메뉴 건너뛰기




Volumn 5, Issue , 2015, Pages

Graph curvature for differentiating cancer networks

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; BIOLOGICAL MODEL; GENE REGULATORY NETWORK; HUMAN; METABOLISM; NEOPLASMS;

EID: 84937036768     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep12323     Document Type: Article
Times cited : (169)

References (46)
  • 1
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • Albert, R. , Barab?i, A. Statistical mechanics of complex networks. Reviews of Modern Physics. 74, 47 (2002).
    • (2002) Reviews of Modern Physics. , vol.74 , pp. 47
    • Albert, R.1    Barabi, A.2
  • 3
    • 84255194219 scopus 로고    scopus 로고
    • The network takeover
    • Barabasi, A. The network takeover. Nature Physics. 8, 14-16 (2012).
    • (2012) Nature Physics , vol.8 , pp. 14-16
    • Barabasi, A.1
  • 5
    • 1542619848 scopus 로고    scopus 로고
    • Cancer as a robust system: Implications for anticancer therapy
    • Kitano, H. Cancer as a robust system: implications for anticancer therapy. Nature Reviews Cancer. 4, 227-235 (2004).
    • (2004) Nature Reviews Cancer , vol.4 , pp. 227-235
    • Kitano, H.1
  • 6
    • 84881611750 scopus 로고    scopus 로고
    • Darwin and directionality theory
    • Demetrius, L. Boltzmann, Darwin and directionality theory. Physics Reports. 530, 1-85 (2013).
    • (2013) Physics Reports , vol.530 , pp. 1-85
    • Demetrius, L.B.1
  • 7
    • 10444286683 scopus 로고    scopus 로고
    • Robustness and network evolution-an entropic principle
    • Demetrius, L. , Manke, T. Robustness and network evolution-an entropic principle. Physica A. 346, 682-696 (2005).
    • (2005) Physica A. , vol.346 , pp. 682-696
    • Demetrius, L.1    Manke, T.2
  • 9
    • 62049083002 scopus 로고    scopus 로고
    • Ricci curvature for metric-measure spaces via optimal transport
    • Lott, J. , Villani, C. Ricci curvature for metric-measure spaces via optimal transport. Annals of Mathematics. 169, 903-991 (2009).
    • (2009) Annals of Mathematics , vol.169 , pp. 903-991
    • Lott, J.1    Villani, C.2
  • 11
    • 77955062175 scopus 로고    scopus 로고
    • Increased entropy of signal transduction in the cancer metastasis phenotype
    • Teschendorff, A. , Severini, S. Increased entropy of signal transduction in the cancer metastasis phenotype. BMC Systems Biology. 4, 104 (2010).
    • (2010) BMC Systems Biology , vol.4 , pp. 104
    • Teschendorff, A.1    Severini, S.2
  • 13
    • 84901439430 scopus 로고    scopus 로고
    • Signalling entropy: A novel network-theoretical framework for systems analysis and interpretation of functional comic data
    • Teschendorff, A., Sollich, P. , Kuehn, R. Signalling entropy: A novel network-theoretical framework for systems analysis and interpretation of functional comic data. Methods 67, 282-293 (2014).
    • (2014) Methods , vol.67 , pp. 282-293
    • Teschendorff, A.1    Sollich, P.2    Kuehn, R.3
  • 14
    • 84899740242 scopus 로고    scopus 로고
    • Cellular network entropy as the energy potential in waddington's differentiation landscape
    • Banerji, C. et al. Cellular network entropy as the energy potential in Waddington's differentiation landscape. Scientific Reports 3, (2013). doi: 10.1038/srep03039
    • (2013) Scientific Reports , vol.3
    • Banerji, C.1
  • 15
    • 0036500834 scopus 로고    scopus 로고
    • Reverse engineering of biological complexity
    • Csete, M. , Doyle, J. Reverse engineering of biological complexity. Science 295, 1664-1669 (2002).
    • (2002) Science , vol.295 , pp. 1664-1669
    • Csete, M.1    Doyle, J.2
  • 18
    • 58149087855 scopus 로고    scopus 로고
    • Ricci curvature of markov chains on metric spaces
    • Ollivier, Y. Ricci curvature of Markov chains on metric spaces. Journal of Functional Analysis. 256, 810-864 (2009).
    • (2009) Journal of Functional Analysis , vol.256 , pp. 810-864
    • Ollivier, Y.1
  • 19
    • 36349020218 scopus 로고    scopus 로고
    • Ricci curvature of metric spaces
    • Paris
    • Ollivier, Y. Ricci curvature of metric spaces. C. R. Math. Acad. Sci. Paris. 345, 643-646 (2007).
    • (2007) C. R. Math. Acad. Sci , vol.345 , pp. 643-646
    • Ollivier, Y.1
  • 20
    • 84937064360 scopus 로고    scopus 로고
    • Extensive decoupling of metabolic genes in cancer
    • Reznik, E. , Sander, C. Extensive decoupling of metabolic genes in cancer. bioRxiv. 008946, (2014).
    • (2014) BioRxiv , pp. 008946
    • Reznik, E.1    Sander, C.2
  • 21
    • 78651330430 scopus 로고    scopus 로고
    • COSMIC: Mining complete cancer genomes in the catalogue of somatic mutations in cancer
    • Forbes, S. et al. COSMIC: mining complete cancer genomes in the catalogue of somatic mutations in cancer. Nucleic Acids Research. (2010). doi: 10.1093/nar/gkq929
    • (2010) Nucleic Acids Research
    • Forbes, S.1
  • 22
    • 84877315835 scopus 로고    scopus 로고
    • A community-driven global reconstruction of human metabolism
    • Thiele, I. et al. A community-driven global reconstruction of human metabolism. Nature Biotechnology. 31, 419-425 (2013).
    • (2013) Nature Biotechnology , vol.31 , pp. 419-425
    • Thiele, I.1
  • 26
    • 84872931911 scopus 로고    scopus 로고
    • RNF43 is a tumour suppressor gene mutated in mucinous tumours of the ovary
    • Ryland, G. L. et al. RNF43 is a tumour suppressor gene mutated in mucinous tumours of the ovary. The Journal of Pathology. 469-476 (2013). doi: 10.1002/path.4134
    • (2013) The Journal of Pathology. , pp. 469-476
    • Ryland, G.L.1
  • 27
    • 0033833131 scopus 로고    scopus 로고
    • Can estrogenic radicals, generated by lactoperoxidase, be involved in the molecular mechanism of breast carcinogenesis
    • Ghibaudi, E. et al. Can estrogenic radicals, generated by lactoperoxidase, be involved in the molecular mechanism of breast carcinogenesis. Redox Report. 5, 229-235 (2000).
    • (2000) Redox Report , vol.5 , pp. 229-235
    • Ghibaudi, E.1
  • 28
    • 84870362933 scopus 로고    scopus 로고
    • Superoxide dismutase 3 is induced by antioxidants, inhibits oxidative DNA damage and is associated with inhibition of estrogen-induced breast cancer
    • Singh, B. , Bhat, H. K. Superoxide dismutase 3 is induced by antioxidants, inhibits oxidative DNA damage and is associated with inhibition of estrogen-induced breast cancer. Carcinogenesis. (2012). doi: 10.1093/carcin/bgs300
    • (2012) Carcinogenesis
    • Singh, B.1    Bhat, H.K.2
  • 29
    • 84875894714 scopus 로고    scopus 로고
    • Glutamine supports pancreatic cancer growth through a Kras-regulated metabolic pathway
    • Son, J. et al. Glutamine supports pancreatic cancer growth through a Kras-regulated metabolic pathway. Nature. 496, 101-105 (2013).
    • (2013) Nature , vol.496 , pp. 101-105
    • Son, J.1
  • 30
    • 84897496192 scopus 로고    scopus 로고
    • The expression and prognostic significance of retinoic acid metabolising enzymes in colorectal cancer
    • Brown, G. et al. The expression and prognostic significance of retinoic acid metabolising enzymes in colorectal cancer. PloS one. 9, e907776 (2014).
    • (2014) PloS One , vol.9 , pp. e907776
    • Brown, G.1
  • 31
    • 84905679038 scopus 로고    scopus 로고
    • Wireless network capacity versus Ollivier-Ricci curvature under Heat Diffusion (HD) protocol
    • Paper presented at Portland OR. June 04-06
    • Wang, C., Jonckheere, E. , Banirazi, R. Wireless network capacity versus Ollivier-Ricci curvature under Heat Diffusion (HD) protocol. Paper presented at IEEE American Control Conference. Portland, OR. June 04-06. 3536-3541 (2014). doi: 10.1109/ACC.2014.6858912
    • (2014) IEEE American Control Conference , pp. 3536-3541
    • Wang, C.1    Jonckheere, E.2    Banirazi, R.3
  • 33
    • 60849125769 scopus 로고    scopus 로고
    • Probability measures on metric spaces of nonpositive curvature
    • Sturm, K. Probability measures on metric spaces of nonpositive curvature. Contemporary Mathematics. 338, 1-34 (2003).
    • (2003) Contemporary Mathematics , vol.338 , pp. 1-34
    • Sturm, K.1
  • 35
    • 84863327611 scopus 로고    scopus 로고
    • Normalized graph Laplacians for directed graphs
    • Bauer, F. Normalized graph Laplacians for directed graphs. Linear Algebra and its Applications. 436, 4193-4222 (2012).
    • (2012) Linear Algebra and Its Applications , vol.436 , pp. 4193-4222
    • Bauer, F.1
  • 36
    • 0003073688 scopus 로고    scopus 로고
    • Partial differential equations and Monge-Kantorovich mass transfer
    • Evans, L. C. Partial differential equations and Monge-Kantorovich mass transfer. Current Developments in Mathematics. 65-126 (1999).
    • (1999) Current Developments in Mathematics , pp. 65-126
    • Evans, L.C.1
  • 38
    • 79953140830 scopus 로고    scopus 로고
    • Signals and control aspects of optimal mass transport and the Boltzmann entropy
    • Paper presented at Atlanta GA. December 15-17
    • Tannenbaum, E., Georgiou, T. , Tannenbaum, A. Signals and control aspects of optimal mass transport and the Boltzmann entropy. Paper presented at IEEE Conference on Decision and Control. Atlanta, GA. December 15-17. 1885-1890 (2010). doi: 10.1109/CDC.2010.5717821
    • (2010) IEEE Conference on Decision and Control , pp. 1885-1890
    • Tannenbaum, E.1    Georgiou, T.2    Tannenbaum, A.3
  • 39
    • 62049085614 scopus 로고    scopus 로고
    • Mass transportation and rough curvature bounds for discrete spaces
    • Bonciocat, A. , Sturm, K. Mass transportation and rough curvature bounds for discrete spaces. Journal of Functional Analysis. 256, 2944-2966 (2009).
    • (2009) Journal of Functional Analysis , vol.256 , pp. 2944-2966
    • Bonciocat, A.1    Sturm, K.2
  • 40
    • 79960891765 scopus 로고    scopus 로고
    • Gradient flows of the entropy for finite markov chains
    • Maas, J. Gradient flows of the entropy for finite Markov chains. Journal of Functional Analysis. 261, 2250-2292 (2011).
    • (2011) Journal of Functional Analysis , vol.261 , pp. 2250-2292
    • Maas, J.1
  • 41
    • 84856707826 scopus 로고    scopus 로고
    • Fokker-Planck equations for a free energy functional or markov process on a graph
    • Chow, S., Huang, W., Li, Y. , Zhou, H. Fokker-Planck equations for a free energy functional or Markov process on a graph. Archive for Rational Mechanics and Analysis. 203, 969-1008 (2012).
    • (2012) Archive for Rational Mechanics and Analysis , vol.203 , pp. 969-1008
    • Chow, S.1    Huang, W.2    Li, Y.3    Zhou, H.4
  • 42
    • 0031161793 scopus 로고    scopus 로고
    • A convexity principle for interacting gases
    • McCann, R. A convexity principle for interacting gases. Adv. Math. 128, 153-179 (1997).
    • (1997) Adv. Math. , vol.128 , pp. 153-179
    • McCann, R.1
  • 43
    • 0003195390 scopus 로고
    • Hyperbolic groups. Essays in group theory in math
    • Gromov, M. Hyperbolic groups. Essays in Group Theory in Math. Sci. Res. Inst. Publ. 8, 75-263 (1987).
    • (1987) Sci. Res. Inst. Publ. , vol.8 , pp. 75-263
    • Gromov, M.1
  • 44
    • 1842686900 scopus 로고    scopus 로고
    • Complexity and demographic stability in population models
    • Demetrius, L., Gundlach, V. , Ochs, G. Complexity and demographic stability in population models. Theoret. Population Biol. 65, 211-225 (2004).
    • (2004) Theoret. Population Biol. , vol.65 , pp. 211-225
    • Demetrius, L.1    Gundlach, V.2    Ochs, G.3
  • 46
    • 0000797976 scopus 로고
    • A class of Wasserstein metrics for probability distributions
    • Givens, C. , Shortt, R. A class of Wasserstein metrics for probability distributions. Michigan Mathematical Journal. 31, 231-240 (1984).
    • (1984) Michigan Mathematical Journal , vol.31 , pp. 231-240
    • Givens, C.1    Shortt, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.