An evolutionary approach to enzyme kinetics: Optimization of ordered mechanisms

DOI10.1007/BF02458290zbMath0796.92013OpenAlexW4233642943MaRDI QIDQ1319902

Thomas Wilhelm, Reinhart Heinrich, Edda Hoffmann-Klipp

Publication date: 9 October 1994

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02458290

zbMATH Keywords

nonlinear optimizationconcentrationscomplete set of solutionsbi-uni- mechanismscalculation of rate constantsequilibrium constantmaximal reaction ratesMichaelis constantsone-substrate-one-product reactionsoptimal kinetic designoptimal kinetic parametersordered uni-uni- reactionsunbranched enzymic reactions

Mathematics Subject Classification ID

Differential games and control (49N70) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Chemical kinetics in thermodynamics and heat transfer (80A30) Pursuit and evasion games (49N75)

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Cites Work

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• Minimization of intermediate concentrations as a suggested optimality principle for biochemical networks. I: Theoretical analysis
• A theoretical approach to the evolution and structural design of enzymatic networks; linear enzymatic chains, branched pathways and glycolysis of erythrocytes