EMBO J. 9 (1990) 2835; M.S.H. Ko, J. Theor. Biol. 153 (1991) 181; BioEssays 14 (1992) 341.
23. M.S.H. Ko, H. Nakauchi, N. Takahashi, EMBO J. 9 (1990) 2835; M.S.H. Ko, J. Theor. Biol. 153 (1991) 181; BioEssays 14 (1992) 341.
24. M.S.H. Ko, H. Nakauchi, N. Takahashi, EMBO J. 9 (1990) 2835; M.S.H. Ko, J. Theor. Biol. 153 (1991) 181; Bioessays 14 (1992) 341.
25. J. Peccoud, B. Ycart, Theor. Popul. Biol. 48 (1995) 222.
26. W. Bialek, cond-mat/0005235; E. Aurell, S. Brown, J. Johanson, K. Sneppen, cond-mat/0010286.
27. W. Bialek, cond-mat/0005235; E. Aurell, S. Brown, J. Johanson, K. Sneppen, cond-mat/0010286.
28. R. Metzler, J. Klafter, Phys. Rep. 339 (2000) 1.