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. 2019 Aug 28;9:12468. doi: 10.1038/s41598-019-47574-x

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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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Box plots showing the relative frequency of (A) CAAs and (B) XAAs in better sets. Boxes extend from the lower to upper quartile values of the data, with a line at the median, and whiskers extending to contain 95% of the data. Zoomed insets help to show that the comparison of (A,B) reveals that the median values for maximal CAA sets are always higher than those of the corresponding XAA set sizes. In (A) all top outlier data points represent Met in set sizes 16–19. The connected data points in Figure B highlight the anomalously high frequency of the CAAs, Ala, Cys and Pro, in better XAA sets of larger set size.