Robust stability analysis of the heat shock response in E. coli

被引：0

作者：

Meyer-Base, Anke ^{[1
]}

van Engelen, Robert ^{[2
]}

Cappendijk, Susanne ^{[3
]}

机构：

[1] Florida State Univ, Dept Elect & Comp Engn, Tallahassee, FL 32310 USA

[2] Florida State Univ, Sch Computat Sci, Tallahassee, FL 32310 USA

[3] Florida State Univ, Dept Biomed Sci, Tallahassee, FL 32310 USA

来源：

INDEPENDENT COMPONENT ANALYSES, WAVELETS, UNSUPERVISED NANO-BIOMIMETIC SENSORS, AND NEURAL NETWORKS VI | 2008年 / 6979卷

关键词：

heat shock response in E. coli; noise perturbation; robust stability; singularly perturbed system;

D O I：

10.1117/12.777293

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We establish robust stability results for the bacterial heat stress response by using a reduced-order model with different time-scales under parameter perturbations and determine conditions that ensure the existence of asymptotically stable equilibria of the perturbed system. It is assumed that the system uncertainties are limited by the upper bounds of their norms. We derive a Lyapunov function for the coupled system and a maximal upper bound for the fast time scale associated with the unfolded proteins state.

引用

页数：8

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