Computing Equilibrium Points of Genetic Regulatory Networks

DOI10.1007/978-3-642-04186-0_12zbMath1260.92026OpenAlexW1913345874MaRDI QIDQ3642959

Graziano Chesi

Publication date: 10 November 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10722/129200

zbMATH Keywords

limit cycledifferential equationsaturationequilibrium pointgenetic regulatory network

Mathematics Subject Classification ID

Computational methods for problems pertaining to biology (92-08) Systems biology, networks (92C42)

Related Items (9)

A parameter condition for ruling out multiple equilibria of the photosynthetic carbon metabolism ⋮ Robust stochastic stability of genetic regulatory networks with time delays and parametric uncertainties ⋮ Mean square exponential stability of stochastic genetic regulatory networks with time-varying delays ⋮ Delay-dependent global asymptotic stability criteria for stochastic genetic regulatory networks with Markovian jumping parameters ⋮ Robust \(\mu\)-stability analysis of Markovian switching uncertain stochastic genetic regulatory networks with unbounded time-varying delays ⋮ Robustness analysis of genetic regulatory networks affected by model uncertainty ⋮ Delay-probability-distribution-dependent stability of uncertain stochastic genetic regulatory networks with mixed time-varying delays: an LMI approach ⋮ Sampled-data H _∞ filtering for stochastic genetic regulatory networks ⋮ On the robust stability of time-varying uncertain genetic regulatory networks

Cites Work

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• Stability analysis of uncertain genetic sum regulatory networks
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• Homogeneous polynomial forms for robustness analysis of uncertain systems
• Characterizing the solution set of polynomial systems in terms of homogeneous forms: an LMI approach
• Stability of Genetic Networks With SUM Regulatory Logic: Lur'e System and LMI Approach
• Numerical Polynomial Algebra
• Iterative Solution of Nonlinear Equations in Several Variables
• Solving quadratic distance problems: an LMI-based approach

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