Drug elimination removes a parent drug from the body's measured parent-drug pool through drug metabolism or excretion. Redistribution from blood to a tissue changes plasma concentration but does not by itself eliminate the drug from the body. A mass balance separates input, output and transfers between compartments. [ref]
Population Pharmacokinetics Guidance for Industry by the FDA. 2022, pharmacokinetic model development and concentration-time analysis
For a one-compartment model with no input and first-order elimination, gives . Equal fractions disappear in equal time intervals. By contrast, a saturated elimination route can approach removal of equal amounts per interval. The latter produces a different concentration-time curve and cannot be assumed to have a concentration-independent half-life.
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