Boundedness analysis for open chemical reaction networks with mass-action kinetics

DOI10.1007/s11047-009-9163-7zbMath1217.92099OpenAlexW2135441936MaRDI QIDQ553915

David Angeli

Publication date: 28 July 2011

Published in: Natural Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11047-009-9163-7

zbMATH Keywords

input-output stabilityopen systemschemical reaction networksmass-action kineticscontinuous Petri nets

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Computing methodologies and applications (68U99) Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.) (68Q85)

Related Items (4)

Structural analysis in biology: a control-theoretic approach ⋮ Piecewise-linear Lyapunov functions for structural stability of biochemical networks ⋮ How Might Petri Nets Enhance Your Systems Biology Toolkit ⋮ A network dynamics approach to chemical reaction networks

Cites Work

• On Gibb's phase rule
• The existence and uniqueness of steady states for a class of chemical reaction networks
• A Petri net approach to the study of persistence in chemical reaction networks
• Parallel program schemata
• Monotone control systems
• Qualitative Theory of Compartmental Systems
• Input-to-State Stability of Rate-Controlled Biochemical Networks
• Executable Petri net models for the analysis of metabolic pathways
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