论文标题
在反应网络及其相关的多项式动态系统上
On classes of reaction networks and their associated polynomial dynamical systems
论文作者
论文摘要
In the study of reaction networks and the polynomial dynamical systems that they generate, special classes of networks with important properties have been identified.这些包括可逆的，弱的可逆}，以及最近的内核网络。尽管这些网络类型之间的某些夹杂物很清楚，例如所有可逆网络都是弱可逆的事实，但其他关系更为复杂。加上这种复杂性的是，夹杂物处于网络生成的动态系统级别而不是网络本身的级别。我们完全表征可逆的，弱的可逆，内属性和强烈的内毒性网络以及其他较少研究的网络类型之间的包含。特别是，我们表明，每个在二维中强烈的内毒网络都可以由一个弱弱可逆的网络生成。我们还介绍了一类新的仅源网络，该网络是网络具有的计算方便属性，并显示此类与上述网络类型的关系。
In the study of reaction networks and the polynomial dynamical systems that they generate, special classes of networks with important properties have been identified. These include reversible, weakly reversible}, and, more recently, endotactic networks. While some inclusions between these network types are clear, such as the fact that all reversible networks are weakly reversible, other relationships are more complicated. Adding to this complexity is the possibility that inclusions be at the level of the dynamical systems generated by the networks rather than at the level of the networks themselves. We completely characterize the inclusions between reversible, weakly reversible, endotactic, and strongly endotactic network, as well as other less well studied network types. In particular, we show that every strongly endotactic network in two dimensions can be generated by an extremally weakly reversible network. We also introduce a new class of source-only networks, which is a computationally convenient property for networks to have, and show how this class relates to the above mentioned network types.
