Dattoli G, Guiot C, Delsanto P P, Ottaviani P L, Pagnutti S, Deisboeck T S
ENEA, Dip. FIM, Unità di Fisica Teorica & Matematica Applicata, Centro Ricerche Frascati, 00044 Frascati, Rome, Italy.
J Theor Biol. 2009 Feb 7;256(3):305-10. doi: 10.1016/j.jtbi.2008.10.008. Epub 2008 Oct 21.
Cancer growth dynamics, commonly simulated with a Gompertzian model, is analyzed in the framework of a more recent and realistic model. In particular, we consider the setting of a tumor embedded in a host organ and investigate their interaction. We assume that, at least in some cases, tumor metastasis may be triggered by an 'energetic crisis', when the tumor exceeds the 'carrying capacity' of the host organ. As a consequence, dissemination of clusters of cancer cells is set in motion, with a statistical probability given by a Poisson distribution. The model, although still at a preclinical level, is fully quantitative and is applied, as an example, to the case of prostate cancer. The results confirm that, at least for the more aggressive cancers, metastasis starts very early during tumorigenesis and a quantitative link is found between the tumor's doubling time, its 'aggressiveness' and the metastatic potential.
通常用冈珀茨模型模拟的癌症生长动力学，在一个更新的、更现实的模型框架下进行了分析。具体而言，我们考虑肿瘤嵌入宿主器官的情况，并研究它们之间的相互作用。我们假设，至少在某些情况下，当肿瘤超过宿主器官的“承载能力”时，肿瘤转移可能由“能量危机”引发。结果，癌细胞团簇的扩散开始启动，其统计概率由泊松分布给出。该模型虽然仍处于临床前水平，但完全是定量的，并作为示例应用于前列腺癌病例。结果证实，至少对于侵袭性更强的癌症，转移在肿瘤发生的早期就开始了，并且在肿瘤的倍增时间、其“侵袭性”和转移潜能之间发现了定量联系。
