Improved Duplication Models for Proteome Network Evolution

  • Gürkan Bebek
  • Petra Berenbrink
  • Colin Cooper
  • Tom Friedetzky
  • Joseph H. Nadeau
  • S. Cenk Sahinalp
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4023)


Protein-protein interaction networks, particularly that of the yeast S. Cerevisiae, have recently been studied extensively. These networks seem to satisfy the small world property and their (1-hop) degree distribution seems to form a power law. More recently, a number of duplication based random graph models have been proposed with the aim of emulating the evolution of protein-protein interaction networks and satisfying these two graph theoretical properties. In this paper, we show that the proposed model of Pastor-Satorras et al. does not generate the power law degree distribution with exponential cutoff as claimed and the more restrictive model by Chung et al. cannot be interpreted unconditionally. It is possible to slightly modify these models to ensure that they generate a power law degree distribution. However, even after this modification, the more general k-hop degree distribution achieved by these models, for k > 1, are very different from that of the yeast proteome network. We address this problem by introducing a new network growth model that takes into account the sequence similarity between pairs of proteins (as a binary relationship) as well as their interactions. The new model captures not only the k-hop degree distribution of the yeast protein interaction network for all k > 0, but it also captures the 1-hop degree distribution of the sequence similarity network, which again seems to form a power law.


Degree Distribution Average Degree Coexpression Network Scale Free Network Protein Interaction Network 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Gürkan Bebek
    • 1
  • Petra Berenbrink
    • 2
  • Colin Cooper
    • 3
  • Tom Friedetzky
    • 4
  • Joseph H. Nadeau
    • 5
  • S. Cenk Sahinalp
    • 2
  1. 1.Department of EECS, Case Western Reserve University, Cleveland, OH 44106-7071USA
  2. 2.School of Computing Science, Simon Fraser University, Burnaby BC, V5A 1S6Canada
  3. 3.Department of Computer Science, King’s College, London WC2R 2LSUK
  4. 4.Department of Computer Science, Durham University, Durham, DH1 3LEUK
  5. 5.Genetics Department, Case Western Reserve University, Cleveland, OH 44106-4955USA

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