The enzyme dragonase was assayed at increasing substrate concentrations with and
ID: 80549 • Letter: T
Question
The enzyme dragonase was assayed at increasing substrate concentrations with and without a reversible inhibitor. The following shows the Lineweaver-Burk plots of the results: i. Calculate Km and Vmax in the absence of inhibitor and in the presence of 50 nM inhibitor. Show your work ii. You know this is a reversible inhibitor and it is a competitive, mixed or uncompetitive inhibitor. What type of inhibitor is this enzyme based on your results? Explain. iii. In each assay there was 1.5 times 10^-6 u mole of enzyme. What is the turnover number for the enzyme in the absence of inhibitor? iv. What is the catalytic efficiency of that reaction in the absence of inhibitor?Explanation / Answer
1 - Lineweaver-Burk equation is given by
1/Vo = (Km/Vmax) 1/S+ 1/Vmax
Comparing this equation with Y=aX + c
where a is the slope and c is the intercept
I/Vmax = intercept
so V max = 1/intercept
For no-inhibited reaction =
1/2.032 = 0.492 micromol/min
For 50nm inhibitor =
1/2.6649 = 0.375 micromol/min
Km/Vmax is equal to slope
Km = Vmax * slope
For no-inhibitor enzyme
Km = 0.492 * 0.9997= 0.491 micromol
For 50nm inhibitor
0.375 * 0.9474
= 0.355 micromol
2-
From the above calculation we can see that Km and Vmax are decreased in case of 50nM inhibitor.
If we compare the decrease in Km and Vmax with the given types of inhibitor we will find that the inhibition is uncompetitive inhibition.
3- Given that the initial enzyme concentration is 1.5 * 10-4 micromol
Turnover is given by the
Kcat = Vmax/ Enzyme concentration
= 0.492 / 1.5 * 10-4
0.328 * 104
3.28 * 103 min-1
4- Catalytic efficiency is given by
Kcat/ Km
= 3.28 * 103 / 0.491
6.68 * 103 micromol-1 min-1
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