Capturing the essence of a metabolic network: a flux balance analysis approach.

As genome-scale metabolic reconstructions emerge, tools to manage their size and complexity will be increasingly important. Flux balance analysis (FBA) is a constraint-based approach widely used to study the metabolic capabilities of cellular or subcellular systems. FBA problems are highly underdetermined and many different phenotypes can satisfy any set of constraints through which the metabolic system is represented. Two of the main concerns in FBA are exploring the space of solutions for a given metabolic network and finding a specific phenotype which is representative for a given task such as maximal growth rate. Here, we introduce a recursive algorithm suitable for overcoming both of these concerns. The method proposed is able to find the alternate optimal patterns of active reactions of an FBA problem and identify the minimal subnetwork able to perform a specific task as optimally as the whole. Our method represents an alternative to and an extension of other approaches conceived for exploring the space of solutions of an FBA problem. It may also be particularly helpful in defining a scaffold of reactions upon which to build up a dynamic model, when the important pathways of the system have not yet been well-defined.

[1]  R. Lenski,et al.  The population genetics of ecological specialization in evolving Escherichia coli populations , 2000, Nature.

[2]  E. Hill Journal of Theoretical Biology , 1961, Nature.

[3]  G. Church,et al.  Genome-Scale Metabolic Model of Helicobacter pylori 26695 , 2002, Journal of bacteriology.

[4]  B. Palsson,et al.  Genome-scale reconstruction of the Saccharomyces cerevisiae metabolic network. , 2003, Genome research.

[5]  H. Holzhütter The principle of flux minimization and its application to estimate stationary fluxes in metabolic networks. , 2004, European journal of biochemistry.

[6]  Erwin P. Gianchandani,et al.  Flux balance analysis in the era of metabolomics , 2006, Briefings Bioinform..

[7]  Bernhard O. Palsson,et al.  Metabolic flux balance analysis and the in silico analysis of Escherichia coli K-12 gene deletions , 2000, BMC Bioinformatics.

[8]  Kenneth J. Kauffman,et al.  Advances in flux balance analysis. , 2003, Current opinion in biotechnology.

[9]  B. Palsson,et al.  Genome-scale models of microbial cells: evaluating the consequences of constraints , 2004, Nature Reviews Microbiology.

[10]  Evangelos Simeonidis,et al.  Flux balance analysis: a geometric perspective. , 2009, Journal of theoretical biology.

[11]  J Tramper,et al.  Metabolic flux analysis of hybridoma cells in different culture media using mass balances , 1996, Biotechnology and bioengineering.

[12]  B O Palsson,et al.  Flux-balance analysis of mitochondrial energy metabolism: consequences of systemic stoichiometric constraints. , 2001, American journal of physiology. Regulatory, integrative and comparative physiology.

[13]  H. Qian,et al.  Thermodynamic constraints for biochemical networks. , 2004, Journal of theoretical biology.

[14]  H. Qian,et al.  Energy balance for analysis of complex metabolic networks. , 2002, Biophysical journal.

[15]  B. Palsson,et al.  Biochemical production capabilities of escherichia coli , 1993, Biotechnology and bioengineering.

[16]  B. Palsson,et al.  Theory for the systemic definition of metabolic pathways and their use in interpreting metabolic function from a pathway-oriented perspective. , 2000, Journal of theoretical biology.

[17]  GARRET SWART,et al.  Finding the Convex Hull Facet by Facet , 1985, J. Algorithms.

[18]  B. Palsson,et al.  Network analysis of intermediary metabolism using linear optimization. II. Interpretation of hybridoma cell metabolism. , 1992, Journal of theoretical biology.

[19]  T. H. Matheiss,et al.  A Survey and Comparison of Methods for Finding All Vertices of Convex Polyhedral Sets , 1980, Math. Oper. Res..

[20]  J. Edwards,et al.  Systems Properties of the Haemophilus influenzaeRd Metabolic Genotype* , 1999, The Journal of Biological Chemistry.

[21]  D. Fell,et al.  Fat synthesis in adipose tissue. An examination of stoichiometric constraints. , 1986, The Biochemical journal.

[22]  B. Palsson,et al.  Stoichiometric flux balance models quantitatively predict growth and metabolic by-product secretion in wild-type Escherichia coli W3110 , 1994, Applied and environmental microbiology.

[23]  L. Acerenza,et al.  On the Origins of a Crowded Cytoplasm , 2006, Journal of Molecular Evolution.

[24]  F. Llaneras,et al.  Stoichiometric modelling of cell metabolism. , 2008, Journal of bioscience and bioengineering.

[25]  L. Acerenza,et al.  A model combining cell physiology and population genetics to explain Escherichia coli laboratory evolution , 2001, BMC Evolutionary Biology.

[26]  B. Palsson,et al.  The Escherichia coli MG1655 in silico metabolic genotype: its definition, characteristics, and capabilities. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[27]  L. Acerenza,et al.  A Strategy to Calculate the Patterns of Nutrient Consumption by Microorganisms Applying a Two-Level Optimisation Principle to Reconstructed Metabolic Networks , 2008, Journal of biological physics.

[28]  I. Grossmann,et al.  Recursive MILP model for finding all the alternate optima in LP models for metabolic networks , 2000 .