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AUTOMATICA
2008
78views more  AUTOMATICA 2008»
13 years 6 months ago
A mathematical framework for the control of piecewise-affine models of gene networks
This article introduces results on the control of gene networks, in the context of piecewise-affine models. We propose an extension of this well-documented class of models, where ...
Etienne Farcot, Jean-Luc Gouzé
CDC
2010
IEEE
144views Control Systems» more  CDC 2010»
13 years 1 months ago
Formal analysis of piecewise affine systems through formula-guided refinement
Abstract-- We present a computational framework for identifying a set of initial states from which all trajectories of a piecewise affine (PWA) system satisfy a Linear Temporal Log...
Boyan Yordanov, Jana Tumova, Calin Belta, Ivana Ce...
HYBRID
2007
Springer
13 years 10 months ago
Piecewise Constant Feedback Control of Piecewise Affine Gene Network Models
Abstract. The use of hybrid dynamical systems to model gene regulation is impelled by the switch-like behaviour of the latter. Piecewise affine differential equations is one of the...
Etienne Farcot, Jean-Luc Gouzé
HYBRID
2007
Springer
13 years 10 months ago
Qualitative Analysis of Nonlinear Biochemical Networks with Piecewise-Affine Functions
Abstract. Nonlinearities and the lack of accurate quantitative information considerably hamper modeling and system analysis of biochemical networks. Here we propose a procedure for...
M. W. J. M. Musters, Hidde de Jong, P. P. J. van d...
BMCBI
2010
160views more  BMCBI 2010»
13 years 6 months ago
Quantitative model for inferring dynamic regulation of the tumour suppressor gene p53
Background: The availability of various "omics" datasets creates a prospect of performing the study of genomewide genetic regulatory networks. However, one of the major ...
Junbai Wang, Tianhai Tian