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Suppose that you have isolated the enzyme sucrase (able to hydrolyze sucrose into glucose and fructose), and you wish to determine the nature of inhibitor B for this enzyme. You have prepared five different concentrations of substrate (sucrose), and five different concentrations of inhibitor B (plus the control, with zero mM of inhibitor B). The following Table lists the inhibitor B concentrations [I], substrate concentrations [S], and resulting enzyme velocities (Vo) for all six of these experiments:
[I] |
[S] |
Vo |
1/[S] |
1/ Vo |
0 mM |
0.1 mM |
0.333333333333 mM per minute |
|
|
0 mM |
0.2 mM |
0.50 |
|
|
0 mM |
0.3 mM |
0.60 |
|
|
0 mM |
0.4 mM |
0.666666666667 |
|
|
0 mM |
0.5 mM |
0.714285714286 |
|
|
0.1 mM |
0.1 mM |
0.25 |
|
|
0.1 mM |
0.2 mM |
0.333333333333 |
|
|
0.1 mM |
0.3 mM |
0.375 |
|
|
0.1 mM |
0.4 mM |
0.40 |
|
|
0.1 mM |
0.5 mM |
0.416666666667 |
|
|
0.20 mM |
0.1 mM |
0.20 |
|
|
0.20 mM |
0.2 mM |
0.25 |
|
|
0.20 mM |
0.3 mM |
0.272727272727 |
|
|
0.20 mM |
0.4 mM |
0.285714285714 |
|
|
0.20 mM |
0.5 mM |
0.294117647059 |
|
|
0.3 mM |
0.1 mM |
0.166666666667 |
|
|
0.3 mM |
0.2 mM |
0.20 |
|
|
0.3 mM |
0.3 mM |
0.214285714286 |
|
|
0.3 mM |
0.4 mM |
0.222222222222 |
|
|
0.3 mM |
0.5 mM |
0.227272727273 |
|
|
0.40 mM |
0.1 mM |
0.142857142857 |
|
|
0.40 mM |
0.2 mM |
0.166666666667 |
|
|
0.40 mM |
0.3 mM |
0.176470588235 |
|
|
0.40 mM |
0.4 mM |
0.181818181818 |
|
|
0.40 mM |
0.5 mM |
0.185185185185 |
|
|
0.5 mM |
0.1 mM |
0.125 |
|
|
0.5 mM |
0.2 mM |
0.142857142857 |
|
|
0.5 mM |
0.3 mM |
0.150 |
|
|
0.5 mM |
0.4 mM |
0.153846153846 |
|
|
0.5 mM |
0.5 mM |
0.15625 |
|
|
Construct a Michaelis-Menten plot, and a Lineweaver-Burk plot, for all six of these experiments on the same graph (for each plot). Calculate the Vmax, the Km, and the slope (Km/Vmax) for the control (with [I] = 0 mM) and for each non-zero concentration of inhibitor B ([I] = 0.1, 0.2, 0.3, 0.4, and 0.5 mM). Which type of reversible enzyme inhibition is illustrated by inhibitor B?

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