Compartmental models for apical efflux by P-glycoprotein--part 1: evaluation of model complexity.

PURPOSE: With the goal of quantifying P-gp transport kinetics, Part 1 of these manuscripts evaluates different compartmental models and Part 2 applies these models to kinetic data. METHODS: Models were developed to simulate the effect of apical efflux transporters on intracellular concentrations of six drugs. The effect of experimental variability on model predictions was evaluated. Several models were evaluated, and characteristics including membrane configuration, lipid content, and apical surface area (asa) were varied. RESULTS: Passive permeabilities from MDCK-MDR1 cells in the presence of cyclosporine gave lower model errors than from MDCK control cells. Consistent with the results in Part 2, model configuration had little impact on calculated model errors. The 5-compartment model was the simplest model that reproduced experimental lag times. Lipid content and asa had minimal effect on model errors, predicted lag times, and intracellular concentrations. Including endogenous basolateral uptake activity can decrease model errors. Models with and without explicit membrane barriers differed markedly in their predicted intracellular concentrations for basolateral drug exposure. Single point data resulted in clearances similar to time course data. CONCLUSIONS: Compartmental models are useful to evaluate the impact of efflux transporters on intracellular concentrations. Whereas a 3-compartment model may be sufficient to predict the impact of transporters that efflux drugs from the cell, a 5-compartment model with explicit membranes may be required to predict intracellular concentrations when efflux occurs from the membrane. More complex models including additional compartments may be unnecessary.

Models to predict unbound intracellular drug concentrations in the presence of transporters.

Knowledge of free drug intracellular concentration is necessary to predict the impacts of drugs on intracellular targets. The goal of this study was to develop models to predict free intracellular drug concentrations in the presence of apical efflux transporters. The apical efflux transporter P-glycoprotein (P-gp), encoded by human gene multidrug resistance 1 (MDR1), was studied. Apparent permeabilities for 10 compounds in Madin-Darby canine kidney (MDCK) and MDR1-MDCK cell monolayers were obtained experimentally. Six of these compounds were evaluated additionally in the presence of the P-gp inhibitor cyclosporine A. A three-compartment model was developed, and passive and apical efflux clearances (CL(d) and CL(ae), respectively) were estimated. Endogenous canine transporters also were delineated. The three-compartment model was unable to simulate experimentally observed lag times and exhibited systematic bias across the simulations. Next, a five-compartment model with explicit membrane compartments was developed. This model resulted in lower systematic errors and simulated the lag time observed experimentally. Apical efflux was modeled out of the cell or out of the membrane. The five-compartment model with apical efflux out of the membrane predicted marked differences in unbound intracellular concentrations between the apical-to-basolateral and the basolateral-to-apical directions. Upon apical drug addition, large decreases in intracellular concentrations were observed with the efflux transporter. No such difference was predicted upon basolateral drug addition. This is consistent with experimental differences in the impact of P-gp on hepatic and brain distribution and supports the hypothesis that apical efflux occurs out of the apical membrane.