The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Stability of Genetic Networks With SUM Regulatory Logic: Lur'e System and LMI Approach
Abstract
In this paper, we present a nonlinear model for genetic regulatory networks with SUM regulatory functions. We show that the genetic network can be transformed into Lur'e form. Based on the Lyapunov method and the Lur'e system approach, sufficient conditions for the stability of the genetic networks are derived, in particular for the cases with time delays owing to the slow processes of transcription, translation, and translocation, and for the cases with stochastic perturbations due to natural random intra- and inter-cellular fluctuations. All the stability conditions are given in terms of linear matrix inequalities (LMIs), which are very easy to be verified. To test the effectiveness of our theoretical results, several examples of genetic networks are also presented in this paper
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Linear Matrix Inequalities in System and Control Theory
Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970777 · Cited by 21,687
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
Stochastic Gene Expression in a Single Cell
Elowitz, M. B., Levine, A. J., Siggia, E. D., & Swain, P. S. (2002) · Science · doi:10.1126/science.1070919 · Cited by 5,441
A synthetic oscillatory network of transcriptional regulators
Elowitz, M. B., & Leibler, S. (2000) · Nature · doi:10.1038/35002125 · Cited by 4,630
Modeling and Simulation of Genetic Regulatory Systems: A Literature Review
de Jong, H. (2002) · Journal of Computational Biology · doi:10.1089/10665270252833208 · Cited by 2,663
Stochastic Differential Equations: Theory and Applications.
Whittle, P., & Arnold, L. (1976) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344856 · Cited by 2,351
Global Mapping of the Yeast Genetic Interaction Network
Tong, A. H. Y., Lesage, G., Bader, G. D., Ding, H., Xu, H., Xin, X., Young, J., Berriz, G. F., Brost, R. L., Chang, M., et al. (2004) · Science · doi:10.1126/science.1091317 · Cited by 2,095
Vidyasagar, M., & Desoer, C. A. (1980) · IEEE Transactions on Systems, Man, and Cybernetics · doi:10.1109/tsmc.1980.4308549 · Cited by 2,011
Noise in Gene Expression: Origins, Consequences, and Control
Raser, J. M., & O'Shea, E. K. (2005) · Science · doi:10.1126/science.1105891 · Cited by 1,750
Introduction to the Theory and Applications of Functional Differential Equations
Kolmanovskii, V. B., & Myshkis, A. (1999) · Springer eBooks · doi:10.1007/978-94-017-1965-0 · Cited by 1,640
Metadata
- Authors
- Li, C., Chen, L., & Aihara, K.
- Venue
- IEEE Transactions on Circuits and Systems I: Regular Papers
- Published
- 2006-11
- Volume
- 53
- Issue
- 11
- Pages
- 2451-2458
- ISSN
- 1057-7122 (ISSN-L)
- OpenAlex
- W2120510384
- Cited by
- 306
- References
- 26
- FWCI
- 5.65
- Type
- journal article
- Language
- en
- Open access
- closed
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- Li, C., Chen, L., & Aihara, K. (2006). Stability of Genetic Networks With SUM Regulatory Logic: Lur'e System and LMI Approach. IEEE Transactions on Circuits and Systems I: Regular Papers. https://doi.org/10.1109/tcsi.2006.883882
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