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Biophysical Journal 87:2172-2186 (2004)
© 2004 The Biophysical Society

Uniform Sampling of Steady-State Flux Spaces: Means to Design Experiments and to Interpret Enzymopathies

Nathan D. Price, Jan Schellenberger and Bernhard O. Palsson

Department of Bioengineering, University of California at San Diego, La Jolla, California

Correspondence: Address reprint requests to Bernhard O. Palsson, Dept. of Bioengineering, University of California, 9500 Gilman Dr., La Jolla, CA 92093-0412. E-mail:palsson{at}ucsd.edu.

Reconstruction of genome-scale metabolic networks is now possible using multiple different data types. Constraint-based modeling is an approach to interrogate capabilities of reconstructed networks by constraining possible cellular behavior through the imposition of physicochemical laws. As a result, a steady-state flux space is defined that contains all possible functional states of the network. Uniform random sampling of the steady-state flux space allows for the unbiased appraisal of its contents. Monte Carlo sampling of the steady-state flux space of the reconstructed human red blood cell metabolic network under simulated physiologic conditions yielded the following key results: 1), probability distributions for the values of individual metabolic fluxes showed a wide variety of shapes that could not have been inferred without computation; 2), pairwise correlation coefficients were calculated between all fluxes, determining the level of independence between the measurement of any two fluxes, and identifying highly correlated reaction sets; and 3), the network-wide effects of the change in one (or a few) variables (i.e., a simulated enzymopathy or fixing a flux range based on measurements) were computed. Mathematical models provide the most compact and informative representation of a hypothesis of how a cell works. Thus, understanding model predictions clearly is vital to driving forward the iterative model-building procedure that is at the heart of systems biology. Taken together, the Monte Carlo sampling procedure provides a broadening of the constraint-based approach by allowing for the unbiased and detailed assessment of the impact of the applied physicochemical constraints on a reconstructed network.




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