Modeling antiretroviral drug responses for HIV-1 infected patients using differential equation models

Adv Drug Deliv Rev. 2013 Jun 30;65(7):940-53. doi: 10.1016/j.addr.2013.04.005. Epub 2013 Apr 17.

Abstract

We review mathematical modeling and related statistical issues of HIV dynamics primarily in response to antiretroviral drug therapy in this article. We start from a basic model of virus infection and then review a number of more advanced models with consideration of pharmacokinetic factors, adherence and drug resistance. Specifically, we illustrate how mathematical models can be developed and parameterized to understand the effects of long-term treatment and different treatment strategies on disease progression. In addition, we discuss a variety of parameter estimation methods for differential equation models that are applicable to either within- or between-host viral dynamics.

Publication types

  • Research Support, N.I.H., Extramural
  • Research Support, Non-U.S. Gov't
  • Review

MeSH terms

  • Algorithms
  • Anti-HIV Agents / therapeutic use*
  • HIV Infections / drug therapy*
  • HIV-1
  • Humans
  • Models, Biological*
  • Treatment Outcome

Substances

  • Anti-HIV Agents