Name___[Sample Solution]___    CKM:  Makoid-Banakar Drug Dissolution

DM Exercise 5

Construct a dissolution profile for 400 mg of a drug with total dissolution in 2 hours, using the following Makoid-Banakar dissolution model where n = 2.2:

(a) Find the derivative of drug_d(t) (which D-Rules do you need here?), and a formula for t_peak by setting this derivative equal to zero and solving for t.

(b) Using (a) above, solve for the values of k and c, and write out the final form of drug_d(t).







(c) Using each of the functions below, compute the percentage dissolution for each one after 15 minutes. Also, accurately label the plot below with these values.






d) Suppose that you want to select a dissolution profile in which t_max_rate occurs as close as possible to 10 minutes after dissolution begins. Which dissolution model above should you select? To get full credit you must give a complete math argument for your choice.