化学计量网络的变形复曲面理想约束
Deformed Toric Ideal Constraints for Stoichiometric Networks
摘要：
我们讨论化学反应网络和代谢途径的化学计量网络分析的基础上，通过代数几何方法引入变形环面理想约束。本文研究化学反应网络和代谢途径的稳态通量。通过变形复曲面理想约束，自动约束极端路径的线性组合参数，而无需引入ad hoc约束。为了说明这种约束的有效性，我们讨论了化学反应网络和代谢途径的两个例子;在前者的通量和浓度完全由变形复曲面理想约束，在后者中，它是变形复曲面理想约束通量的线性组合参数至少部分。即使在后一种情况下，通量和浓度也完全受到酶总量恒定的附加约束的约束。
英文摘要：
We discuss chemical reaction networks and metabolic pathways based on stoichiometric network analysis, and introduce deformed toric ideal constraints by the algebraic geometrical approach. This paper concerns steady state flux of chemical reaction networks and metabolic pathways. With the deformed toric ideal constraints, the linear combination parameters of extreme pathways are automatically constrained without introducing ad hoc constraints. To illustrate the effectiveness of such constraints, we discuss two examples of chemical reaction network and metabolic pathway; in the former the flux and the concentrations are constrained completely by deformed toric ideal constraints, and in the latter, it is shown the deformed toric ideal constrains the linear combination parameters of flux at least partially. Even in the latter case, the flux and the concentrations are constrained completely with the additional constraint that the total amount of enzyme is constant.
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