Transl Clin Pharmacol.  2016 Dec;24(4):161-168. 10.12793/tcp.2016.24.4.161.

R-based reproduction of the estimation process hidden behind NONMEM® Part 2: First-order conditional estimation

Affiliations
  • 1Asan Medical Center, University of Ulsan College of Medicine, Seoul 05505, Korea. ksbae@amc.seoul.kr
  • 2PIPET (Pharmacometrics Institute for Practical Education and Training), College of Medicine, The Catholic University of Korea, Seoul 06591, Korea.

Abstract

The first-order conditional estimation (FOCE) method is more complex than the first-order (FO) approximation method because it estimates the empirical Bayes estimate (EBE) for each iteration. By contrast, it is a further approximation of the Laplacian (LAPL) method, which uses second-order expansion terms. FOCE without INTERACTION can only be used for an additive error model, while FOCE with INTERACTION (FOCEI) can be used for any error model. The formula for FOCE without INTERACTION can be derived directly from the extension of the FO method, while the FOCE with INTERACTION method is a slight simplification of the LAPL method. Detailed formulas and R scripts are presented here for the reproduction of objective function values by NONMEM.

Keyword

R NONMEM FOCE

MeSH Terms

Bays
Methods
Reproduction*

Figure

  • Figure 1. NONMEM control file for FOCE without INTERACTION

  • Figure 2. R script for FOCE without INTERACTION

  • Figure 3. NONMEM control file for FOCE with INTERACTION method

  • Figure 4. R script for FOCE with INTERACTION method

  • Figure 5. Comparison of WRES vs time plot in the proportional error model


Cited by  1 articles

Comparison of various estimation methods for the parameters of Michaelis-Menten equation based on in vitro elimination kinetic simulation data
Yong-Soon Cho, Hyeong-Seok Lim
Transl Clin Pharmacol. 2018;26(1):39-47.    doi: 10.12793/tcp.2018.26.1.39.


Reference

1.Kang D., Bae KS., Houk BE., Savic RM., Karlsson MO. Standard Error of Empirical Bayes Estimate in NONMEM® VI. Korean J Physiol Pharmacol. 2012. 16:97–106. DOI: doi: 10.4196/kjpp.2012.16.2.97.
Article
2.Sheiner LB., Beal SL. Evaluation of methods for estimating population pharmacokinetics parameters. I. Michaelis-Menten model: routine clinical pharmacokinetic data. J Pharmacokinet Biopharm. 1980. 8:553–571.
3.Sheiner LB., Beal SL. Evaluation of methods for estimating population pharmacokinetic parameters. II. Biexponential model and experimental pharmacokinetic data. J Pharmacokinet Biopharm. 1981. 9:635–651.
Article
4.Sheiner LB., Beal SL. Evaluation of methods for estimating population pharmacokinetic parameters. III. Monoexponential model: routine clinical pharmacokinetic data. J Pharmacokinet Biopharm. 1983. 11:303–319.
Article
5.Kim MG., Yim DS., Bae KS. R-based reproduction of the estimation process hidden behind NONMEM® Part 1: first-order approximation method. Transl Clin Pharmacol. 2015. 23:1–7. DOI: doi: 10.12793/tcp.2015.23.1.1.
Article
6.Beal SL., Sheiner LB., Boeckmann AJ., Bauer R. NONMEM user's guides. Ellicott city, MD, USA. 1989–2011.
7.Wang Y. Derivation of various NONMEM estimation methods. J Pharmacokinet Pharmacodyn. 2007. 34:575–593. DOI: doi: 10.1007/s10928-007-9060-6.
Article
8.Beal S., Sheiner L. The NONMEM System. Am Stat. 1980. 34:118–119. DOI: doi: 10.2307/2684123.
Article
9.Plan EL., Maloney A., Mentre F., Karlsson MO., Bertrand J.Performance com-parison of various maximum likelihood nonlinear mixed-effects estimation methods for dose-response models. AAPS J. 2012. 14:420–432. DOI: doi: 10.1208/s12248-012-9349-2.
Article
10.Peck CC., Beal SL., Sheiner LB., Nichols AI. Extended least squares nonlinear regression: a possible solution to the "choice of weights" problem in analysis of individual pharmacokinetic data. J Pharmacokinet Biopharm. 1984. 12:545–558.
Article
11.Sheiner LB., Beal SL. Pharmacokinetic parameter estimates from several least squares procedures: superiority of extended least squares. J Pharmaco-kinet Biopharm. 1985. 13:185–201.
Article
12.Peck CC., Sheiner LB., Nichols AI. The problem of choosing weights in nonlinear regression analysis of pharmacokinetic data. Drug Metab Rev. 1984. 15:133–148. DOI: doi: 10.3109/03602538409015060.
Article
Full Text Links
  • TCP
Actions
Cited
CITED
export Copy
Close
Share
  • Twitter
  • Facebook
Similar articles
Copyright © 2024 by Korean Association of Medical Journal Editors. All rights reserved.     E-mail: koreamed@kamje.or.kr