Koeppl, H. ; Hafner, M. ; Steuer, R. (2009)
Semi-quantitative stability analysis constrains saturation levels in metabolic networks.
Proceedings of the Intenational Workshop on Computational Systems Biology (WCSB).
Konferenzveröffentlichung, Bibliographie
Kurzbeschreibung (Abstract)
Recently structural kinetic modeling has been proposed as an intermediary approach between a full kinetic descrip- tion of metabolic networks and a static constrained-based analysis of them. It extends the null-space analysis by a local stability analysis yielding a parametrization of the Jacobian in terms of saturation levels of the involved re- actions with respect to their substrate metabolite concen- tration. These levels are normalized and stay within well- defined bounds for every reaction. We utilize results from robust control theory to determine subintervals of satu- ration levels that render the steady state asymptotically stable. In particular we apply Kharitonov's theorem and parametric Lyapunov functions in conjunction with inter- val computation. A glycolytic pathway model comprising 12 reactions is used to illustrate the methods
Typ des Eintrags: | Konferenzveröffentlichung |
---|---|
Erschienen: | 2009 |
Autor(en): | Koeppl, H. ; Hafner, M. ; Steuer, R. |
Art des Eintrags: | Bibliographie |
Titel: | Semi-quantitative stability analysis constrains saturation levels in metabolic networks |
Sprache: | Englisch |
Publikationsjahr: | 2009 |
Ort: | Aarhus, Denmark |
Veranstaltungstitel: | Proceedings of the Intenational Workshop on Computational Systems Biology (WCSB) |
URL / URN: | http://65.54.113.26/Publication/5234529 |
Kurzbeschreibung (Abstract): | Recently structural kinetic modeling has been proposed as an intermediary approach between a full kinetic descrip- tion of metabolic networks and a static constrained-based analysis of them. It extends the null-space analysis by a local stability analysis yielding a parametrization of the Jacobian in terms of saturation levels of the involved re- actions with respect to their substrate metabolite concen- tration. These levels are normalized and stay within well- defined bounds for every reaction. We utilize results from robust control theory to determine subintervals of satu- ration levels that render the steady state asymptotically stable. In particular we apply Kharitonov's theorem and parametric Lyapunov functions in conjunction with inter- val computation. A glycolytic pathway model comprising 12 reactions is used to illustrate the methods |
Fachbereich(e)/-gebiet(e): | 18 Fachbereich Elektrotechnik und Informationstechnik 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Nachrichtentechnik > Bioinspirierte Kommunikationssysteme 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Nachrichtentechnik |
Hinterlegungsdatum: | 04 Apr 2014 12:41 |
Letzte Änderung: | 23 Sep 2021 14:32 |
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