Skip to main content

Internal Regulation. The C·E = I = E·C Square-Matrix Method Illustrated for a Simple Case of a Complex Pathway

  • Chapter

Abstract

Metabolic control analysis (for review see Ref. 1) allows insight in the control properties of complicated enzymatic pathways. It also attempts to clarify the regulatory processes that keep these pathways at their desired operation point2,3. It is based on the concept that enzymes show elasticity for the various metabolites in a pathway, or, from another point of view, that metabolites show regulability for the various enzymes, which is expressed in terms of elasticity coefficients. Elasticity is inversely related with the enzymatic control of maintaining the steady state as well as of keeping the concentration of the metabolites constant. The result of this internal control is that any intrusion into either steady state or metabolite concentration is nullified, so, that the uniqueness of steady states is conserved.

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. D.A. Fell, Metabolic control analysis: a survey of its theoretical and experimental development, Biochem. J. 286:313–330.(1992).

    PubMed  CAS  Google Scholar 

  2. H.V.Westerhoff and K. van Dam, “Thermodynamics and Control of Biological Free-Energy Transduction,“Elsevier, Amsterdam (1987).

    Google Scholar 

  3. D. Kahn and H.V. Westerhoff, Regulation and homeostasis in Metabolic Control Theory: Interplay between fluctuations of variables and parameter changes, this volume.

    Google Scholar 

  4. D. Kahn and H.V. Westerhoff, Control theory of regulatory cascades, J.theor.Biol. 153:255–285 (1991).

    Article  PubMed  CAS  Google Scholar 

  5. S. Schuster, D. Kahn and H.V. Westerhoff, A modular approach to the description of the control of connected metabolic systems’.

    Google Scholar 

  6. H.V. Westerhoff and D.B. Kell, Matrix maethod for determining steps most rate-limiting to metabolic fluxes in biotechnological processes, Biotechn. Bioeng. 30:101–107 (1987).

    Article  CAS  Google Scholar 

  7. F. Ayres, “Theory and Problems of Matrices,” Schaum Publishing, New York (1962).

    Google Scholar 

  8. B. Crabtree and E.A. Newsholme, The derivation and interpretation of control coefficients, Biochem. J.247:113 -120 (1987).

    PubMed  CAS  Google Scholar 

  9. H.V. Westerhoff, J.G. Koster, M. van Workum and K.E. Rudd, On the control of gene expression, in:“Control of Metabolic Processes,” A. Cornish-Bowden and M.L. Cárdenas, eds, Plenum Press, New York, pp. 399–412 (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media New York

About this chapter

Cite this chapter

van der Gugten, A.A., Westerhoff, H.V. (1993). Internal Regulation. The C·E = I = E·C Square-Matrix Method Illustrated for a Simple Case of a Complex Pathway. In: Schuster, S., Rigoulet, M., Ouhabi, R., Mazat, JP. (eds) Modern Trends in Biothermokinetics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2962-0_40

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-2962-0_40

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6288-3

  • Online ISBN: 978-1-4615-2962-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics