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CPT Pharmacometrics Syst Pharmacol. 2022 Jan 04; doi: 10.1002/psp4.12741. Epub 2022 Jan 04.

An introduction to the full random effects model.

CPT: pharmacometrics & systems pharmacology

Gunnar Yngman, Henrik Bjugård Nyberg, Joakim Nyberg, E Niclas Jonsson, Mats O Karlsson

Affiliations

  1. Department of Pharmacy, Uppsala University, Uppsala, Sweden.
  2. Pharmetheus AB, Uppsala, Sweden.

PMID: 34984855 DOI: 10.1002/psp4.12741

Abstract

The full random-effects model (FREM) is a method for determining covariate effects in mixed-effects models. Covariates are modeled as random variables, described by mean and variance. The method captures the covariate effects in estimated covariances between individual parameters and covariates. This approach is robust against issues that may cause reduced performance in methods based on estimating fixed effects (e.g., correlated covariates where the effects cannot be simultaneously identified in fixed-effects methods). FREM covariate parameterization and transformation of covariate data records can be used to alter the covariate-parameter relation. Four relations (linear, log-linear, exponential, and power) were implemented and shown to provide estimates equivalent to their fixed-effects counterparts. Comparisons between FREM and mathematically equivalent full fixed-effects models (FFEMs) were performed in original and simulated data, in the presence and absence of non-normally distributed and highly correlated covariates. These comparisons show that both FREM and FFEM perform well in the examined cases, with a slightly better estimation accuracy of parameter interindividual variability (IIV) in FREM. In addition, FREM offers the unique advantage of letting a single estimation simultaneously provide covariate effect coefficient estimates and IIV estimates for any subset of the examined covariates, including the effect of each covariate in isolation. Such subsets can be used to apply the model across data sources with different sets of available covariates, or to communicate covariate effects in a way that is not conditional on other covariates.

© 2021 The Authors. CPT: Pharmacometrics & Systems Pharmacology published by Wiley Periodicals LLC on behalf of the American Society for Clinical Pharmacology and Therapeutics.

References

  1. Jonsson EN, Karlsson MO. Automated covariate model building within NONMEM. Pharm Res. 1998;15(9):1463-1468. http://doi.org/10.1023/a:1011970125687 - PubMed
  2. Ribbing J, Jonsson EN. Power, selection bias and predictive performance of the population pharmacokinetic covariate model. J Pharmacokinet Pharmacodyn. 2004;31(2):109-134. http://doi.org/10.1023/b:jopa.0000034404.86036.72 - PubMed
  3. Ivaturi V, Hooker AC, Karlsson MO. Selection bias in pre-specified covariate models. In PAGE Abstract #2228 (Athens, Greece, 2011). - PubMed
  4. Bonate PL. The effect of collinearity on parameter estimates in nonlinear mixed effect models. Pharm Res. 1999;16(5):709-717. http://doi.org/10.1023/a:1018828709196 - PubMed
  5. Gastonguay MR. A full model estimation approach for covariate effects: Inference based on clinical importance and estimation precision. AAPS J. 2004;6:W4354. - PubMed
  6. Wählby U, Jonsson EN, Karlsson MO. Assessment of Actual Significance Levels for Covariate Effects in NONMEM. J Pharmacokin Pharmacodyn. 2001;28(3):231-252. http://doi.org/10.1023/a:1011527125570 - PubMed
  7. Gastonguay MR. Full covariate models as an alternative to methods relying on statistical significance for inferences about covariate effects: a review of methodology and 42 case studies. In PAGE Abstract #2229 (Athens, Greece, 2011). - PubMed
  8. Hu C, Adedokun O, Ito K, Raje S, Lu M. Confirmatory population pharmacokinetic analysis for bapineuzumab phase 3 studies in patients with mild to moderate Alzheimer's disease. J Clin Pharmacol. 2015;55(2):221-229. http://doi.org/10.1002/jcph.393 - PubMed
  9. Karlsson MO. A full model approach based on the covariance matrix of parameters and covariates. In PAGE Abstract #2455 (Venice, Italy, 2012). - PubMed
  10. Novakovic AM, Krekels EHJ, Munafo A, Ueckert S, Karlsson MO. Application of item response theory to modeling of expanded disability status scale in multiple sclerosis. AAPS J. 2017;19(1):172-179. http://doi.org/10.1208/s12248-016-9977-z - PubMed
  11. Brekkan A, Lopez-Lazaro L, Yngman G, et al. A population pharmacokinetic-pharmacodynamic model of Pegfilgrastim. AAPS J. 2018;20(5). http://doi.org/10.1208/s12248-018-0249-y - PubMed
  12. Abrantes JA, Solms A, Garmann D, Nielsen EI, Jönsson S, Karlsson MO. Integrated modelling of factor VIII activity kinetics, occurrence of bleeds and individual characteristics in haemophilia A patients using a full random effects modelling (FREM) approach. In PAGE Abstract #8646 (2018). - PubMed
  13. Nyberg J, Karlsson MO, Jonsson EN. Implicit and efficient handling of missing covariate information using full random effects modelling. In PAGE Abstract #9181 (2019). - PubMed
  14. Friberg LE, Henningsson A, Maas H, Nguyen L, Karlsson MO. Model of chemotherapy-induced Myelosuppression with parameter consistency across drugs. J Clin Oncol. 2002;20(24):4713-4721. http://doi.org/10.1200/jco.2002.02.140 - PubMed
  15. Draper NR, Smith H. “Dummy” variables. Applied Regression Analysis, Third Edition. Hoboken, NJ: John Wiley & Sons, Inc.; 1998; 299-325. - PubMed
  16. Beal S, Sheiner LB, Boeckmann A, Bauer RJ. NONMEM 7.4 User’s Guides (1989-2018). Icon Development Solutions, 2017. - PubMed
  17. Keizer RJ, Karlsson MO, Hooker A. Modeling and simulation workbench for NONMEM: Tutorial on Pirana, PsN, and Xpose. CPT: Pharmacomet Syst Phar. 2013;2(6):50. http://doi.org/10.1038/psp.2013.24 - PubMed
  18. R Core Team. R: A language and environment for statistical computing. R Foundation for Statistical Computing; 2017. - PubMed
  19. Wickham H. Ggplot2: Elegant graphics for data analysis; 2009. - PubMed
  20. Wei T, Simko V. Corrplot: Visualization of a correlation matrix (Version 0.77); 2016. https://cran.r-project.org/package=corrplot. - PubMed
  21. Hennig S, Karlsson MO. Concordance between criteria for covariate model building. J Pharmacokin Pharmacodyn. 2014;41(2):109-125. http://doi.org/10.1007/s10928-014-9350-8 - PubMed
  22. Yngman G, Nordgren R, Freiberga S, Karlsson MO. Linearization of full random effects modeling (FREM) for time-efficient automatic covariate assessment. In PAGE Abstract #8750 (Montreux, Switzerland, 2018). - PubMed
  23. Khandelwal A, Harling K, Jonsson EN, Hooker AC, Karlsson MO. A fast method for testing covariates in population PK/PD models. AAPS J. 2011;13(3). http://doi.org/10.1208/s12248-011-9289-2 - PubMed

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