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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 EMAIL logo


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

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