Skip to main content
SpringerLink
Log in

On the transformation technique in pharmacokinetic curve fitting

  • Published:
Journal of Pharmacokinetics and Biopharmaceutics Aims and scope Submit manuscript

Abstract

It is shown that when one nonlinear regression model is a reparametrization of a second model, the parameter estimates, and their standard errors, for one model can be obtained directly from those obtained from fitting the other model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. V. Pedersen. Curve fitting and modeling in pharmacokinetics and some practical experiences with NONLIN and a new program called FUNFIT.J. Pharmacokin. Biopharm. 5:513–531 (1977).

    Article  CAS  Google Scholar 

  2. D. Wong, W. A. Colburn, and M. Gibaldi. Fitting concentration-time data to biexponential equations.J. Pharmacokin. Biopharm. 7:97–100 (1979).

    Article  CAS  Google Scholar 

  3. C. R. Rao.Linear Statistical Inference and Its Applications, 2nd ed. John Wiley & Sons, New York, 1973, p. 338.

    Book  Google Scholar 

  4. R. S. Jennrich and M. L. Ralston. Fitting nonlinear models to data.Annu. Rev. Biophys. Bioeng. 8:195–238 (1979).

    Article  CAS  PubMed  Google Scholar 

  5. Y. Bard.Nonlinear Parameter Estimation. Academic Press, New York, 1974, pp. 176–179.

    Google Scholar 

  6. S. Zacks.The Theory of Statistical Inference. John Wiley & Sons, New York, 1971, pp. 222–227.

    Google Scholar 

  7. R. S. Jennrich. Asymptotic properties of non-linear least squares estimators.Ann. Math. Stat. 40:633–643 (1969).

    Article  Google Scholar 

  8. C. M. Metzler, G. L. Elfring, and A. J. McEwen. A package of computer programmes for pharmacokinetic modelling.Biometrics 30:562 (1974).

    Article  Google Scholar 

  9. E. C. Frome and G. J. Yakatan. Statistical estimation of the pharmacokinetic parameters in the one compartment open model.Commun. Stat.-Simul. Comput. 9:201–222 (1980).

    Article  Google Scholar 

  10. R. W. M. Wedderburn. Quasi-likelihood functions, generalized linear models and the Gauss-Newton method.Biometrika 61:439–447 (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Guelph, NIG 2W1, Guelph, Ontario

    John D. Holt

  2. Department of Biomedical Sciences, University of Guelph, NIG 2W1, Gueiph, Ontario

    William D. Black

Authors
  1. John D. Holt
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. William D. Black
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was partially supported by the National Cancer Institute of Canada and the Natural Sciences and Engineering Research Council of Canada.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Holt, J.D., Black, W.D. On the transformation technique in pharmacokinetic curve fitting. Journal of Pharmacokinetics and Biopharmaceutics 11, 183–187 (1983). https://doi.org/10.1007/BF01061848

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01061848

Key words

Search

Navigation