Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development
Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development
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DOI：
10.1016/0895-7177(96)00019-2
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发表时间：
1996-03-01
影响因子：
--
通讯作者：
Chaplain, MAJ
中科院分区：
文献类型：
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作者：
Chaplain, MAJ
实体瘤的生长和发展发生在两个不同的阶段-无血管生长阶段和血管生长阶段。在前一个生长阶段，肿瘤保持在直径为几毫米的扩散受限的休眠状态（参见图1）。多细胞球体、原位癌），而在生长后期，可能发生侵袭和转移。为了实现从无血管到血管生长的转变，实体瘤可以分泌称为肿瘤血管生成因子（TAF）的可扩散物质到周围组织中。形成邻近血管衬里的内皮细胞以有序的事件序列对这种趋化刺激做出反应。形成毛细血管芽，其向肿瘤迁移，最终穿透肿瘤并允许血管生长发生。本文将提出几个数学模型，处理实体瘤的生长和发展的各个阶段。
The growth and development of solid tumours occurs in two distinct stages-the avascular growth phase and the vascular growth phase. During the former growth phase the tumour remains in a diffusion-limited, dormant state of a few millimetres in diameter (cf. multicell spheroids, carcinoma in situ) while during the latter growth phase, invasion and metastasis may take place. In order to accomplish the transition from avascular to vascular growth, solid tumours may secrete diffusible substances known as tumour angiogenesis factors (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. Capillary sprouts are formed which migrate towards the tumour, eventually penetrating it and permitting vascular growth to take place. This paper will present several mathematical models which deal with the various stages of growth and development of solid tumours.