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Statistical mechanics of the Huxley-Simmons model

By M. Caruel and L. Truskinovsky


International audienceThe chemomechanical model of Huxley and Simmons (HS) [A. F. Huxley and R. M. Simmons, Nature 233, 533 (1971)] 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

Topics: Molecular motors, long-range interactions, Ising model, Huxley-Simmons, Muscle, paramagnetism, [ PHYS.MECA.SOLID ] Physics [physics]/Mechanics [physics]/Mechanics of the solides [physics.class-ph], [ PHYS.MECA.BIOM ] Physics [physics]/Mechanics [physics]/Biomechanics [physics.med-ph], [ PHYS.COND.CM-SM ] Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], [ PHYS.COND.CM-SCM ] Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft], [ PHYS.PHYS.PHYS-BIO-PH ] Physics [physics]/Physics [physics]/Biological Physics [physics.bio-ph]
Publisher: American Physical Society (APS)
Year: 2016
DOI identifier: 10.1103/PhysRevE.93.062407
OAI identifier: oai:HAL:hal-01322113v1
Provided by: Hal-Diderot

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