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Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS

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5 Author(s)
El-Samad, H. ; Mech. & Environ. Eng., California Univ., Santa Barbara, CA, USA ; Prajna, S. ; Papachristodoulou, A. ; Khammash, M.
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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.

Published in:

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on  (Volume:4 )

Date of Conference:

9-12 Dec. 2003

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