Question is from Biochemistry, pls explain. 8. An enzyme was obtained in Dr. Cai
ID: 561072 • Letter: Q
Question
Question is from Biochemistry, pls explain.
8. An enzyme was obtained in Dr. Cai's lab. To study the kinetics of this enzyme, a graduate student measured the velocity of the reaction at a substrate concentration of 0.1 mm substrate. He found that after 1 mm competitive inhibitor was added, the initial rate decreased to 1/4 of the original rate. Km, the Michaelis constant, is 0.5 mm. What is the K, the dissociation constant for the inhibitor binding to the enzyme? (Hint: in the presence of the competitive inhibitor, A. 0.33 mM B. 0.45 mm C. 0.14 MM D. 0.28 mM E. 0.9 mm ymax (Si Vo = *)* 189Explanation / Answer
when there is no inhibition, V= VmaxS(/KM+S) (1)
when there is competitive inhibition, Vmax remain the same and V becomes V/4. The equation for competitive inhibition is V= VmaxS/{(KM*(1+I/KI)+S}
V/4= VmaxS/(KM*(1+I/Ki)+S (2), I is the concentration of inhibitor.
taking the ratio Eq.2/Eq,1
KM*(1+I/KI)= 4KM+3S
= 4*0.5+3*0.1= 2.3
1+I/KI= 2.3/KM= 2.3/0.5= 4.6
I/Ki= 3.6
KI= I/KI= 1/3.6= 0.28mM (D is correct)
KI= I/1.3= 1/1,3 mM
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