Physiologically Relevant One-Compartment Pharmacokinetic Models for Skin. 1. Development of Models

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Abstract
Many studies have used pharmacokinetic (compartment) models for skin to predict or analyze absorption of chemicals through skin. In these studies, several different definitions of the rate constants were used. The purpose of this study was to develop a general procedure for relating compartment model rate constants to dermal absorption parameters, such as permeability and partition coefficients, and to assess whether different definitions of the rate constants produce different results. Rate constant expressions were developed by requiring a one-compartment model to match a one-membrane model at specific conditions. Because a membrane model contains more information than a compartment model, a compartment model cannot match the membrane model in all respects. Consequently, many compartment models (i.e., different definitions of the rate constants) can be developed which match the membrane model for different conditions. Using this procedure, 11 different compartment models were developed and compared to the membrane model for four different dermal absorption scenarios. The compartment model that most closely matches the membrane model depends on the specific exposure scenario and what is to be predicted. One of the new compartment models agrees reasonably well with the membrane model, for the cases considered.