Skip to main content

Exploring the Cellular Objective in Flux Balance Constraint-Based Models

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 8859))

Abstract

Genome-scale reconstructions are usually stoichiometric and analyzed under steady-state assumptions using constraint-based modelling with flux balance analysis (FBA). FBA requires not only the stoichiometry of the network, but also an appropriate cellular objective function and possible additional physico-chemical constraints to predict the set of resulting flux distributions of an organism.

To compute the metabolic flux distributions in microbes, the most common objective is to consider the maximization of the growth rate or yield. However, other objectives may be more accurate in predicting phenotypes. Since in general objective function selection is highly dependent on the growth conditions, the quality of the constraints and the dataset, further investigation is required for better understanding the universality of the objective function. In this work, we explore the validity of different classes of optimality criteria and the effect of single (or combinations of) standard constraints in order to improve the predictive power of intracellular flux distribution. These were evaluated to compare predicted fluxes to published experimental 13C-labelling fluxomic datasets using two metabolic systems with different conditions and comparison datasets.

It can be observed that by using different conditions and metabolic systems, the fidelity patterns of FBA can differ considerably. However, despite of the observed variations, several conclusions could be drawn. First, the maximization of biomass yield achieves one of the best objective function under all conditions studied. For the batch growth condition the most consistent optimality criteria appears to be described by maximization of the biomass yield per flux or by the objective of maximization ATP yield per flux unit. Moreover, under N-limited continuous cultures the criteria minimization of the flux distribution across the network or by the maximization of the biomass yield was determined as the most significant. Secondly, the predictions obtained by flux balance analysis using additional combined standard constraints are not necessarily better than those obtained using only one single constraint.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Becker, S.A., Feist, A.M., Mo, M.L., Hannum, G., Palsson, B.O., Herrgard, M.J.: Quantitative prediction of cellular metabolism with constraint-based models: the COBRA Toolbox. Nature Protocols 2, 727–738 (2007)

    Article  Google Scholar 

  2. Bordbar, A., Monk, J.M., King, Z.A., Palsson, B.O.: Constraint-based models predict metabolic and associated cellular functions. Nature Reviews Genetics 15(2), 107–120 (2014)

    Article  Google Scholar 

  3. Bonarius, H.P., Hatzimanikatis, V., Meesters, K.P., De Gooijer, C.D., Schmid, G., Tramper, J.: Metabolic flux analysis of hybridoma cells in different culture media using mass balances. Biotechnology and Bioengineering 50, 299–318 (1996)

    Article  Google Scholar 

  4. Bornstein, B.J., Keating, S.M., Jouraku, A., Hucka, M.: LibSBML: an API library for SBML. Bioinformatics 24, 880–881 (2008)

    Article  Google Scholar 

  5. Burgard, A.P., Maranas, C.D.: Optimization-based framework for inferring and testing hypothesized metabolic objective functions. Biotechnology and Bioengineering 82, 670–677 (2003)

    Article  Google Scholar 

  6. Costa, R.S., Machado, D., Rocha, I., Ferreira, E.C.: Critical perspective on the consequences of the limited availability of kinetic data in metabolic dynamic modelling. IET Systems Biology 5(3), 157–163 (2011)

    Article  Google Scholar 

  7. Emmerling, M., Dauner, M., Ponti, A., Fiaux, J., Hochuli, M., Szyperski, T., et al.: Metabolic flux responses to pyruvate kinase knockout in Escherichia coli. Journal of Bacteriology 184, 152–164 (2002)

    Article  Google Scholar 

  8. Feist, A.M., Herrgard, M.J., Thiele, I., Reed, J.L., Palsson, B.O.: Reconstruction of biochemical networks in microorganisms. Nature Reviews Microbiology 7, 129–143 (2009)

    Article  Google Scholar 

  9. Feist, A.M., Palsson, B.O.: The biomass objective function. Current Opinion in Microbiology 13, 344–349 (2010)

    Article  Google Scholar 

  10. Feist, A.M., Henry, C.S., Reed, J.L., Krummenacker, M., Joyce, A.R., Karp, P.D., et al.: A genome-scale metabolic reconstruction for Escherichia coli K-12 MG1655 that accounts for 1260 ORFs and thermodynamic information. Molecular Systems Biology 3, 121 (2007)

    Article  Google Scholar 

  11. Gianchandani, E.P., Oberhardt, M.A., Burgard, A.P., Maranas, D.C., Papin, J.A.: Predicting biologicsl system objectives de novo from internal state measurements. BMC Bioinformatics 9, 43–55 (2008)

    Article  Google Scholar 

  12. Harcombe, W.R., Delaney, N.F., Leiby, N., Klitgord, N., Marx, C.J.: The Ability of Flux Balance Analysis to Predict Evolution of Central Metabolism Scales with the Initial Distance to the Optimum. Plos Computational Biology 9 (2013)

    Google Scholar 

  13. Holm, A.K., Blank, L.M., Oldiges, M., Schmid, A., Solem, C., Jensen, P.R., et al.: Metabolic and Transcriptional Response to Cofactor Perturbations in Escherichia coli. Journal of Biological Chemistry 285, 17498–17506 (2010)

    Article  Google Scholar 

  14. Ibarra, R.U., Edwards, J.S., Palsson, B.O.: Escherichia coli K-12 undergoes adaptive evolution to achieve in silico predicted optimal growth. Nature 420, 186–189 (2002)

    Article  Google Scholar 

  15. Ishii, N., Nakahigashi, K., Baba, T., Robert, M., Soga, T., Kanai, A., et al.: Multiple high-throughput analyses monitor the response of E-coli to perturbations. Science 316, 593–597 (2007)

    Article  Google Scholar 

  16. Kauffman, K.J., Prakash, P., Edwards, J.S.: Advances in flux balance analysis. Current Opinion in Biotechnology 14, 491–496 (2003)

    Article  Google Scholar 

  17. Knorr, A.L., Jain, R., Srivastava, R.: Bayesian-based selection of metabolic objective functions. Bioinformatics 23, 351–357 (2007)

    Article  Google Scholar 

  18. Lewis, N.E., Nagarajan, H., Palsson, B.O.: Constraining the metabolic genotype-phenotype relationship using a phylogeny of in silico methods. Nature Reviews Microbiology 10, 291–305 (2012)

    Google Scholar 

  19. Lewis, N.E., Hixson, K.K., Conrad, T.M., Lerman, J.A., Charusanti, P., Polpitiya, A.D., Palsson, B.O., et al.: Omic data from evolved E. coli are consistent with computed optimal growth from genome scale models. Molecular Systems Biology 6(1) (2010)

    Google Scholar 

  20. Machado, D., Costa, R.S., Ferreira, E.C., Rocha, I., Tidor, B.: Exploring the gap between dynamic and constraint-based models of metabolism. Metabolic Engineering 14(2), 112–119 (2012)

    Article  Google Scholar 

  21. Makhorin, A.: GLPK (GNU linear programming kit) (2008)

    Google Scholar 

  22. Marler, R.T., Arora, J.S.: Survey of multi-objective optimization methods for engineering. Structural and Multidisciplinary Optimization 26, 369–395 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  23. Mahadevan, R., Schilling, C.H.: The effects of alternate optimal solutions in constraint-based genome-scale metabolic models. Metabolic Engineering 5(4), 264–276 (2003)

    Article  Google Scholar 

  24. Molenaar, D., Van Berlo, R., Ve Ridder, D., Teusink, B.: Shifts in growth strategies reflect tradeoffs in cellular economics. Molecular Systems Biology 5 (2009)

    Google Scholar 

  25. Oberhardt, M.A., Palsson, B.O., Papin, J.A.: Applications of genome-scale metabolic reconstructions. Molecular Systems Biology 5, 320 (2009)

    Article  Google Scholar 

  26. Orth, J.D., Thiele, I., Palsson, B.O.: What is flux balance analysis? Nature Biotechnology 28, 245–248 (2010)

    Article  Google Scholar 

  27. Orth, J.D., Fleming, R.M.T., Palsson, B.O.: Reconstruction and use of microbial metabolic networks: the core Escherichia coli metabolic model as an Educational Guide. In: Escherichia Coli and Salmonella: Cellular and Molecular Biology, ASM Press (2010)

    Google Scholar 

  28. Ow, D.S.W., Lee, D.Y., Yap, M., Oh, S.K.W.: Identification of cellular objective for elucidating the physiological state of plasmid-bearing E. coli using genome-scale in silico analysis. AIChE 25, 61–67 (2009)

    Google Scholar 

  29. Perrenoud, A., Sauer, U.: Impact of global transcriptional regulation by ArcA, ArcB, Cra, Crp, Cya, Fnr, and Mlc o glucose catabolism in Escherichia coli. J. Bacteriol. 187, 3171–3179 (2005)

    Article  Google Scholar 

  30. Price, N.D., Reed, J.L., Palsson, B.O.: Genome-scale models of microbial cells: evaluating the consequences of constraints. Nature Reviews Microbiology 2, 886–897 (2004)

    Article  Google Scholar 

  31. Price, N.D., Papin, J.A., Schilling, C.H., Palsson, B.O.: Genome-scale microbial in silico models: the constraints-based approach. Trends in Biotechnology 21, 162–169 (2003)

    Article  Google Scholar 

  32. Ramakrishna, R., Edwards, J.S., McCulloch, A., Palsson, B.O.: Flux-balance analysis of mitochondrial energy metabolism: consequences of systemic stoichiometric constraints. American Journal of Physiology-Regulatory, Integrative and Comparative Physiology 280(3), R695–R704 (2001)

    Google Scholar 

  33. Schuetz, R., Kuepfer, L., Sauer, U.: Systematic evaluation of objective functions for predicting intracellular fluxes in Escherichia coli. Molecular Systems Biology 3, 119 (2007)

    Article  Google Scholar 

  34. Schuetz, R., Zamboni, N., Zampieri, M., Heinemann, M., Sauer, U.: Multidimensional Optimality of Microbial Metabolism. Science 336, 601–604 (2012)

    Article  Google Scholar 

  35. Varma, A., Palsson, B.O.: Stoichiometric Flux Balance Models Quantitatively Predict Growth and Metabolic By-Product Secretion in Wild-Type Escherichia-Coli W3110. Applied and Environmental Microbiology 60, 3724–3731 (1994)

    Google Scholar 

  36. Van Gulik, W.M., Heijnen, J.J.: A Metabolic Network Stoichiometry Analysis of Microbial-Growth and Product Formation. Biotechnology and Bioengineering 48, 681–698 (1995)

    Article  Google Scholar 

  37. Zhao, J., Shimizu, K.: Metabolic flux analysis of Escherichia coli K12 grown on C 13-labeled acetate and glucose using GG-MS and powerful flux calculation method. Journal of Biotechnology 101, 101–117 (2003)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Costa, R.S., Nguyen, S., Hartmann, A., Vinga, S. (2014). Exploring the Cellular Objective in Flux Balance Constraint-Based Models. In: Mendes, P., Dada, J.O., Smallbone, K. (eds) Computational Methods in Systems Biology. CMSB 2014. Lecture Notes in Computer Science(), vol 8859. Springer, Cham. https://doi.org/10.1007/978-3-319-12982-2_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-12982-2_15

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12981-5

  • Online ISBN: 978-3-319-12982-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics