Balding D, McElwain D L
J Theor Biol. 1985 May 7;114(1):53-73. doi: 10.1016/s0022-5193(85)80255-1.
The corneal limbal vessels of an animal host respond to the presence of a source of Tumour Angiogenesis Factor (TAF) implanted in the cornea by the formation of new capillaries which grow towards the source. This neovasculature can be easily seen and studied and this paper describes a mathematical model of some of the important features of the growth. The model includes the diffusion of TAF, the formation of sprouts from pre-existing vessels and models the movement of these sprouts to form new capillaries as a chemotactic response to the presence of TAF. Numerical results are produced for various values of the parameters which characterize the model and it is suggested that the model might form the framework for further theoretical work on related phenomena such as wound healing or to develop strategies for the investigation of anti-angiogenesis.
动物宿主的角膜缘血管会对植入角膜的肿瘤血管生成因子（TAF）源做出反应，通过形成向该源生长的新毛细血管。这种新血管系统很容易观察和研究，本文描述了该生长过程一些重要特征的数学模型。该模型包括TAF的扩散、从现有血管形成芽，并将这些芽的移动建模为对TAF存在的趋化反应以形成新毛细血管。针对表征该模型的各种参数值给出了数值结果，并表明该模型可能为诸如伤口愈合等相关现象的进一步理论研究或开发抗血管生成研究策略形成框架。
