Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA.
J Biol Dyn. 2012;6 Suppl 1:104-20. doi: 10.1080/17513758.2011.613486. Epub 2011 Sep 20.
Oncolytic viruses preferentially infect and replicate in cancerous cells, leading to elimination of tumour populations, while sparing most healthy cells. Here, we study the cell cycle-specific activity of viruses such as vesicular stomatitis virus (VSV). In spite of its capacity as a robust cytolytic agent, VSV cannot effectively attack certain tumour cell types during the quiescent, or resting, phase of the cell cycle. In an effort to understand the interplay between the time course of the cell cycle and the specificity of VSV, we develop a mathematical model for cycle-specific virus therapeutics. We incorporate the minimum biologically required time spent in the non-quiescent cell cycle phases using systems of differential equations with incorporated time delays. Through analysis and simulation of the model, we describe how varying the minimum cycling time and the parameters that govern viral dynamics affect the stability of the cancer-free equilibrium, which represents therapeutic success.
溶瘤病毒优先感染和复制癌细胞，导致肿瘤群体的消除，同时使大多数健康细胞免受伤害。在这里，我们研究了诸如水疱性口炎病毒（VSV）等病毒的细胞周期特异性活性。尽管它具有强大的细胞毒性作用，但 VSV 在细胞周期的静止或休息阶段不能有效地攻击某些肿瘤细胞类型。为了了解细胞周期的时间进程与 VSV 的特异性之间的相互作用，我们开发了一种用于周期特异性病毒治疗的数学模型。我们使用带有时间延迟的微分方程系统来整合非静止细胞周期阶段所需的最小生物学时间。通过对模型的分析和模拟，我们描述了如何改变最小循环时间和控制病毒动力学的参数会影响无癌平衡的稳定性，这代表了治疗的成功。
