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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Meyer-Baese, A. Cappendijk, S. Althaus, E. |
| Copyright Year | 2009 |
| Description | Author affiliation: Department of Biomedical Sciences, Tallahassee, FL 32306-4300, US (Cappendijk, S.) || Department of Scientific Computing, Florida State University, Tallahassee, 32310-6046, US (Meyer-Baese, A.) || Max-Planck-Institute for Informatics, Saarbrücken, 66123 Germany (Althaus, E.) |
| Abstract | We establish stability results for a class of biological networks with different time-scales under parameter perturbations and determine conditions that ensure the existence of exponentially stable equilibria of the perturbed biological system. The perturbed system is modelled as nonlinear perturbations to a known nonlinear idealized system and is represented by two time-scale subsystems. We derive a Lyapunov function for the coupled system and a maximal upper bound for the fast time scale associated with the fast state. Resulting stability conditions for two important biological networks, a neural network and a gene regulatory network are derived. |
| Starting Page | 2098 |
| Ending Page | 2102 |
| File Size | 689414 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781424435487 |
| ISSN | 10987576 |
| DOI | 10.1109/IJCNN.2009.5178704 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2009-06-14 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Stability analysis Biological system modeling Uncertainty Neural networks Biological systems Robustness Nonlinear dynamical systems Lyapunov method Upper bound Chemicals |
| Content Type | Text |
| Resource Type | Article |
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