title: MONOMIALS AND BASIN CYLINDERS FOR NETWORK DYNAMICS.
abstract: 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.
authors.affiliation: Department of Neurology, Oregon Health & Science University, 3303 SW Bond Ave, MC: CH13B, Portland OR 97239.
authors.forename: Daniel
authors.initials: D
authors.lastname: Austin
authors.affiliation: Fariborz Maseeh Department of Mathematics and Statistics, 724 SW Harrison St, Portland State University, Portland OR 97201.
authors.forename: Ian H
authors.initials: IH
authors.lastname: Dinwoodie
keywords: Apoptosis; Boolean network; Groebner basis; Groebner fan; asynchronous network; basin of attraction; prime decomposition