Petri网与化学反应网络的优势与劣势
Dominance and Deficiency for Petri Nets and Chemical Reaction Networks
摘要：
受Anderson等人[J. R.界面，2014]我们研究离散化学反应网络（CRN）的长期行为。特别是，使用Petri网理论和CRN理论的技术，我们提供了一个强大的充分条件，结构有界的CRN具有的属性，即没有非终端反应可以消防其所有的经常性配置。我们比较了这个结果和它的证明与Anderson等人的相关结果。并显示了它的后果的情况下，CRNs的不足之一。
英文摘要：
Inspired by Anderson et al. [J. R. Soc. Interface, 2014] we study the long-term behavior of discrete chemical reaction networks (CRNs). In particular, using techniques from both Petri net theory and CRN theory, we provide a powerful sufficient condition for a structurally-bounded CRN to have the property that none of the non-terminal reactions can fire for all its recurrent configurations. We compare this result and its proof with a related result of Anderson et al. and show its consequences for the case of CRNs with deficiency one.
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