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Algebraic Methods for the Analysis of Redundancy and Identifiability in Metabolic 13C-Labelling Systems
Wiechert, W.
Wiechert, W.
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Abstract
Stationary !?C tracer experiments supply a large amount of information related to metabolic
fluxes in microorganisms. The unknownintracellular fluxes can be determined from some
directly measured metabolic fluxes and the fractional labelling of intracellular carbon atom
pools. Metabolic ?C-Labelling Systems are modelled by large algebraic equation systems with
respect to fluxes and fractional labels. Identifiability of the unknownintracellular fluxes and
redundancy of measured quantities are of great importance for the design and evaluation of
experiments. This contribution presents algebraic methods to treat these problemsa priori and a
posteriori. The Gröbnerbasis algorithm from polynomialideal theory is shownto be capable of
solving all relevant problems. Ideas from algebraic geometry prove to be helpful in designing
corresponding computer algebraic solution strategies. As an application example some global
results on the identifiability of bidirectional reaction steps are derived.
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Date
1995
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GBF Gesellschaft für Biotechnologische Forschung mbH, Braunschweig
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Bioinformatics - from nucleic acids and proteins to cell metabolism, 169 - 184