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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1974 May;71(5):1982–1986. doi: 10.1073/pnas.71.5.1982

Analysis of a Simple Prototypal Muscle Model Near to and Far from Equilibrium

Yi-Der Chen 1, Terrell L Hill 1
PMCID: PMC388368  PMID: 4525310

Abstract

Accurate calculations of force generated and of ATP flux, in steady isotonic contractions, are made on a simple, two-state muscle model of the sliding filament type. The objective is to illustrate the proper formulation and use of a complete and self-consistent molecular model of muscle. Otherwise, the model is not meant to be realistic. Calculations were made near equilibrium, including linear and quadratic terms in a power series expansion, and arbitrarily far from equilibrium by direct numerical solution of the appropriate differential equation in the probability of cross-bridge attachment. The results obtained from the two different methods agree where they overlap near equilibrium. The efficiency of free energy conversion is emphasized, and the relation to linear irreversible thermodynamics is pointed out.

Keywords: sliding filament model, isotonic contractions, efficiency, irreversible thermodynamics

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1982

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Hill T. L. On the sliding-filament model of muscular contraction, II. Proc Natl Acad Sci U S A. 1968 Sep;61(1):98–105. doi: 10.1073/pnas.61.1.98. [DOI] [PMC free article] [PubMed] [Google Scholar]
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