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Peptide synthesis catalyzed by proteases. Analysis of a kinetic model for enzymes with acyl-enzyme mechanism of action
Authors:M Iu Gololobov  I L Borisov  V K Shviadas
Abstract:The kinetics of peptide synthesis via transfer of the acyl moiety from activated derivatives of amino acids or peptides (S) to nucleophiles (N) catalyzed by proteases forming an acyl-enzyme intermediate, was analysed. A kinetic model assumes enzymatic hydrolysis of the formed peptide (P), so the kinetic curve for P has a maximum (denoted as pmax). Particular attention was given to the analysis of the effects of the initial concentrations and kinetic constants on pmax. Computer analysis demonstrated that at a given ratio of initial S and N concentrations pmax is affected only by the ratio of the second order rate constants for enzymatic hydrolysis of S and P (alpha) and the ratio of rate constants for an attack of the acyl-enzyme intermediate by nucleophile and water (beta). These conclusions apply regardless of the existence of enzyme forms other than a free enzyme and an acyl-enzyme intermediate. Thus, the kinetically controlled maximum yield of peptide (pmax) can be calculated a priori from the values of alpha and beta which can be readily evaluated from the reference data. Simple explicit expressions were obtained, allowing fairly accurate prediction of pmax for a broad spectrum of S and N initial concentrations.
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