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...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
Public Library of Science (PLoS)
2013-01-01
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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. |
first_indexed | 2024-12-11T18:52:55Z |
format | Article |
id | doaj.art-172705b02484490780715e25d4446a17 |
institution | Directory Open Access Journal |
issn | 1932-6203 |
language | English |
last_indexed | 2024-12-11T18:52:55Z |
publishDate | 2013-01-01 |
publisher | Public Library of Science (PLoS) |
record_format | Article |
series | PLoS ONE |
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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