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. 2016 Jun;93(6):062407.
doi: 10.1103/PhysRevE.93.062407. Epub 2016 Jun 6.

Statistical mechanics of the Huxley-Simmons model

M Caruel  1 , L Truskinovsky  2
Affiliations

Statistical mechanics of the Huxley-Simmons model

M Caruel et al. Phys Rev E. 2016 Jun.

Abstract

The chemomechanical model of Huxley and Simmons (HS) [A. F. Huxley and R. M. Simmons, Nature 233, 533 (1971)NATUAS0028-083610.1038/233533a0] provides a paradigmatic description of mechanically induced collective conformational changes relevant in a variety of biological contexts, from muscles power stroke and hair cell gating to integrin binding and hairpin unzipping. We develop a statistical mechanical perspective on the HS model by exploiting a formal analogy with a paramagnetic Ising model. We first study the equilibrium HS model with a finite number of elements and compute explicitly its mechanical and thermal properties. To model kinetics, we derive a master equation and solve it for several loading protocols. The developed formalism is applicable to a broad range of allosteric systems with mean-field interactions.

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