Algebraic and topological indices of molecular pathway networks in human cancers

Protein-protein interaction networks associated with diseases have gained prominence as an area of research.We investigate algebraic and topological indices for protein-protein interaction networks of 11 human cancers derived from the Kyoto Encyclopedia of Genes and Genomes (KEGG) database. We find...

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Main Authors: Peter Hinow, Edward A. Rietman, Sara Ibrahim Omar, Jack A. Tuszyński
Format: Article
Language:English
Published: AIMS Press 2015-07-01
Series:Mathematical Biosciences and Engineering
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Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.1289
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author Peter Hinow
Edward A. Rietman
Sara Ibrahim Omar
Jack A. Tuszyński
author_facet Peter Hinow
Edward A. Rietman
Sara Ibrahim Omar
Jack A. Tuszyński
author_sort Peter Hinow
collection DOAJ
description Protein-protein interaction networks associated with diseases have gained prominence as an area of research.We investigate algebraic and topological indices for protein-protein interaction networks of 11 human cancers derived from the Kyoto Encyclopedia of Genes and Genomes (KEGG) database. We find a strong correlationbetween relative automorphism group sizes and topological network complexities on the one hand and five year survival probabilities on the other hand. Moreover, we identify several protein families (e.g. PIK, ITG, AKT families) that are repeated motifs in many of the cancer pathways. Interestingly, these sources of symmetry are often central rather than peripheral. Our results can aide in identification of promising targets for anti-cancer drugs. Beyond that, we provide a unifying framework to study protein-protein interaction networks of families of related diseases (e.g. neurodegenerative diseases, viral diseases, substance abuse disorders).
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spelling doaj-art-90ecf23224ad4fd78105a7a354e86a702025-01-24T02:33:57ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-07-011261289130210.3934/mbe.2015.12.1289Algebraic and topological indices of molecular pathway networks in human cancersPeter Hinow0Edward A. Rietman1Sara Ibrahim Omar2Jack A. Tuszyński3Department of Mathematical Sciences, University of Wisconsin – Milwaukee, P.O. Box 413, Milwaukee, WI 53201-0413Newman-Lakka Institute, Tufts University School of Medicine, Boston, MA 02111Cross Cancer Institute, University of Alberta, Edmonton, T6G 2E1Cross Cancer Institute and Department of Physics, University of Alberta, Edmonton, T6G 2E1Protein-protein interaction networks associated with diseases have gained prominence as an area of research.We investigate algebraic and topological indices for protein-protein interaction networks of 11 human cancers derived from the Kyoto Encyclopedia of Genes and Genomes (KEGG) database. We find a strong correlationbetween relative automorphism group sizes and topological network complexities on the one hand and five year survival probabilities on the other hand. Moreover, we identify several protein families (e.g. PIK, ITG, AKT families) that are repeated motifs in many of the cancer pathways. Interestingly, these sources of symmetry are often central rather than peripheral. Our results can aide in identification of promising targets for anti-cancer drugs. Beyond that, we provide a unifying framework to study protein-protein interaction networks of families of related diseases (e.g. neurodegenerative diseases, viral diseases, substance abuse disorders).https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.1289automorphism groupsprotein-protein interaction networkscyclomatic number.
spellingShingle Peter Hinow
Edward A. Rietman
Sara Ibrahim Omar
Jack A. Tuszyński
Algebraic and topological indices of molecular pathway networks in human cancers
Mathematical Biosciences and Engineering
automorphism groups
protein-protein interaction networks
cyclomatic number.
title Algebraic and topological indices of molecular pathway networks in human cancers
title_full Algebraic and topological indices of molecular pathway networks in human cancers
title_fullStr Algebraic and topological indices of molecular pathway networks in human cancers
title_full_unstemmed Algebraic and topological indices of molecular pathway networks in human cancers
title_short Algebraic and topological indices of molecular pathway networks in human cancers
title_sort algebraic and topological indices of molecular pathway networks in human cancers
topic automorphism groups
protein-protein interaction networks
cyclomatic number.
url https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.1289
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AT saraibrahimomar algebraicandtopologicalindicesofmolecularpathwaynetworksinhumancancers
AT jackatuszynski algebraicandtopologicalindicesofmolecularpathwaynetworksinhumancancers