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Infinite-order percolation and giant fluctuations in a protein interaction network
Open accessAbstract
We investigate a model protein interaction network whose links represent interactions between individual proteins. This network evolves by the functional duplication of proteins, supplemented by random link addition to account for mutations. When link addition is dominant, an infinite-order percolation transition arises as a function of the addition rate. In the opposite limit of high duplication rate, the network exhibits giant structural fluctuations in different realizations. For biologically relevant growth rates, the node degree distribution has an algebraic tail with a peculiar rate dependence for the associated exponent.
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Cites
A comprehensive analysis of protein–protein interactions in Saccharomyces cerevisiae
Uetz, P., Giot, L., Cagney, G., Mansfield, T. A., Judson, R. S., Knight, J. R., Lockshon, D., Narayan, V., Srinivasan, M., Pochart, P., et al. (2000) · Nature · doi:10.1038/35001009 · Cited by 4,706
Cited by
The Structure and Function of Complex Networks
Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
Network biology: understanding the cell's functional organization
Barabási, A.-L., & Oltvai, Z. N. (2004) · Nature Reviews Genetics · doi:10.1038/nrg1272 · Cited by 7,903
Critical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220
Evolving protein interaction networks through gene duplication
Pastor-Satorras, R., Smith, E., & Solé, R. V. (2003) · Journal of Theoretical Biology · doi:10.1016/s0022-5193(03)00028-6 · Cited by 429
Percolation on complex networks: Theory and application
Li, M., Liu, R.-R., Lü, L., Hu, M.-B., Xu, S., & Zhang, Y.-C. (2021) · Physics Reports · doi:10.1016/j.physrep.2020.12.003 · Cited by 365
Metadata
- Authors
- Kim, J., Krapivsky, P. L., Kahng, B., & Redner, S.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2002-11-11
- Volume
- 66
- Issue
- 5
- Pages
- 055101-055101
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2057693235
- Cited by
- 175
- References
- 1
- FWCI
- 6.06
- Type
- journal article
- Language
- en
- Open access
- green
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- Kim, J., Krapivsky, P. L., Kahng, B., & Redner, S. (2002). Infinite-order percolation and giant fluctuations in a protein interaction network. Physical Review E. https://doi.org/10.1103/physreve.66.055101
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
