Analysis of Cascading Failure in Gene Networks

It is an important subject to research the functional mechanism of cancer-related genes make in formation and development of cancers. The modern methodology of data analysis plays a very important role for deducing the relationship between cancers and cancer-related genes and analyzing functional mechanism of genome. In this research, we construct mutual information networks using gene expression profiles of glioblast and renal in normal condition and cancer conditions. We investigate the relationship between structure and robustness in gene networks of the two tissues using a cascading failure model based on betweenness centrality. Define some important parameters such as the percentage of failure nodes of the network, the average size-ratio of cascading failure, and the cumulative probability of size-ratio of cascading failure to measure the robustness of the networks. By comparing control group and experiment groups, we find that the networks of experiment groups are more robust than that of control group. The gene that can cause large scale failure is called structural key gene. Some of them have been confirmed to be closely related to the formation and development of glioma and renal cancer respectively. Most of them are predicted to play important roles during the formation of glioma and renal cancer, maybe the oncogenes, suppressor genes, and other cancer candidate genes in the glioma and renal cancer cells. However, these studies provide little information about the detailed roles of identified cancer genes.

[1]  Beom Jun Kim,et al.  Vertex overload breakdown in evolving networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Cohen,et al.  Resilience of the internet to random breakdowns , 2000, Physical review letters.

[3]  S. Hanash,et al.  Integrated global profiling of cancer , 2004, Nature Reviews Cancer.

[4]  M. Neuhäuser,et al.  No association of the NFKB1 insertion/deletion promoter polymorphism with survival in colorectal and renal cell carcinoma as well as disease progression in B-cell chronic lymphocytic leukemia , 2006, Pharmacogenetics and genomics.

[5]  M. Newman,et al.  Scientific collaboration networks. II. Shortest paths, weighted networks, and centrality. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  K-I Goh,et al.  Fluctuation-driven dynamics of the internet topology. , 2002, Physical review letters.

[7]  Ziyou Gao,et al.  Effects of the cascading failures on scale-free traffic networks , 2007 .

[8]  Nicolò Riggi,et al.  EZH2 is essential for glioblastoma cancer stem cell maintenance. , 2009, Cancer research.

[9]  Walter Willinger,et al.  Scaling phenomena in the Internet: Critically examining criticality , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[10]  J. Simon,et al.  Roles of the EZH2 histone methyltransferase in cancer epigenetics. , 2008, Mutation research.

[11]  H. Kitano Cancer as a robust system: implications for anticancer therapy , 2004, Nature Reviews Cancer.

[12]  Robert E. Schapire,et al.  Hierarchical multi-label prediction of gene function , 2006, Bioinform..

[13]  Ulrik Brandes,et al.  Biological Networks , 2013, Handbook of Graph Drawing and Visualization.

[14]  Jason Weston,et al.  Learning Gene Functional Classifications from Multiple Data Types , 2002, J. Comput. Biol..

[15]  E S Lander,et al.  Genomics: journey to the center of biology. , 2000, Science.

[16]  Marc Vidal,et al.  Interactome modeling , 2005, FEBS letters.

[17]  Ziyou Gao,et al.  Cascading failures on weighted urban traffic equilibrium networks , 2007 .

[18]  A. Barabasi,et al.  Network biology: understanding the cell's functional organization , 2004, Nature Reviews Genetics.

[19]  K. Goh,et al.  Universal behavior of load distribution in scale-free networks. , 2001, Physical review letters.

[20]  G. Sumara,et al.  A Probabilistic Functional Network of Yeast Genes , 2004 .

[21]  Julio M. Ottino,et al.  Cascading failure and robustness in metabolic networks , 2008, Proceedings of the National Academy of Sciences.

[22]  Eric S. Lander,et al.  Journey to the Center of Biology , 2000, Science.

[23]  M. Gerstein,et al.  Relating whole-genome expression data with protein-protein interactions. , 2002, Genome research.

[24]  Réka Albert,et al.  Structural vulnerability of the North American power grid. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  M. Gerstein,et al.  Systematic learning of gene functional classes from DNA array expression data by using multilayer perceptrons. , 2002, Genome research.

[26]  Vito Latora,et al.  Modeling cascading failures in the North American power grid , 2005 .

[27]  O. Halvorsen,et al.  EZH2 expression is associated with high proliferation rate and aggressive tumor subgroups in cutaneous melanoma and cancers of the endometrium, prostate, and breast. , 2006, Journal of clinical oncology : official journal of the American Society of Clinical Oncology.

[28]  Petter Holme Edge overload breakdown in evolving networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  D. Koller,et al.  From signatures to models: understanding cancer using microarrays , 2005, Nature Genetics.

[30]  Yusuke Nakamura,et al.  Common variation in GPC5 is associated with acquired nephrotic syndrome , 2011, Nature Genetics.

[31]  A. Chinnaiyan,et al.  Integrative analysis of the cancer transcriptome , 2005, Nature Genetics.

[32]  D. Ghosh,et al.  A polycomb repression signature in metastatic prostate cancer predicts cancer outcome. , 2007, Cancer research.

[33]  Mona Singh,et al.  Whole-proteome prediction of protein function via graph-theoretic analysis of interaction maps , 2005, ISMB.

[34]  R Pastor-Satorras,et al.  Dynamical and correlation properties of the internet. , 2001, Physical review letters.

[35]  B. Frey,et al.  The functional landscape of mouse gene expression , 2004, Journal of biology.