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Approximate steady-state properties of lattices of interacting three-state enzyme molecules: a novel phase transition.
Author(s) -
Terrell L. Hill,
Laura Guzmán Stein
Publication year - 1979
Publication title -
proceedings of the national academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.76.3.1014
Subject(s) - phase transition , statistical physics , physics , state (computer science) , van der waals force , work (physics) , phase (matter) , molecule , quantum mechanics , mathematics , algorithm
Previous work on the cooperative behavior of lattices of interacting two-state enzyme molecules at steady state is extended here to interacting three-state enzyme molecules with a one-way cycle. The Bragg-Williams (mean field) approximation is used. A phase-transition example with a bifurcation point is discussed. Compared to conventional phase transitions (with a van der Waals loop), several new and complicated features appear. A second paper on this subject will contain a number of other examples of three-state systems.

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