School of Mathematics & Statistics, Xi'an Jiaotong University, Shaanxi, China.
Adv Drug Deliv Rev. 2013 Jun 30;65(7):940-53. doi: 10.1016/j.addr.2013.04.005. Epub 2013 Apr 17.
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.
本文主要综述了抗逆转录病毒药物治疗HIV 动力学的数学建模和相关统计问题。我们从病毒感染的基本模型出发，然后考虑药代动力学因素、依从性和耐药性，综述了一些更先进的模型。具体来说，我们说明了如何开发和参数化数学模型，以了解长期治疗和不同治疗策略对疾病进展的影响。此外，我们还讨论了适用于宿主内或宿主间病毒动力学的微分方程模型的各种参数估计方法。
