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Guaranteed and Randomized Methods for Stability Analysis of Uncertain Metabolic Networks

Koeppl, H. and Andreozzi, S. and Steuer, R. (2011):
Guaranteed and Randomized Methods for Stability Analysis of Uncertain Metabolic Networks.
In: Lecture notes in control and information sciences, Springer, pp. 297-309, 407, [Online-Edition: http://link.springer.com/chapter/10.1007/978-3-642-16135-3_2...],
[Article]

Abstract

A persistent problem hampering our understanding of the dynamics of large-scale metabolic networks is the lack of experimentally determined kinetic parameters that are necessary to build computationalmodels of biochemical processes. To overcome some of the limitations imposed by absent or incomplete kinetic data, structural kinetic modeling (SKM) was proposed recently as an intermediate approach between stoichiometric analysis and a full kinetic description. SKM extends stationary flux-balance analysis (FBA) by a local stability analysis utilizing an appropriate parametrization of the Jacobian matrix. To characterize the Jacobian, we utilize results from robust control theory to determine subintervals of the Jacobian’ entries that correspond to asymptotically stable metabolic states. Furthermore, we propose an efficient sampling scheme in combination with methods from computational geometry to sketch the stability region. A glycolytic pathway model comprising 12 uncertain parameters is used to assess the feasibility of the method.

Item Type: Article
Erschienen: 2011
Creators: Koeppl, H. and Andreozzi, S. and Steuer, R.
Title: Guaranteed and Randomized Methods for Stability Analysis of Uncertain Metabolic Networks
Language: English
Abstract:

A persistent problem hampering our understanding of the dynamics of large-scale metabolic networks is the lack of experimentally determined kinetic parameters that are necessary to build computationalmodels of biochemical processes. To overcome some of the limitations imposed by absent or incomplete kinetic data, structural kinetic modeling (SKM) was proposed recently as an intermediate approach between stoichiometric analysis and a full kinetic description. SKM extends stationary flux-balance analysis (FBA) by a local stability analysis utilizing an appropriate parametrization of the Jacobian matrix. To characterize the Jacobian, we utilize results from robust control theory to determine subintervals of the Jacobian’ entries that correspond to asymptotically stable metabolic states. Furthermore, we propose an efficient sampling scheme in combination with methods from computational geometry to sketch the stability region. A glycolytic pathway model comprising 12 uncertain parameters is used to assess the feasibility of the method.

Journal or Publication Title: Lecture notes in control and information sciences
Volume: 407
Publisher: Springer
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
Date Deposited: 04 Apr 2014 12:30
Official URL: http://link.springer.com/chapter/10.1007/978-3-642-16135-3_2...
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