Magdon E, Winterfeld G, Schmidt W
Arch Geschwulstforsch. 1976;46(1):58-71.
Continuing an earlier publication in which the growth of spontaneous mammary carcinomas in female mice of a C3H inbred strain was described, in the present paper the growth rate is expressed by a mathematical function, and is adapted by electronic data processing to the experimental values of 60 tumors classified into seven "growth types". For mathematical description the tumors were conveniently assumed to have a spherical shape, and the main reason for the reduction in volume increase with increasing tumor size was thought to be insufficient supply with oxygen and the essential nutrients S. Including the experimental data of all carcinomas investigated, the minimum concentration of S necessary for mitotic activity of the tumor cells was calculated to be 65% of the normal level. As the average for all the tumors investigated, a time of at least 33 hrs is required for the tumor volume to double.
在之前一篇描述C3H近交系雌性小鼠自发性乳腺癌生长情况的论文基础上，本文用数学函数表示生长速率，并通过电子数据处理使其与60个肿瘤的实验值相匹配，这些肿瘤被分为七种“生长类型”。为了进行数学描述，方便起见假设肿瘤为球形，并且认为随着肿瘤尺寸增大体积增加速率降低的主要原因是氧气和必需营养物质S供应不足。综合所有研究的癌的实验数据，计算得出肿瘤细胞有丝分裂活性所需的S的最低浓度为正常水平的65%。作为所有研究肿瘤的平均值，肿瘤体积翻倍至少需要33小时。
