Statistical Estimation of the Pharmacokinetic Parameters in the One Compartment Open Model.

Abstract

A comparative blood-level trail is undertaken to evaluate the in vivo performance of drug formulations in human subjects. A known amount of drug is administered and plasma levels are measured at specified times. The resulting concentration-time curve reflects the absorption, distribution and elimination of the drug. The simplest model that represents this kind of data is the one compartment open model. The one compartment open model is nonlinear in the unknown parameters and is usually fit using least squares. Gradient methods often fail for real world data, and the Nelder-Mead simplex algorithm provides a useful alternative. Further, least absolute deviation criteria can be used as an alternative to least squares. Two numerical examples are presented.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1976
Accession Number
ADA031401

Entities

People

  • E. L. Frome
  • G. J. Yakatan

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Absorption
  • Algorithms
  • Computations
  • Computer Programming
  • Computers
  • Convergence
  • Data Analysis
  • Differential Equations
  • Dispersions
  • Dosage Forms
  • Elimination
  • Equations
  • Linear Differential Equations
  • Linear Programming
  • Maximum Likelihood Estimation
  • Simplex Method
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Operations Research
  • Toxicology/Environmental Toxicology