Graph theory and qualitative analysis of reaction networks
Graph theory and qualitative analysis of reaction networks
复制标题
DOI：
10.3934/nhm.2008.3.295
复制
发表时间：
2008-06-01
影响因子：
1
通讯作者：
Kirkilionis, Markus
中科院分区：
文献类型：
--
作者：
Domijan, Mirela;Kirkilionis, Markus
不同类型的宏观反应动力学可以从微观分子相互作用中得到，质量作用定律在标准情况下是最广泛使用的。在这种主要确定反应类型的建模步骤之后，分析完整调控网络的定性属性就成了一个问题。这个问题必须解决，因为化学反应网络在一些最基本的细胞过程中发挥着作用，例如细胞新陈代谢和细胞信号过程的调节。本文讨论了如何用图论方法来描述和分析反应网络。在存在参数不确定性或模型信息不完全的情况下，图论是分析复杂反应网络的有效工具。图是非常强大的工具，从这个意义上说，网络拓扑的所有类别都将显示类似的行为，而不依赖于可获得的关于反应常数的准确信息。然而，人们仍然必须注意在网络结构中包含足够的动态信息，以便获得有意义的结果。
Different types of macroscopic reaction kinetics can be derived from microscopic molecular interactions, with the law of mass action being the most widely used one in standard situations. After such a modeling step, where primarily the types of reactions are identified, it becomes a problem to analyse qualitative properties of complete regulatory networks. This problem has to be tackled, because chemical reaction networks play a part in some of the most fundamental cellular processes such as cell metabolism and regulation of cell signalling processes. This paper discusses how reaction networks can be described and analysed by graph theoretic means. Graph theory is a useful analysis tool for complex reaction networks, in situations where there is parameter uncertainty or modeling information is incomplete. Graphs are very robust tools, in the sense that whole classes of network topologies will show similar behaviour, independently of precise information that is available about the reaction constants. Nevertheless, one still has to take care to incorporate sufficient dynamical information in the network structure, in order to obtain meaningful results.