ProblemSet3 - Biochemistry 704 Problem Set 3 Due 03/04/2008...

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Biochemistry 704 Problem Set 3 Due 03/04/2008 1. Consider the following simplified scheme for the enzymatic conversion of a substrate, S, to a product, P: e + S k 1 ! " k -1 e•S k 2 ! e + P a. Using the steady-state approximation (that is, d[e·S]/d t = 0), show that the reaction velocity v is given by the Michaelis–Menten equation: v = " [P] t = k cat [ e ] T [ S ] K M + [ S ] where [e] T = concentration of all enzyme forms, k cat = k 2 , and K M = ( k –1 + k 2 )/ k 1 .
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page 2 of 6 b. What is the observed rate constant when [S] « K M ? (These conditions are referred to as “sub-saturating” or “second-order”.) c. What is the observed rate constant when [S] » K M ? (These conditions are referred to as “saturating” or “first-order”, and the rate constant is V max .) d. What is the observed rate constant when [S] = K M ? 2. The free energy profile (which is actually a “kinetic barrier” diagram) on the next page describes the reaction: e + S k 1 ! " k
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ProblemSet3 - Biochemistry 704 Problem Set 3 Due 03/04/2008...

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