Topological properties of networks in structural classification of proteins
- 43 Downloads
- 1 Citations
Abstract
We investigate the complex networks of interacting amino acids in protein structures. This case presents the status of numerical simulations and analyses relevant to the topological properties of networks in the structural classification of proteins. From our result protein networks are shown to have a small-world feature regardless of their structural class. In particular, proteins are found to have a positive assortative coefficient that when applied to the topological property is described as a tendency for connectivity of high-degree nodes. The modularity of the proteins in our case is a significantly increasing function of N. From the resultant network, we mainly estimate the network’s metrics, such as the averaged shortest path length, the averaged clustering coefficient, the local efficiency, the global efficiency, the assortative coefficient, and the modularity.
Keywords
Protein Amino acid Biological network Global efficiency Assortative coefficiency ModularityPreview
Unable to display preview. Download preview PDF.
References
- [1]A. Nobi, S. E. Maeng, G.G. Ha and J. W. Lee, J. Korean Phys. Soc. 62, 569 (2013); M. W. Cho, J. Korean Phys. Soc. 64, 1213 (2014); H. W. Choi, S. E. Maeng and J. W. Lee, J. Korean Phys. Soc. 60, 657 (2012).CrossRefADSGoogle Scholar
- [2]G. Caldarelli, Scale-Free Networks: Complex Webs in Nature and Technology (Oxford University Press, Oxford, 2007), p. 336; J. Ku, J. W. Ryu, H. Y. Kim and J. S. Yoo, J. Korean Phys. Soc. 60, 527 (2012).CrossRefGoogle Scholar
- [3]M. Girvan and M. E. J. Newman, Proc. Nat. Acad. Sci. USA 99, 7821 (2002).MathSciNetCrossRefMATHADSGoogle Scholar
- [4]S. Fortunato, Phys. Rep. 486, 75 (2010).MathSciNetCrossRefADSGoogle Scholar
- [5]S. H. Yook, Z. N. Oltvai and A.-L. Barabasi, Proteomics 4, 928 (2004).CrossRefGoogle Scholar
- [6]H. Jeong, B. Tombor, R. Albert, Z. N. Oltvai and A.-L. Barabashi, Nature 407, 651 (2000).CrossRefADSGoogle Scholar
- [7]E. Ravsaz, A. L. Somera, D. A. Mongru, Z. N. Oltvai and A.-L. Barabashi, Science 297, 1551 (2002).CrossRefADSGoogle Scholar
- [8]R. Albert and H. G. Othmer, J. Theor. Biol. 223, 1 (2003).MathSciNetCrossRefGoogle Scholar
- [9]A. Aszodi and W. R. Taylor, CABIOS 9, 523 (1993).Google Scholar
- [10]M. Vendruscolo, N. V. Dokholyan, E. Paci and M. Karplus, Phys. Rev. E 65, 061910 (2002).CrossRefADSGoogle Scholar
- [11]L. H. Greene and V. A. Higman, J. Mol. Biol. 334, 781 (2003).CrossRefGoogle Scholar
- [12]A. R. Atilgan, P. Akan and C. Baysal, Biophys. J. 86, 85 (2004).CrossRefGoogle Scholar
- [13]A.-L. Barabashi and Z. N. Oltvari, Nat. Rev. Gen. 5, 101 (2004).CrossRefGoogle Scholar
- [14]L. Giot, J. S. Bader, C. Brouwer, A. Chaudhuri and B. Kuang, Science 302, 1727 (2003).CrossRefADSGoogle Scholar
- [15]H. Jeong, S. P. Mason, A.-L. Barabashi and Z. N. Oltvai, Nature 411, 41 (2001).CrossRefADSGoogle Scholar
- [16]S. Li, C. M. Armstrong, N. Bertin, H. Ge, S. Milstein S and M. Boxem, Science 303, 540 (2004).CrossRefADSGoogle Scholar
- [17]A. Wagner, Mol. Biol. Evol. 18, 1283 (2001).CrossRefGoogle Scholar
- [18]A. G. Murzin, S. E. Brenner, T. Hubbard and C. Chothia, J. Mol. Biol. 247, 536 (1995).Google Scholar
- [19]S. Min and K. Kim, unpublished.Google Scholar
- [20]D. J. Watts, Small Worlds-The Dynamics of Networks Between Order and Randomness (Princeton University Press, new York, 1999).Google Scholar
- [21]A.-L. Barabashi and R. Albert, Science 286, 509 (1999).MathSciNetCrossRefADSGoogle Scholar
- [22]M. E. J. Newman, Phys. Rev. Lett. 89, 208701 (2002).CrossRefADSGoogle Scholar
- [23]M. E. J. Newman, Proc. Natl. Acad. Sci. USA 103, 8577 (2006).CrossRefADSGoogle Scholar
- [24]V. Latora and M. Marchiori, Phys. Rev. Lett. 87, 198701 (2001).CrossRefADSGoogle Scholar
- [25]H. M. Berman, J. Westbrook, Z. Feng, G. Gilliland, T. N. Bhat, H. Weissig, I. N. Shindyalov, P. E. Bourneand and W. R. Taylor, Nucleic Acids Res. 28, 235 (2000).CrossRefGoogle Scholar
- [26]L. H. Greene and V. A. Higman, J. Mol. Biol. 334, 781 (2003).CrossRefGoogle Scholar
- [27]R. Albert and A.-L. Barabashi, Rev. Mod. Phys. 74, 47 (2002).CrossRefMATHADSGoogle Scholar
- [28]W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical Recipes in C, 2nd edition (Cambridge University Press, London, 1993).Google Scholar
- [29]G. Bagler and S. Sinha, Physica A 346, 27 (2005)CrossRefADSGoogle Scholar
- [30]L. A. N. Amaral, A. Scala, M. Barthelemy and H. E. Stanley, Proc. Natl. Acad. Sci. 97, 11149 (2000).CrossRefADSGoogle Scholar
- [31]B. Kahng, K.-I. Goh, D.-S. Lee and D. Kim, Sae Mulli 48, 115 (2004).Google Scholar
- [32]D. R. Amancio, O. N. Oliveira and L. F. Costa, Europhys. Lett. 99, 48002 (2012).CrossRefADSGoogle Scholar
- [33]P. Fleurquin, J. J. Ramasco and V. M. Eguiluz, Sci. Rep. 3, 1159 (2013).CrossRefADSGoogle Scholar
- [34]M. Popovic, H. Stefancic and V. Zlatic, Phys. Rev. Lett. 109, 208701 (2012).CrossRefADSGoogle Scholar