Multi-equilibrium property of metabolic networks: SSI module

doi:10.1186/1752-0509-5-S1-S15

CSpace > 系统科学研究所

	Multi-equilibrium property of metabolic networks: SSI module
	Lei, Hong-Bo 1; Zhang, Ji-Feng1 ; Chen, Luonan 2,3
	2011-06-20
发表期刊	BMC SYSTEMS BIOLOGY
ISSN	1752-0509
卷号	5 页码:11
摘要	Background: Revealing the multi-equilibrium property of a metabolic network is a fundamental and important topic in systems biology. Due to the complexity of the metabolic network, it is generally a difficult task to study the problem as a whole from both analytical and numerical viewpoint. On the other hand, the structure-oriented modularization idea is a good choice to overcome such a difficulty, i.e. decomposing the network into several basic building blocks and then studying the whole network through investigating the dynamical characteristics of the basic building blocks and their interactions. Single substrate and single product with inhibition (SSI) metabolic module is one type of the basic building blocks of metabolic networks, and its multi-equilibrium property has important influence on that of the whole metabolic networks. Results: In this paper, we describe what the SSI metabolic module is, characterize the rates of the metabolic reactions by Hill kinetics and give a unified model for SSI modules by using a set of nonlinear ordinary differential equations with multi-variables. Specifically, a sufficient and necessary condition is first given to describe the injectivity of a class of nonlinear systems, and then, the sufficient condition is used to study the multi-equilibrium property of SSI modules. As a main theoretical result, for the SSI modules in which each reaction has no more than one inhibitor, a sufficient condition is derived to rule out multiple equilibria, i.e. the Jacobian matrix of its rate function is nonsingular everywhere. Conclusions: In summary, we describe SSI modules and give a general modeling framework based on Hill kinetics, and provide a sufficient condition for ruling out multiple equilibria of a key type of SSI module.
DOI	10.1186/1752-0509-5-S1-S15
语种	英语
资助项目	National Natural Science Foundation of China[60821091] ; National Natural Science Foundation of China[91029301] ; National Natural Science Foundation of China[61072149] ; CAS[KSCX2-EW-R-01] ; Shanghai Institutes for Biological Sciences, CAS[2009CSP002] ; JSPS, Japan
WOS研究方向	Mathematical & Computational Biology
WOS类目	Mathematical & Computational Biology
WOS记录号	WOS:000297313700014
出版者	BIOMED CENTRAL LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/246
专题	系统科学研究所
通讯作者	Zhang, Ji-Feng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Shanghai Inst Biol Sci, SIBS Novo Nordisk Translat Res Ctr PreDiabet, Key Lab Syst & Control, Shanghai 200031, Peoples R China 3.Univ Tokyo, Inst Ind Sci, Collaborat Res Ctr Innovat Math Modelling, Tokyo 1538505, Japan
推荐引用方式 GB/T 7714	Lei, Hong-Bo,Zhang, Ji-Feng,Chen, Luonan. Multi-equilibrium property of metabolic networks: SSI module[J]. BMC SYSTEMS BIOLOGY,2011,5:11.
APA	Lei, Hong-Bo,Zhang, Ji-Feng,&Chen, Luonan.(2011).Multi-equilibrium property of metabolic networks: SSI module.BMC SYSTEMS BIOLOGY,5,11.
MLA	Lei, Hong-Bo,et al."Multi-equilibrium property of metabolic networks: SSI module".BMC SYSTEMS BIOLOGY 5(2011):11.