The dynamic evolution of the power exponent in a universal growth model of tumors
The dynamic evolution of the power exponent in a universal growth model of tumors
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DOI：
10.1016/j.jtbi.2005.10.006
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发表时间：
2006-06-07
影响因子：
2
通讯作者：
Deisboeck, Thomas S.
中科院分区：
文献类型：
--
作者：
Guiot, Caterina;Delsanto, Pier Paolo;Deisboeck, Thomas S.
我们之前已经报道过，由West及其合作者提出的适用于所有生物的普遍生长定律似乎也能够描述肿瘤在最初的指数增长阶段后在体内的生长。与固定幂指数p的假设相反(由West等人假设。为了等于3/4)，我们在本文中使用癌症文献中的实验数据提出了p的动态演化。与应用标度定律研究固体碎裂的结果相似，p的动力学行为与肿瘤血管系统的分形拓扑的演化有关。如果我们的电子实验结果得到临床观察的证实，我们的模型可能被用于诊断目的，标志着一种有效的新血管生成结构的出现。(C)2005爱思唯尔有限公司。保留所有权利。
We have previously reported that a universal growth law, as proposed by West and collaborators for all living organisms, appears to be able to describe also the growth of tumors in vivo after an initial exponential growth phase. In contrast to the assumption of a fixed power exponent p (assumed by West et al. to be equal to 3/4), we propose in this paper a dynamic evolution of p, using experimental data from the cancer literature. In analogy with results obtained by applying scaling laws to the study of fragmentation of solids, the dynamic behaviour of p is related to the evolution of the fractal topology of neoplastic vascular systems. Our model might be applied for diagnostic purposes to mark the emergence of an efficient neo-angiogenetic structure if the results of our in silico experiments are confirmed by clinical observations. (c) 2005 Elsevier Ltd. All rights reserved.