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. 2017 May 23;7:2280. doi: 10.1038/s41598-017-01757-6

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© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Tumour Growth Model. (A) Automata model of the tumour at day 0 and 1 day later, i.e. one cell cycle later. (B) Each pixel corresponds to a tumour and endothelial cell state. Endothelial distribution, i.e. vessel network, allows computation of an O2 ratio in the tumour map. (C) Tumour growth simulation without irradiation. (D) Calibration of the number of cell layers authorized to divide at the tumour periphery based on growth data obtained from the literature for PC3 tumours in mice. Setting cell layers to 3 gives the best fit for these data (i.e. n = 3).