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Proceedings Paper

Robust stability analysis of the heat shock response in E. coli
Author(s): Anke Meyer-Bäse; Robert van Engelen; Susanne Cappendijk
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Paper Abstract

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.

Paper Details

Date Published: 16 April 2008
PDF: 8 pages
Proc. SPIE 6979, Independent Component Analyses, Wavelets, Unsupervised Nano-Biomimetic Sensors, and Neural Networks VI, 69790A (16 April 2008); doi: 10.1117/12.777293
Show Author Affiliations
Anke Meyer-Bäse, Florida State Univ. (United States)
Robert van Engelen, Florida State Univ. (United States)
Susanne Cappendijk, Florida State Univ. (United States)


Published in SPIE Proceedings Vol. 6979:
Independent Component Analyses, Wavelets, Unsupervised Nano-Biomimetic Sensors, and Neural Networks VI
Harold H. Szu; F. Jack Agee, Editor(s)

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