Robust stability analysis and design under consideration of multiple feedback loops of the tryptophan regulatory network of escherichia coli

A. Meyer-Baese, F. Theis, Mark Emmett

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish (US)
Title of host publicationAdvances in Experimental Medicine and Biology
Pages189-197
Number of pages9
Volume680
DOIs
StatePublished - 2010
Externally publishedYes

Publication series

NameAdvances in Experimental Medicine and Biology
Volume680
ISSN (Print)00652598

Fingerprint

Tryptophan
Escherichia coli
Feedback
Transcription
Uncertainty
Robust stability

Keywords

  • E. coli
  • Multiple feedback loops
  • Stability analysis
  • Tryptophan regulatory network

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)
  • Medicine(all)

Cite this

Meyer-Baese, A., Theis, F., & Emmett, M. (2010). Robust stability analysis and design under consideration of multiple feedback loops of the tryptophan regulatory network of escherichia coli. In Advances in Experimental Medicine and Biology (Vol. 680, pp. 189-197). (Advances in Experimental Medicine and Biology; Vol. 680). https://doi.org/10.1007/978-1-4419-5913-3_22

Robust stability analysis and design under consideration of multiple feedback loops of the tryptophan regulatory network of escherichia coli. / Meyer-Baese, A.; Theis, F.; Emmett, Mark.

Advances in Experimental Medicine and Biology. Vol. 680 2010. p. 189-197 (Advances in Experimental Medicine and Biology; Vol. 680).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Meyer-Baese, A, Theis, F & Emmett, M 2010, Robust stability analysis and design under consideration of multiple feedback loops of the tryptophan regulatory network of escherichia coli. in Advances in Experimental Medicine and Biology. vol. 680, Advances in Experimental Medicine and Biology, vol. 680, pp. 189-197. https://doi.org/10.1007/978-1-4419-5913-3_22
Meyer-Baese A, Theis F, Emmett M. Robust stability analysis and design under consideration of multiple feedback loops of the tryptophan regulatory network of escherichia coli. In Advances in Experimental Medicine and Biology. Vol. 680. 2010. p. 189-197. (Advances in Experimental Medicine and Biology). https://doi.org/10.1007/978-1-4419-5913-3_22
Meyer-Baese, A. ; Theis, F. ; Emmett, Mark. / Robust stability analysis and design under consideration of multiple feedback loops of the tryptophan regulatory network of escherichia coli. Advances in Experimental Medicine and Biology. Vol. 680 2010. pp. 189-197 (Advances in Experimental Medicine and Biology).
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