Deakin A S
Growth. 1975 Mar;39(1):159-65.
A model for the growth of a tumor by diffusion is considered for spheroids which are grown in a normal medium in suspension culture. The experimental evidence indicates that, upon the onset of necrosis in the centre of the spheroid, the viable rim thickness decreases relatively slowly. This evidence contradicts the results of the usual model in which the oxygen consumption per unit volume is assumed to be constant. The proposed model assumes that the oxygen concentration is constant above a critical value, and proportional to the concentration below this critical value. The viable rim thickness of the spheroid, as a function of the necrotic radium, varies markedly over the range of the parameters in this model. By suitably choosing these parameters, the results of this model agree with the experimental evidence.
考虑一个关于肿瘤通过扩散生长的模型，该模型适用于在悬浮培养的正常培养基中生长的球体。实验证据表明，在球体中心开始出现坏死时，存活边缘厚度下降相对缓慢。这一证据与通常模型的结果相矛盾，在通常模型中假定单位体积的氧气消耗量是恒定的。所提出的模型假定，氧气浓度在临界值以上是恒定的，在该临界值以下与浓度成正比。球体的存活边缘厚度作为坏死半径的函数，在该模型的参数范围内有显著变化。通过适当地选择这些参数，该模型的结果与实验证据相符。
