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16 April 2008 Robust stability analysis of the heat shock response in E. coli
Anke Meyer-Bäse, Robert van Engelen, Susanne Cappendijk
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Proceedings Volume 6979, Independent Component Analyses, Wavelets, Unsupervised Nano-Biomimetic Sensors, and Neural Networks VI; 69790A (2008) https://doi.org/10.1117/12.777293
Event: SPIE Defense and Security Symposium, 2008, Orlando, Florida, United States
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.
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Anke Meyer-Bäse, Robert van Engelen, and Susanne Cappendijk "Robust stability analysis of the heat shock response in E. coli", Proc. SPIE 6979, Independent Component Analyses, Wavelets, Unsupervised Nano-Biomimetic Sensors, and Neural Networks VI, 69790A (16 April 2008); https://doi.org/10.1117/12.777293
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KEYWORDS
Independent component analysis
Neural networks
Proteins
Sensors
Wavelets
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