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Diana D. E. Marco; Sergio S. A. Cannas; Marcelo M. A. Montemurro; Bo Hu; Shiyuan Cheng. |
The invariance of some system properties over a range of temporal and/or spatial scales is an attribute of many processes in nature1, often characterised by power law functions and fractal geometry2. In particular, there is growing consensus in that fat-tailed functions like the power law adequately describe long-distance dispersal (LDD) spread of organisms 3,4. Here we show that the spatial spread of individuals governed by a power law dispersal function is represented by a clear and unique signature, characterised by two properties: A fractal geometry of the boundaries of patches generated by dispersal with a fractal dimension D displaying universal features, and a disrupted patch size distribution characterised by two different power laws. Analysing... |
Tipo: Manuscript |
Palavras-chave: Cancer; Ecology. |
Ano: 2007 |
URL: http://precedings.nature.com/documents/907/version/1 |
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Diana E. Marco; Sergio A. Cannas; Marcelo A. Montemurro; Bo Hu; Shi-Yuan Cheng. |
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 tumor.

Using simulations and real data we show that the early spread of cancer cells is similar to the species individuals spread and 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... |
Tipo: Manuscript |
Palavras-chave: Cancer; Ecology. |
Ano: 2007 |
URL: http://precedings.nature.com/documents/907/version/2 |
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