Controlling cooperativity of a metastable open system coupled weakly to a noisy environment

doi:10.1088/1674-1056/24/2/028702

中国物理B ›› 2015, Vol. 24 ›› Issue (2): 28702-028702.doi: 10.1088/1674-1056/24/2/028702

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Controlling cooperativity of a metastable open system coupled weakly to a noisy environment

Victor I. Teslenko^a, Oleksiy L. Kapitanchuk^a, Zhao Yang^b

a Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 14-b, Metrolohichna Street, Kyiv 03680, Ukraine;
b Division of Materials Science, Nanyang Technological University, 50 Nanyang Ave, Singapore 639798

收稿日期:2014-11-27 修回日期:2014-12-04 出版日期:2015-02-05 发布日期:2015-02-05
基金资助:
Project supported by the National Academy of Sciences of Ukraine (Grant No. 0110U007542) and the National Research Foundation of Singapore through the Competitive Research Programme (Grant No. NRF-CRP5-2009-04).

Controlling cooperativity of a metastable open system coupled weakly to a noisy environment

Victor I. Teslenko^a, Oleksiy L. Kapitanchuk^a, Zhao Yang^b

a Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 14-b, Metrolohichna Street, Kyiv 03680, Ukraine;
b Division of Materials Science, Nanyang Technological University, 50 Nanyang Ave, Singapore 639798

Received:2014-11-27 Revised:2014-12-04 Online:2015-02-05 Published:2015-02-05
Contact: Victor I. Teslenko, Oleksiy L. Kapitanchuk, Zhao Yang E-mail:vtes@bitp.kiev.ua;alkapt@bitp.kiev.ua;yzhao@ntu.edu.sg
Supported by:
Project supported by the National Academy of Sciences of Ukraine (Grant No. 0110U007542) and the National Research Foundation of Singapore through the Competitive Research Programme (Grant No. NRF-CRP5-2009-04).

摘要/Abstract

摘要： The notion of cooperativity comprises a specific characteristic of a multipartite system concerning its ability to demonstrate a sigmoidal-type response of varying sensitivities to input stimuli in transitions between states under controlled conditions. From a statistical physics viewpoint, in this work we attempt to describe the cooperativity by the stability of a metastable open system with respect to irreversibility. To treat the evolution of a system weakly coupled to the environment in a kinetic framework, we consider two fluctuating energy levels of different dimensionalities, initial population of one level, reversible transitions of population between the levels, and irreversible depopulation of another level. An average is made over level fluctuations and environment vibrations so that an inter-level transition rate can be obtained accounting for the influences of external control on level position and dimensionality. It is found that the cooperativity of the two-level system is bounded approximately between 0.736 and unity, with the lower bound indicating worsening system stability.

关键词: metastable open system, nonstationary kinetic processes, irreversibility, energy fluctuations

Abstract: The notion of cooperativity comprises a specific characteristic of a multipartite system concerning its ability to demonstrate a sigmoidal-type response of varying sensitivities to input stimuli in transitions between states under controlled conditions. From a statistical physics viewpoint, in this work we attempt to describe the cooperativity by the stability of a metastable open system with respect to irreversibility. To treat the evolution of a system weakly coupled to the environment in a kinetic framework, we consider two fluctuating energy levels of different dimensionalities, initial population of one level, reversible transitions of population between the levels, and irreversible depopulation of another level. An average is made over level fluctuations and environment vibrations so that an inter-level transition rate can be obtained accounting for the influences of external control on level position and dimensionality. It is found that the cooperativity of the two-level system is bounded approximately between 0.736 and unity, with the lower bound indicating worsening system stability.

Key words: metastable open system, nonstationary kinetic processes, irreversibility, energy fluctuations

中图分类号: (Conformational changes)

87.15.hp

74.40.Gh (Nonequilibrium superconductivity) 05.70.Ln (Nonequilibrium and irreversible thermodynamics)

Victor I. Teslenko, Oleksiy L. Kapitanchuk, Zhao Yang. Controlling cooperativity of a metastable open system coupled weakly to a noisy environment[J]. 中国物理B, 2015, 24(2): 28702-028702.

Victor I. Teslenko, Oleksiy L. Kapitanchuk, Zhao Yang. Controlling cooperativity of a metastable open system coupled weakly to a noisy environment[J]. Chin. Phys. B, 2015, 24(2): 28702-028702.

参考文献 41

[1]	Haldane J B S 1965 Enzymes (Cambridge: MIT Press)
[2]	Dyre J C 2006 Rev. Mod. Phys. 78 953
[3]	Connors K A 1987 Binding Constants: The Measurements of Molecular Complex Stability (New York: Wiley)
[4]	Hobza P and Zahradnik R 1988 Intermolecular Complexes (Amsterdam: Elsevier)
[5]	Hill A V 1910 J. Physiol. 40 4
[6]	Heinrich R and Schuster S 1996 The Regulation of Cellular Systems (New York: Chapman and Hall)
[7]	Pauling L 1935 Proc. Nat. Acad. Sci. 21 186
[8]	Monod J, Wyman J and Chandeux J P 1965 J. Mol. Biol. 12 88
[9]	Koshland Jr D E, Nemethy G and Filmer D 1966 Biochem. 5 365
[10]	Bardsley W G and Childs R E 1975 Biochem. J. 149 313
[11]	Fersht A 1999 Structure and Mechanism in Protein Science: A Guide to Enzyme Catalysis and Protein Folding (New York: Freeman)
[12]	Cornish-Bowden A 2012 Fundamentals of Enzyme Kinetics, 4th edn. (Weinheim: Wiley-VCH)
[13]	Fleming G R and Ratner M 2008 Physics Today July 28
[14]	Lindenberg K and West B J 1990 The Nonequilibrium Statistical Mechanics of Open and Closed Systems (New York: Wiley-VCH)
[15]	Breuer H P and Petruccione F 2002 The Theory of Open Quantum Systems, (Oxford: Oxford University Press)
[16]	Rabitz H 2012 Quant. Phys. Lett. 1 1
[17]	Fayer M D 2001 Ann. Rev. Phys. Chem. 52 315
[18]	Prakash M K and Marcus R A 2007 Proc. Natl. Acad. Sci. USA 104 15982
[19]	Miller M A, Doe J P K and Wales D J 1999 Phys. Rev. E 60 3701
[20]	Levy Y, Jortner J and Berry R S 2002 Phys. Chem. Chem. Phys. 4 5052
[21]	Nitzan A 2006 Chemical Dynamics in Condensed Phases (Oxford, New York: Oxford University Press)
[22]	Teslenko V I and Kapitanchuk O L 2013 Int. J. Mod. Phys. B 27 1350169
[23]	Petrov E G and Teslenko V I 1990 Theor. Math. Phys. 84 986
[24]	Petrov E G, Teslenko V I and Goychuk I A 1994 Phys. Rev. E 49 3894
[25]	Goychuk I and Hanggi P 2005 Adv. Phys. 54 525
[26]	Teslenko V I, Petrov E G, Verkhratsky A and Krishtal O A 2010 Phys. Rev. Lett. 104 178105
[27]	Petrov E G and Teslenko V I 2010 Chem. Phys. 375 243
[28]	Teslenko V I and Kapitanchuk O L 2012 Ukr. J. Phys. 57 573
[29]	Holstein T 1959 Ann. Phys. 8 343
[30]	Wagner M 1986 Unitary Transformations in Solid State Physics (Amsterdam: North-Holland)
[31]	Fong F K 1975 Theory of Molecular Relaxation (New York: Wiley)
[32]	Leggett A J, Chakravarty S, Dorsey A T, Fisher M P A, Garg A and Zwerger W 1987 Rev. Mod. Phys. 59 1
[33]	Horovitz A L and Fersht A R 1990 J. Mol. Biol. 214 613
[34]	Hehl S and Neumcke B 1993 Eur. Biophys. J. 22 1
[35]	Shimizu S and Chan H S 2001 J. Chem. Phys. 115 1414
[36]	Gunawardena J 2014 FEBS J. 281 473
[37]	Gallager R G 1968 Information Theory and Reliable Communication (New York: Wiley)
[38]	Nakajima S 1958 Prog. Theor. Phys. 20 948
[39]	Zwanzig R 1960 J. Chem. Phys. 33 1338
[40]	Zwanzig R 1964 Physica 30 1109
[41]	Petrov E G 2013 Eur. Phys. J. Special Topics 216 205

Controlling cooperativity of a metastable open system coupled weakly to a noisy environment

Controlling cooperativity of a metastable open system coupled weakly to a noisy environment

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