![21. For the L-8 graph below, what is the Km and Vmax for this enzyme? ◆ Series! Linear (Series1) y=1229·4x + 2.9701 ﹁ -0.005 0.005 L-DOPA]](http://img.homeworklib.com/questions/010a07a0-c557-11ea-ba8a-8577e3530ebf.png?x-oss-process=image/resize,w_560)
Homework Answers
Recall that this plot is used for Michaelis –Menten equation. It helps to calculate the constants much easier (via graph)
From Michaelis–Menten equation.
V = Vmax*[S] / (Km + [S])
Where
Vmax = max rate velocity (M/s)
[S] = substrate concentration (M)
Km = Michaelis–Menten constant [M]
V = reaction rate [M/s]
Now… mathematical manipulation
Inverse:
1 / [ V = Vmax*[S] / (Km + [S]) ]
1/V = (Km + [S]) / (Vmax*[S])
Separate species
1/V = (Km) / (Vmax*[S]) + [S] / (Vmax*[S])
1/V = Km / Vmax*[S] + 1/ Vmax
Now, note that:
1/V = Km / Vmax*[S] + 1/ Vmax
1/V = y-axis
Km/Vmax = slope
1/[S] = x-axis
1/Vmax = y-intercept
-1/Km = x-intecept ( when y = 0 )
Now… Plot the your DATA:
x-axis = 1/[S]
y-axis = 1/V
from:
y-axis --> 2.9701 = 1/Vmax
Vmax = 0.3366
slope = Km/Vmax = 1229.4
Km/0.3366 = 1229.4
Km = 1229.4*0.3366
Km = 413.81
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