Identifiability of chemical reaction networks
Identifiability of chemical reaction networks
复制标题
DOI：
10.1007/s10910-007-9307-x
复制
发表时间：
2008-07-01
影响因子：
1.7
通讯作者：
Pantea, Casian
中科院分区：
文献类型：
--
作者：
Craciun, Gheorghe;Pantea, Casian
我们考虑在质量作用动力学假设下的化学反应网络的动力学。我们表明，存在反应网络R，其反应速率常数是不唯一identifiabel，即使我们给出了完整的信息的浓度动态R的所有化学物种。此外，我们还证明了存在反应网络R-1不等于R-2，使得在适当选择反应速率常数的情况下，它们的动力学是相同的，并提出了表征R，R-1，R-2的性质的定理，使这成为可能。我们用这些事实来说明我们如何通过分析其他化学网络来确定一些化学网络的动力学性质。
We consider the dynamics of chemical reaction networks under the assumption of mass-action kinetics. We show that there exist reaction networks R for which the reaction rate constants are not uniquely identifiabel, even if we are given complete information on the dynamics of concentrations for all chemical species of R. Also, we show that there exist reaction networks R-1 not equal R-2 such that their dynamics are identical under appropriate choices of reaction rate constants, and present theorems that characterize the properties of R, R-1, R-2 that make this possible. We use these facts to show how we can determine dynamical properties of some chemical networks by analyzing other chemical networks.