DYNAMICS OF TUMOUR GROWTH: COMPARISON OF GROWTH RATES AND EXTRAPOLATION OF GROWTH CURVE TO ONE CELL.
DYNAMICS OF TUMOUR GROWTH: COMPARISON OF GROWTH RATES AND EXTRAPOLATION OF GROWTH CURVE TO ONE CELL.
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DOI：
10.1038/bjc.1965.32
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发表时间：
1965-06
影响因子：
8.8
通讯作者：
LAIRD, A K
中科院分区：
文献类型：
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作者：
LAIRD, A K
最近我们发现（Laird，1964），小鼠、大鼠和兔的各种肿瘤，无论是移植的还是原发的，其生长都可以用Gompertzian方程很好地描述。这种生长可以被认为是一个受指数阻滞限制的指数过程，因此肿瘤生长被解释为主要（如果不是全部的话）是由于肿瘤细胞的指数增殖，其连续的平均世代时间根据指数方程增加。以及在这些点上比较肿瘤的生长速度。此外，生长曲线已外推回一个细胞的肿瘤大小，并在肿瘤将作为一个单一的细胞，肿瘤生长的初始速率，从一个单一的细胞肿瘤生长的范围内的理论极限大小已经计算出每个肿瘤的时间。从这一分析中出现了几个恒定的关系，这为进一步了解肿瘤生长的一般性质提供了依据。
RECENTLY we have shown (Laird, 1964) that the growth of a variety of tumors of the mouse, rat and rabbit, whether transplanted or primary, is well described by a Gompertzian equation. Such growth may be regarded as an exponential process limited by an exponential retardation, and tumor growth was therefore interpreted as being due mainly, if not entirely, to an exponential proliferation of tumor cells whose successive mean generation times increase according to an exponential equation.For the present study, corresponding points on the growth curves of different tumors have been defined, and the growth rates of the tumors compared at these points. In addition, the growth curves have been extrapolated back toa tumor size of one cell, and the time at which the tumor would have existed as a single cell, the initial rate of tumor growth, and the range of tumor growth from a single cell to the theoretical limiting size have been computed for each tumor. From this analysis several constant relationshave emerged, which provide further insight into the general nature of tumor growth.