2014 | OriginalPaper | Buchkapitel
Fast Flux Module Detection Using Matroid Theory
verfasst von : Arne C. Müller, Frank J. Bruggeman, Brett G. Olivier, Leen Stougie
Erschienen in: Research in Computational Molecular Biology
Verlag: Springer International Publishing
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Flux balance analysis
(FBA) is one of the most often applied methods on genome-scale metabolic networks. Although FBA uniquely determines the optimal yield, the pathway that achieves this is usually not unique. The analysis of the optimal-yield flux space has been an open challenge.
Flux variability analysis
is only capturing some properties of the flux space, while
elementary mode analysis
is intractable due to the enormous number of elementary modes. However, it has been found by Kelk et al. 2012, that the space of optimal-yield fluxes decomposes into
flux modules
. These decompositions allow a much easier but still comprehensive analysis of the optimal-yield flux space.
Using the mathematical definition of module introduced by Müller and Bockmayr 2013, we discovered that flux modularity is rather a local than a global property which opened connections to matroid theory. Specifically, we show that our modules correspond one-to-one to so-called
separators
of an appropriate matroid. Employing efficient algorithms developed in matroid theory we are now able to compute the decomposition into modules in a few seconds for genome-scale networks. Using that every module can be represented by one reaction that represents its function, in this paper, we also present a method that uses this decomposition to visualize the interplay of modules. We expect the new method to replace flux variability analysis in the pipelines for metabolic networks.