Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS
Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS
复制标题
使用 SOSTOOLS 进行细菌热休克反应的模型验证和稳健稳定性分析
DOI：
10.1109/cdc.2003.1271735
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
J. Doyle
中科院分区：
文献类型：
--
作者：
H. El;S. Prajna;A. Papachristodoulou;M. Khammash;J. Doyle
基因调控网络模型固有的复杂性及其非线性性质使得它们难以使用传统工具进行分析或验证/无效。 SOSTOOLS 结合了鲁棒控制理论、实代数几何、优化和半定规划的思想，提供了一个有前途的框架来通过算法回答这些鲁棒性和模型验证问题。我们采用这些工具来研究细菌的热休克反应。为此，我们使用细菌热应激反应的降阶模型。我们研究该系统对参数不确定性的鲁棒稳定性特性，并通过证明存在某些反馈循环来重现系统已知时间行为的必要性来解决模型验证/失效问题。
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.
影响因子：
10.5
作者：
David B. Straus;William Walter;C A Gross
通讯作者：
David B. Straus;William Walter;C A Gross