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The classical method of ob ta in ing areas in terms of kinetic constants involves the following steps: (a) writ ing the differential equat ions for the mode l ; (b) ob ta in ing the Laplace t ransform (ai) for the a m o u n t in a given compar tmen t at t ime t (Ai); (c) tak ing the an t i t ransform which provides the expression for A~ which is a polyexponent ia l equa t ion ; (d) in tegrat ing the polyexponent ia l equa t ion between the limits of t = 0 and t = ~ ; and (e) simplifying the result. The last step in this sequence often involves horrendous algebra.

Rapid method of obtaining area under curve for any compartment of any linear pharmacokinetic model in terms of rate constants