Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309, USA.
Bull Math Biol. 2012 Aug;74(8):1789-817. doi: 10.1007/s11538-012-9736-y. Epub 2012 May 26.
Telaprevir, a novel hepatitis C virus (HCV) NS3-4A serine protease inhibitor, has demonstrated substantial antiviral activity in patients infected with HCV. However, drug-resistant HCV variants were detected in vivo at relatively high frequency a few days after drug administration. Here we use a two-strain mathematical model to explain the rapid emergence of drug resistance in HCV patients treated with telaprevir monotherapy. We examine the effects of backward mutation and liver cell proliferation on the preexistence of the mutant virus and the competition between wild-type and drug-resistant virus during therapy. We also extend the two-strain model to a general model with multiple viral strains. Mutations during therapy only have a minor effect on the dynamics of various viral strains, although they are capable of generating low levels of HCV variants that would otherwise be completely suppressed because of fitness disadvantages. Liver cell proliferation may not affect the pretreatment frequency of mutant variants, but is able to influence the quasispecies dynamics during therapy. It is the relative fitness of each mutant strain compared with wild-type that determines which strain(s) will dominate the virus population. This study provides a theoretical framework for exploring the prevalence of preexisting mutant variants and the evolution of drug resistance during treatment with other HCV protease inhibitors or polymerase inhibitors.
替拉瑞韦,一种新型丙型肝炎病毒(HCV)NS3-4A 丝氨酸蛋白酶抑制剂,在感染 HCV 的患者中显示出显著的抗病毒活性。然而,在给药后几天内,体内就检测到了耐药性 HCV 变异体。在此,我们使用两株数学模型来解释 HCV 患者单用替拉瑞韦治疗时耐药性的快速出现。我们考察了回复突变和肝实质细胞增殖对治疗前突变病毒的预先存在以及野生型和耐药型病毒之间竞争的影响。我们还将两株模型扩展到一个具有多个病毒株的一般模型。在治疗过程中发生的突变对各种病毒株的动力学仅有较小的影响,尽管它们能够产生低水平的 HCV 变异体,这些变异体由于适应性劣势本来会被完全抑制。肝实质细胞增殖可能不会影响治疗前突变变体的出现频率,但能够影响治疗过程中的准种动力学。各突变株与野生型相比的相对适应性决定了哪种病毒株将占据病毒群体。本研究为探索其他 HCV 蛋白酶抑制剂或聚合酶抑制剂治疗期间预先存在的突变变体的流行和耐药性的进化提供了理论框架。