MONOMIALS AND BASIN CYLINDERS FOR NETWORK DYNAMICS.
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ABSTRACT:
SUBMITTER: Austin D
PROVIDER: S-EPMC4299671 | biostudies-literature | 2015
REPOSITORIES: biostudies-literature
Publications
MONOMIALS AND BASIN CYLINDERS FOR NETWORK DYNAMICS.
Austin Daniel D Dinwoodie Ian H IH
SIAM journal on applied dynamical systems 20150101 1
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 ...[more]
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