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Xu, LF; Shi, HL; Feng, HD; Wang, J; Xu, LF (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
The energy pump and the origin of the non-equilibrium flux of the dynamical systems and the networks
Source PublicationJOURNAL OF CHEMICAL PHYSICS
Language英语
KeywordYeast-cell Cycle Steady-state Thermodynamics Funneled Landscape Leads Mapk Signal-transduction Chemical-reactions Dissipation Cost Gene-expression Master Equation Robustness Fluctuations
AbstractThe 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]
2012
ISSN0021-9606
Volume136Issue:16Pages:165102
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational 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]
Citation statistics
Cited Times:16[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15113
Collection理论物理所科研产出_SCI论文
Corresponding AuthorXu, LF (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
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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