Austin Daniel, Dinwoodie Ian H
Department of Neurology, Oregon Health & Science University, 3303 SW Bond Ave, MC: CH13B, Portland OR 97239.
Fariborz Maseeh Department of Mathematics and Statistics, 724 SW Harrison St, Portland State University, Portland OR 97201.
SIAM J Appl Dyn Syst. 2015;14(1):25-42. doi: 10.1137/140975929.
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.
我们描述了识别生物网络布尔动力学吸引域内柱集的方法。此类集合用于设计调控干预措施，使系统朝着选定的吸引子演化，例如在癌细胞中引发凋亡。我们描述了两种用于识别吸引域内柱体的代数方法，一种基于找到定义柱体的单项式的格罗比纳扇，另一种基于素分解。这两种方法都应用于当前的基因网络示例。
