Thermodynamic limit of a nonequilibrium steady state: Maxwell-type construction for a bistable biochemical system

Physical Review Letters

Volumn 103, Issue 14, 2009, Pages

  Ge, Hao ^a   Qian, Hong ^a,b  

^a FUDAN UNIVERSITY   (China)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BASIN OF ATTRACTION; BI-STABILITY; BIOCHEMICAL SYSTEMS; BISTABLES; CHEMICAL MASTER EQUATION; CRITICAL POINTS; DEPHOSPHORYLATIONS; GAUSSIAN FLUCTUATIONS; IN-CELL; INITIAL STATE; LAW OF MASS ACTION; MAXWELL CONSTRUCTION; NON-EQUILIBRIUM STEADY STATE; ONSAGER; SELECTION RULES; STABILITY AND ROBUSTNESS; STEADY STATE; THERMODYNAMIC LIMITS;

CELL MEMBRANES; CYTOLOGY; EQUATIONS OF STATE; MAXWELL EQUATIONS; THERMODYNAMICS;

STOCHASTIC MODELS;

EID: 70349931588     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.103.148103     Document Type: Article

References (39)

1. R. Phillips, J. Kondev, and J. Theriot, Physical Biology of the Cell (Garland Science, New York, 2008);
2. E. Karsenti, Nat. Rev. Mol. Cell Biol. NRMCBP 1471-0072 9, 255 (2008); 10.1038/nrm2357 (Pubitemid 351301833)
3. G. Nicolis and I. Prigogine, Self-Organization in Nonequilibrium Systems: From Dissipative Structures to Order through Fluctuations (Wiley, New York, 1977).
4. M.J. Klein, Phys. Rev. 97, 1446 (1955). PHRVAO 0031-899X 10.1103/PhysRev.97.1446
5. D.J. Evans and D.J. Searles, Adv. Phys. 51, 1529 (2002). ADPHAH 0001-8732 10.1080/00018730210155133 (Pubitemid 35458027)
6. B. Derrida, Phys. Rep. PRPLCM 0370-1573 301, 65 (1998). 10.1016/S0370-1573(98)00006-4
7. P.G. Bergmann and J.L. Lebowitz, Phys. Rev. 99, 578 (1955); PHRVAO 0031-899X 10.1103/PhysRev.99.578
8. D.-Q. Jiang, M. Qian, and M.-P. Qian, Mathematical Theory of Nonequilibrium Steady States, Lect. Notes Math. Vol. 1833 (Springer-Verlag, Berlin, 2004).
9. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. A PLRAAN 1050-2947 38, 364 (1988); 10.1103/PhysRevA.38.364
10. J.R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, London, 1999).
11. C.P. Fall, E.S. Marland, J.M. Wagner, and J.J. Tyson, Computational Cell Biology (Springer-Verlag, New York, 2002).
12. W. Horsthemke and R. Lefever, Noise Induced Transitions (Springer-Verlag, Berlin, 1984).
13. M. Vellela and H. Qian, J. R. Soc. Interface 1742-5689 6, 925 (2009);
14. M. Vellela and H. Qian, Bull. Math. Biol. 69, 1727 (2007). BMTBAP 0092-8240 10.1007/s11538-006-9188-3 (Pubitemid 46955674)
15. L. Onsager and S. Machlup, Phys. Rev. 91, 1505 (1953); PHRVAO 0031-899X 10.1103/PhysRev.91.1505
16. M. Lax, Rev. Mod. Phys. 32, 25 (1960); RMPHAT 0034-6861 10.1103/RevModPhys.32.25
17. J. Keizer, Acc. Chem. Res. 12, 243 (1979). ACHRE4 0001-4842 10.1021/ar50139a004
18. G. Nicolis and R. Lefever, Phys. Lett. A 62, 469 (1977). PYLAAG 0375-9601 10.1016/0375-9601(77)90069-X
19. T.G. Kurtz, J. Chem. Phys. 57, 2976 (1972). JCPSA6 0021-9606 10.1063/1.1678692
20. B.A. Beard and H. Qian, Chemical Biophysics: Quantitative Analysis of Cellular Systems (Cambridge University Press, London, 2008).
21. J. Keizer, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 75, 3023 (1978); 10.1073/pnas.75.7.3023
22. J. Keizer Statistical Thermodynamics of Nonequilibrium Processes (Springer-Verlag, New York, 1987).
23. G. Nicolis and J.W. Turner, Ann. N.Y. Acad. Sci. ANYAA9 0077-8923 316, 251 (1979); 10.1111/j.1749-6632.1979.tb29473.x
24. P. Hänggi, H. Grabert, P. Talkner, and H. Thomas, Phys. Rev. A 29, 371 (1984); PLRAAN 1050-2947 10.1103/PhysRevA.29.371
25. B.J. Matkowsky, Z. Schuss, C. Knessel, C. Tier, and M. Mangel, in Fluctuations and Sensitivity in Nonequilibrium Systems, edited by, W. Horsthemke, and, D.K. Kondepudi, (Springer, New York, 1984);
26. F. Baras, M. Mansour, and J.E. Pearson, J. Chem. Phys. 105, 8257 (1996). JCPSA6 0021-9606 10.1063/1.472679
27. J.E. Ferrell and W. Xiong, Chaos 11, 227 (2001). CHAOEH 1054-1500 10.1063/1.1349894
28. H. Qian and T.C. Reluga, Phys. Rev. Lett. 94, 028101 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.94.028101
29. H. Qian, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 58, 113 (2007). 10.1146/annurev.physchem.58.032806.104550 (Pubitemid 46877587)
30. O.G. Berg, J. Paulsson, and M. Ehrenberg, Biophys. J. 79, 1228 (2000); BIOJAU 0006-3495 10.1016/S0006-3495(00)76377-6
31. J. Elf, J. Paulsson, O.G. Berg, and M. Ehrenberg, Biophys. J. 84, 154 (2003); BIOJAU 0006-3495 10.1016/S0006-3495(03)74839-5
32. J. Paulsson, Phys. Life Rev. 2, 157 (2005). 1571-0645 10.1016/j.plrev.2005.03.003 (Pubitemid 40792434)
33. M.H. Vainstein and J.M. Rubi, Phys. Rev. E PLEEE8 1539-3755 75, 031106 (2007). 10.1103/PhysRevE.75.031106 (Pubitemid 46425498)
34. H. Qian, Proc. R. Soc. A 457, 1645 (2001); PRLAAZ 0080-4630 10.1098/rspa.2001.0811
35. C. Kwon, P. Ao, and D.J. Thouless, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 102, 13029 (2005). 10.1073/pnas.0506347102 (Pubitemid 41324973)
36. R.V. Roy, in Computational Stochastic Mechanics, edited by, A.H.-D. Cheng, and, C.Y. Yang Computational Mechanics Publications (Elsevier, Southampton, UK, 1993), Chap., p. 125.
37. R.B. Laughlin, D. Pines, J. Schmalian, B.P. Stojkovi, and P.G. Wolynes, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 97, 32 (2000). 10.1073/pnas.97.1.32 (Pubitemid 30055779)
38. J.-T. Wang, Nonequilibrium Nondissipative Thermodynamics (Springer, New York, 2002);
39. P. Ao, Commun. Theor. Phys. CTPHDI 0253-6102 49, 1073 (2008). 10.1088/0253-6102/49/5/01