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» Polynomial algebra of discrete models in systems biology
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COMPGEOM
2001
ACM
15 years 1 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...
HYBRID
2004
Springer
15 years 3 months ago
Constructing Invariants for Hybrid Systems
Abstract. An invariant of a system is a predicate that holds for every reachable state. In this paper, we present techniques to generate invariants for hybrid systems. This is achi...
Sriram Sankaranarayanan, Henny Sipma, Zohar Manna
EUROCAST
2007
Springer
104views Hardware» more  EUROCAST 2007»
15 years 3 months ago
Entropy-Based Modeling and Simulation of Evolution in Biological Systems
Abstract. We report computer-aided modeling and simulation of evolution in biological systems with living organisms as effect of extremum properties of classical statistical entro...
Stanislaw Sieniutycz
BMCBI
2010
178views more  BMCBI 2010»
14 years 9 months ago
Applications of a formal approach to decipher discrete genetic networks
Background: A growing demand for tools to assist the building and analysis of biological networks exists in systems biology. We argue that the use of a formal approach is relevant...
Fabien Corblin, Eric Fanchon, Laurent Trilling
HYBRID
2010
Springer
15 years 4 months ago
Automatic invariant generation for hybrid systems using ideal fixed points
We present computational techniques for automatically generating algebraic (polynomial equality) invariants for algebraic hybrid systems. Such systems involve ordinary differentia...
Sriram Sankaranarayanan