Hierarchical Bayesian inference for HIV dynamic differential equation models incorporating multiple treatment factors

DOI10.1002/bimj.200900173zbMath1197.62148OpenAlexW2028918272WikidataQ41826824 ScholiaQ41826824MaRDI QIDQ3162965

Hulin Wu, Yangxin Huang, Edward P. Acosta

Publication date: 22 October 2010

Published in: Biometrical Journal (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc3507994

zbMATH Keywords

longitudinal datatreatment factorstime-varying drug efficacyBayesian nonlinear mixed-effects modelslong-term HIV dynamics

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Bayesian inference (62F15) Medical applications (general) (92C50)

Related Items (6)

Optimal therapy scheduling for a simplified HIV infection model ⋮ Identifiability analysis of linear ordinary differential equation systems with a single trajectory ⋮ Resistance to protease inhibitors in a model of HIV-1 infection with impulsive drug effects ⋮ Hybrid Bayesian inference on HIV viral dynamic models ⋮ Treatment Monitoring of HIV‐Infected Patients based on Mechanistic Models ⋮ Parameter Estimation and Variable Selection for Big Systems of Linear Ordinary Differential Equations: A Matrix-Based Approach

Uses Software

• IMSL Numerical Libraries

Cites Work

• Modeling HIV dynamics and antiviral response with consideration of time-varying drug exposures, adherence and phenotypic sensitivity
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• Sampling-Based Approaches to Calculating Marginal Densities
• Mathematical Analysis of HIV-1 Dynamics in Vivo
• A Two-Step Approach to Measurement Error in Time-Dependent Covariates in Nonlinear Mixed-Effects Models, With Application to IGF-I Pharmacokinetics
• Assessing antiviral potency of anti-HIV therapies in vivo by comparing viral decay rates in viral dynamic models
• A Joint Model for Nonlinear Mixed-Effects Models With Censoring and Covariates Measured With Error, With Application to AIDS Studies
• Likelihood Inference for Discretely Observed Nonlinear Diffusions
• Population HIV‐1 Dynamics In Vivo: Applicable Models and Inferential Tools for Virological Data from AIDS Clinical Trials
• A Comparison Study of Models and Fitting Procedures for Biphasic Viral Dynamics in HIV‐1 Infected Patients Treated with Antiviral Therapies
• Bayesian Measures of Model Complexity and Fit
• Maximum Likelihood Estimation in Dynamical Models of HIV

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