Critical analysis of the discrepancy between V(beta) and V(ss) for drugs exhibiting different two-compartment disposition profiles

Abstract

It is well known that in the two-compartment open body model the values of apparent volume of distribution (V(beta)) and volume of distribution at steady state (V(ss)) are never identical. There are at least two conditions when V(beta) significantly overestimates V(ss). The first is when most of a drug is eliminated relatively rapidly but a small fraction of the dose persists and gives rise to an extremely long half-life. The second is when a drug is rapidly cleared from the central compartment with a short half-life. The primary purpose of the current paper was to investigate how different two-compartment disposition profiles affect the magnitude of difference between V(beta) and V(ss). Novel equations have been developed that relate the V(beta)/V(ss) ratio to f1 (fraction of drug elimination associated with the distributive phase) and to beta/alpha (ratio of the exponential coefficients). This paper demonstrates mathematically that an increasing value of f1 is associated with a greater divergence between V(beta) and V(ss). A similar relationship was also found for the divergence between the terminal half-life (t(1/2beta)) and the mean residence time (MRT). An increase in the beta/alpha ratio results in a substantial decrease of this discrepancy and provides a maximal possible value, or an upper limit to the V(beta)/V(ss) ratio. The newly derived equations along with their graphical presentation may serve as an excellent predictive tool for checking the accuracy of the experimentally obtained values of V(beta) and V(ss).