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

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Chapter 2 49Enzymatic reactions are as a whole multistage processes. Thesubstrate S <strong>in</strong>itially b<strong>in</strong>ds non-covalently to <strong>the</strong> enzyme E at a special sitecalled <strong>the</strong> active site. The reversible complex <strong>of</strong> substrate S <strong>and</strong> enzyme Eis called <strong>the</strong> Michaelis-Menten complex. It provides <strong>the</strong> propercomb<strong>in</strong>ation <strong>of</strong> reactant <strong>and</strong> catalytic groups <strong>in</strong> <strong>the</strong> active site <strong>of</strong> <strong>the</strong>enzyme (equation 1):E+SK 1K-1Equation 1ESIn <strong>the</strong> active site, after <strong>the</strong> formation <strong>of</strong> <strong>the</strong> Michaelis-Mentencomplex, <strong>the</strong> chemical reaction step takes place <strong>and</strong> <strong>the</strong> enzyme substratecomplex breaks down <strong>in</strong> a slower second step to yield <strong>the</strong> free enzyme E<strong>and</strong> <strong>the</strong> reaction product P (equation 2):ESK 2K-2Equation 2E+PIn this model, <strong>the</strong> second reaction is slower <strong>and</strong> <strong>the</strong>refore is ratelimit<strong>in</strong>g for <strong>the</strong> overall reaction. From this it follows that <strong>the</strong> overall rate<strong>of</strong> enzyme-catalyzed reactions must be proportional to <strong>the</strong> concentration<strong>of</strong> <strong>the</strong> ES complex. At any given <strong>in</strong>stant <strong>in</strong> an enzyme catalyzed reaction,<strong>the</strong> enzyme exists <strong>in</strong> two forms, <strong>the</strong> free or uncomb<strong>in</strong>ed form E <strong>and</strong> <strong>the</strong>comb<strong>in</strong>ed form, <strong>the</strong> ES complex. At low [S], most <strong>of</strong> <strong>the</strong> enzyme will be<strong>in</strong> <strong>the</strong> uncomb<strong>in</strong>ed form E. Under <strong>the</strong>se conditions <strong>the</strong> rate will beproportional to [S] because <strong>the</strong> equilibrium <strong>of</strong> equation 1 will be shiftedtowards <strong>the</strong> formation <strong>of</strong> more ES as [S] is <strong>in</strong>creased. The maximum<strong>in</strong>itial rate <strong>of</strong> <strong>the</strong> catalyzed reaction (V MAX ) is observed when virtually all<strong>of</strong> <strong>the</strong> enzyme is present as ES complex <strong>and</strong> <strong>the</strong> concentration <strong>of</strong> E isextremely small. Under those conditions, <strong>the</strong> enzyme is "saturated" with itssubstrate, Fur<strong>the</strong>r <strong>in</strong>creases <strong>in</strong> [S] will not cause any <strong>in</strong>crease <strong>in</strong> rate. After<strong>the</strong> ES complex breaks down to give <strong>the</strong> product P, <strong>the</strong> enzyme is free tocatalyze <strong>the</strong> transformation <strong>of</strong> ano<strong>the</strong>r substrate molecule. The

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