本文研究分解为弱可逆复因子分解（CF）体系的化学动力学系统。在幂律动力学系统中，CF系统（表示为PL-RDK系统）是其中反应物络合物的分支反应在动力学次序矩阵中具有相同行的那些。质量作用和广义质量作用系统（GMAS）是众所周知的例子。Schmitz的全球碳循环模型是一个先前研究过的非复可因子分解（NF）幂律系统（表示为PL-NDK）。我们得到新的弱可逆CF-分解的存在条件，并提出了一个算法来验证这些条件。我们讨论了识别独立分解的方法，即，其中子网络的化学计量子空间形成直和，因为这样的分解将子网络的正平衡集与整个网络的正平衡集相关联。然后我们利用这些结果确定了PL-NDK系统的正平衡集，这些正平衡集允许一个独立的弱可逆分解为PLP型PL-RDK系统，即，正平衡是对数参数化的，这是Fortun et al.（2019）的亏零定理的广泛推广。
英文摘要：
This paper studies chemical kinetic systems which decompose into weakly reversible complex factorizable (CF) systems. Among power law kinetic systems, CF systems (denoted as PL-RDK systems) are those where branching reactions of a reactant complex have identical rows in the kinetic order matrix. Mass action and generalized mass action systems (GMAS) are well-known examples. Schmitz's global carbon cycle model is a previously studied non-complex factorizable (NF) power law system (denoted as PL-NDK). We derive novel conditions for the existence of weakly reversible CF-decompositions and present an algorithm for verifying these conditions. We discuss methods for identifying independent decompositions, i.e., those where the stoichiometric subspaces of the subnetworks form a direct sum, as such decompositions relate positive equilibria sets of the subnetworks to that of the whole network. We then use the results to determine the positive equilibria sets of PL-NDK systems which admit an independent weakly reversible decomposition into PL-RDK systems of PLP type, i.e., the positive equilibria are log-parametrized, which is a broad generalization of a Deficiency Zero Theorem of Fortun et al. (2019).
