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Metabolic control analysis of trio enzymes system
Authors:Mustafa Bayram  Necmettin Yildirim
Institution:

Yildiz Teknik Universitesi, Fen-Edebiyat Fakultesi, Matematik Bolumu, 34210 Davutpasa-Eenler/Istanbul, Turkey

Abstract:For practical purposes the calculation of rate constants is not particularly valuable, since their physical significance is not clear. Of greater practical use are metabolic control coefficients and elasticities. Given the definition of the flux control coefficients View the MathML source, concentration control coefficient View the MathML source and elasticity View the MathML source. We can calculate symbolic formulae for these using computer algebra techniques. These are then functions of Vmax, Km, Ki enzyme and concentrations. Having derived estimates of Vmax, Km, Ki using the fitting method we can then calculate values of the control coefficients and elasticities. Furthermore we can calculate the metabolic control parameters using symbolic values for the conventional kinetic parameters. Using these we have verified the summation and connectivity theorems. This is a useful cross check on the reliability of the calculations.
Keywords:Gröbner basis  Enzyme kinetics  Metabolic control analysis
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