Analysis and extension of a biochemical network model using robust control theory

Kim, Jongrae, Valeyev, Najil, Postlethwaite, Ian, Heslop-Harrison, Pat, Cho, Kwang-Hyun and Bates, Declan (2009) Analysis and extension of a biochemical network model using robust control theory. International Journal of Robust and Nonlinear Control, 20 (9). pp. 1017-1026. ISSN 1049-8923

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Official URL: http://dx.doi.org/10.1002/rnc.1528

Abstract

Mathematical models of biological processes which have been observed in vivo to be highly robust to intracellular and environmental variations should themselves display appropriate levels of robustness when analysed in silico. This paper uses techniques from robust control theory to analyse and extend a mathematical model of the interacting proteins underlying adenosine 3′, 5′-cyclic monophosphate (cAMP) oscillations in aggregating Dictyostelium cells. Starting with a previously proposed ‘minimal’ model, we show how robustness analysis using the structured singular value can identify points of structural fragility in the network. By combining these results with insights from recent results from the experimental literature, we show how the original model can be augmented with some important additional modules, comprising networks involving IP3 and Ca2+. By analysing the robustness of our new extended model, we are able to show that dynamic interactions between the different modules play a pivotal role in generating robust cAMP oscillations; thus, significantly improving our understanding of the design principles underlying this complex biological syste

Item Type: Article
Additional Information: robustness analysis, structured singular value, Dictyostelium, systems biology
Subjects: H600 Electronic and Electrical Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Sarah Howells
Date Deposited: 07 Sep 2012 14:41
Last Modified: 10 Aug 2015 11:28
URI: http://nrl.northumbria.ac.uk/id/eprint/8721

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