Spreading out muscle mass within a Hill-type model: a computer simulation study
type: Item
instance of: scholarly article
title: Spreading out muscle mass within a Hill-type model: a computer simulation study
zbMATH Open document ID: 1256.92011
DOI: 10.1155/2012/848630
author: Michael Günther
author: Oliver Röhrle
author: Daniel F. B. Haeufle
author: Syn Schmitt
published in: Computational \& Mathematical Methods in Medicine
publication date: 2013-01-09T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92C30
Mathematics Subject Classification ID: 92C10
Mathematics Subject Classification ID: 68U20
zbMATH DE Number: 6123571
Wikidata QID: Q42010273
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/848630
OpenAlex ID: W2122123489
cites work: Nonlinearities make a difference: comparison of two common Hill-type models with real muscle
cites work: Characterization of isovelocity extension of activated muscle: a Hill-type model for eccentric contractions and a method for parameter determination
cites work: From twitch to tetanus: Performance of excitation dynamics optimized for a twitch in predicting tetanic muscle forces
cites work: High-frequency oscillations as a consequence of neglected serial damping in Hill-type muscle models
cites work: Synthesis of two-dimensional human walking: a test of the \(\lambda\)-model
cites work: Q4117285
cites work: Bridging Scales: A Three-Dimensional Electromechanical Finite Element Model of Skeletal Muscle
cites work: Human leg impact: energy dissipation of wobbling masses
DBLP publication ID: journals/cmmm/GuntherRHS12
description: scientific article; zbMATH DE number 6123571