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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1977 Oct;74(10):4111–4115. doi: 10.1073/pnas.74.10.4111

Further study of the effect of enzyme-enzyme interactions on steady-state enzyme kinetics.

T L Hill
PMCID: PMC431885  PMID: 270657

Abstract

This paper continues an earlier one [Hill, T.L. (1977) Proc. Natl . Acad. Sci. USA 74, 3632-3632] and presents further introductory examples. Most attention is devoted to a closed linear chain of two-state enzyme molecules with nearest-neighbor interactions. The one-dimensional Ising theory can be used here. The Bragg-Williams (mean field) approximation is introduced to deal with a one-, two-, or three-dimensional lattice of enzyme molecules, at steady state, with an arbitrary kinetic diagram. The behavior of the flux in a phase transition is noted. Finally, a treatment is given for the first effect (second "viral" coefficient) of interactions on the flux in a dilute solution of two-state enzyme molecules.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Blumenthal R., Changeux J. P., Lefever R. Une théorie de l'excitation électrique des membranes biologiques. C R Acad Sci Hebd Seances Acad Sci D. 1970 Jan 12;270(2):389–392. [PubMed] [Google Scholar]
  2. Changeux J. P., Thiéry J., Tung Y., Kittel C. On the cooperativity of biological membranes. Proc Natl Acad Sci U S A. 1967 Feb;57(2):335–341. doi: 10.1073/pnas.57.2.335. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Hill T. L., Chen Y. D. Cooperative effects in models of steady-state transport across membranes. IV. One-site, two-site, and multisite models. Biophys J. 1971 Sep;11(9):685–710. doi: 10.1016/S0006-3495(71)86248-3. [DOI] [PMC free article] [PubMed] [Google Scholar]
  4. Hill T. L., Chen Y. Cooperative effects in models of steady-state transport across membranes. 3. Simulation of potassium ion transport in nerve. Proc Natl Acad Sci U S A. 1970 Jul;66(3):607–614. doi: 10.1073/pnas.66.3.607. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Hill T. L., Chen Y. Cooperative effects in models of steady-state transport across membranes. I. Proc Natl Acad Sci U S A. 1970 Apr;65(4):1069–1076. doi: 10.1073/pnas.65.4.1069. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. Hill T. L. Electric fields and the cooperativity of biological membranes. Proc Natl Acad Sci U S A. 1967 Jul;58(1):111–114. doi: 10.1073/pnas.58.1.111. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. Hill T. L. Theoretical study of the effect of enzyme-enzyme interactions on steady-state enzyme kinetics. Proc Natl Acad Sci U S A. 1977 Sep;74(9):3632–3636. doi: 10.1073/pnas.74.9.3632. [DOI] [PMC free article] [PubMed] [Google Scholar]

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