论文标题
化学反应网络的多项式多项式超级设定表示
Polynomial Superlevel Set Representation of the Multistationarity Region of Chemical Reaction Networks
论文作者
论文摘要
在本文中，我们使用多项式超级水平集为反应网络的多站点区域介绍了一个新的表示。讨论了本已存在的表示形式（圆柱代数分解，数字采样，矩形划分）的优点，并提供了计算此新表示形式的算法。结果是针对方程参数系统的一般数学形式主义给出的，因此可以应用于其他应用域。
In this paper we introduce a new representation for the multistationarity region of a reaction network, using polynomial superlevel sets. The advantages of using this polynomial superlevel set representation over the already existing representations (cylindrical algebraic decompositions, numeric sampling, rectangular divisions) is discussed, and algorithms to compute this new representation are provided. The results are given for the general mathematical formalism of a parametric system of equations and so may be applied to other application domains.
