title: Further study of the effect of enzyme-enzyme interactions on steady-state enzyme kinetics.
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.
mesh_terms: D004798:Enzymes / Q000378:metabolism*; D007700:Kinetics; D008433:Mathematics; D008954:Models, Biological
chemical_list: D004798:Enzymes
references.citation: Proc Natl Acad Sci U S A. 1977 Sep;74(9):3632-6
references.pmid: 269419
references.citation: C R Acad Sci Hebd Seances Acad Sci D. 1970 Jan 12;270(2):389-92
references.pmid: 4985216
references.citation: Biophys J. 1971 Sep;11(9):685-710
references.pmid: 5132496
references.citation: Proc Natl Acad Sci U S A. 1967 Jul;58(1):111-4
references.pmid: 5231590
references.citation: Proc Natl Acad Sci U S A. 1970 Apr;65(4):1069-76
references.pmid: 5266148
references.citation: Proc Natl Acad Sci U S A. 1970 Jul;66(3):607-14
references.pmid: 5269227
references.citation: Proc Natl Acad Sci U S A. 1967 Feb;57(2):335-41
references.pmid: 16591474