This tutorial explains the pharmacokinetics of a prodrug and its active metabolite (or parent drug) using a two-step, consecutive, first-order irreversible reaction as a basic model for prodrug metabolism. In this model, the prodrug is metabolized and produces the parent drug, which is subsequently eliminated. The mathematical expressions for pharmacokinetic parameters were derived step by step. In addition, we visualized these expressions to help understand the relationship between pharmacokinetic parameters easily. For the elimination rate-limited and formation rate-limited metabolism, we analyzed the plasma drug concentration versus time curve of a prodrug administered intravenously.
IntroductionProdrug is a pharmacologically inactive derivative of an active drug and undergoes in vivo biotransformation to release the active drug by chemical or enzymatic cleavages.[1-3] A prodrug strategy is typically used when a pharmacologically active drug has poor solubility or permeability.[1,2] Various chemically or enzymatically labile functional groups have been introduced to improve the properties of the parent drug and decrease the presystemic metabolism.[1,2] Many successful examples have been reviewed in the literature.[1-3] A detailed discussion of prodrugs and their active metabolites (parent drugs) is beyond the scope of this tutorial. Here we focus on the pharmacokinetics of a prodrug and its metabolite to help understand their pharmacokinetic data obtained from preclinical and clinical studies. This will ultimately help define the proper dose of the prodrug needed for efficacy.
Theoretical Analysis
Prodrug KineticsWhen a prodrug is administered orally, it undergoes complicate processes of absorption, distribution, metabolism, and excretion. To understand these processes for metabolites, Cummings and Martin published results on the excretion and accrual of drug metabolites in 1963. [4] This provides the basis for the pharmacokinetics of drug and its metabolites and can be readily applied to study the pharmacokinetics of prodrug. Since then, many theoretical analyses and reviews, related to prodrug pharmacokinetics, have been published.[5-10] A thorough understanding of prodrug kinetics is daunting and may be achieved using sophisticated physiologically based pharmacokinetic (PBPK) modeling. [11,12] To get some insight pertinent to prodrug kinetics, we consider a simple scheme for the fate of a prodrug (P) after intravenous administration (Fig. 1). A fraction of the prodrug (f) is metabolized and produces a parent drug (D) with a first-order formation rate constant, k f(D) . The drug (D) may be further metabolized to a daughter metabolite (DM 1 ) or excreted. The elimination rate constant of the parent drug, k el(D) , is expressed by the sum of the formation rate constant of the daughter metabolite, k f(DM1) , and the urinary excretion rate constant, k ex(D) . More than one metabolite may be formed with a formation rate constant, k f(PM2) , and then excreted with a rate constant, k ex(PM2) . Otherwise, a fractio...