Rong Libin, Feng Zhilan, Perelson Alan S
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA.
Bull Math Biol. 2007 Aug;69(6):2027-60. doi: 10.1007/s11538-007-9203-3. Epub 2007 Apr 21.
Treating HIV-infected patients with a combination of several antiretroviral drugs usually contributes to a substantial decline in viral load and an increase in CD4(+) T cells. However, continuing viral replication in the presence of drug therapy can lead to the emergence of drug-resistant virus variants, which subsequently results in incomplete viral suppression and a greater risk of disease progression. In this paper, we use a simple mathematical model to study the mechanism of the emergence of drug resistance during therapy. The model includes two viral strains: wild-type and drug-resistant. The wild-type strain can mutate and become drug-resistant during the process of reverse transcription. The reproductive ratio Symbol: see text for each strain is obtained and stability results of the steady states are given. We show that drug-resistant virus is more likely to arise when, in the presence of antiretroviral treatment, the reproductive ratios of both strains are close. The wild-type virus can be suppressed even when the reproductive ratio of this strain is greater than 1. A pharmacokinetic model including blood and cell compartments is employed to estimate the drug efficacies of both the wild-type and the drug-resistant strains. We investigate how time-varying drug efficacy (due to the drug dosing schedule and suboptimal adherence) affects the antiviral response, particularly the emergence of drug resistance. Simulation results suggest that perfect adherence to regimen protocol will well suppress the viral load of the wild-type strain while drug-resistant variants develop slowly. However, intermediate levels of adherence may result in the dominance of the drug-resistant virus several months after the initiation of therapy. When more doses of drugs are missed, the failure of suppression of the wild-type virus will be observed, accompanied by a relatively slow increase in the drug-resistant viral load.
使用几种抗逆转录病毒药物联合治疗HIV感染患者通常会使病毒载量大幅下降,CD4(+) T细胞增加。然而,在药物治疗的情况下持续的病毒复制会导致耐药病毒变体的出现,这随后会导致病毒抑制不完全以及疾病进展风险增加。在本文中,我们使用一个简单的数学模型来研究治疗期间耐药性出现的机制。该模型包括两种病毒株:野生型和耐药型。野生型毒株在逆转录过程中可发生突变并产生耐药性。得到了每种毒株的繁殖率符号:见原文,并给出了稳态的稳定性结果。我们表明,在抗逆转录病毒治疗存在的情况下,当两种毒株的繁殖率接近时,耐药病毒更有可能出现。即使野生型毒株的繁殖率大于1,该毒株也能被抑制。采用一个包括血液和细胞区室的药代动力学模型来估计野生型和耐药型毒株的药物疗效。我们研究了随时间变化的药物疗效(由于给药方案和次优依从性)如何影响抗病毒反应,特别是耐药性的出现。模拟结果表明,完美依从治疗方案将很好地抑制野生型毒株的病毒载量,而耐药变体发展缓慢。然而,中等程度的依从性可能导致治疗开始几个月后耐药病毒占主导地位。当错过更多剂量的药物时,将观察到野生型病毒抑制失败,同时耐药病毒载量相对缓慢增加。