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使用三种数学模型评估MCF-7乳腺癌多细胞球体的生长速率。

Evaluation of the growth rate of MCF-7 breast cancer multicellular spheroids using three mathematical models.

作者信息

Olea N, Villalobos M, Nuñez M I, Elvira J, Ruiz de Almodóvar J M, Pedraza V

机构信息

Department of Radiology, School of Medicine, University of Granada, Spain.

出版信息

Cell Prolif. 1994 Apr;27(4):213-23. doi: 10.1111/j.1365-2184.1994.tb01418.x.

DOI:10.1111/j.1365-2184.1994.tb01418.x
PMID:10465016
Abstract

Growth data on 60 multicellular spheroids of MCF-7 human breast cancer cells were fitted, on an individual basis, by the Gompertz, Bertalanffy and logistic equations. MCF-7 spheroids, initiated and grown in medium containing oestrogens, exhibited a growth rate that decreased continuously as spheroid size increased. Plots of spheroid volume v. time generated sigmoid curves that showed an early portion with an approximately exponential volume increase; a middle region or retardation phase characterized by a continuously decreasing growth rate; and, finally, a late segment or plateau phase approaching zero growth rate, that permitted an estimate of the maximum spheroid size (Vmax). Growth curves generated by MCF-7 spheroids under different experimental conditions (hormones, drugs and radiation exposures) can be compared after normalization. Linearized forms of the fitted Gompertz curves provided a convenient way to express differences in growth rate.

摘要

对60个MCF-7人乳腺癌细胞多细胞球体的生长数据,分别依据个体情况用冈珀茨方程、贝塔朗菲方程和逻辑斯蒂方程进行拟合。在含有雌激素的培养基中起始并生长的MCF-7球体,其生长速率随着球体大小的增加而持续下降。球体体积与时间的关系图生成了S形曲线,该曲线显示早期部分球体体积近似呈指数增长;中间区域或生长迟缓期的特征是生长速率持续下降;最后是晚期部分或平台期,接近零生长速率,这使得能够估计球体的最大尺寸(Vmax)。在归一化后,可以比较不同实验条件(激素、药物和辐射暴露)下MCF-7球体生成的生长曲线。拟合的冈珀茨曲线的线性化形式提供了一种表达生长速率差异的便捷方法。

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