The energy pump and the origin of the non-equilibrium flux of the dynamical systems and the networks

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	The energy pump and the origin of the non-equilibrium flux of the dynamical systems and the networks
	Shi, HL
刊名	JOURNAL OF CHEMICAL PHYSICS
	2012
卷号	136 期号:16 页码:165102
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
ISSN号	0021-9606
通讯作者	Xu, LF (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
英文摘要	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]
学科主题	Physics
收录类别	SCI
资助信息	National Science Foundation; National Basic Research Program of China [2007CB814800]
原文出处	http://dx.doi.org/10.1063/1.3703514
语种	英语
WOS记录号	WOS:000303602200045
公开日期	2014-04-25
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15113]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Shi, HL. 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	Shi, HL.(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	Shi, HL."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.