Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates

DOI10.1007/s00285-009-0309-0zbMath1204.92038OpenAlexW2159807606WikidataQ51772292 ScholiaQ51772292MaRDI QIDQ604535

Patrick De Leenheer, Eduardo D. Sontag, David Angeli

Publication date: 11 November 2010

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

Full work available at URL: https://doi.org/10.1007/s00285-009-0309-0

zbMATH Keywords

global convergencepersistencebiochemical reaction networksmonotone systemsfutile cycleEGF pathway modelreaction coordinates

Mathematics Subject Classification ID

Applications of graph theory (05C90) Dynamical systems in biology (37N25) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

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Cites Work

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• On Gibb's phase rule
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• A small-gain theorem for almost global convergence of monotone systems
• Stability and convergence in strongly monotone dynamical systems.
• Monotonicity in chemical reaction systems
• Propagation of frontal polymerization—crystallization waves
• The Theory of the Chemostat
• Monotone control systems
• Multiple Equilibria in Complex Chemical Reaction Networks: II. The Species-Reaction Graph

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