Advertisement

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

  • Terrell L. Hill

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.

Keywords

Random Walk State Probability Thermodynamic Force Directional Diagram Diagram Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    King, E. L. and Altman, C. (1956) J. Phys. Chem. 60, 1375.CrossRefGoogle Scholar
  2. 2.
    Hill, T. L. (1966) J. Theoret. Biol. 10, 442.CrossRefGoogle Scholar
  3. 3.
    Hill, T. L. (1977) Free Energy Transduction in Biology ( Academic, New York).Google Scholar
  4. 4.
    Caplan, S. R. and Zeilberger, D. (1982) Adv. Applied Math. 3, 377.MathSciNetMATHCrossRefGoogle Scholar
  5. 5.
    Hill, T. L. and Chen, Y. (1975) Proc. Natl. Acad. Sci. USA 72, 1291.Google Scholar
  6. 6.
    Kohler, H.-H. and Vollmerhaus, E. (1980) J. Math. Biol. 9, 275.MathSciNetMATHCrossRefGoogle Scholar
  7. 7.
    Qian, C., Qian, M. and Qian, M. (1981) Scientia Sinica 24, 1431.MathSciNetMATHGoogle Scholar
  8. 8.
    Qian, M., Qian, M. and Qian, C. (1984) Scientia Sinica 27, 470.MATHGoogle Scholar
  9. 9.
    Hill, T. L. (1988) Proc. Natl. Acad. Sci. USA 85, 2879.ADSMATHCrossRefGoogle Scholar
  10. 10.
    Hill, T. L. (1988) Proc. Natl. Acad. Sci. USA 85, 3271.ADSMATHCrossRefGoogle Scholar
  11. 11.
    Chen, Y., to be published.Google Scholar
  12. 12.
    Hill, T. L. (1988) Proc. Natl. Acad. Sci. USA 85, 5345.ADSMATHCrossRefGoogle Scholar
  13. 13.
    Hill, T. L. (1988) Proc. Natl. Acad. Sci. USA 85, 4577.ADSMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • Terrell L. Hill
    • 1
  1. 1.University of CaliforniaSanta CruzUSA

Personalised recommendations