A mathematical model of heterogeneous behavior of single muscle fibres
type: Item
instance of: scholarly article
title: A mathematical model of heterogeneous behavior of single muscle fibres
zbMATH Open document ID: 0595.92004
DOI: 10.1007/BF00275723
author: Pierluigi Colli
published in: Journal of Mathematical Biology
publication date: 1986-01-01T00:00:00Z
review text: In striated muscles, as in myocardium and skeletal muscles, a combination of passive elastic elements and active force-generating contractile elements explains many of the mechanical phenomena exhibited by these muscles. The aim of the paper is to study mathematically a model simulating the contraction of heterogeneous muscel fibres. It is assumed that the muscle segments act in series. The author reduces the problem to integro- differential equations by integration of first order hyperbolic equations along characteristics. Furthermore existence, uniqueness and continuous dependence of the solution are proven.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 74L15
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 3959181
zbMATH Keywords: cross bridge kinetics
zbMATH Keywords: fixed point theory
zbMATH Keywords: striated muscles
zbMATH Keywords: myocardium
zbMATH Keywords: skeletal muscles
zbMATH Keywords: contraction of heterogeneous muscel fibres
zbMATH Keywords: integration of first order hyperbolic equations along
zbMATH Keywords: characteristics
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: continuous dependence of the solution
zbMATH Keywords: integration of first order hyperbolic equations along characteristics
Wikidata QID: Q52652485
reviewed by: H. J. Rath
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3959181