Bayesian inference for generalized linear mixed model based on the multivariate t distribution in population pharmacokinetic study.

This article provides a fully bayesian approach for modeling of single-dose and complete pharmacokinetic data in a population pharmacokinetic (PK) model. To overcome the impact of outliers and the difficulty of computation, a generalized linear model is chosen with the hypothesis that the errors fol...

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Main Authors: Fang-Rong Yan, Yuan Huang, Jun-Lin Liu, Tao Lu, Jin-Guan Lin
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2013-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC3592804?pdf=render
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author Fang-Rong Yan
Yuan Huang
Jun-Lin Liu
Tao Lu
Jin-Guan Lin
author_facet Fang-Rong Yan
Yuan Huang
Jun-Lin Liu
Tao Lu
Jin-Guan Lin
author_sort Fang-Rong Yan
collection DOAJ
description This article provides a fully bayesian approach for modeling of single-dose and complete pharmacokinetic data in a population pharmacokinetic (PK) model. To overcome the impact of outliers and the difficulty of computation, a generalized linear model is chosen with the hypothesis that the errors follow a multivariate Student t distribution which is a heavy-tailed distribution. The aim of this study is to investigate and implement the performance of the multivariate t distribution to analyze population pharmacokinetic data. Bayesian predictive inferences and the Metropolis-Hastings algorithm schemes are used to process the intractable posterior integration. The precision and accuracy of the proposed model are illustrated by the simulating data and a real example of theophylline data.
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spelling doaj.art-172705b02484490780715e25d4446a172022-12-22T00:54:14ZengPublic Library of Science (PLoS)PLoS ONE1932-62032013-01-0183e5836910.1371/journal.pone.0058369Bayesian inference for generalized linear mixed model based on the multivariate t distribution in population pharmacokinetic study.Fang-Rong YanYuan HuangJun-Lin LiuTao LuJin-Guan LinThis article provides a fully bayesian approach for modeling of single-dose and complete pharmacokinetic data in a population pharmacokinetic (PK) model. To overcome the impact of outliers and the difficulty of computation, a generalized linear model is chosen with the hypothesis that the errors follow a multivariate Student t distribution which is a heavy-tailed distribution. The aim of this study is to investigate and implement the performance of the multivariate t distribution to analyze population pharmacokinetic data. Bayesian predictive inferences and the Metropolis-Hastings algorithm schemes are used to process the intractable posterior integration. The precision and accuracy of the proposed model are illustrated by the simulating data and a real example of theophylline data.http://europepmc.org/articles/PMC3592804?pdf=render
spellingShingle Fang-Rong Yan
Yuan Huang
Jun-Lin Liu
Tao Lu
Jin-Guan Lin
Bayesian inference for generalized linear mixed model based on the multivariate t distribution in population pharmacokinetic study.
PLoS ONE
title Bayesian inference for generalized linear mixed model based on the multivariate t distribution in population pharmacokinetic study.
title_full Bayesian inference for generalized linear mixed model based on the multivariate t distribution in population pharmacokinetic study.
title_fullStr Bayesian inference for generalized linear mixed model based on the multivariate t distribution in population pharmacokinetic study.
title_full_unstemmed Bayesian inference for generalized linear mixed model based on the multivariate t distribution in population pharmacokinetic study.
title_short Bayesian inference for generalized linear mixed model based on the multivariate t distribution in population pharmacokinetic study.
title_sort bayesian inference for generalized linear mixed model based on the multivariate t distribution in population pharmacokinetic study
url http://europepmc.org/articles/PMC3592804?pdf=render
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AT junlinliu bayesianinferenceforgeneralizedlinearmixedmodelbasedonthemultivariatetdistributioninpopulationpharmacokineticstudy
AT taolu bayesianinferenceforgeneralizedlinearmixedmodelbasedonthemultivariatetdistributioninpopulationpharmacokineticstudy
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