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. 2019 Feb 4;9:1139. doi: 10.1038/s41598-018-36798-y

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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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A continuum of homology features correspond to an architectural progression from Gleason 3 to Gleason 5. t-SNE dimensionality reduction with corresponding Ward hierarchical clustering is shown for an example bootstrap, selected by finding the bootstrap with the minimal Euclidean distance between the six clusters of the bootstrap and the six medoid’s of the meta-clusters. Circles, triangles, and squares correspond to purely graded ROI’s of Gleason 3, 4, and 5, respectively. Each column is labeled with a histogram indicating the relative distribution of purely graded Gleason 3, 4, and 5 ROIs for each meta-cluster centroid, with error bars indicating standard error for the clusters within each meta-cluster. Average intensity diagrams for the medoid of each meta-cluster are shown in numbered columns with each number corresponding to a cluster of the example bootstrap with the same label. The top row of intensity diagrams correspond to zero-dimensional homology features (connected components) and the bottom row of intensity diagrams correspond to one-dimensional homology features (cycles).