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. 2017 Aug 11;7:7952. doi: 10.1038/s41598-017-08310-5

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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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Entropy is a logarithmic function of the area of the region of interest. (A,B and C) are graphs showing the entropy across all SSFs (A: ROI area from 0 to 12,000 pixels, B: zoom on ROI area smaller than 1,000 pixels) and for all SSF independently (C) in function of the area of the ROI in pixels within synchronous metastases #1. We observed that in every type of tissue (metastasis, normal psoas muscle, and blood in the aorta), entropy is a logarithmic function of the area of the ROI (P < 0.01, R2 = 0.47) rather than a linear one (P < 0.01, R2 = 0.14).