Modelling the early growth of ductal carcinoma in situ of the breast
Modelling the early growth of ductal carcinoma in situ of the breast
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DOI：
10.1007/s00285-003-0214-x
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发表时间：
2003-11-01
影响因子：
1.9
通讯作者：
Lewis, CE
中科院分区：
文献类型：
--
作者：
Franks, SJ;Byrne, HM;Lewis, CE
为了模拟乳腺导管原位癌(DCIS)中肿瘤细胞扩张的初始阶段，研究了硬壁圆柱形导管中肿瘤的生长情况。建立了营养限制生长模型，其中细胞运动用Stokes流本构关系来描述。用数值方法和渐近方法研究了材料性质(即粘性)对肿瘤边界形状和细胞与管壁粘连程度的影响。它显示了如何产生稳定的、非平面的界面结构，并且在这些初始阶段，在管壁被打破之前，很少有细胞死亡，并且一个营养丰富的模型通常足以捕捉到这种行为。最后，我们讨论了这种方法与DCIS的相关性，并提出了进一步工作的可能途径。
The growth of a tumour in a rigid walled cylindrical duct is examined in order to model the initial stages of tumour cell expansion in ductal carcinoma in situ (DCIS) of the breast. A nutrient-limited growth model is formulated, in which cell movement is described by a Stokes flow constitutive relation. The effects on the shape of the tumour boundary of the material properties (i.e. the viscosity) and the extent to which the cells adhere to the duct wall are studied using numerical and asymptotic methods. It is shown how stable, non-planar, interface configurations result and that, during these initial stages, before the duct wall has been breached, few cells die and a nutrient-rich model is usually sufficient to capture the behaviour. Finally, we discuss the relevance of this approach to DCIS and suggest possible avenues for further work.