Department of Ecology and Evolutionary Biology, University of California, 321 Steinhaus Hall, Irvine, CA 92617, USA.
Math Biosci Eng. 2013 Jun;10(3):939-57. doi: 10.3934/mbe.2013.10.939.
Oncolytic viruses specifically infect cancer cells, replicate in them, kill them, and spread to further tumor cells. They represent a targeted treatment approach that is promising in principle, but consistent success has yet to be observed. Mathematical models can play an important role in analyzing the dynamics between oncolytic viruses and a growing tumor cell population, providing insights that can be useful for the further development of this therapy approach. This article reviews different mathematical modeling approaches ranging from ordinary differential equations to spatially explicit agent-based models. Problems of model robustness are discussed and so are some clinically important insight derived from the models.
溶瘤病毒专门感染癌细胞,在其中复制,杀死它们,并传播到更多的肿瘤细胞。它们代表了一种有前景的靶向治疗方法,但尚未观察到一致的成功。数学模型在分析溶瘤病毒和不断增长的肿瘤细胞群体之间的动力学方面可以发挥重要作用,为进一步发展这种治疗方法提供有用的见解。本文综述了不同的数学建模方法,从常微分方程到空间显式基于主体的模型。讨论了模型的鲁棒性问题,并讨论了从模型中得出的一些临床重要见解。