Abstract
We consider the steady-state properties of a lattice of three-state, cycling enzyme molecules, with nearest-neighbor interactions treated by the Bragg-Williams (mean field) approximation. Only a few particular cases are examined, but these illustrate the rich phase-transition possibilities of this class of systems. “Bifurcation” cases were treated in a previous paper; the present examples are of the nonbifurcation type. However, a few new theoretical properties of bifurcation cases are included.
Keywords: multiple phase transitions, bifurcation, flux, enzyme kinetics, one-way cycle
Full text
PDF
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Heins M., Hendricks J., Martindale L., Smock S., Stein M., Jacobs J. Attitudes of women and men physicians. Am J Public Health. 1979 Nov;69(11):1132–1139. doi: 10.2105/ajph.69.11.1132. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Hill T. L., Chen Y. D. Interacting enzyme systems at steady state: location of the phase transition in approximations of the mean field type. Proc Natl Acad Sci U S A. 1978 Jul;75(7):3015–3018. doi: 10.1073/pnas.75.7.3015. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Hill T. L. Effect of enzyme-enzyme interactions on steady-state enzyme kinetics. IV. "Strictly steady-state" examples. J Theor Biol. 1978 Dec 21;75(4):391–416. doi: 10.1016/0022-5193(78)90352-1. [DOI] [PubMed] [Google Scholar]
- Hill T. L. Further study of the effect of enzyme-enzyme interactions on steady-state enzyme kinetics. Proc Natl Acad Sci U S A. 1977 Oct;74(10):4111–4115. doi: 10.1073/pnas.74.10.4111. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Hill T. L., Stein L. Approximate steady-state properties of lattices of interacting three-state enzyme molecules: a novel phase transition. Proc Natl Acad Sci U S A. 1979 Mar;76(3):1014–1017. doi: 10.1073/pnas.76.3.1014. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Hill T. L. Studies in irreversible thermodynamics, v. Statistical thermodynamics of a simple steady-state membrane model. Proc Natl Acad Sci U S A. 1966 Jun;55(6):1379–1385. doi: 10.1073/pnas.55.6.1379. [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]