Exact control of genetic networks in a qualitative framework: the bistable switch example

DOI10.1016/j.automatica.2011.01.071zbMath1235.93021OpenAlexW2039381024MaRDI QIDQ665131

Jean-Luc Gouzé, Madalena Chaves

Publication date: 5 March 2012

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-00848406/file/chaves-gouze-automatica2011.pdf

zbMATH Keywords

genetic networkspiecewise affine differential systemsqualitative control

Mathematics Subject Classification ID

Large-scale systems (93A15) Systems biology, networks (92C42)

Related Items

Robust control of uncertain nonlinear switched genetic regulatory networks with time delays: A redesign approach, Modeling and Analysis of Gene Regulatory Networks, Probabilistic approach for predicting periodic orbits in piecewise affine differential models, Applying differential dynamic logic to reconfigurable biological networks, Weak synchronization and convergence in coupled genetic regulatory networks: Applications to damped oscillators and multistable circuits, Time‐optimal control of piecewise affine bistable gene‐regulatory networks, Continuous-switch piecewise quadratic models of biological networks: application to bacterial growth, Optimal control of bacterial growth for the maximization of metabolite production, A model for the hepatic glucose metabolism based on Hill and step functions, Coarse-grained optimization-driven design and piecewise linear modeling of synthetic genetic circuits, Qualitative control of undesired oscillations in a genetic negative feedback loop with uncertain measurements, Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability, Limit cycle analysis of a class of hybrid gene regulatory networks

Cites Work

• Unnamed Item
• Qualitative simulation of genetic regulatory networks using piecewise-linear models
• A mathematical framework for the control of piecewise-affine models of gene networks
• A control problem for affine dynamical systems on a full-dimensional polytope.
• Uncovering operational interactions in genetic networks using asynchronous Boolean dynamics
• Piecewise-linear models of genetic regulatory networks: equilibria and their stability
• A class of piecewise linear differential equations arising in biological models
• Bistable Biological Systems: A Characterization Through Local Compact Input-to-State Stability
• Controllability Analysis of Biosystems Based on Piecewise-Affine Systems Approach