Abstract
This chapter reviews some of the recent research on topological and dynamical properties of Protein-protein Interaction (PPI) networks. In its first part we describe the set of numerical algorithms aimed at: 1) constructing a null-model random network with a desired set of low-level topological properties; 2) detection of over- or under-represented topological patterns such as degree-degree correlations between interacting nodes. In the second part of the chapter we describe a recently developed set of computational tools and analytical methods which allow one to go beyond purely topological studies of PPI networks and efficiently calculate the mass-action equilibrium of protein concentrations and its response to systematic perturbations. In particular, we explore how large (several-fold) changes in total abundance of a small number of proteins shift the equilibrium between free and bound concentrations of proteins throughout the PPI network. Our primary conclusion is that, on average, the effects of such perturbations exponentially decay with the network distance away from the perturbed node. This explains why, despite globally connected topology, individual functional modules in such networks are able to operate fairly independently. Under specific favorable conditions, realized in a significant number of paths in the yeast PPI network, concentration perturbations can selectively propagate over considerable network distances (up to four steps). Such “action-at-a-distance” requires high concentrations of heterodimers along the path as well as low free (unbound) concentration of intermediate proteins.
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References
Uetz P, Giot L, Cagney G, Mansfield TA, Judson RS, et al. (2000) A comprehensive analysis of protein-protein interactions in Saccharomyces cerevisiae. Nature 403:623–7.
Ito T, Chiba T, Ozawa R, Yoshida M, Hattori M, Sakaki Y (2001) A comprehensive two-hybrid analysis to explore the yeast protein interactome. Proc Natl Acad Sci U S A 98:4569–74
Rain JC, Selig L, De Reuse H, Battaglia V, Reverdy C, et al. (2001) The protein-protein interaction map of Helicobacter pylori. Nature 409:211–5.
Giot L, Bader JS, Brouwer C, Chaudhuri A, Kuang B, et al. (2003) A protein interaction map of Drosophila melanogaster. Science 302:1727–36.
Li S, Armstrong CM, Bertin N, Ge H, Milstein S, et al. (2004) A map of the interactome network of the metazoan C. elegans. Science 303:540–3.
LaCount DJ, Vignali M, Chettier R, Phansalkar A, Bell R, et al. (2005) A protein interaction network of the malaria parasite Plasmodium falciparum. Nature 438:103–7.
Rual JF, Venkatesan K, Hao T, Hirozane-Kishikawa T, Dricot A, et al. (2005) Towards a proteome-scale map of the human protein-protein interaction network. Nature 437:1173–8.
Stelzl U, Worm U, Lalowski M, Haenig C, Brembeck FH, et al. (2005) A human protein-protein interaction network: a resource for annotating the proteome. Cell 122:957–68.
Gavin AC, Bosche M, Krause R, Grandi P, Marzioch M, et al. (2002) Functional organization of the yeast proteome by systematic analysis of protein complexes. Nature 415:141–7.
Ho Y, Gruhler A, Heilbut A, Bader GD, Moore L, et al. (2002) Systematic identification of protein complexes in Saccharomyces cerevisiae by mass spectrometry. Nature 415:180–3.
Rual JF, Venkatesan K, Hao T, Hirozane-Kishikawa T, Dricot A, et al. (2005) Towards a proteome-scale map of the human protein-protein interaction network. Nature 437:1173–8.
Krogan NJ, Cagney G, Yu H, Zhong G, Guo X, et al. (2006) Global landscape of protein complexes in the yeast Saccharomyces cerevisiae. Nature 440:637–43.
Gavin AC, Aloy P, Grandi P, Krause R, Boesche M, et al. (2006) Proteome survey reveals modularity of the yeast cell machinery. Nature 440:631–6.
Barabasi AL and Albert R (1999) Emergence of scaling in random networks. Science 286:509–12.
Jeong H, Mason SP, Barabasi AL and Oltvai ZN (2001) Lethality and centrality in protein networks. Nature 411:41–2.
Maslov S and Sneppen K (2002) Specificity and stability in topology of protein networks. Science 296:910–3.
Wagner A (2001) The yeast protein interaction network evolves rapidly and contains few redundant duplicate genes. Mol Biol Evol 18:1283–92.
Spirin V and Mirny LA (2003) Protein complexes and functional modules in molecular networks. Proc Natl Acad Sci U S A 100:12123–8.
Shi YY, Miller GA, Qian H, and Bomsztyk K (2006) Free-energy distribution of binary protein-protein binding suggests cross-species interactome differences. Proc Nat Acad of Sci U S A 103:11527–32.
Evlampiev K and Isambert H 2006. Asymptotic Evolution of Protein-protein Interaction Networks for General Duplication-Divergence Models. Preprint q-bio.MN/0611070 at arxiv.org.
Vazquez A, Flammini A, Maritan A, and Vespignani A (2001) Modelling of protein interaction networks. Preprint cond-mat/0108043 at arxiv.org. Published in (2003) ComPlexUs 1:38.
Sole R V, Pastor-Satorras R, Smith E, and Kepler TB (2002) A model of large-scale proteome evolution, Preprint cond-mat/0207311 at arxiv.org. Published in (2002) Advances in Complex Systems 5:43.
Ispolatov I, Krapivsky PL, and Yuryev A (2005) Duplication-divergence model of protein interaction network. Phys Rev E 71:061911.
Caldarelli G, Capocci A, De Los Rios P, and Munoz MA (2002) Scale-free networks from varying vertex intrinsic fitness. Phys Rev Lett 89:258702.
Deeds EJ, Ashenberg O, and Shakhnovich EI (2006) A simple physical model for scaling in protein-protein interaction networks. Proc Nat Acad Sci U S A 103(2):311–6.
Maslov S and Ispolatov I (2007) Propagation of large concentration changes in reversible protein-binding networks. Proc Natl Acad Sci U S A 104:13655–60.
Kannan R, Tetali P, and Vempala S. (1999) Simple Markov-chain algorithms for generating bipartite graphs and tournaments. Random Structures and Algorithms 14:293–308.
The set of MATLAB programs can be downloaded at http://www.cmth.bnl.gov/maslov/ matlab.htm
Maslov S, Sneppen K, and Zaliznyak A (2002) Pattern Detection in Complex Networks: Correlation Profile of the Internet. Preprint cond-mat/0205379 at arxiv.org; published in Physica A 333:529–540.
Watts D and Strogatz, S (1998) Collective dynamics of small world networks. Nature 293: 400–403.
Shen-Orr S, Milo R, Mangan S, and Alon U (2002) Network motifs in the transcriptional regulation of Escherichia coli. Nature Genetics, 31:64–68.
Milo R, Shen-Orr S, Itzkovitz S, et al. (2002) Network motifs: simple building blocks of complex networks. Science 298:824–7.
Maslov S and Sneppen K (2002) Protein interaction networks beyond artifacts. FEBS Letters 530:255–6.
Maslov S, Sneppen K, Ispolatov I (2007) Spreading out of perturbations in reversible reaction networks. New Journal of Physics 9:273(11 pages).
Albert R, Jeong H, and Barabasi AL (2000) Error and attack tolerance of complex networks. Nature 406:378–82.
Stark C, Breitkreutz BJ, Reguly T, Boucher L, Breitkreutz A, and Tyers M (2006) BioGRID: a general repository for interaction datasets. Nucleic Acids Res 34:D535–9.
Ghaemmaghami S, Huh WK, Bower K, Howson RW, Belle A, Dephoure N, O’Shea EK, and Weissman, JS (2003) Global analysis of protein expression in yeast. Nature 425:737–41.
Piehler J (2005) New methodologies for measuring protein interactions in vivo and in vitro. Curr Opin in Struct Biol 15:4–14.
Kumar MD and Gromiha MM (2006) PINT: Protein-protein Interactions Thermodynamic Database. Nucleic Acids Res 34:D195–8.
Lancet D, Sadovsky E, and Seidemann E (1993) Probability model for molecular recognition in biological receptor repertoires: significance to the olfactory system. Proc Natl Acad Sci U S A 90(8):3715–9.
Newman JRS, Ghaemmaghami S, Ihmels J, Breslow DK, Noble M, DeRisi JL, and Weissman JS (2006) Single-cell proteomic analysis of S. cerevisiae reveals the architecture of biological noise. Nature 441:840–6.
Toroczkai Z and Bassler KE (2004) Jamming is limited in scale-free systems. Nature 428:170.
vonDassow G, Meir E, Munro EM, and Odell GM (2000) The segment polarity network is a robust developmental module. Nature 406:188–92.
Elowitz MB, Levine AJ, Siggia ED, and Swain PS (2002) Stochastic gene expression in a single cell. Science 297:1183.
Raser JM and O’Shea EK (2005) Noise in gene expression: origins, consequences, and control. Science 309:2010–3.
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Maslov, S. (2008). Topological and Dynamical Properties of Protein Interaction Networks. In: Panchenko, A., Przytycka, T. (eds) Protein-protein Interactions and Networks. Computational Biology, vol 9. Springer, London. https://doi.org/10.1007/978-1-84800-125-1_7
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DOI: https://doi.org/10.1007/978-1-84800-125-1_7
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