Consider the enzyme-catalyzed conversion of a substrate into a product P in the presence of an inhibitor I with the following properties (mixed inhibition): (i) The inhibitor competes with S to bind the active site of the enzyme with dissoci- ation constant K1 for the complex (EI). (ii) The inhibitor is also capable of binding the enzyme at a secondary site of the enzyme with dissociation constant K{ for the complex (IES). The complex (IES) is unable to form P. iii) The dissociation constants of the (IES) and (EI) complexes satisfy the relation K = K1/2.

Biochemistry
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Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
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Chapter1: Biochemistry: An Evolving Science
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Consider the enzyme-catalyzed conversion of a substrate S into a product
in the
presence of an inhibitor I with the following properties (mixed inhibition):
(i) The inhibitor competes with S to bind the active site of the enzyme with dissoci-
ation constant K¡ for the complex (EI).
(ii) The inhibitor is also capable of binding the enzyme at a secondary site of the
enzyme with dissociation constant K{ for the complex (IES). The complex (IES)
is unable to form P.
iii) The dissociation constants of the (IES) and (EI) complexes satisfy the relation
K{ = K1/2.
What is the value of the ratio vo/(k2 [E]o) when the concentration of the substrate is
[S]o = KM/3 and the concentration of the inhibitor is [I]o = K{/4? Recall that KM is
the Michaelis constant.
Transcribed Image Text:Consider the enzyme-catalyzed conversion of a substrate S into a product in the presence of an inhibitor I with the following properties (mixed inhibition): (i) The inhibitor competes with S to bind the active site of the enzyme with dissoci- ation constant K¡ for the complex (EI). (ii) The inhibitor is also capable of binding the enzyme at a secondary site of the enzyme with dissociation constant K{ for the complex (IES). The complex (IES) is unable to form P. iii) The dissociation constants of the (IES) and (EI) complexes satisfy the relation K{ = K1/2. What is the value of the ratio vo/(k2 [E]o) when the concentration of the substrate is [S]o = KM/3 and the concentration of the inhibitor is [I]o = K{/4? Recall that KM is the Michaelis constant.
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