A simple and highly accurate numerical differentiation method for sensitivity analysis of large-scale metabolic reaction systems

DOI10.1016/J.MBS.2006.11.007zbMath1119.92035OpenAlexW2084346085WikidataQ51922225 ScholiaQ51922225MaRDI QIDQ2382408

Takaaki Ishimatsu, Shingo Furuta, Fumihide Shiraishi, Jarin Akhter

Publication date: 9 October 2007

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2006.11.007

zbMATH Keywords

Sensitivity analysisHigh accuracyBiochemical systems theoryFinite-difference formulatricarboxylic acid cycle

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Numerical differentiation (65D25)

Related Items (6)

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 ⋮ Using dynamic sensitivities to characterize metabolic reaction systems ⋮ Highly accurate computation of dynamic sensitivities in metabolic reaction systems by a Taylor series method ⋮ PENDISC: a simple method for constructing a mathematical model from time-series data of metabolite concentrations

Cites Work

• A comparison of variant theories of intact biochemical systems. I: Enzyme-enzyme interactions and biochemical systems theory
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