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The energy pump and the origin of the non-equilibrium flux of the dynamical systems and the networks
Xu, LF; Shi, HL; Feng, HD; Wang, J; Xu, LF (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
2012
发表期刊JOURNAL OF CHEMICAL PHYSICS
ISSN0021-9606
卷号136期号:16页码:165102
摘要The global stability of dynamical systems and networks is still challenging to study. We developed a landscape and flux framework to explore the global stability. The potential landscape is directly linked to the steady state probability distribution of the non-equilibrium dynamical systems which can be used to study the global stability. The steady state probability flux together with the landscape gradient determines the dynamics of the system. The non-zero probability flux implies the breaking down of the detailed balance which is a quantitative signature of the systems being in non-equilibrium states. We investigated the dynamics of several systems from monostability to limit cycle and explored the microscopic origin of the probability flux. We discovered that the origin of the probability flux is due to the non-equilibrium conditions on the concentrations resulting energy input acting like non-equilibrium pump or battery to the system. Another interesting behavior we uncovered is that the probabilistic flux is closely related to the steady state deterministic chemical flux. For the monostable model of the kinetic cycle, the analytical expression of the probabilistic flux is directly related to the deterministic flux, and the later is directly generated by the chemical potential difference from the adenosine triphosphate (ATP) hydrolysis. For the limit cycle of the reversible Schnakenberg model, we also show that the probabilistic flux is correlated to the chemical driving force, as well as the deterministic effective flux. Furthermore, we study the phase coherence of the stochastic oscillation against the energy pump, and argue that larger non-equilibrium pump results faster flux and higher coherence. This leads to higher robustness of the biological oscillations. We also uncovered how fluctuations influence the coherence of the oscillations in two steps: (1) The mild fluctuations influence the coherence of the system mainly through the probability flux while maintaining the regular landscape topography. (2) The larger fluctuations lead to flat landscape and the complete loss of the stability of the whole system. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3703514]
部门归属[Xu, Liufang; Shi, Hualin] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China; [Xu, Liufang; Feng, Haidong; Wang, Jin] SUNY Stony Brook, Dept Chem & Phys, Stony Brook, NY 11794 USA; [Wang, Jin] Chinese Acad Sci, Changchun Inst Appl Chem, State Key Lab Electroanalyt Chem, Changchun 130022, Peoples R China
关键词Yeast-cell Cycle Steady-state Thermodynamics Funneled Landscape Leads Mapk Signal-transduction Chemical-reactions Dissipation Cost Gene-expression Master Equation Robustness Fluctuations
学科领域Physics
资助者National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800]
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收录类别SCI
语种英语
资助者National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800] ; National Science Foundation; National Basic Research Program of China [2007CB814800]
WOS记录号WOS:000303602200045
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被引频次:16[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/15113
专题理论物理所SCI论文
通讯作者Xu, LF (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
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Xu, LF,Shi, HL,Feng, HD,et al. The energy pump and the origin of the non-equilibrium flux of the dynamical systems and the networks[J]. JOURNAL OF CHEMICAL PHYSICS,2012,136(16):165102.
APA Xu, LF,Shi, HL,Feng, HD,Wang, J,&Xu, LF .(2012).The energy pump and the origin of the non-equilibrium flux of the dynamical systems and the networks.JOURNAL OF CHEMICAL PHYSICS,136(16),165102.
MLA Xu, LF,et al."The energy pump and the origin of the non-equilibrium flux of the dynamical systems and the networks".JOURNAL OF CHEMICAL PHYSICS 136.16(2012):165102.
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