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Content-based network model with duplication and divergence

Author

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  • Şengün, Yasemin
  • Erzan, Ayşe

Abstract

We construct a minimal content-based realization of the duplication and divergence model of genomic networks introduced by Wagner [Proc. Natl. Acad. Sci. 91 (1994) 4387] and investigate the scaling properties of the directed degree distribution and clustering coefficient. We find that the content-based network exhibits crossover between two scaling regimes, with log-periodic oscillations for large degrees. These features are not present in the original gene duplication model, but inherent in the content-based model of Balcan and Erzan. The scaling form of the degree distribution of the content-based model turns out to be robust under duplication and divergence, with some re-adjustment of the scaling exponents, while the out-clustering coefficient goes over from a weak power-law dependence on the degree, to an exponential decay under mutations which include splitting and merging of strings.

Suggested Citation

  • Şengün, Yasemin & Erzan, Ayşe, 2006. "Content-based network model with duplication and divergence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 446-462.
    • Handle: RePEc:eee:phsmap:v:365:y:2006:i:2:p:446-462
    DOI: 10.1016/j.physa.2006.02.045
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