Chemical systems consisting only of elementary steps - a paradigma for nonlinear behavior
Chemical systems consisting only of elementary steps - a paradigma for nonlinear behavior
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DOI：
10.1023/a:1019131221994
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发表时间：
2000-01-01
影响因子：
1.7
通讯作者：
Wilhelm, T
中科院分区：
文献类型：
--
作者：
Wilhelm, T
我们提出了一种新的分析方法，它允许一个解释的质量作用动力学反应的任意分子作为一个序列的双分子步骤的极限情况。结合其他技术（将任意常微分方程转化为多项式常微分方程[8];将多项式常微分方程转化为可以解释为质量作用动力学系统的形式[10]），因此有可能构建具有与任意常微分方程相同动力学行为的至多双分子质量作用动力学系统。此外，我们证明了必要的改进的转换[10]。它也表明，一个任意的单一的质量作用动力学反应可以理解为一个序列的两个反应与短寿命的中间体。特别是，它因此遵循的自催化反应总是可以近似为两个非自催化的，而不改变整个系统的动力学。
We present a new analytic method which allows one to interpret a mass-action kinetic reaction of arbitrary molecularity as the limit case of a sequence of bimolecular steps. Together with other technics (transformation of an arbitrary ODE into a polynomial ODE [8]; transformation of a polynomial ODE into a form which can be interpreted as a mass-action kinetic system [10]), it is thus possible to construct an at most bimolecular mass-action kinetic system with the same dynamic behavior as an arbitrary ODE. Furthermore, we demonstrate necessary improvements of the transformation given in [10]. Is is also shown that an arbitrary single mass-action kinetic reaction can be understood as a sequence of two reactions with a short-living intermediate. In particular, it therefore follows that an autocatalytic reaction can always be approximated by two nonautocatalytic ones without changing the dynamics of the whole system.