Multistability and oscillations in genetic control of metabolism

DOI10.1016/j.jtbi.2011.11.017zbMath1336.92027OpenAlexW1966507944WikidataQ82789006 ScholiaQ82789006MaRDI QIDQ285171

Marit Hoff-Hoffmeyer-Zlotnik, Madalena Chaves, Diego A. Oyarzún

Publication date: 19 May 2016

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2011.11.017

zbMATH Keywords

piecewise linear systemsmetabolic networksgenetic networkstranscriptional control

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Systems biology, networks (92C42)

Related Items (6)

Qualitative Behavior of a Metabolic Pathway with Hybrid Feedback ⋮ Learning Boolean controls in regulated metabolic networks: a case-study ⋮ Network specialization: a topological mechanism for the emergence of cluster synchronization ⋮ Hybrid models of genetic networks: mathematical challenges and biological relevance ⋮ Dynamics of complex feedback architectures in metabolic pathways ⋮ Analysis of a genetic-metabolic oscillator with piecewise linear models

Cites Work

• Qualitative simulation of genetic regulatory networks using piecewise-linear models
• A control problem for affine dynamical systems on a full-dimensional polytope.
• Piecewise-linear models of genetic regulatory networks: equilibria and their stability
• Planar systems of piecewise linear differential equations with a line of discontinuity
• A class of piecewise linear differential equations arising in biological models
• Analysis of continuous-time switching networks
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