Boolean network representation of a continuous-time system and finite-horizon optimal control: application to the single-gene regulatory system for the lac operon

DOI10.1080/00207179.2016.1186289zbMath1388.49042OpenAlexW2395223289MaRDI QIDQ2978076

Corrado Possieri, Antonio Tornambe, Laura Menini

Publication date: 21 April 2017

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2016.1186289

zbMATH Keywords

optimizationBoolean networklac operon single-gene regulatory system

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Protein sequences, DNA sequences (92D20)

Related Items (4)

Asymptotic stability in probability for stochastic Boolean networks ⋮ Boolean network analysis through the joint use of linear algebra and algebraic geometry ⋮ From Boolean networks to linear dynamical systems: a simplified route ⋮ Robust stability of delayed Markovian switching genetic regulatory networks with reaction-diffusion terms

Uses Software

• Macaulay2
• Sostools

Cites Work

• Unnamed Item
• Unnamed Item
• Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects
• The transition from differential equations to Boolean networks: A case study in simplifying a regulatory network model
• Asymptotic stability of differential systems with impulsive effects suffered by logic choice
• Dead beat controllability of polynomial systems: symbolic computation approaches
• Ideals, Varieties, and Algorithms
• Stochastic Modeling and Control of Biological Systems: The Lactose Regulation System ofEscherichia Coli
• Dynamics and bistability in a reduced model of the lac operon

This page was built for publication: Boolean network representation of a continuous-time system and finite-horizon optimal control: application to the single-gene regulatory system for the lac operon