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Advances in the stereoselective synthesis of antifungal agents and ...

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Chapter 2 52This equation can be fur<strong>the</strong>r simplified because <strong>the</strong> maximum velocitywill occur when <strong>the</strong> enzyme is saturated <strong>and</strong> [ES]=[E] 0 . V MAX can <strong>the</strong>n bedef<strong>in</strong>ed as K 2 [E] 0 . Substitution <strong>in</strong>to eq.8 leads to <strong>the</strong> Michaelis-Mentenequation 9:v =V MAX [S]Km + [S]Equation 9: Michaelis-Menten equationThe Michaelis-Menten equation 9 expresses <strong>the</strong> rate equation for <strong>the</strong>enzyme catalyzed transformed <strong>of</strong> one s<strong>in</strong>gle substrate.2.2.3 SpecificitySelectivity constitutes <strong>the</strong> major syn<strong>the</strong>tic value <strong>of</strong> enzyme catalysts.Because enzymes are large chiral molecules with a unique structure at <strong>the</strong>active site, <strong>the</strong>y can be highly selective for certa<strong>in</strong> types <strong>of</strong> substratestructures <strong>and</strong> reactions. Useful types <strong>of</strong> enzyme catalyzed reactions<strong>in</strong>clude <strong>the</strong> chemoselective reaction <strong>of</strong> def<strong>in</strong>ed functional groups <strong>in</strong> a givenmolecule. The reactions are:RegioselectiveEnantioselective with racemic substratesEnantioselective with prochiral substratesDiasteroselectiveAll such selective reactions occur because dur<strong>in</strong>g <strong>the</strong> reaction <strong>the</strong>prochiral or chiral reactants form diasteromeric enzyme transition statecomplexes that differ <strong>in</strong> transition state energy (G#).2.2.3.1. K<strong>in</strong>etic resolution <strong>of</strong> a racemateIn <strong>the</strong> k<strong>in</strong>etic resolution <strong>of</strong> a racemate <strong>the</strong> two enantiomeric substratesare compet<strong>in</strong>g for <strong>the</strong> same active site <strong>of</strong> <strong>the</strong> enzyme E. If A <strong>and</strong> B are twoenantiomers, <strong>the</strong> reaction scheme is as follows (Scheme 2.9):

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