Insufficiency of chemical network model integration using a high-order Taylor series method

DOI10.1007/S12190-009-0275-0zbMath1190.92051OpenAlexW2041405574MaRDI QIDQ980416

Ryan M. Brown

Publication date: 29 June 2010

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-009-0275-0

zbMATH Keywords

dynamic programmingordinary differential equationskinetic modelTaylor series methodnonlinear dynamical system

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Applications of mathematical programming (90C90) Classical flows, reactions, etc. in chemistry (92E20) Dynamical systems in biology (37N25) Biochemistry, molecular biology (92C40) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical problems in dynamical systems (65P99)

Uses Software

• RODAS

Cites Work

• The existence and uniqueness of steady states for a class of chemical reaction networks
• Stiffness in numerical initial-value problems
• Combinatorics of partial derivatives
• Solving Ordinary Differential Equations I
• Fast algorithms for genegrating integer partitions
• Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property
• Multiple Equilibria in Complex Chemical Reaction Networks: II. The Species-Reaction Graph
• Representation of Dihedral Groups by Means of Perspectivities
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