A three dimensional growth model for primary cancer

Maybe the most aggressive phenomena in biology is the growth of cancer cells. In this paper we propose a simple three-dimensional model to simulate the growth of carcinoma, which includes cell proliferation, reciprocal influence among cells, cell division and cell death. Every simulated pattern growth is characterized by its gyration radius, number of cells on tumor periphery and fractal dimension. We use the DLA model and computer simulation to characterized the growth phenomenon. The Application of DLA (diffusion-limited aggregation) model to generate fractal structure is shown in this work. The similarity between this computational model and some abnormal cell growth, are shown as well. We use a hash function for the DLA in three-dimensional problem; the possibility of developing studies in higher dimensions without affecting the required time of the algorithm is shown. Also, a comparison between the simulated patterns and explants of primary tumors is done.