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Avascular growth, angiogenesis and vascular growth in solid tumours: the mathematical modelling of the stages of tumour development

机译:实体瘤中的无血管生长,血管生成和血管生长:肿瘤发展阶段的数学模型

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摘要

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.
机译:实体瘤的生长和发展发生在两个不同的阶段,即无血管生长阶段和血管生长阶段。在前一个生长阶段,肿瘤保持直径为几毫米的扩散受限的休眠状态(参见多细胞球体,原位癌),而在后一个生长阶段,可能发生侵袭和转移。为了完成从无血管生长到血管生长的转变,实体肿瘤可能会将被称为肿瘤血管生成因子(TAF)的可扩散物质分泌到周围组织中。形成相邻血管内膜的内皮细胞以一种有序的事件序列响应该趋化性刺激。形成了毛细芽,其朝着肿瘤迁移,最终渗透到肿瘤中并允许血管生长。本文将介绍几种数学模型,这些模型涉及实体瘤生长和发育的各个阶段。

著录项

  • 作者

    Chaplain, M. A. J.;

  • 作者单位
  • 年度 1996
  • 总页数
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类

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