Computation and analysis of time-dependent sensitivities in generalized mass action systems

DOI10.1016/J.JTBI.2005.02.013zbMath1442.92061OpenAlexW2073611314WikidataQ51633466 ScholiaQ51633466MaRDI QIDQ776568

John H. Schwacke, Eberhard O. (Editor-in-Chief) Voit

Publication date: 9 July 2020

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2005.02.013

zbMATH Keywords

sensitivity analysismathematical modelingsystem dynamicssystems biologybiochemical systems theory

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Systems biology, networks (92C42)

Related Items (9)

Parameter estimation for metabolic networks with two stage Bregman regularization homotopy inversion algorithm ⋮ Calculation errors of time-varying flux control coefficients obtained from elasticity coefficients by means of summation and connectivity theorems in metabolic control analysis ⋮ A reliable Taylor series-based computational method for the calculation of dynamic sensitivities in large-scale metabolic reaction systems: algorithm and software evaluation ⋮ Biochemical systems theory: a review ⋮ Investigation of the performance of fermentation processes using a mathematical model including effects of metabolic bottleneck and toxic product on cells ⋮ Highly accurate computation of dynamic sensitivities in metabolic reaction systems by a Taylor series method ⋮ Methods for and results from the study of design principles in molecular systems ⋮ Analysis of operating principles with S-system models ⋮ Controllability of non-linear biochemical systems

Uses Software

• Matlab
• GSL
• ESSYNS

Cites Work

• Unnamed Item
• Biochemical systems theory and metabolic control theory: I. Fundamental similarities and differences
• Biochemical systems theory and metabolic control theory: II. The role of summation and connectivity relationships
• A Taylor-series solution in Cartesian space to GMA-system equations and its application to initial-value problems
• Comparative characterization of the fermentation pathway of Saccharomyces cerevisiae using biochemical systems theory and metabolic control analysis: Model definition and nomenclature
• Sensitivity analysis of stoichiometric networks: an extension of metabolic control analysis to non-steady state trajectories
• An efficient method for calculation of dynamic logarithmic gains in biochemical systems theory
• Efficient Solution of Nonlinear Ordinary Differential Equations Expressed in S-system Canonical Form

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