Hierarchical mixed-effects model for HIV dynamics

Yunjeong Lee, Yoon Gu Hwang, Hee Dae Kwon, Jun Yong Choi, Jeehyun Lee

Research output: Contribution to journalArticlepeer-review


A hierarchical mixed-effects model is proposed to account for both individual- and population-level variability in human immunodeficiency virus (HIV) dynamics. This model is implemented by formulating the crucial parameters as random variables in an in-host HIV model. Model reduction is used to guide the choice for a minimal set of parameters, whose distributions are estimated by the global two-stage method. We analyze the system of ordinary differential equations with random coefficients and provide numerical simulations illustrating its asymptotic behaviors.

Original languageEnglish
Pages (from-to)1290-1306
Number of pages17
JournalSIAM Journal on Applied Mathematics
Issue number3
Publication statusPublished - 2020

Bibliographical note

Funding Information:
\ast Received by the editors February 20, 2019; accepted for publication (in revised form) March 26, 2020; published electronically May 20, 2020. https://doi.org/10.1137/19M1246031 Funding: The work of the third author was supported by the NRF through grant 2016R1D1A1B04931897 and by the National Research Council of Science \& Technology (NST) grant by the Korea government (MSIP) through award CRC-16-01-KRICT. The work of the fifth author was supported by the NRF through grant 2015R1A5A1009350 and NRF-2016R1A2B4014178. \dagger Department of Computational Science and Engineering, Yonsei University, Korea (yunjung0104@ gmail.com, yoongu.hwang@gmail.com). \ddagger Department of Mathematics, Inha University, Korea (hdkwon@inha.ac.kr). \S Department of Internal Medicine, Severance Hospital, Yonsei University College of Medicine, Korea (seran@yonsei.ac.kr). \P Department of Mathematics \& Department of CSE, Yonsei University, Korea (ezhyun@yonsei. ac.kr).

Publisher Copyright:
© 2020 Society for Industrial and Applied Mathematics.

All Science Journal Classification (ASJC) codes

  • Applied Mathematics


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