Koeppl, H. and Hafner, M. and Steuer, R. (2009):
Semi-quantitative stability analysis constrains saturation levels in metabolic networks.
Aarhus, Denmark, In: Proceedings of the Intenational Workshop on Computational Systems Biology (WCSB), [Online-Edition: http://65.54.113.26/Publication/5234529],
[Conference or Workshop Item]
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
| Item Type: | Conference or Workshop Item |
|---|---|
| Erschienen: | 2009 |
| Creators: | Koeppl, H. and Hafner, M. and Steuer, R. |
| Title: | Semi-quantitative stability analysis constrains saturation levels in metabolic networks |
| Language: | English |
| 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 |
| Place of Publication: | Aarhus, Denmark |
| Divisions: | 18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications > Bioinspired Communication Systems 18 Department of Electrical Engineering and Information Technology 18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications |
| Event Title: | Proceedings of the Intenational Workshop on Computational Systems Biology (WCSB) |
| Date Deposited: | 04 Apr 2014 12:41 |
| Official URL: | http://65.54.113.26/Publication/5234529 |
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