- Volume 23 Issue 3
The Pharmacokinetic model is a complex nonlinear model with pharmacokinetic parameters that is some-times represented by a complex form of differential equations. A population pharmacokinetic model adds individual variability using the random effects to the pharmacokinetic model. It amounts to the nonlinear mixed effect model. This paper, reviews the population pharmacokinetic model from a statistical viewpoint; in addition, a population pharmacokinetic model is also applied to the real clinical data along with a review of the statistical meaning of this model.
Population pharmacokinetics;mixed effect model;nonlinear function
- 강주섭, 강주희, 이민호 (2001). <임상약동학의 이해>, 도서출판 신일상사.
- 서울대학교 의과대학 (2006). <임상약리학>, 서울대학교 출판부.
- Atkinson, A. J., Abernethy, D. R., daniels, C. E., Dedrick, R. L. and Markey, S. P. (2007). Principles of Clinical Pharmacology, Elsevier, San Diego.
- Beal, S. B. and Sheiner, L. B. (1979). NONMEM User's Guide, Division of Clinical Pharmacology, University of California, San Francisco.
- Boeckmann, A. J., Sheiner, L. B. and Beal, S. L. (1994). NONMEM Users Guide: Part V, NONMEM Project Group, University of California, San Francisco.
- Davidian, M. and Giltinan, D. (1995). Nonlinear Models for Repeated Measurement Data, Chapman and Hall, London.
- DiPiro, J. T., Spruill, W. J., Wade, W. E., Blouin, R. A. and Pruemer, J. M. (2005). Concepts in Clinical Pharmacokinetics, American Society of Health-System Pharmacists.
- Gabrielsson, J. and Weiner, D. (2006). Pharmacokinetic and Pharmacodynamic Data Analysis: Concepts and Applications, Apotekarsocieteten, Swedish Academy of Pharmaceutical Sciences.
- Gibaldi, M. and Levy, G. (1976). Pharmacokinetics in clinical practice, The Journal of the American Medical Association, 17, 1864-1867.
- Harville, D. (1977). Maximum likelihood approaches to variance component estimation and to related problems, Journal of the American Statistical Association, 72, 320-338. https://doi.org/10.2307/2286796
- Jonsson, E. N. and Karlsson, M. O. (1999). Xpose-an S-PLUS based population pharmacokinetic/pharmacodynamic model building aid for NONMEM, Computer Methods and Programs in Biomedicine, 58, 51-64. https://doi.org/10.1016/S0169-2607(98)00067-4
- Laird, N. M. and Ware, J. H. (1982). Random-effects models for longitudinal data, Biometrics, 38, 963-974. https://doi.org/10.2307/2529876
- Lindstorm, M. J. and Bates, D. M. (1990). Nonlinear mixed effects models for repeated measures data, Biometrics, 46, 673-687. https://doi.org/10.2307/2532087
- Racine-Poon, A. (1985). A Bayesian approach to nonlinear random effects models, Biometrics, 41, 1015-1023. https://doi.org/10.2307/2530972
- Samson, A., Lavielle, M. and Mentre, F. (2007). The SAEM algorithm for group comparison tests in longitudinal data analysis based on non-linear mixed-effects model, Statistics in Medicine, 26, 4860-4975. https://doi.org/10.1002/sim.2950
- Wagner, J. G. (1993). Pharmacokinetics for the Pharmaceutical Scientist, Technomic Publishing Co., Inc., Lancaster.
- Wakefiled, J. (1996). The Bayesian analysis of population pharmacokinetic models, Journal of the American Statistican Association, 91, 62-75. https://doi.org/10.2307/2291383
- Estimation Methods for Population Pharmacokinetic Models using Stochastic Sampling Approach vol.28, pp.2, 2015, https://doi.org/10.5351/KJAS.2015.28.2.175
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