El-Samad, H. and Prajna, S. and Papachristodoulou, A. and Khammash, M. and Doyle, J. C. (2003) Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS. In: 42nd IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 3766-3771. ISBN 0-7803-7924-1 http://resolver.caltech.edu/CaltechAUTHORS:20111010-100919353
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The complexity inherent in gene regulatory network models, as well as their nonlinear nature make them difficult to analyze or validate/invalidate using conventional tools. Combining ideas from robust control theory, real algebraic geometry, optimization and semi-definite programming, SOSTOOLS provides a promising framework to answer these robustness and model validation questions algorithmically. We adopt these tools in the study of the heat shock response in bacteria. For this purpose, we use a reduced order model of the bacterial heat stress response. We study the robust stability properties of this system to parametric uncertainty, and address the model validation/invalidation problem by proving the necessity for the existence of certain feedback loops to reproduce the known time behavior of the system.
|Item Type:||Book Section|
|Additional Information:||© 2003 IEEE. Issue Date: 9-12 Dec. 2003. Date of Current Version: 15 March 2004.|
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|Official Citation:||El-Samad, H.; Prajna, S.; Papachristodoulou, A.; Khammash, M.; Doyle, J.C.; , "Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS," Decision and Control, 2003. Proceedings. 42nd IEEE Conference on , vol.4, no., pp. 3766- 3771 vol.4, 9-12 Dec. 2003 doi: 10.1109/CDC.2003.1271735 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1271735&isnumber=28456|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||10 Oct 2011 21:47|
|Last Modified:||10 Oct 2011 21:47|
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