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. 2017 Aug 1;7:6993. doi: 10.1038/s41598-017-07481-5

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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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The reconstruction and properties of Protein-Protein Interactions Encapsulated by MINs (PIE-MINs) across different cancer types. (a) The construction of PIE-MIN. Here, the gene pair DDX39A-PRM1 (green nodes) from an ovarian cancer inferred network is used as an illustrative example. Of more than ~1,000,000 possible undirected paths connecting a given gene pair, the shortest protein-protein interaction path (red edges) is computed using Dijkstra’s algorithm. The procedure is repeated for all gene pairs in the MIN; proteins found within the shortest path (blue nodes) between all gene pairs comprise the complete PIE-MIN for a given cancer. (b) Genes universally observed in all 9 cancer PIE-MINs. Heatmap plot based on the frequency of the shortest paths passing through a given gene for all gene pairs in a MIN at log2 scale. (c) Enriched canonical pathways for PIE-MIN using genes of top 500 frequencies. Heatmap plot based on the negative of enrichment p-values at log2 scale. (d) PIE-MIN genes of top 10 highest frequencies that appeared in shortest paths for all gene pairs in a MIN for each cancer type.