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通过小鼠体内和体外可移植乳腺癌的生长阐述的转移生长数学模型。

A mathematical model for metastatic growth illustrated by in vivo and in vitro growth of a transplantable mammary carcinoma in mice.

作者信息

Fuchshuber P, Günther M, Feaux De Lacroix W, Fischer R

出版信息

Anticancer Res. 1986 Jul-Aug;6(4):819-27.

PMID:2428282
Abstract

We analysed the growth pattern of metastases in C3H-mice produced by i.v. injection (tail vein) of tumor cell suspensions of mammary carcinoma HB. Although the ordinary Gompertz equation generally corresponds well to tumor growth in animals and men, we found it inadequate to describe the growth of lung metastases in our model. The morphometric analysis and growth kinetics (LI/GF) of the metastases show a biphasic pattern. The first phase is characterized by a strictly avascular growth and nutrition by diffusion, the second phase is initiated by tumor angiogenesis. To analyze these observations we developed a new mathematical equation which fits particularly well to the metastatic growth curve. We conclude that the present model is appropriate for the analysis of tumor angiogenesis, especially to study factors, which influence the development of a tumor specific vascular system.

摘要

我们分析了通过静脉注射(尾静脉)乳腺癌HB肿瘤细胞悬液在C3H小鼠中产生的转移灶生长模式。尽管普通的戈珀兹方程通常与动物和人类肿瘤生长情况吻合良好,但我们发现它不足以描述我们模型中肺转移灶的生长情况。转移灶的形态计量分析和生长动力学(LI/GF)呈现双相模式。第一阶段的特征是严格的无血管生长以及通过扩散进行营养供应,第二阶段由肿瘤血管生成启动。为分析这些观察结果,我们开发了一个新的数学方程,该方程与转移生长曲线拟合得特别好。我们得出结论,当前模型适用于肿瘤血管生成分析,尤其适用于研究影响肿瘤特异性血管系统发育的因素。

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A mathematical model for metastatic growth illustrated by in vivo and in vitro growth of a transplantable mammary carcinoma in mice.通过小鼠体内和体外可移植乳腺癌的生长阐述的转移生长数学模型。
Anticancer Res. 1986 Jul-Aug;6(4):819-27.
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[Applicability of the Gompertz function for the mathematical description of tumor growth of transplanted mammary carcinoma of the C3H mouse using a computer program].[使用计算机程序,Gompertz函数对C3H小鼠移植性乳腺癌肿瘤生长进行数学描述的适用性]
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