In: Biology
1) The enzyme prostaglandin synthase uses aracadonic acid as the substrate and produces product PGG2. If 10mM Ibuprofin inhibits this enzyme as is seen in the 3rd column..
[S](mM) PGG2(Vo mM/min) I (Vo mM/min)
0.5 23.5 16.67
1.0 32.2 25.25
1.5 36.9 30.49
2.5 41.8 37.04
3.5 44.0 38.91
What is the Ki' ? (THE ANSWER IS UNDEFINED, EXPLAINS AND SHOW YOUR WORK PLEASE)
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
so V max = 1/intercept
For inhibited reaction = 1/0.0116 = 82.20 mM/min
For X inhibitor = 1/0.0205 = 48.78 mM/min
Km/Vmax is equal to slope
Km = Vmax * slope
For enzyme
Km = 82.2 *0.0194 = 1.59 mM
For X compound
48.78* 0.0191 =0.931 mM
In presence of inhibitor, both Km and Vmax are decreasing so the inhibition is uncompetitive inhibition.
For uncompetitive inhibition
Kapp = Km / (1+ I/Kapp)
0.931 = 1.59 / (1+ I / 0.931)
0.931 = 1.59 / (0.931 +I) /0.931
0.931 +I / 0.931 = 1.59/0.931
0.931 + I = 1.59
I = 1.59 - 0.931
I = 0.66 mM