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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 Jun;71(6):2478–2481. doi: 10.1073/pnas.71.6.2478

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

Terrell L Hill 1,2, Yi-der Chen 1,2
PMCID: PMC388482  PMID: 4526221

Abstract

The same prototypal model used in a previous paper to illustrate proper construction of a muscle model is modified here with the much more realistic choice eΔp = 108 rather than eΔp = 100, where eΔp is the ratio of physiological ATP activity to equilibrium ATP activity. For steady isotonic contractions, the range 1 ≤ eΔ ≤ 104 can be approximated quite well by use of linear terms only in expansions of (force) and (ATP flux) in powers of eΔ - 1 and v (velocity). This will presumably also be true in most cases of much more complicated models. However, this region is of theoretical interest only (irreversible thermodynamics, etc.) because and are very small. In addition, numerical calculations of and were made in the region 104eΔ ≤ 108. The optimal efficiency η* is larger under physiological conditions (about 1%) than at equilibrium by a factor of 2.1 × 104. The rate of entropy production is discussed in this connection.

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

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Selected References

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

  1. Chen Y. D., Hill T. L. Analysis of a simple prototypal muscle model near to and far from equilibrium. Proc Natl Acad Sci U S A. 1974 May;71(5):1982–1986. doi: 10.1073/pnas.71.5.1982. [DOI] [PMC free article] [PubMed] [Google Scholar]

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