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State Probabilities and Fluxes in Terms of the Rate Constants of the Diagram

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Free Energy Transduction and Biochemical Cycle Kinetics

Abstract

The basic principles of free energy transduction were introduced in Chapter 1. Steady-state probabilities and especially forces and fluxes played a prominent role in the discussion. One important topic was bypassed, however, which is covered in the present chapter: How are the state probabilities and the fluxes related to the firstorder rate constants of α ij of the kinetic diagram? This subject does not add much to the general concept of free energy transduction per se, but it is essential to an understanding of the steady-state kinetic activity of the cyclic system that carries out the free energy transduction. Section 6 deals with state probabilities (and fluxes in very simple systems) and Section 7 is concerned with fluxes and related kinetic topics. Section 8 is essentially an appendix on recent and more advanced topics related to cycles and diagrams.

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References

  1. King, E. L. and Altman, C. (1956) J. Phys. Chem. 60, 1375.

    Article  Google Scholar 

  2. Hill, T. L. (1966) J. Theoret. Biol. 10, 442.

    Article  Google Scholar 

  3. Hill, T. L. (1977) Free Energy Transduction in Biology ( Academic, New York).

    Google Scholar 

  4. Caplan, S. R. and Zeilberger, D. (1982) Adv. Applied Math. 3, 377.

    Article  MathSciNet  MATH  Google Scholar 

  5. Hill, T. L. and Chen, Y. (1975) Proc. Natl. Acad. Sci. USA 72, 1291.

    Google Scholar 

  6. Kohler, H.-H. and Vollmerhaus, E. (1980) J. Math. Biol. 9, 275.

    Article  MathSciNet  MATH  Google Scholar 

  7. Qian, C., Qian, M. and Qian, M. (1981) Scientia Sinica 24, 1431.

    MathSciNet  MATH  Google Scholar 

  8. Qian, M., Qian, M. and Qian, C. (1984) Scientia Sinica 27, 470.

    MATH  Google Scholar 

  9. Hill, T. L. (1988) Proc. Natl. Acad. Sci. USA 85, 2879.

    Article  ADS  MATH  Google Scholar 

  10. Hill, T. L. (1988) Proc. Natl. Acad. Sci. USA 85, 3271.

    Article  ADS  MATH  Google Scholar 

  11. Chen, Y., to be published.

    Google Scholar 

  12. Hill, T. L. (1988) Proc. Natl. Acad. Sci. USA 85, 5345.

    Article  ADS  MATH  Google Scholar 

  13. Hill, T. L. (1988) Proc. Natl. Acad. Sci. USA 85, 4577.

    Article  ADS  MATH  Google Scholar 

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© 1989 Springer-Verlag New York Inc.

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Hill, T.L. (1989). State Probabilities and Fluxes in Terms of the Rate Constants of the Diagram. In: Free Energy Transduction and Biochemical Cycle Kinetics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3558-3_2

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  • DOI: https://doi.org/10.1007/978-1-4612-3558-3_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-96836-0

  • Online ISBN: 978-1-4612-3558-3

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