Exercise on Enzyme Kinetics |
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1. The chart below shows two enzymes. Enzyme X has two substrates that have different KM's. Enzyme Y has a different Vmax, but its substrate does have the same KMas one of the Enzyme X substrates. Because this is a hypothetical exercise, no units were assigned for [S] or v0 .
From the chart alone, which two plots represent the two substrates for Enzyme X?
Which substrate has the lower KM? What is the Vmax for X?
Now use the data and determine the Vmax and KMfor plot A:
Vmax = KM=
Calculate this by substituting one set of data into the Michaelis-Menton equation and solving for either Vmax or KM.
Repeat the same calculations for plot B: Vmax = KM=
What calculation do you need to make for plot C? What is the result?
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2. The chart in exercise 1 was made in Excel using this formula for calculating v0 :
= (a2*Vmax )/(a2+KM) where a2 was the first cell with a value for [S] and numbers were assigned for Vmax and KM. If you have access to Excel, prepare to make a similar chart by entering a column of values for [S] ranging from 0 to 1000 mM, increasing by 50 mM for each line. (If you're lazy, you can do this by making the second cell = the first cell + 50 and then copying and pasting.)
a. Calculate v0 with Vmax = 800 and KM= 100.
b. Calculate v0 with Vmax = 600 and KM= 100. If you do this by copying the formula from
the second column, make sure this still uses a2, not b2.
c. Calculate v0 with Vmax = 1,000 and KM= 200.
Make a scatter plot with lines using all three sets of data. Show major gridlines for the x axis and adjust the x axis scale to a maximum of 1,000 (800 also works well).
3. Evaluate the curves generated in question 2 by answering the questions.
a. Can you identify the Vmax for each curve?
b. Can you tell that the Vmax for each curve is different?
c. Given the Vmax for each curve, would you be able to identify the KM?
4. Now return to column a ([S]) and add [S] up to 10,000 in increments of 1,000. Copy and paste the formulas for v0 so that you have the additional values, and prepare a chart for all three curves that includes these values. Adjust the x axis scale to maximum of 10,000.
Answer a-c from question 3 for the revised chart.
d. From what you have been told about enzyme behavior in the cell, is it more important
to know the Vmax or the KMto be able to compare two different enzymes?
5. If time permits, repeat question 2 with these values:
a. Calculate v0 with Vmax = 800 and KM= 100.
b. Calculate v0 with Vmax = 800 and KM= 200.
c. Calculate v0 with Vmax = 800 and KM= 300.
Make a scatter plot with lines using all three sets of data as before. This is your Michaelis-Menton chart to show competitive inhibition.
Convert the data to Lineweaver-Burk data by following these steps:
a. Prepare a column = 1/[S] in column f. Do not use [S] = 0, but start with
1/[S] = 1/50 in cell f3.
b. Prepare a column of 1/v0 for Lineweaver-Burk by entering this formula:
= (100/800)*f3+1/800.
c. Repeat this for the other two plots. The formulas will be =(200/800)*f3+1/800 and
=(3/8)*f3+1/800.
Plot the data. In order to see the y-intercepts, you will have to add a linear trendline for each plot, and in order to see the x-intercepts each trendline must extend backward by 0.010 (check options for each trendline). I've found it difficult to see the y-axis without changing its weight, and I also find it helpful to adjust the scales on both axes.
6. Evaluate your Lineweaver-Burk chart.