Real-Time Analytical Solutions as Series Formulas and Heaviside off/on Switch Functions for Multiple Intermittent Intravenous Infusions in One- and Two-Compartment Models

Pharmacokinetic compartment models are the only that can extract pharmacokinetic parameters from data collected in clinical studies but their estimates lack accuracy, explanations and physiological significance. The objective of this work was to develop particular solutions drug concentration AUC form mathematical series Heaviside functions for repetitive intermittent infusions one- two-compartment models, as a function dose number total time using differential calculus. It demonstrated central peripheral volumes determined regression analysis aminoglycoside antibiotic Sisomicin plasma represent actual body fluid accessible by drug. peak were also calculated number. is shown intercompartmental momentary distribution equilibrium be used determine drug’s apparent volume within any dosing interval multi-compartment models. These carry out simulations with one-compartment model. In conclusion, open mammillary model fully explained sisomicin through new concept distribution.