具有中间点和二项式核心网络的多平稳结构
The multistationarity structure of networks with intermediates and a binomial core network
摘要：
这项工作解决了反应网络，采取质量作用动力学，是否是多稳态，也就是说，承认一个以上的正稳态在一些化学计量相容类。我们建立在以前的工作的影响，删除或添加中间体的多平稳性，也对方法来检测多平稳网络与二项式稳态理想。特别是，我们提供了一个新的判定标准，以决定是否一个网络是多平稳的，这适用于当网络通过删除中间有一个二项式稳态理想。我们应用这种方法来轻松地表征复体的哪些子集负责多平稳性，这就是我们所说的网络的\emph{multistationarity structure}。我们使用我们的方法来计算任意n的$n$位点顺序分布磷酸化循环的多稳态结构。
英文摘要：
This work addresses whether a reaction network, taken with mass-action kinetics, is multistationary, that is, admits more than one positive steady state in some stoichiometric compatibility class. We build on previous work on the effect that removing or adding intermediates has on multistationarity, and also on methods to detect multistationarity for networks with a binomial steady state ideal. In particular, we provide a new determinant criterion to decide whether a network is multistationary, which applies when the network obtained by removing intermediates has a binomial steady state ideal. We apply this method to easily characterize which subsets of complexes are responsible for multistationarity; this is what we call the \emph{multistationarity structure} of the network. We use our approach to compute the multistationarity structure of the $n$-site sequential distributive phosphorylation cycle for arbitrary n.
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