Reachability, persistence, and constructive chemical reaction networks. III: A mathematical formalism for binary enzymatic networks and application to persistence

DOI10.1007/s10910-011-9895-3zbMath1303.92150OpenAlexW2080689202MaRDI QIDQ656987

Gilles Ph. Gnacadja

Publication date: 13 January 2012

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

Full work available at URL: https://doi.org/10.1007/s10910-011-9895-3

zbMATH Keywords

reachabilitychemical reaction networkvacuous persistencebinary enzymatic networksenzymatic cascadefutile enzymatic cycle

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20)

Related Items

Concordant chemical reaction networks ⋮ Multistationarity in structured reaction networks ⋮ Reachability, persistence, and constructive chemical reaction networks. I: Reachability approach to the persistence of chemical reaction networks ⋮ Reachability, persistence, and constructive chemical reaction networks. II: A formalism for species composition in chemical reaction network theory and application to persistence ⋮ Algebra and Geometry in the Study of Enzymatic Cascades ⋮ Intermediates, catalysts, persistence, and boundary steady states

Cites Work

• Chemical reaction systems with toric steady states
• Reachability, persistence, and constructive chemical reaction networks. I: Reachability approach to the persistence of chemical reaction networks
• Reachability, persistence, and constructive chemical reaction networks. II: A formalism for species composition in chemical reaction network theory and application to persistence
• On the number of steady states in a multiple futile cycle
• The rational parameterisation theorem for multisite post-translational modification systems
• A Petri net approach to the study of persistence in chemical reaction networks
• Understanding bistability in complex enzyme-driven reaction networks
• Global stability of complex balanced mechanisms