Drug recirculation model with multiple cycles occurring at unequal time intervals

A pharmacokinetic model for enterohepatic recycling has been developed to take into account multiple recirculations likely to occur at various times after intravenous or subcutaneous injection, after infusion, or after a single oral administration of a drug. The times when the gall bladder empties, the duration of infusion and the number of recirculations may be arbitrarily chosen (for simulations) or computed (for optimization) to express the concentration in the central compartment at any time. Without a new theoretical calculation, the area under the concentration curve may be obtained as a function of the model parameters. As an example, the model is applied to an experimental case of four recirculations after oral administration and to a new drug data fitting.