Chaplain M A, Stuart A M
School of Mathematical Sciences, University of Bath, Claverton Down, UK.
IMA J Math Appl Med Biol. 1993;10(3):149-68. doi: 10.1093/imammb/10.3.149.
In order to accomplish the transition from avascular to vascular growth, solid tumours secrete a diffusible substance known as tumour angiogenesis factor (TAF) into the surrounding tissue. Endothelial cells which form the lining of neighbouring blood vessels respond to this chemotactic stimulus in a well-ordered sequence of events consisting, at minimum, of a degradation of their basement membrane, migration, and proliferation. A model mechanism is presented which includes the diffusion of the TAF into the surrounding host tissue and the response of the endothelial cells to the chemotactic stimulus. The model accounts for the main observed events associated with the endothelial cells during the process of angiogenesis (i.e. cell migration and proliferation); the numerical results compare very well with experimental observations. The situation where the tumour (i.e. the source of TAF) is removed and the vessels recede is also considered.
为了实现从无血管生长到血管生长的转变，实体瘤会向周围组织分泌一种名为肿瘤血管生成因子（TAF）的可扩散物质。构成相邻血管内壁的内皮细胞会按照一系列有序的事件对这种趋化刺激做出反应，这些事件至少包括其基底膜的降解、迁移和增殖。本文提出了一个模型机制，其中包括TAF向周围宿主组织的扩散以及内皮细胞对趋化刺激的反应。该模型解释了血管生成过程中与内皮细胞相关的主要观察到的事件（即细胞迁移和增殖）；数值结果与实验观察结果非常吻合。还考虑了肿瘤（即TAF的来源）被切除且血管消退的情况。
