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Activities and Sensitivities in Boolean Network Models
Open accessAbstract
We study how the notions of importance of variables in Boolean functions as well as the sensitivities of the functions to changes in these variables impact the dynamical behavior of Boolean networks. The activity of a variable captures its influence on the output of the function and is a measure of that variable's importance. The average sensitivity of a Boolean function captures the smoothness of the function and is related to its internal homogeneity. In a random Boolean network, we show that the expected average sensitivity determines the well-known critical transition curve. We also discuss canalizing functions and the fact that the canalizing variables enjoy higher importance, as measured by their activities, than the noncanalizing variables. Finally, we demonstrate the important role of the average sensitivity in determining the dynamical behavior of a Boolean network.
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Cites
The Origins of Order: Self-Organization and Selection in Evolution
Kauffman, S. A. (1993) · doi:10.1093/oso/9780195079517.001.0001 · Cited by 7,855
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Bonneau, R., Reiss, D. J., Shannon, P., Facciotti, M., Hood, L., Baliga, N. S., & Thorsson, V. (2006) · Genome Biology · doi:10.1186/gb-2006-7-5-r36 · Cited by 510
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Wang, W.-X., Lai, Y.-C., & Grebogi, C. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.004 · Cited by 299
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Aldana, M., Balleza, E., Kauffman, S., & Resendiz, O. (2007) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2006.10.027 · Cited by 277
Self-citationKnijnenburg, T. A., Klau, G. W., Iorio, F., Garnett, M. J., McDermott, U., Shmulevich, I., & Wessels, L. F. A. (2016) · Scientific Reports · doi:10.1038/srep36812 · Cited by 74
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Metadata
- Authors
- Shmulevich, I., & Kauffman, S. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-07-22
- Volume
- 93
- Issue
- 4
- Pages
- 048701-048701
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2058704592
- Cited by
- 279
- References
- 1
- FWCI
- 9.52
- Type
- journal article
- Language
- en
- Open access
- green
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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.
