Name
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 toward 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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1137/140975929 | SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS |
Keywords | Field | DocType |
apoptosis,asynchronous network,basin of attraction,Boolean network,Groebner basis,Groebner fan,prime decomposition | Attractor,Boolean network,Network dynamics,Algebraic number,Algebra,Biological network,Prime decomposition,Monomial,Gröbner basis,Mathematics | Journal |
Volume | Issue | ISSN |
14 | 1 | 1536-0040 |
Citations | PageRank | References |
0 | 0.34 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Daniel Austin | 1 | 91 | 17.29 |
| Ian H Dinwoodie | 2 | 0 | 0.34 |