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HYBRID
2007
Springer

Piecewise Constant Feedback Control of Piecewise Affine Gene Network Models

11 years 9 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 most extensively studied among such kind of models. We propose an extension of this class, introducing some input variables. A special focus is given to degradation and production rates being affine functions of the inputs. Some generic control problems are proposed, formulated in terms of an underlying discrete structure. Piecewise constant feedback laws that solve these problems are characterized in terms of affine inequalities. These general feedback laws are then applied to a well-known two dimensional example: the toggle switch. It is shown how to control this system toward various behaviours, especially bistability and bisimilarity with a discrete quotient.
Etienne Farcot, Jean-Luc Gouzé
Added 16 Aug 2010
Updated 16 Aug 2010
Type Conference
Year 2007
Where HYBRID
Authors Etienne Farcot, Jean-Luc Gouzé
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