A growth model for primary cancer

S.C.Ferreira Junior, M.L. Martins and M.J. Vilela

Physica A: Statistical Mechanics and its Applications, 1998, vol. 261, issue 3, 569-580

Abstract: One of the most aggressive phenomena in biology is the growth of cancer cells. In this paper we propose a simple model to simulate the growth of carcinoma “in situ”, which includes cell proliferation, motility and death, as well as the reciprocal influence among cells. Every simulated growth pattern is characterized by its gyration radius, surface roughness, number of cells on tumour periphery and fractal dimension. Our results indicate that the patterns are compact, with gyration radius, surface roughness and number of peripherical cells scaling, in the asymptotic limit, as a square root of the total number of tumour cells. Also, a preliminary comparison between the simulated patterns and explants of primary tumours is done.

Keywords: Cancer; Growth phenomena; Scaling laws (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:261:y:1998:i:3:p:569-580

DOI: 10.1016/S0378-4371(98)00318-5

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