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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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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
tryptophan system; robust stability; biological regulators; singulary perturbed system, E. coli; Multiple feedback loops; Stability analysis; Tryptophan regulatory network
ISSN (print) / ISBN
0065-2598
Zeitschrift
Advances in Experimental Medicine and Biology
Quellenangaben
Band: 680,
Seiten: 189-197
Reihe
Advances in Experimental Medicine and Biology
Verlag
Springer
Verlagsort
New York
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed