Journal of Pharmacobio-Dynamics · 1981 · 2.5K citations · 3 references
PharmacyPharmacokineticsPharmacologyNonlinear PharmacokineticsPharmacokinetic ModelingPharmacokinetic-pharmacodynamic ModelingModel BuildingModel EvaluationPharmacokinetics Of AntimicrobialsNonlinear Least SquaresPharmacokinetic CalculationsPharmacokinetic Curve ConstructionPharmacokinetic Model IdentificationPharmacokinetic Parameter AnalysisPharmacokinetic Time Course Modeling
MULTI is a BASIC‑based nonlinear least‑squares program for microcomputers that supports four fitting algorithms and can simultaneously fit up to five user‑defined pharmacokinetic equations to observed data. The program was successfully applied to fit ampicillin and oxacillin time‑course data in humans.
A nonlinear least squares program (MULTI) for microcomputers was developed. The program is written in BASIC programming language. Four algorithms, (1) Gauss-Newton method, (2) damping Gauss-Newton method, (3) modified Marquardt method and (4) simplex method, can be used for nonlinear curve fitting in MULTI. Up to five pharmacokinetic equations, which are voluntarily defined by the user, are simultaneously fitted to observed time courses. The executions of MULTI are demonstrated for time courses of ampicillin and oxacillin in man.
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A Simplex Method for Function Minimization
J. A. Nelder, R. Mead · The Computer Journal · 1965 · 28.9K citations