A Geometric Inequality in Pharmacokinetics
Abstract
**Please note that the full text is embargoed** ABSTRACT: The arithmetic-geometric mean inequality is used to give a lower bound for the average concentration in a two-compartmental model in pharmacokinetics. A geometric interpretation is given to relate concentration to the area of a rectangle as a function of time. Generalization to multi-compartmental models is discussed. Formulas for a variable dosage regimen are derived using concepts from engineering economy and mathematics of finance.