The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Stability of genetic regulatory networks with time delay
Abstract
Presents a model for genetic regulatory networks with time delays, which is described by functional differential equations or delay differential equations (DDE), provide necessary and sufficient conditions for simplifying the genetic network model, and further analyze nonlinear properties of the model in terms of local stability and bifurcation. The proposed model transforms the original interacting network into several simple transcendental equations at an equilibrium, thereby significantly reducing the computational complexity and making analysis of stability and bifurcation tractable for even large-scale networks. Finally, to test the theory, a repressilator model is used as an example for numerical simulation.
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Cites
The logical analysis of continuous, non-linear biochemical control networks
Glass, L., & Kauffman, S. A. (1973) · Journal of Theoretical Biology · doi:10.1016/0022-5193(73)90208-7 · Cited by 940
Smolen, P., Baxter, D. A., & Byrne, J. H. (1998) · American Journal of Physiology-Cell Physiology · doi:10.1152/ajpcell.1998.274.2.c531 · Cited by 185
Cited by
Chaos and hyperchaos in the fractional-order Rössler equations
Li, C., & Chen, G. (2004) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2004.04.113 · Cited by 685
Stability of Genetic Networks With SUM Regulatory Logic: Lur'e System and LMI Approach
Li, C., Chen, L., & Aihara, K. (2006) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2006.883882 · Cited by 306
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Metadata
- Authors
- Chen, L., & Aihara, K.
- Venue
- IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
- Published
- 2002-05
- Volume
- 49
- Issue
- 5
- Pages
- 602-608
- ISSN
- 1057-7122 (ISSN-L)
- OpenAlex
- W2145644212
- Cited by
- 412
- References
- 2
- FWCI
- 1.84
- Type
- journal article
- Language
- en
- Open access
- closed
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- Chen, L., & Aihara, K. (2002). Stability of genetic regulatory networks with time delay. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. https://doi.org/10.1109/tcsi.2002.1001949
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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.
