Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Analysis
  • Published:

Effect of sampling on topology predictions of protein-protein interaction networks

Abstract

Currently available protein-protein interaction (PPI) network or 'interactome' maps, obtained with the yeast two-hybrid (Y2H) assay or by co-affinity purification followed by mass spectrometry (co-AP/MS), only cover a fraction of the complete PPI networks. These partial networks display scale-free topologies–most proteins participate in only a few interactions whereas a few proteins have many interaction partners. Here we analyze whether the scale-free topologies of the partial networks obtained from Y2H assays can be used to accurately infer the topology of complete interactomes. We generated four theoretical interaction networks of different topologies (random, exponential, power law, truncated normal). Partial sampling of these networks resulted in sub-networks with topological characteristics that were virtually indistinguishable from those of currently available Y2H-derived partial interactome maps. We conclude that given the current limited coverage levels, the observed scale-free topology of existing interactome maps cannot be confidently extrapolated to complete interactomes.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Figure 1: Sampling of an Erdös-Rényi random network.
Figure 2: Sampled networks derived from starting networks of various topologies.
Figure 3: Degree distribution of sampled networks.

Similar content being viewed by others

References

  1. Barabási, A.L. & Oltvai, Z.N. Network biology: understanding the cell's functional organization. Nat. Rev. Genet. 5, 101–113 (2004).

    Article  PubMed  CAS  Google Scholar 

  2. Strogatz, S.H. Exploring complex networks. Nature 410, 268–276 (2001).

    Article  CAS  PubMed  Google Scholar 

  3. Barabási, A.L., Albert, R. & Jeong, H. Scale-free characteristics of random networks: the topology of the world-wide web. Physica A (Amsterdam) 281, 69–77 (2000).

    Article  Google Scholar 

  4. Yook, S.H., Jeong, H. & Barabasi, A.L. Modeling the Internet's large-scale topology. Proc. Natl. Acad. Sci. USA 99, 13382–13386 (2002).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  5. Uetz, P. et al. A comprehensive analysis of protein-protein interactions in Saccharomyces cerevisiae. Nature 403, 623–627 (2000).

    Article  CAS  PubMed  Google Scholar 

  6. Ito, T. et al. A comprehensive two-hybrid analysis to explore the yeast protein interactome. Proc. Natl. Acad. Sci. USA 98, 4569–4574 (2001).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  7. Reboul, J. et al. C. elegans ORFeome version 1.1: experimental verification of the genome annotation and resource for proteome-scale protein expression. Nat. Genet. 34, 35–41 (2003).

    Article  PubMed  Google Scholar 

  8. Giot, L. et al. A protein interaction map of Drosophila melanogaster. Science 302, 1727–1736 (2003).

    Article  CAS  PubMed  Google Scholar 

  9. Li, S. et al. A map of the interactome network of the metazoan C. elegans. Science 303, 540–543 (2004).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  10. Han, J.D. et al. Evidence for dynamically organized modularity in the yeast protein-protein interaction network. Nature 430, 88–93 (2004).

    Article  CAS  PubMed  Google Scholar 

  11. Gavin, A.C. et al. Functional organization of the yeast proteome by systematic analysis of protein complexes. Nature 415, 141–147 (2002).

    Article  CAS  PubMed  Google Scholar 

  12. Ho, Y. et al. Systematic identification of protein complexes in Saccharomyces cerevisiae by mass spectrometry. Nature 415, 180–183 (2002).

    Article  CAS  PubMed  Google Scholar 

  13. Walhout, A.J., Boulton, S.J. & Vidal, M. Yeast two-hybrid systems and protein interaction mapping projects for yeast and worm. Yeast 17, 88–94 (2000).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  14. Edwards, A.M. et al. Bridging structural biology and genomics: assessing protein interaction data with known complexes. Trends Genet. 18, 529–536 (2002).

    Article  CAS  PubMed  Google Scholar 

  15. Bader, G.D. & Hogue, C.W. Analyzing yeast protein-protein interaction data obtained from different sources. Nat. Biotechnol. 20, 991–997 (2002).

    Article  CAS  PubMed  Google Scholar 

  16. von Mering, C. et al. Comparative assessment of large-scale data sets of protein-protein interactions. Nature 417, 399–403 (2002).

    Article  CAS  PubMed  Google Scholar 

  17. Grigoriev, A. On the number of protein-protein interactions in the yeast proteome. Nucleic Acids Res. 31, 4157–4161 (2003).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  18. Ito, T. et al. Roles for the two-hybrid system in exploration of the yeast protein interactome. Mol. Cell. Proteomics 1, 561–566 (2002).

    Article  CAS  PubMed  Google Scholar 

  19. Formstecher, E. et al. Protein interaction mapping: A Drosophila case study. Genome Res. 15, 376–384 (2005).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  20. Stumpf, M.P., Wiuf, C. & May, R.M. Subnets of scale-free networks are not scale-free: Sampling properties of networks. Proc. Natl. Acad. Sci. USA (2005).

  21. Przulj, N., Corneil, D.G. & Jurisica, I. Modeling interactome: scale-free or geometric? Bioinformatics 20, 3508–3515 (2004).

    Article  CAS  PubMed  Google Scholar 

  22. Jeong, H., Mason, S.P., Barabasi, A.L. & Oltvai, Z.N. Lethality and centrality in protein networks. Nature 411, 41–42 (2001).

    Article  CAS  PubMed  Google Scholar 

  23. Thomas, A., Cannings, R., Monk, N.A. & Cannings, C. On the structure of protein-protein interaction networks. Biochem. Soc. Trans. 31, 1491–1496 (2003).

    Article  CAS  PubMed  Google Scholar 

  24. Yook, S.H., Oltvai, Z.N. & Barabasi, A.L. Functional and topological characterization of protein interaction networks. Proteomics 4, 928–942 (2004).

    Article  CAS  PubMed  Google Scholar 

  25. Erdös, P. & Rényi, A. On the evolution of random graphs. Publ. Math. Inst. Hung. Acad. Sci. 5, 17–60 (1960).

    Google Scholar 

  26. Barabási, A.L. & Albert, R. Emergence of scaling in random networks. Science 286, 509–512 (1999).

    Article  PubMed  Google Scholar 

  27. Goffeau, A. et al. Life with 6000 genes. Science 274, 546, 563–547 (1996).

    Article  CAS  PubMed  Google Scholar 

  28. The C. elegans Sequencing Consortium. Genome sequence of the nematode C. elegans: a platform for investigating biology. Science 282, 2012–2018 (1998).

  29. Adams, M.D. et al. The genome sequence of Drosophila melanogaster. Science 287, 2185–2195 (2000).

    Article  PubMed  Google Scholar 

  30. Schwikowski, B., Uetz, P. & Fields, S. A network of protein-protein interactions in yeast. Nat. Biotechnol. 18, 1257–1261 (2000).

    Article  CAS  PubMed  Google Scholar 

  31. Zhu, H. et al. Global analysis of protein activities using proteome chips. Science 293, 2101–2105 (2001).

    Article  CAS  PubMed  Google Scholar 

  32. Tong, A.H. et al. A combined experimental and computational strategy to define protein interaction networks for peptide recognition modules. Science 295, 321–324 (2002).

    Article  CAS  PubMed  Google Scholar 

  33. Walhout, A.J. & Vidal, M. A genetic strategy to eliminate self-activator baits prior to high-throughput yeast two-hybrid screens. Genome Res. 9, 1128–1134 (1999).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  34. Legrain, P., Wojcik, J. & Gauthier, J.M. Protein-protein interaction maps: a lead towards cellular functions. Trends Genet. 17, 346–352 (2001).

    Article  CAS  PubMed  Google Scholar 

  35. Vidalain, P.O., Boxem, M., Ge, H., Li, S. & Vidal, M. Increasing specificity in high-throughput yeast two-hybrid experiments. Methods 32, 363–370 (2004).

    Article  CAS  PubMed  Google Scholar 

  36. Albert, R., Jeong, H. & Barabasi, A.L. Error and attack tolerance of complex networks. Nature 406, 378–382 (2000).

    Article  CAS  PubMed  Google Scholar 

  37. Wagner, A. Robustness against mutations in genetic networks of yeast. Nat. Genet. 24, 355–361 (2000).

    Article  CAS  PubMed  Google Scholar 

  38. Vogelstein, B., Lane, D. & Levine, A.J. Surfing the p53 network. Nature 408, 307–310 (2000).

    Article  CAS  PubMed  Google Scholar 

  39. Apic, G., Ignjatovic, T., Boyer, S. & Russell, R.B. Illuminating drug discovery with biological pathways. FEBS Lett. 579, 1872–1877 (2005).

    Article  CAS  PubMed  Google Scholar 

  40. Lappe, M. & Holm, L. Unraveling protein interaction networks with near-optimal efficiency. Nat. Biotechnol. 22, 98–103 (2004).

    Article  CAS  PubMed  Google Scholar 

  41. Eisenberg, E. & Levanon, E.Y. Preferential attachment in the protein network evolution. Phys. Rev. Lett. 91, 138701 (2003).

    Article  PubMed  CAS  Google Scholar 

  42. Qin, H., Lu, H.H., Wu, W.B. & Li, W.H. Evolution of the yeast protein interaction network. Proc. Natl. Acad. Sci. USA 100, 12820–12824 (2003).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  43. Pereira-Leal, J.B., Audit, B., Peregrin-Alvarez, J.M. & Ouzounis, C.A. An exponential core in the heart of the yeast protein interaction network. Mol. Biol. Evol. 22, 421–425 (2004).

    Article  PubMed  CAS  Google Scholar 

  44. Hartwell, L.H., Hopfield, J.J., Leibler, S. & Murray, A.W. From molecular to modular cell biology. Nature 402, C47–C52 (1999).

    Article  CAS  PubMed  Google Scholar 

  45. Poyatos, J.F. & Hurst, L.D. How biologically relevant are interaction-based modules in protein networks? Genome Biol. 5, R93 (2004).

    Article  PubMed  PubMed Central  Google Scholar 

  46. Bork, P. et al. Protein interaction networks from yeast to human. Curr. Opin. Struct. Biol. 14, 292–299 (2004).

    Article  CAS  PubMed  Google Scholar 

  47. Dunn, R., Dudbridge, F. & Sanderson, C.M. The use of edge-betweenness clustering to investigate biological function in protein interaction networks. BMC Bioinformatics 6, 39 (2005).

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  48. Shen-Orr, S.S., Milo, R., Mangan, S. & Alon, U. Network motifs in the transcriptional regulation network of Escherichia coli. Nat. Genet. 31, 64–68 (2002).

    Article  CAS  PubMed  Google Scholar 

  49. Rives, A.W. & Galitski, T. Modular organization of cellular networks. Proc. Natl. Acad. Sci. USA 100, 1128–1133 (2003).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  50. Bader, G.D. & Hogue, C.W. An automated method for finding molecular complexes in large protein interaction networks. BMC Bioinformatics 4, 2 (2003).

    Article  PubMed  PubMed Central  Google Scholar 

  51. Pereira-Leal, J.B., Enright, A.J. & Ouzounis, C.A. Detection of functional modules from protein interaction networks. Proteins 54, 49–57 (2004).

    Article  CAS  PubMed  Google Scholar 

Download references

Acknowledgements

We thank Mike Boxem, Fritz Roth and Debra Goldberg for extremely useful discussions and careful reading of the manuscript. This work was supported by grants from NIGMS, NHGRI, and NCI to M.V.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marc Vidal.

Ethics declarations

Competing interests

The authors declare no competing financial interests.

Supplementary information

Supplementary Fig. 1

Degree distribution of the complete theoretical networks. (PDF 851 kb)

Supplementary Fig. 2

Sampled networks derived from starting networks of various topologies. (PDF 4952 kb)

Supplementary Fig. 3

Degree distribution of sampled networks. (PDF 4683 kb)

Supplementary Table 1

Comparison between the PPI maps and sampled networks of similar size. (XLS 21 kb)

Supplementary Note (PDF 98 kb)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Han, JD., Dupuy, D., Bertin, N. et al. Effect of sampling on topology predictions of protein-protein interaction networks. Nat Biotechnol 23, 839–844 (2005). https://doi.org/10.1038/nbt1116

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/nbt1116

This article is cited by

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing