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Theoretical Series Elastic Element Length in Rana pipiens Sartorius Muscles
Assuming a two component system for the muscle, a series elastic element and a contractile component, the analyses of the isotonic and isometric data points were related to obtain the series elastic stiffness, dP/dl(s), from the relation, See PDF for Equation From the isometric data, dP/dt was obtai...
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Formato: | Texto |
Lenguaje: | English |
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The Rockefeller University Press
1967
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2225721/ https://www.ncbi.nlm.nih.gov/pubmed/6033578 |
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author | Matsumoto, Yorimi |
author_facet | Matsumoto, Yorimi |
author_sort | Matsumoto, Yorimi |
collection | PubMed |
description | Assuming a two component system for the muscle, a series elastic element and a contractile component, the analyses of the isotonic and isometric data points were related to obtain the series elastic stiffness, dP/dl(s), from the relation, See PDF for Equation From the isometric data, dP/dt was obtained and shortening velocity, v, was a result of the isotonic experiments. Substituting (P (0) - P)/T for dP/dt and (P (0) - P)/(P + a) times b for v, dP/dl(s) = (P + a) /bT, where P < P (0), and a, b are constants for any lengths l ≤ l (0) (Matsumoto, 1965). If the isometric tension and the shortening velocity are recorded for a given muscle length, l (0), although the series elastic, l(s), and the contractile component, l(c), are changing, the total muscle length, l (0) remains fixed and therefore the time constant, T. Integrating, See PDF for Equation the stress-strain relation for the series elastic element, See PDF for Equation is obtained; l (sc0) - l(s) + l (c0)where l (co) equals the contractile component length for a muscle exerting a tension of P (0). For a given P/P (0), l(s) is uniquely determined and must be the same whether on the isotonic or isometric length-tension-time curve. In fact, a locus on one surface curve can be associated with the corresponding locus on the other. |
format | Text |
id | pubmed-2225721 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 1967 |
publisher | The Rockefeller University Press |
record_format | MEDLINE/PubMed |
spelling | pubmed-22257212008-04-23 Theoretical Series Elastic Element Length in Rana pipiens Sartorius Muscles Matsumoto, Yorimi J Gen Physiol Article Assuming a two component system for the muscle, a series elastic element and a contractile component, the analyses of the isotonic and isometric data points were related to obtain the series elastic stiffness, dP/dl(s), from the relation, See PDF for Equation From the isometric data, dP/dt was obtained and shortening velocity, v, was a result of the isotonic experiments. Substituting (P (0) - P)/T for dP/dt and (P (0) - P)/(P + a) times b for v, dP/dl(s) = (P + a) /bT, where P < P (0), and a, b are constants for any lengths l ≤ l (0) (Matsumoto, 1965). If the isometric tension and the shortening velocity are recorded for a given muscle length, l (0), although the series elastic, l(s), and the contractile component, l(c), are changing, the total muscle length, l (0) remains fixed and therefore the time constant, T. Integrating, See PDF for Equation the stress-strain relation for the series elastic element, See PDF for Equation is obtained; l (sc0) - l(s) + l (c0)where l (co) equals the contractile component length for a muscle exerting a tension of P (0). For a given P/P (0), l(s) is uniquely determined and must be the same whether on the isotonic or isometric length-tension-time curve. In fact, a locus on one surface curve can be associated with the corresponding locus on the other. The Rockefeller University Press 1967-05-01 /pmc/articles/PMC2225721/ /pubmed/6033578 Text en Copyright © 1967 by The Rockefeller University Press This article is distributed under the terms of an Attribution–Noncommercial–Share Alike–No Mirror Sites license for the first six months after the publication date (see http://www.rupress.org/terms). After six months it is available under a Creative Commons License (Attribution–Noncommercial–Share Alike 4.0 Unported license, as described at http://creativecommons.org/licenses/by-nc-sa/4.0/). |
spellingShingle | Article Matsumoto, Yorimi Theoretical Series Elastic Element Length in Rana pipiens Sartorius Muscles |
title | Theoretical Series Elastic Element Length in Rana pipiens Sartorius Muscles |
title_full | Theoretical Series Elastic Element Length in Rana pipiens Sartorius Muscles |
title_fullStr | Theoretical Series Elastic Element Length in Rana pipiens Sartorius Muscles |
title_full_unstemmed | Theoretical Series Elastic Element Length in Rana pipiens Sartorius Muscles |
title_short | Theoretical Series Elastic Element Length in Rana pipiens Sartorius Muscles |
title_sort | theoretical series elastic element length in rana pipiens sartorius muscles |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2225721/ https://www.ncbi.nlm.nih.gov/pubmed/6033578 |
work_keys_str_mv | AT matsumotoyorimi theoreticalserieselasticelementlengthinranapipienssartoriusmuscles |