A simple self-consistent distribution-moment model for muscle: Chemical energy and heat rates
type: Item
instance of: scholarly article
title: A simple self-consistent distribution-moment model for muscle: Chemical energy and heat rates
zbMATH Open document ID: 0618.92003
DOI: 10.1016/0025-5564(87)90093-9
author: Shi-Ping Ma
author: George Ireneus Zahalak
published in: Mathematical Biosciences
publication date: 1987-01-01T00:00:00Z
review text: A distribution-moment model of skeletal muscle is derived from a two- state ''self-consistent'' kinetic-molecular model of the type proposed by \textit{T. L. Hill} [see e.g. Free energy transduction in biology. pp. 103- 129, New York (1977)]. The rate equations of the model contain only elementary functions, and it is shown that under dynamic conditions solutions of these equations yield good approximations to the first three moments of the exact bond-distribution function (these three moments represent the instantaneous muscle stiffness, force, and elastic energy stored in the cross-bridges). A novel feature of this is that with appropriate choices of parameters it predicts a small experimentally observed decrease of the heat-liberation rate below the isometric level (''maintenance heat'') in slow muscle stretches.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 80A99
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 74L15
zbMATH DE Number: 4003958
zbMATH Keywords: chemical energy
zbMATH Keywords: heat rates
zbMATH Keywords: distribution-moment approximation
zbMATH Keywords: distribution-moment model of skeletal muscle
zbMATH Keywords: two-state ''self-consistent'' kinetic-molecular model
zbMATH Keywords: bond-distribution function
zbMATH Keywords: instantaneous muscle stiffness
zbMATH Keywords: force
zbMATH Keywords: elastic energy
zbMATH Keywords: cross-bridges
zbMATH Keywords: maintenance heat
MaRDI profile type: Publication
full work available at URL: 0025-5564(87)90093-9
OpenAlex ID: W2077395161
cites work: A distribution-moment approximation for kinetic theories of muscular contraction
description: scientific article; zbMATH DE number 4003958