Use este identificador para citar ou linkar para este item: http://repositorio.ufla.br/jspui/handle/1/29823
Título: Fractal dimension and universality in avascular tumor growth
Data do documento: Abr-2017
Editor: American Physical Society
Citação: RIBEIRO, F. L.; SANTOS, R. V. dos; MATA, A. S. Fractal dimension and universality in avascular tumor growth. Physical Review E, [S.l.], v. 95, n. 4, Apr. 2017.
Resumo: For years, the comprehension of the tumor growth process has been intriguing scientists. New research has been constantly required to better understand the complexity of this phenomenon. In this paper, we propose a mathematical model that describes the properties, already known empirically, of avascular tumor growth. We present, from an individual-level (microscopic) framework, an explanation of some phenomenological (macroscopic) aspects of tumors, such as their spatial form and the way they develop. Our approach is based on competitive interaction between the cells. This simple rule makes the model able to reproduce evidence observed in real tumors, such as exponential growth in their early stage followed by power-law growth. The model also reproduces (i) the fractal-space distribution of tumor cells and (ii) the universal growth behavior observed in both animals and tumors. Our analyses suggest that the universal similarity between tumor and animal growth comes from the fact that both can be described by the same dynamic equation—the Bertalanffy-Richards model—even if they do not necessarily share the same biological properties.
URI: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.042406
http://repositorio.ufla.br/jspui/handle/1/29823
Aparece nas coleções:DFI - Artigos publicados em periódicos

Arquivos associados a este item:
Não existem arquivos associados a este item.


Os itens no repositório estão protegidos por copyright, com todos os direitos reservados, salvo quando é indicado o contrário.