Sahlgrenska Cancer Center, University of Gothenburg, Gothenburg, Sweden.
Cancer Res. 2013 Apr 15;73(8):2407-11. doi: 10.1158/0008-5472.CAN-12-4355. Epub 2013 Feb 7.
In this article, we will trace the historical development of tumor growth laws, which in a quantitative fashion describe the increase in tumor mass/volume over time. These models are usually formulated in terms of differential equations that relate the growth rate of the tumor to its current state and range from the simple one-parameter exponential growth model to more advanced models that contain a large number of parameters. Understanding the assumptions and consequences of such models is important, as they often underpin more complex models of tumor growth. The conclusion of this brief survey is that although much improvement has occurred over the last century, more effort and new models are required if we are to understand the intricacies of tumor growth.
在本文中，我们将追溯肿瘤生长规律的历史发展，这些规律以定量的方式描述了肿瘤质量/体积随时间的增长。这些模型通常以微分方程的形式表示，将肿瘤的生长速率与其当前状态联系起来，从简单的单参数指数增长模型到包含大量参数的更高级模型。理解这些模型的假设和后果很重要，因为它们通常是肿瘤生长更复杂模型的基础。总之，尽管在上个世纪取得了很大的进展，但如果我们要理解肿瘤生长的复杂性，还需要更多的努力和新的模型。
