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Open Access Green as soon as Postprint is submitted to ZB.
Robust stability analysis and design under consideration of multiple feedback loops of the tryptophan regulatory network of Escherichia coli.
Adv. Exp. Med. Biol. 680, 189-197 (2010)
The tryptophan system present in Escherichia coli represents an important regulatory unit described by multiple feedback loops. The role of these feedback loops is crucial for the analysis of the dynamical behavior of the tryptophan synthesis. We analyze the robust stability of this system which models the dynamics of both fast state, such as transcription and synthesis of free operator, and slow state, such as translation and tryptophan synthesis under consideration of nonlinear uncertainties. In addition, we analyze the role of these feedback loops as key design components of this regulatory unit responsible for its physiological performance. The range of allowed parameter perturbations and the conditions that ensure the existence of asymptotically stable equilibria of the perturbed system are determined. We also analyze two important alternate regulatory designs for the tryptophan synthesis pathway and derive the stability conditions.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
tryptophan system; robust stability; biological regulators; singulary perturbed system, E. coli; Multiple feedback loops; Stability analysis; Tryptophan regulatory network
ISSN (print) / ISBN
0065-2598
Quellenangaben
Volume: 680,
Pages: 189-197
Series
Advances in Experimental Medicine and Biology
Publisher
Springer
Publishing Place
New York
Non-patent literature
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Reviewing status
Peer reviewed