Solution of a two-point boundary value model of immobilized enzyme reactions, using an \(S\)-system-based root-finding method

DOI10.1016/S0096-3003(01)00008-XzbMath1016.92013MaRDI QIDQ1855195

Fumihide Shiraishi, Eberhard O. (Editor-in-Chief) Voit

Publication date: 28 January 2003

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

zbMATH Keywords

Newton-Raphson methodtwo-point boundary value problemshooting methodS-systemsbiochemical system theoryTaylor-series methodimmobilized enzyme reactions

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (3)

Evaluation of an S-system root-finding method for estimating parameters in a metabolic reaction model ⋮ A new parametric method to smooth time-series data of metabolites in metabolic networks ⋮ Biochemical systems theory: a review

Cites Work

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• Recasting nonlinear differential equations as S-systems: a canonical nonlinear form
• A comparison of the monomial method and the S-system method for solving systems of algebraic equations
• Finding multiple roots of nonlinear algebraic equations using S-system methodology
• A monomial-based method for solving systems of non-linear algebraic equations
• The monomial method: Extensions, variations, and performance issues
• The monomial method and asymptotic properties of algebraic systems

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