论文标题
仅源的实现，弱可逆的缺陷一个网络和动态等效性
Source-only realizations, weakly reversible deficiency one networks and dynamical equivalence
论文作者
论文摘要
反应网络可以显示各种动力学。但是，不同反应网络可能会显示相同的动力学。这种现象称为动态等效性，使网络识别是一个难以解决的问题。我们表明，要找到一个强烈的内毒性，内毒性，一致或保守的实现，该实现在动态上等同于给定网络生成的质量行动系统，仅考虑给定网络的源顶点就足够了。此外，我们表明弱可逆的缺陷一个实现不是唯一的。我们还介绍了几种弱可逆的缺陷一个网络之间存在的动态关系的表征。
Reaction networks can display a wide array of dynamics. However, it is possible for different reaction networks to display the same dynamics. This phenomenon is called dynamical equivalence and makes network identification a hard problem to solve. We show that to find a strongly endotactic, endotactic, consistent, or conservative realization that is dynamically equivalent to the mass-action system generated by a given network, it suffices to consider only the source vertices of the given network. In addition, we show that weakly reversible deficiency one realizations are not unique. We also present a characterization of the dynamical relationships that exist between several types of weakly reversible deficiency one networks.
