The existence and uniqueness of steady states for a class of chemical reaction networks
The existence and uniqueness of steady states for a class of chemical reaction networks
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DOI：
10.1007/bf00375614
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发表时间：
1995-01-01
影响因子：
2.5
通讯作者：
Feinberg, M
中科院分区：
文献类型：
--
作者：
Feinberg, M
我在这里的目的是画出化学反应网络的结构和相应的非线性常微分方程组的平衡状态组的性质之间的一些一般关系。一个例子将说明如何通过化学反应网络导出常微分方程组：我们考虑一个包含流体混合物的封闭*容器，其中标记为 A、B、C、D 和 E 的物质之间发生化学反应。混合物被连续搅拌。搅拌足够有效以使整个混合物中所有物质的温度和摩尔浓度均匀。此外，混合物的温度和体积通过外部手段保持随时间不变。另一方面，由于化学反应的发生，混合物的成分可能会经历时间变化。
My purpose here is to draw some general relationships between the structure of a chemical reaction network and the nature of the set of equilibrium states for the corresponding system of nonlinear ordinary differential equations. An example will illustrate the way in which a system of ordinary differential equations is induced by a chemical reaction network: We consider a closed* vessel containing a fluid mixture in which chemical reactions occur among species labeled A, B, C, D and E. The mixture is stirred continuously. The stirring is sufficiently effective as to render the temperature and the molar concentrations of all species uniform throughout the mixture. Moreover, the temperature and the volume of the mixture are kept time-invariant by external means. On the other hand, the composition of the mixture may experience temporal variation resulting from the occurrence of chemical reactions.