A comparison of methods for estimating individual pharmacokinetic parameters

Journal of Pharmacokinetics and Biopharmaceutics

Volumn 27, Issue 1, 1999, Pages 103-121

  Amisaki, Takashi ^a   Eguchi, Shinto ^b  

^a SHIMANE UNIVERSITY   (Japan)

^b INSTITUTE OF STATISTICAL MATHEMATICS   (Japan)

Author keywords

Area under the curve; Kullback Leibler distance; Least squares; Nonlinear regression; Pharmacokinetic models; Relative entropy

Indexed keywords

ARTICLE; CALCULATION; INTERMETHOD COMPARISON; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; STATISTICAL ANALYSIS;

COMPUTER SIMULATION; HUMANS; INDIVIDUALITY; LEAST-SQUARES ANALYSIS; MATHEMATICAL COMPUTING; MODELS, BIOLOGICAL; MODELS, CHEMICAL; PHARMACOKINETICS;

EID: 0032775106     PISSN: 0090466X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020686830135     Document Type: Article

References (18)

1. L. B. Sheiner and S. L. Beal. Pharmacokinetic parameter estimates from several least squares procedures; Superiority of extended least squares. J. Pharmacokin. Biopharm. 13:185-201 (1985).
2. D. M. Giltinan and D. Ruppert. Fitting heteroscedastic regression models to individual pharmacokinetic data using standard statistical software. J. Pharmacokin. Biopharm. 17:601-614 (1989).
3. M. Davidian and D. M. Giltinan. Some simple methods for estimating intraindividual variability in nonlinear mixed effects models. Biometrics 49:59-73 (1993).
4. B. A. Belanger, M. Davidian, and D. M. Giltinan. The effect of variance function estimation on nonlinear calibration inference in immunoassay data. Biometrics 52:158-175 (1996).
5. M. Davidian and R. J. Carroll. Variance function estimation J. Am. Statist. Assoc. 82:1079-1091 (1987).
6. P. McCullagh and J. A. Nelder. Generalized Linear Models, 2nd Ed., Chapman and [Hall, London, 1989.
7. T. Amisaki and S. Eguchi. Pharmacokinetic parameter estimations by minimum relative entropy method. J. Pharmacokin. Biopharm. 23:479-494 (1995).
8. J. A. Nelder and D. Pregibon. An extended quasi-likelihood function. Biometrika 74:221-231 (1987).
9. R. W. M. Wedderburn. Quasi-likelihood functions, generalized linear models, and the Gauss-Newton method. Biometrika 61:439-447 (1974).
10. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. Numerical Recipe in C, 2nd Ed., Cambridge University Press, Cambridge, 1992.
11. O. Lahav, S. F. Gull, and D. Lynden-Bell. Distances to clusters of galaxies using maximum entropy. In J. Skilling (ed.), Maximum Entropy and Bayesian Methods, Kluwer, Dordrecht. The Netherlands, 1989, pp. 347-354.
12. S. L. Beal and L. B. Sheiner. Heteroscedastic nonlinear regression. Technometrics 30:327-338 (1988).
13. J. E. Dennis and R. B. Schnabel. Numerical Methods for Unconstrained Optimization and Nonlinear Equations, SIAM, Philadelphia, 1996. (Originally published by Prentice-Hall, Englewood Cliffs, NJ, 1983).
14. C. M. Metzler. Extended least squares (ELS) for pharmacokinetic models. J. Pharm. Sci 76:565-571 (1987).
15. D. Goldberg, What every computer scientist should know about floating-point arithmetic. ACM Comput. Surveys 23:5-48 (1991).
16. C. C. Peck, S. L. Beal, L. W. Sheiner, and A. I. Nichols. Extended least squares nonlinear regression: A possible solution to the "choice of weights" problem in analysis or individual pharmacokinetic data. J. Pharmacokin. Biopharm. 12:545-558 (1984).
17. A. H. Thomson, A. W. Kelman, and B. Whiting. Evaluation of nonlinear regression with extended least squares: Simulation study, J. Pharm. Sci. 74:1327-1330 (1985).
18. L. B. Sheiner and S. L. Beal. Commentary on "Extended least squares (ELS) for pharmacokinetic models." J. Pharm. Sci. 77:731-732 (1988).