Marco Diana E, Cannas Sergio A, Montemurro Marcelo A, Hu Bo, Cheng Shi-Yuan
Laboratorio de Ecología Matemática, Area de Producción Orgánica, Facultad de Ciencias Agropecuarias, Universidad Nacional de Córdoba, Ciudad Universitaria, Córdoba, Argentina.
J Theor Biol. 2009 Jan 7;256(1):65-75. doi: 10.1016/j.jtbi.2008.09.011. Epub 2008 Oct 1.
Occupancy of new habitats through dispersion is a central process in nature. In particular, long-distance dispersal is involved in the spread of species and epidemics, although it has not been previously related with cancer invasion, a process that involves cell spreading to tissues far away from the primary tumour. Using simulations and real data we show that the early spread of cancer cells is similar to the species individuals spread and we suggest that both processes are represented by a common spatio-temporal signature of long-distance dispersal and subsequent local proliferation. This signature is characterized by a particular fractal geometry of the boundaries of patches generated, and a power-law scaled, disrupted patch size distribution. In contrast, invasions involving only dispersal but not subsequent proliferation ("physiological invasions") like trophoblast cells invasion during normal human placentation did not show the patch size power-law pattern. Our results are consistent under different temporal and spatial scales, and under different resolution levels of analysis. We conclude that the scaling properties are a hallmark and a direct result of long-distance dispersal and proliferation, and that they could reflect homologous ecological processes of population self-organization during cancer and species spread. Our results are significant for the detection of processes involving long-range dispersal and proliferation like cancer local invasion and metastasis, biological invasions and epidemics, and for the formulation of new cancer therapeutical approaches.
通过扩散占据新栖息地是自然界中的一个核心过程。特别是,远距离扩散涉及物种和流行病的传播,尽管此前它与癌症侵袭并无关联,癌症侵袭是一个癌细胞扩散到远离原发肿瘤组织的过程。通过模拟和实际数据,我们表明癌细胞的早期扩散类似于物种个体的扩散,并且我们认为这两个过程都由远距离扩散及随后的局部增殖的共同时空特征所表征。这一特征表现为所生成斑块边界的特定分形几何形状,以及幂律缩放的、被打乱的斑块大小分布。相比之下,仅涉及扩散但不涉及随后增殖的侵袭(“生理性侵袭”),如正常人类胎盘形成过程中滋养层细胞的侵袭,并未呈现斑块大小的幂律模式。我们的结果在不同的时间和空间尺度以及不同的分析分辨率水平下都是一致的。我们得出结论,缩放特性是远距离扩散和增殖的一个标志及直接结果,并且它们可能反映癌症和物种传播过程中种群自组织的同源生态过程。我们的结果对于检测涉及远距离扩散和增殖的过程,如癌症局部侵袭和转移、生物入侵和流行病,以及制定新的癌症治疗方法具有重要意义。