An intrinsic mechanism for the oscillatory contraction of muscle
type: Item
instance of: scholarly article
title: An intrinsic mechanism for the oscillatory contraction of muscle
zbMATH Open document ID: 0583.92008
DOI: 10.1007/BF00336992
author: B. George
published in: Biological Cybernetics
publication date: 1986-01-01T00:00:00Z
review text: A new model based on the theory of dynamical systems is proposed for the intrinsic random or pseudo-random mechanism underlying certain types of muscular tremor. The active length-tension curve of the individual sarcomere, in conjunction with the passive length-tension relation is a map from length to tension with an observed time delay between length change and resulting tension change. The passive length tension relation is assumed to instantaneously relate this tension change back to a change in length. The stability properties of this iterated interval map are investigated by means of computer simulation and computation of the Lyapunov exponent and the bifurcation tree. The resulting analysis is related to experimental tremor data in the literature in terms of period doubling, bifurcation points, and ''chaotic'' behavior. The model appears to have its most fruitful application in understanding the insect type and isometric mammalian types of tremor.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 92F05
zbMATH DE Number: 3934823
zbMATH Keywords: oscillatory contraction of muscle
zbMATH Keywords: dynamical systems
zbMATH Keywords: muscular tremor
zbMATH Keywords: active length-tension
zbMATH Keywords: passive length-tension
zbMATH Keywords: stability properties
zbMATH Keywords: computer simulation
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: bifurcation tree
zbMATH Keywords: period doubling
zbMATH Keywords: bifurcation points
Wikidata QID: Q51658501
MaRDI profile type: Publication
cites work: A myocybernetic control model of skeletal muscle
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full work available at URL: https://doi.org/10.1007/bf00336992
OpenAlex ID: W2039224165
description: scientific article; zbMATH DE number 3934823