DYNAMICS OF TUMOR GROWTH.
DYNAMICS OF TUMOR GROWTH.
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肿瘤生长的动力学。
DOI：
10.1038/bjc.1964.55
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发表时间：
1964-09
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
通常认为，理想条件下的肿瘤生长是一个简单的指数过程，其终止于宿主提供的营养支持的耗尽。然而，对文献的调查表明，肿瘤的指数生长很少被观察到，并且只持续相对较短的时间。当我们考虑那些在足够大的范围内（100到1000倍的生长范围或更大）生长的肿瘤时，我们发现几乎所有这些肿瘤随着肿瘤变大而生长得越来越慢，没有明显的恒定比生长率生长期，就像简单指数生长所预期的那样。在许多情况下，这种生长的持续减速导致直径（如果是实体瘤）或总细胞数的立方根（如果是腹水瘤）与时间的关系非常接近于直线（Mayneord，1932; Schrek，1935; Klein和Revesz，1953; Patt和布莱克福德，1954）。Mayneord（1932）已经表明，如果实体瘤的活跃生长仅限于肿瘤表面的一薄层细胞，则可以很容易地用数学术语解释立方根生长。然而，在实践中，大多数实体瘤不仅在表面生长，而且在腹水肿瘤的情况下，可以对几乎100%的肿瘤细胞的DNA进行Jabel（Baserga，Kisieleski和Halvorsen，1960），这表明几乎所有这些细胞都是活的和增殖的。因此，尽管许多肿瘤的立方根生长已被经验性地建立，但很难将其与肿瘤细胞的增殖在数学上联系起来。本研究提供了一个肿瘤细胞增殖的模型，可以解释观察到的肿瘤生长过程。此外，它将表明，有一个明显的差异之间的连续和定期放缓的肿瘤生长的特点和更突然停止的指数增长时，观察到细菌培养物超过其营养供应。最后，这一新的解释肿瘤生长的影响将讨论有关的概念，宿主肿瘤相互作用。
IT is commonly believed that tumor growth under ideal conditions is a simple exponential process terminated by the exhaustion of the nutritional support provided by the host. However, a survey of the literature shows that exponential growth of tumors has been observed only rarely and then only for relatively brief periods. When we consider those tumors whose growth has been followed over a sufficiently extensive range (100 to 1000-foldrange ofgrowth or more), we find that nearly all such tumors grow more and more slowly as the tumor gets larger, with no appreciable period of growth at a constant specific growth rate as would be expected for simple exponential growth. This continuous deceleration of growth has the consequence in many cases that the diameter (if a solid tumor) or the cube root of total cell number (if an ascites tumor) when plotted against time gives a close approximation to a straight line (Mayneord, 1932; Schrek, 1935; Klein and Revesz, 1953; Patt and Blackford, 1954). Mayneord (1932) has shown that cube root growth could be readily explained in mathematical terms if the active growth of a solid tumor were limited to a thin layer of cells at the surface of the tumor. However, in practice most solid tumors do not grow only at the surface, and in the case of ascites tumors it has been possible to Jabel the DNA of nearly 100 per cent of the tumor cells (Baserga, Kisieleski, and Halvorsen, 1960), indicating that almost all of these cells are viable and proliferating. Hence, although cube root growth has been empirically established for many tumors, it is difficult to relate it mathematically to proliferation of tumor cells.The present study offers a model of tumor cell proliferation that would account for the observed course oftumor growth. Furthermore, it will be shown that there is a distinct difference between the continuous and regular slowing characteristic of tumor growth and the more abrupt cessation of exponential growth observed when bacterial cultures outgrow their nutrient supply. Finally, implications of this new interpretation of tumor growth will be discussed in relation to concepts of hosttumor interaction.