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Spreading out Muscle Mass within a Hill-Type Model : A Computer Simulation Study
Joint Authors
Günther, Michael
Schmitt, Syn
Röhrle, Oliver
Haeufle, Daniel F. B.
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
It is state of the art that muscle contraction dynamics is adequately described by a hyperbolic relation between muscle force and contraction velocity (Hill relation), thereby neglecting muscle internal mass inertia (first-order dynamics).
Accordingly, the vast majority of modelling approaches also neglect muscle internal inertia.
Assuming that such first-order contraction dynamics yet interacts with muscle internal mass distribution, this study investigates two questions: (i) what is the time scale on which the muscle responds to a force step? (ii) How does this response scale with muscle design parameters? Thereto, we simulated accelerated contractions of alternating sequences of Hill-type contractile elements and point masses.
We found that in a typical small muscle the force levels off after about 0.2 ms, contraction velocity after about 0.5 ms.
In an upscaled version representing bigger mammals' muscles, the force levels off after about 20 ms, and the theoretically expected maximum contraction velocity is not reached.
We conclude (i) that it may be indispensable to introduce second-order contributions into muscle models to understand high-frequency muscle responses, particularly in bigger muscles.
Additionally, (ii) constructing more elaborate measuring devices seems to be worthwhile to distinguish viscoelastic and inertia properties in rapid contractile responses of muscles.
American Psychological Association (APA)
Günther, Michael& Röhrle, Oliver& Haeufle, Daniel F. B.& Schmitt, Syn. 2012. Spreading out Muscle Mass within a Hill-Type Model : A Computer Simulation Study. Computational and Mathematical Methods in Medicine،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-503061
Modern Language Association (MLA)
Günther, Michael…[et al.]. Spreading out Muscle Mass within a Hill-Type Model : A Computer Simulation Study. Computational and Mathematical Methods in Medicine No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-503061
American Medical Association (AMA)
Günther, Michael& Röhrle, Oliver& Haeufle, Daniel F. B.& Schmitt, Syn. Spreading out Muscle Mass within a Hill-Type Model : A Computer Simulation Study. Computational and Mathematical Methods in Medicine. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-503061
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503061