Chapter 12: Enzyme, Kinetics,Inhibition and Control
Q3.
If there is 10 渭mol of the radioactive isotope 鲁虏P (half-life 14 days) at t=0, how much will 鲁虏P remain at (a) 7 days, (b) 14 days, (c) 21 days,
and (d) 70 days?
Q3.
What are the differences between instantaneous velocity, initial velocity, and maximal velocity for an enzymatic reaction?
Q30.
Sphingosine-1-phosphate (SIP) is important for cell survival. The synthesis of SIP from sphingosine and ATP is catalyzed by the enzyme sphingosine kinase. An understanding of the kinetics of the sphingosine kinase reaction may be important in the development of drugs to treat cancer. The velocity of the sphingosine kinase reaction was measured in the presence and absence of threo-sphingosine, a stereoisomer of sphingosine that inhibits the enzyme. The results are shown below.
[Sphingosine] (饾泹惭) | v鈧 (mg min鈦宦) (no inhibitor) | v鈧 (mg min鈦宦) (with threo-sphingosine) |
2.5 | 32.3 | 8.5 |
3.5 | 40 | 11.5 |
5 | 50.8 | 14.6 |
10 | 72 | 25.4 |
20 | 87.7 | 43.9 |
50 | 115.4 | 70.8 |
Construct a Lineweaver-Burk plot to answer the following questions:
(a) What are the apparent KM and Vmax values in the presence and absence of the inhibitor?
(b) What kind of an inhibitor is threo-sphingosine? Explain.
Q4.
Derive the Michaelis鈥揗enten equation.
Q5.
From the reaction data below, determine whether the reaction is first order or second order and calculate the rate constant.
Time | Reactant |
0 | 6.2 |
1 | 3.1 |
2 | 2.1 |
3 | 1.1 |
4 | 1.3 |
| 5 | 1.1 |
Q6P
From the reaction data below, determine whether the reaction is first order or second order and calculate the rate constant.
Time (s) | Reactant (mM) |
0 | 5.4 |
1 | 4.6 |
2 | 3.9 |
3 | 3.2 |
4 | 2.7 |
5 | 2.3 |
Q7.
For an enzymatic reaction, draw curves that show the appropriate relationships between the variables in each plot below.

Q8.
Explain why it is usually easier to calculate an enzyme鈥檚 reaction velocity from the rate of appearance of product rather than the rate of disappearance of a substrate.
Q9.
Use Cleland notation to describe Ordered and Random sequential reactions and a Ping Pong reaction.