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. 2019 Jan 31;9:1081. doi: 10.1038/s41598-018-37155-9

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© The Author(s) 2019

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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Simulations with mean value parameter sets for the low proliferative tumour profile. Comparison of clinical and simulated Volume Reduction Percentages (VRP), for the tumour profile GF = 10%, HF = 30%, DF = 5%. The simulated VRP at each time-point is compared to the corresponding clinical VRP. The error bars indicate the permitted variability around the clinical VRP value according to the Criteria VRP 10% (equation (11)) and 40% DV (equation (13)).This variability is introduced to reflect possible tumour delineation errors. VRP values are computed according to equation (9). Note: For each timepoint (midterm, BT0, BT1, BT2) the VRPs for each CKR value are horizontally displaced to facilitate the inspection of the results; this displacement does not have temporal meaning.