论文标题
具有一维化学计量比例的群众行动网络的多立场性分类
Classification of multistationarity for mass action networks with one-dimensional stoichiometric subspace
论文作者
论文摘要
我们完全表征了质量反应网络（非等级）多立场性的能力，该反应网络具有一维化学计量图在反应结构方面的能力。具体来说，我们表明，当且仅当它们具有两个模式$（\ to，\ get）$和$（\ gets，\ to to）$中时，具有两个或多个源复合体的网络具有多站性的能力。此外，我们指定仅可能发生多个稳态的网络类别。特别是，我们表征了一个由一个不可逆的和一种可逆反应组成的小型网络的非排定综合性的能力，或两个可逆反应
We characterize completely the capacity for (nondegenerate) multistationarity of mass action reaction networks with one-dimensional stoichiometric subspace in terms of reaction structure. Specifically, we show that networks with two or more source complexes have the capacity for multistationarity if and only if they have both patterns $(\to, \gets)$ and $(\gets, \to)$ in some 1D projections. Moreover, we specify the classes of networks for which only degenerate multiple steady states may occur. In particular, we characterize the capacity for nondegenerate multistationarity of small networks composed of one irreversible and one reversible reaction, or two reversible reactions
