The concentration of a drug in the body CP can be modeled by the equation:
Cp = DG/Vd (ka/ke – ka)(e–ket – e–ket)
where DG is the dosage administered (mg), Vd is the volume of distribution (L), ka is the absorption rate constant (h-1), ke is the elimination rate constant (h-1), and t is the time (h) since the drug was administered. For a certain drug, the following quantities are given: DG = 150mg, Vd = 50L, ka = 1.6 h-I, and ke = 0.4 h-1
(a) A single dose is administered at t = 0. Calculate and plot CP versus t for 10 hours.
(b) A first dose is administered at t = 0, and subsequently four more doses are administered at intervals of 4 hours (i.e., at t = 4, 8, 12, 16). Calculate and plot CP versus t for 24 hours.