Ferreira S C, Martins M L, Vilela M J
Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, Caixa Postal 702, 30161-970 Belo Horizonte, Minas Gerais, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Feb;65(2 Pt 1):021907. doi: 10.1103/PhysRevE.65.021907. Epub 2002 Jan 23.
A nutrient-limited model for avascular cancer growth including cell proliferation, motility, and death is presented. The model qualitatively reproduces commonly observed morphologies for primary tumors, and the simulated patterns are characterized by its gyration radius, total number of cancer cells, and number of cells on tumor periphery. These very distinct morphological patterns follow Gompertz growth curves, but exhibit different scaling laws for their surfaces. Also, the simulated tumors incorporate a spatial structure composed of a central necrotic core, an inner rim of quiescent cells and a narrow outer shell of proliferating cells in agreement with biological data. Finally, our results indicate that the competition for nutrients among normal and cancer cells may be a determining factor in generating papillary tumor morphology.
提出了一种用于无血管癌生长的营养受限模型，该模型包括细胞增殖、运动和死亡。该模型定性地再现了原发性肿瘤常见的形态，模拟模式的特征在于其回转半径、癌细胞总数以及肿瘤周边的细胞数量。这些非常不同的形态模式遵循Gompertz生长曲线，但在其表面表现出不同的标度律。此外，模拟肿瘤包含一个由中央坏死核心、静止细胞的内边缘和增殖细胞的狭窄外壳组成的空间结构，这与生物学数据一致。最后，我们的结果表明，正常细胞和癌细胞之间对营养物质的竞争可能是产生乳头状肿瘤形态的一个决定性因素。
