The estimation of moments: A technical note

  • M. K. Charter


The calculation of several common pharmacokinetic parameters requires estimates of both the area under the curve of the concentration of the drug in a sampled fluid vs. time, and also the first moment about t=0 of this area. It is proposed that the methods used to estimate these quantities should make consistent assumptions about the concentration of the drug. There appears to be an inconsistency in the standard published formulas in the case where concentration is interpolated linearly. A more consistent formula is derived.

Key words

moments AUMC trapezoidal rule mean residence time steady-state volume of distribution 


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  1. 1.
    D. J. Cutler. Theory of the mean absorption time, an adjunct to conventional bioavailability studies.J. Pharm. Pharmacol. 30:476–478 (1978).PubMedCrossRefGoogle Scholar
  2. 2.
    K. Yamaoka, T. Nakagawa, and T. Uno. Statistical moments in pharmacokinetics.J. Pharmacokin. Biopharm. 6:547–558 (1978).CrossRefGoogle Scholar
  3. 3.
    D. P. Vaughan. Theorems on the apparent volume of distribution of a linear system.J. Pharm. Sci. 71:793–795 (1982).PubMedCrossRefGoogle Scholar
  4. 4.
    D. P. Vaughan. Theorem on the apparent volume of distribution and the amount of drug in the body at steady state.J. Pharm. Sci. 73:273–274 (1984).PubMedCrossRefGoogle Scholar
  5. 5.
    S. Riegelman and P. Collier. The application of statistical moment theory to the evaluation ofin vivo dissolution time and absorption time.J. Pharmacokin. Biopharm. 8:509–534 (1980).CrossRefGoogle Scholar
  6. 6.
    A. Dunne and P. King. Estimation of noncompartmental parameters: A technical note.J. Pharmacokin. Biopharm. 17:145–151.Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • M. K. Charter
    • 1
  1. 1.Clinical Pharmacokinetics Group, Medical DirectorateGlaxo Group Research LimitedGreenfordUK

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