Algebraic and topological indices of molecular pathway networks in human cancers

Peter Hinow; Edward A.  Rietman; Sara Ibrahim  Omar; Jack A.  Tuszyński

doi:10.3934/mbe.2015.12.1289

Mathematical Biosciences and Engineering, 2015, 12(6): 1289-1302. doi: 10.3934/mbe.2015.12.1289. Primary: 92C42; Secondary: 94C15.

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Algebraic and topological indices of molecular pathway networks in human cancers

Peter Hinow, Edward A. Rietman, Sara Ibrahim Omar, Jack A. Tuszyński

1. Department of Mathematical Sciences, University of Wisconsin – Milwaukee, P.O. Box 413, Milwaukee, WI 53201-0413
2. Newman-Lakka Institute, Tufts University School of Medicine, Boston, MA 02111
3. Cross Cancer Institute, University of Alberta, Edmonton, T6G 2E1
4. Cross Cancer Institute and Department of Physics, University of Alberta, Edmonton, T6G 2E1

Received date: , Published date:

Abstract

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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Keywords: automorphism groups; Protein-protein interaction networks; cyclomatic number.

Citation: 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, 2015, 12(6): 1289-1302. doi: 10.3934/mbe.2015.12.1289

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Copyright Info: 2015, Peter Hinow, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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