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首页> 外文会议>International Conference on Algebraic Biology(AB 2007); 20070702-04; Castle of Hagenberg(AT) >Discrete Models of Biochemical Networks: The Toric Variety of Nested Canalyzing Functions
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Discrete Models of Biochemical Networks: The Toric Variety of Nested Canalyzing Functions

机译：生化网络的离散模型：嵌套分析功能的复曲面种类

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摘要

This paper focuses on the class of nested canalyzing Boolean functions. This class has been introduced and studied recently as a possible source for models of biological networks with favorable dynamic properties. We provide a geometric model for this class in the form of a toric algebraic variety described by a set of binomial polynomial equations, each of whose rational points corresponds to a nested canalyzing function. Toric varieties have a rich geometric and combinatorial structure which provides a basis for a theoretical study of the properties of canalyzing functions. In particular, a good computational characterization of this class would facilitate their incorporation into network inference methods for discrete biochemical networks.
机译：本文重点介绍嵌套可解析布尔函数的类。此类已被引入和研究，作为具有良好动态特性的生物网络模型的可能来源。我们以复曲面代数形式的形式为此类提供了一个几何模型，该复数形式由一组二项式多项式方程式描述，每个方程式的有理点对应于嵌套的解析函数。复曲面变种具有丰富的几何和组合结构，这为理论分析功能的基础提供了基础。特别是，此类的良好计算特征将有助于将其合并到离散生化网络的网络推断方法中。

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