The lysogeny/lysis switch and entropies of stationary states in λ phage

Feng Wei; Ding Hui; Lin Hao; Luo Liao-Fu

doi:10.7498/aps.61.168701

Abstract

The system of Escherichia coli infected by λ phage is one of the templates for quantitative study of regulated networks. In this article, according to the characteristics of the interactions between operators and regulators, the probabilities of regulators binding to operators are described by thermodynamic partition function. On the basis of bifurcation analysis of this regulated network, the entropies of stationary states are calculated. Results show that the entropies of both lysogenic state and lytic state are lower than those of saddle-point and bifurcation point states. Moreover, we find that the lysogenic state has lower entropy than lytic state, which proves that the lysogenic state has a higher biological order.

Keywords:

Authors and contacts

1.
Key Laboratory for Neuro Information of Ministry of Education, Center of Bioinformatics, School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu 610054, China;
2.
Laboratory of Theoretical Biophysics, School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11047180, 90403010, 200408020102) and the Scientific Research Startup Foundation of University of Electronic Science and Technology of China.

References

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[2]	Ackers G K, Johnson A D, Shea M A 1982 Proc. Natl. Acad. Sci. U. S. A. 79 1129
[3]	Shea M A, Ackers G K 1985 J. Mol. Biol. 181 211
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[13]	Li R, Yan P L, Chen J, Li J, Li J, Zhang K W, Zhong J X 2009 Acta Phys. Sin. 58 6703 (in Chinese) [李蓉, 颜平兰, 陈健, 李俊, 李金, 张凯旺, 钟建新 2009 物理学报 58 6703]
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[15]	Lou C B, Yang X J, Liu X L, He B, Ouyang Q 2007 Biophys. J. 92 2685
[16]	Wang S Y, Zhang Y P, Ouyang Q 2006 Phys. Rev. E 73 041922
[17]	Gedeon T, Mischaikow K, Patterson K, Traldi E 2008 Biophys. J. 94 3384
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[19]	Werner M, Aurell E 2009 Phys. Biol. 6 046007
[20]	Avlund M, Krishna S, Semsey S, Dodd I B, Sneppen K 2010 PLoS One 5 e15037
[21]	Cao Y, Lu H M, Liang J 2010 Proc. Natl. Acad. Sci. U. S. A. 107 18445
[22]	Joh R I, Weitz J S 2011 PLOS Comput. Biol. 7 e1002006
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[24]	Lehninger A L 1982 Principles of Biochemistry (Delhi: CBS Publishers and Distributors)
[25]	Ding H, Luo L 2009 Chin. Phys. Lett. 26 098701
[26]	Ding H, Luo L F, Lin H 2011 Commun. Theor. Phys. 55 371
[27]	Luo L F 2009 Front. Phys. China 4 122
[28]	Stoll G, Rougemont J, Naef F 2006 Bioinformatics 22 2539
[29]	Schrödinger E 1945 What is Life? (Cambridge: Cambridge University Press) p24
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Cited By

[1]	Arkin A, Ross J, McAdams H H 1998 Genetics 149 1633
[2]	Ackers G K, Johnson A D, Shea M A 1982 Proc. Natl. Acad. Sci. U. S. A. 79 1129
[3]	Shea M A, Ackers G K 1985 J. Mol. Biol. 181 211
[4]	Yi M, Jia Y, Liu Q, Zhan X 2008 Acta Phys. Sin. 57 621 (in Chinese) [易鸣, 贾亚, 刘泉, 詹璇 2008 物理学报 57 621]
[5]	Aurell E, Brown S, Johanson J, Sneppen K 2002 Phys. Rev. E 65 051914
[6]	Santillan M, Mackey M C 2004 Biophys. J. 86 75
[7]	Wan X, Zhou J, Liu Z R 2012 Acta Phys. Sin. 61 010203 (in Chinese) [万茜, 周进, 刘曾荣 2012 物理学报 61 010203]
[8]	Bakk A, Metzler R, Sneppen K 2004 Biophys. J. 86 58
[9]	McAdams H H, Shapiro L 1995 Science 269 650
[10]	Aurell E, Sneppen K 2002 Phys. Rev. Lett. 88 048101
[11]	Tian T, Burrage K 2004 J. Theor. Biol. 227 229
[12]	Liu S B, Wu Y, Hao Z W, Li Y J, Jia N 2012 Acta Phys. Sin. 61 020503 (in Chinese) [刘少宝, 吴莹, 郝忠文, 李银军, 贾宁 2012 物理学报 61 020503]
[13]	Li R, Yan P L, Chen J, Li J, Li J, Zhang K W, Zhong J X 2009 Acta Phys. Sin. 58 6703 (in Chinese) [李蓉, 颜平兰, 陈健, 李俊, 李金, 张凯旺, 钟建新 2009 物理学报 58 6703]
[14]	Zhu X M, Yin L, Hood L, Ao P 2004 Funct. Integr. Genomics 4 188
[15]	Lou C B, Yang X J, Liu X L, He B, Ouyang Q 2007 Biophys. J. 92 2685
[16]	Wang S Y, Zhang Y P, Ouyang Q 2006 Phys. Rev. E 73 041922
[17]	Gedeon T, Mischaikow K, Patterson K, Traldi E 2008 Biophys. J. 94 3384
[18]	Morelli M J, Wolde P R, Allen R J 2009 Proc. Natl. Acad. Sci. U. S. A. 106 8101
[19]	Werner M, Aurell E 2009 Phys. Biol. 6 046007
[20]	Avlund M, Krishna S, Semsey S, Dodd I B, Sneppen K 2010 PLoS One 5 e15037
[21]	Cao Y, Lu H M, Liang J 2010 Proc. Natl. Acad. Sci. U. S. A. 107 18445
[22]	Joh R I, Weitz J S 2011 PLOS Comput. Biol. 7 e1002006
[23]	Nicolis G, Prigogine I 1977 Self-Organization in Nonequilibrium Systems (New York: Wiley Publishing)
[24]	Lehninger A L 1982 Principles of Biochemistry (Delhi: CBS Publishers and Distributors)
[25]	Ding H, Luo L 2009 Chin. Phys. Lett. 26 098701
[26]	Ding H, Luo L F, Lin H 2011 Commun. Theor. Phys. 55 371
[27]	Luo L F 2009 Front. Phys. China 4 122
[28]	Stoll G, Rougemont J, Naef F 2006 Bioinformatics 22 2539
[29]	Schrödinger E 1945 What is Life? (Cambridge: Cambridge University Press) p24
[30]	Luo L F 2010 Sci. Tech. Rev. 28 106 (in Chinese) [罗辽复 2010 科技导报 28 106]

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Vol. 61, Issue 16 - 2012-08-20

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