Applied and Computational Mathematics and Ecology and Evolutionary Biology , Princeton University , Princeton, NJ 08544-1003 , USA.
Interface Focus. 2012 Aug 6;2(4):397-406. doi: 10.1098/rsfs.2011.0102. Epub 2012 Feb 1.
The application of mathematical models in biology and medicine has a long history. From the sparse number of papers in the first half of the twentieth century with a few scientists working in the field it has become vast with thousands of active researchers. We give a brief, and far from definitive history, of how some parts of the field have developed and how the type of research has changed. We describe in more detail just two examples of specific models which are directly related to real biological problems, namely animal coat patterns and the growth and image enhancement of glioblastoma brain tumours.
数学模型在生物学和医学中的应用有着悠久的历史。从二十世纪上半叶为数不多的论文和少数几位从事该领域工作的科学家，发展到现在已经拥有成千上万的活跃研究人员。我们简要介绍了该领域的一些发展情况，以及研究类型的变化，远非定论。我们更详细地描述了两个与实际生物学问题直接相关的特定模型的例子，即动物皮毛图案和神经胶质瘤脑肿瘤的生长和图像增强。
