Notes on the deficiency-one theorem: multiple linkage classes

DOI10.1016/j.mbs.2011.11.004zbMath1241.92029OpenAlexW1973549037WikidataQ51492072 ScholiaQ51492072MaRDI QIDQ433682

Balázs Boros

Publication date: 5 July 2012

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2011.11.004

zbMATH Keywords

interior equilibriachemical reaction networksmass action systems

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Dynamical systems in biology (37N25) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Applications of dynamical systems (37N99) Systems biology, networks (92C42)

Related Items (8)

A linear programming approach to dynamical equivalence, linear conjugacy, and the deficiency one theorem ⋮ Oscillations in planar deficiency-one mass-action systems ⋮ Positive equilibria of power law kinetics on networks with independent linkage classes ⋮ On the existence of the positive steady states of weakly reversible deficiency-one mass action systems ⋮ Positive equilibria of a class of power-law kinetics ⋮ On the dependence of the existence of the positive steady states on the rate coefficients for deficiency-one mass action systems: single linkage class ⋮ Structural analysis of combustion mechanisms ⋮ Which Small Reaction Networks Are Multistationary?

Cites Work

• Unnamed Item
• Toric dynamical systems
• Homotopy methods for counting reaction network equilibria
• Chemical mechanism structure and the coincidence of the stoichiometric and kinetie subspaces
• Combinatorial optimization. Polyhedra and efficiency (3 volumes)
• The existence and uniqueness of steady states for a class of chemical reaction networks
• Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
• Digraphs

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