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.
Full text
PDFSelected References
These references are in PubMed. This may not be the complete list of references from this article.
- 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]
- 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]
- 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]
- 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]
- 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]
- 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]
- 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]