动态等价、线性共轭和亏一定理的线性规划方法
A Linear Programming Approach to Dynamical Equivalence, Linear Conjugacy, and the Deficiency One Theorem
摘要：
著名的亏一定理给出了化学反应网络的结构条件，在此条件下，对于任何一组参数值，相应的质量作用系统的稳态可以很容易地表征。然而，我们也知道，质量作用系统并不是唯一地与反应网络相关联，并且某些表示可能满足亏一定理，而另一些则可能不满足。在本文中，我们提出了一个混合整数线性规划框架，能够确定是否一个给定的质量作用系统有一个动态等效或线性共轭表示，其中有一个底层网络满足亏一定理。这扩展了最近的计算工作，确定线性共轭系统是弱可逆的，有缺陷的零。
英文摘要：
The well-known Deficiency One Theorem gives structural conditions on a chemical reaction network under which, for any set of parameter values, the steady states of the corresponding mass action system may be easily characterized. It is also known, however, that mass action systems are not uniquely associated with reaction networks and that some representations may satisfy the Deficiency One Theorem while others may not. In this paper we present a mixed-integer linear programming framework capable of determining whether a given mass action system has a dynamically equivalent or linearly conjugate representation which has an underlying network satisfying the Deficiency One Theorem. This extends recent computational work determining linearly conjugate systems which are weakly reversible and have a deficiency of zero.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
