Control analysis of transition times

Extension of analysis and matrix method

Summary

The present theoretical basis of Control Analysis is extended with the definition of Transition Time Response Coefficients. Some new relationships between local and global coefficients defined in Control Analysis are presented. These relationships are in the form of matrix products constructed in a priori form. The use of these straightforward relationships is shown in an exemplary application corresponding to an experimental system consisting of the glycolytic degradation from glucose to glyceraldehyde-3-phosphate.

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References

  1. 1.

    Kacser H, Burns JA: The control of flux. Symp Soc Exp Biol 27, 65–104, 1973

    Google Scholar 

  2. 2.

    Heinrich R, Rapoport TA: A linear steady-state treatment of enzymatic chains. Eur J Biochem 42: 89–95, 1974

    Google Scholar 

  3. 3.

    Heinrich R, Rapoport TA: Mathematical analysis of multienzyme systems. 2. Steady-state and transient control. Biosystems 7: 130–136, 1975

    Google Scholar 

  4. 4.

    Kacser H, Sauro HM, Acerenza L: Control analysis of systems with enzyme interactions. In: A Cornish-Bowden and ML Cardenas (eds.) Control of Metabolic Processes. Plenum Press, New York, 1990, Chapter 20. In press

    Google Scholar 

  5. 5.

    Torres NV, Souto R, Melendez-Hevia E: Study of the flux and transition time control coefficient profiles in a metabolic system “in vitro” and effect of an external stimulator. Biochem J 260: 763–769, 1989

    Google Scholar 

  6. 6.

    Meléndez-Hevia E, Torres NV, Sicilia J, Kacser H: Control analysis of transition time in metabolic systems. Biochem J 265:195–202, 1990

    Google Scholar 

  7. 7.

    Acerenza L, Sauro HM, Kacser H: Control analysis of time-dependent metabolic systems. J Theor Biol 137: 423–444, 1989

    Google Scholar 

  8. 8.

    Cascante M, Franco R, Canela EL Analyse mathematique de la theorie du contrôle du metabolisme. In: J Mazat, C Reder (eds.) Contrôle du Metabolisme Cellulaire. Bordeaux, 1989a, pp. 53–63

  9. 9.

    Cascante M, Franco R, Canela El: Use of implicit methods from general sensitivity theory to develop a systematic approach to metabolic control. I Unbranched pathways. Mathemat. Biosci. 94: 271–288, 1989b

    Google Scholar 

  10. 10.

    Cascante M, Franco R, Canela EL Use of implicit methods from general sensitivity theory to develop a systematic approach to metabolic control. II Complex Systems. Mathemat Biosci 94: 289–309, 1989c

    Google Scholar 

  11. 11.

    Giersh C: Control analysis of biochemical pathways. A novel procedure for calculating control coefficients and an additional theorem for branched pathways. J Theor Biol 134: 451–462, 1988

    Google Scholar 

  12. 12.

    Fell DA, Sauro HM: Metabolic control and its analysis. Eur J Biochem 148: 555–561, 1985

    Google Scholar 

  13. 13.

    Sauro HM, Small JR, Fell DA: Metabolic control and its analysis. Extension to the theory and matrix method. Eur J Biochem 165: 215–221, 1987

    Google Scholar 

  14. 14.

    Torres NV, Mateo F, Melendez-Hevia E, Kacser H: Kinetic of metabolic pathways. A system “in vitro” to study the control of flux. Biochem J 234: 169–174, 1986

    Google Scholar 

  15. 15.

    Easterby JS: A generalized theory of the transition time for sequential enzyme reactions. Biochem J 199: 155–161, 1981

    Google Scholar 

  16. 16.

    Easterby JS: The analysis of metabolic channeling in multienzyme complexes and multifunctional proteins. Biochem J 264: 605–607, 1989

    Google Scholar 

  17. 17.

    Sauro HM, Kacser H: Enzyme enzyme interactions and control analysis. 2. The case of nonindependence: heterologous associations. Eur J Biochem 187: 493–500, 1990

    Google Scholar 

  18. 18.

    Kacser H, Sauro HM, Acerenza L: Enzyme enzyme interactions and control analysis. 1. The case of non additivity: monomer oligomer associations. Eur J Biochem 187: 481–491, 1990

    Google Scholar 

  19. 19.

    Riol-Cimas JM, Melendez-Hevia E: Kinetics of metabolic pathways. Transient response of the glycolitic system after phosphofructokinase reaction to ADP input. Int J Biochem 20: 29–33, 1988

    Google Scholar 

  20. 20.

    Hers HG, Hire L: Gluconeogenesis and related aspects of glucolysis. Ann Rev Biochem 52: 617–653, 1983

    Google Scholar 

  21. 21.

    Newsholme EA, Start C: Regulation in Metabolism. Wiley Interscience, London 1973

    Google Scholar 

  22. 22.

    Groen AK, Wanders RJA, Westerhoff HV, Van der Meer R, Tager JM: Control of metabolic fluxes. In: H Sies (ed.Metabolic Compartmentation. Academic Press, New York, 1982, pp 9–37

    Google Scholar 

  23. 23.

    Hers HG, Van Schaftingen E: Fructose 2,6 bisphosphate 2 years after its discovery. Biochem J 206: 1–12, 1982

    Google Scholar 

  24. 24.

    Torres NV: Doctoral Thesis. University of La Laguna. Tenerife, 1986

    Google Scholar 

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Correspondence to Enric I. Canela.

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Cascante, M., Torres, N.V., Franco, R. et al. Control analysis of transition times. Mol Cell Biochem 101, 83–91 (1991). https://doi.org/10.1007/BF00238441

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Key words

  • transition times
  • control analysis