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Licensed Unlicensed Requires Authentication Published by De Gruyter October 11, 2014

Hybrid Cellular Automaton Method for Homogeneous Tumour Growth Modelling

Kirill M. Zapolski, Yury B. Admiralskiy and Alexander S. Bratus


In this paper a discrete planar model of the tumour growth is presented. The model is based on hybrid cellular automaton and describes the tumour in a homogeneous tissue. The tissue consists of healthy cells and can have irregular vasculature. The model simulates proliferation processes and necrotic cells appearance which depends on the oxygen supply. There exists a stable solution, which may be used as an approximation of the tissue. Described HCA model can be extended with angiogenesis, nutrients and factors fields.

Received: 2014-5-22
Accepted: 2014-6-25
Published Online: 2014-10-11
Published in Print: 2014-10-1

© 2014 by Walter de Gruyter Berlin/Boston