Joint Inference on HIV Viral Dynamics and Immune Suppression in Presence of Measurement Errors |
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| Authors: | L. Wu W. Liu X. J. Hu |
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| Affiliation: | 1. Department of Statistics, University of British Columbia, Vancouver, British Columbia V6T 1Z2, Canada;2. Department of Mathematics and Statistics, York University, Toronto, Ontario M3J 1P3, Canada;3. Department of Statistics and Actuarial Science, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada |
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| Abstract: | Summary : In an attempt to provide a tool to assess antiretroviral therapy and to monitor disease progression, this article studies association of human immunodeficiency virus (HIV) viral suppression and immune restoration. The data from a recent acquired immune deficiency syndrome (AIDS) study are used for illustration. We jointly model HIV viral dynamics and time to decrease in CD4/CD8 ratio in the presence of CD4 process with measurement errors, and estimate the model parameters simultaneously via a method based on a Laplace approximation and the commonly used Monte Carlo EM algorithm. The approaches and many of the points presented apply generally. |
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| Keywords: | Laplace approximation Longitudinal data Mixed‐effects Nonlinear models Time‐to‐event |
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