title: Modeling antiretroviral drug responses for HIV-1 infected patients using differential equation models.
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.
authors.affiliation: School of Mathematics & Statistics, Xi'an Jiaotong University, Shaanxi, China.
authors.forename: Yanni
authors.initials: Y
authors.lastname: Xiao
authors.forename: Hongyu
authors.initials: H
authors.lastname: Miao
authors.forename: Sanyi
authors.initials: S
authors.lastname: Tang
authors.forename: Hulin
authors.initials: H
authors.lastname: Wu
mesh_terms: D000465:Algorithms; D019380:Anti-HIV Agents / Q000627:therapeutic use*; D015658:HIV Infections / Q000188:drug therapy*; D015497:HIV-1; D006801:Humans; D008954:Models, Biological; D016896:Treatment Outcome
chemical_list: D019380:Anti-HIV Agents