We describe methods to identify cylinder sets inside a basin of attraction for Boolean dynamics of biological networks. Such sets are used for designing regulatory interventions that make the system evolve towards a chosen attractor, for example initiating apoptosis in a cancer cell. We describe two algebraic methods for identifying cylinders inside a basin of attraction, one based on the Groebner fan that finds monomials that define cylinders and the other on primary decomposition. Both methods are applied to current examples of gene networks.

中文翻译：

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用于网络动力学的单项式和盆柱。

我们描述了识别生物网络布尔动力学吸引盆内圆柱体组的方法。此类组用于设计调节干预措施，使系统朝着选定的吸引子进化，例如启动癌细胞的细胞凋亡。我们描述了两种用于识别吸引力盆内圆柱体的代数方法，一种基于 Groebner 扇形，可找到定义圆柱体的单项式，另一种基于初级分解。这两种方法都应用于当前的基因网络示例。