Chemical reaction network approaches to biochemical systems theory
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Publication:900732
DOI10.1016/j.mbs.2015.08.022zbMath1351.92016OpenAlexW2749479121WikidataQ50855628 ScholiaQ50855628MaRDI QIDQ900732
Eduardo R. Mendoza, Editha C. Jose, Alberto Marín-Sanguino, Carlene Perpetua P. Arceo
Publication date: 22 December 2015
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mbs.2015.08.022
generalized mass actionchemical reaction networkcomplex factorizable kineticscomplex balanced steady statesreactant-determined kinetics
Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40)
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Cites Work
- Unnamed Item
- Unnamed Item
- Complex-linear invariants of biochemical networks
- Biochemical systems theory: a review
- Multistationarity in mass action networks with applications to ERK activation
- Translated chemical reaction networks
- Design of the lac gene circuit revisited
- Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates
- Mathematical models of purine metabolism in man
- The existence and uniqueness of steady states for a class of chemical reaction networks
- Concordant chemical reaction networks
- Concordant chemical reaction networks and the species-reaction graph
- Atoms of multistationarity in chemical reaction networks
- On the relation between reactions and complexes of (bio)chemical reaction networks
- Preclusion of switch behavior in networks with mass-action kinetics
- Sharper graph-theoretical conditions for the stabilization of complex reaction networks
- A global convergence result for processive multisite phosphorylation systems
- On the existence of the positive steady states of weakly reversible deficiency-one mass action systems
- Power-Law Kinetics and Determinant Criteria for the Preclusion of Multistationarity in Networks of Interacting Species
- Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents (Invited Talk)
- Multiple Equilibria in Complex Chemical Reaction Networks: Semiopen Mass Action Systems
- A Survey of Methods for Deciding Whether a Reaction Network is Multistationary
- Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces
- Persistence and Permanence of Mass-Action and Power-Law Dynamical Systems
- Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property
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