Exercises

1.
Consider drug B from the example, assuming that doses are given every three hours, or L=3. Compute the minimum initial dose C0 that will keep the concentration above the minimum effective level for the first three hours, i.e before the second dose is given.
2.
Consider drug B from the example again, with doses to be given every three hours. Can you find a dose C0 such that the concentration stays below M=8 and above m=1.8 for at least 48 hours?

3.
Suppose that new research on drug B indicates that the values of M and m should be M=7 and m=2.5. Can you find values of C0 and L that produce a safe and effective treatment program? Try at least two sets of values of C0 and L. If your values don't work, then can you suggest a way to change the treatment program to make it safe and effective?

4.
Trials of another drug produced the following data. The concentration just after the drug was administered was 6 mg/ml and 5 hours later the concentration was 2.88 mg/ml. If the maximum safe concentration is 10 mg/ml and the minimum effective concentration is 2 mg/ml, find one set of values of C0 and L that provide a safe and effective treatment program. Make sure you justify your answers.