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. 2020 Jul 14;11:3515. doi: 10.1038/s41467-020-17083-x

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© The Author(s) 2020

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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Fig. 5 — a Epithelial domain, b Stromal domain, and c Epithelial-stromal domain Jensen–Shannon divergence matrices that show the information distance of partial correlations (computed for biomarkers selected by recurrence-guided SpAn feature selection and stability analysis) between patients in the no-evidence-of-CRC and CRC-recurrence cohorts. d Epithelial domain, e Stromal domain, and f Epithelial-stromal domain spatial-domain networks obtained by thresholding the corresponding spatial-domain information distance matrices at the 99th percentile, which identify differential change most significant for CRC-recurrence prognosis. (The graphical and color rendering is to ensure ease of visualization.) All three spatial-domain networks include disconnected subnetworks with isolated nodes. These nodes correspond to biomarkers selected by SpAn as indicated in blue in Fig. 3. Biomarker expression is an intrinsic property that, unlike correlations, does not describe relationships between different biomarkers, and therefore, is naturally expressed by an isolated node without any connecting edge.