ArticleComputational and mathematical methods in medicine2012
Spreading out muscle mass within a Hill-type model: a computer simulation study.
Article in Computational and mathematical methods in medicine, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- Effects of muscle mass on muscle force predictions in human movement.bioRxiv : the preprint server for biology · 2026Article
- Mechanical strain-wave propagation through human muscle measured using B-mode ultrasound.European journal of applied physiology · 2026Article
- [Musculoskeletal biomechanical analysis of the three-dimensional gastrocnemius and soleus muscles].Sheng wu yi xue gong cheng xue za zhi = Journal of biomedical engineering = Shengwu yixue gongchengxue zazhi · 2026Article
- The influence of muscle mass on the coordination required for efficient movement.Frontiers in physiology · 2026Article
- Muscle-Driven Predictive Physics Simulations of Quadrupedal Locomotion in the Horse.Integrative and comparative biology · 2024Article
- A theory of physiological similarity in muscle-driven motion.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- Numerical instability of Hill-type muscle models.Journal of the Royal Society, Interface · 2023Review
- The energy of muscle contraction. IV. Greater mass of larger muscles decreases contraction efficiency.Journal of the Royal Society, Interface · 2021Article
- The Energy of Muscle Contraction. III. Kinetic Energy During Cyclic Contractions.Frontiers in physiology · 2021Article
- Antimicrobial Resistance and Virulence Factor ofInfection and drug resistance · 2021Article
- Added mass in rat plantaris muscle causes a reduction in mechanical work.The Journal of experimental biology · 2020Article
- The Energy of Muscle Contraction. I. Tissue Force and Deformation During Fixed-End Contractions.Frontiers in physiology · 2020Article
- Characterization of Electromechanical Delay Based on a Biophysical Multi-Scale Skeletal Muscle Model.Frontiers in physiology · 2019Article
- Size, History-Dependent, Activation and Three-Dimensional Effects on the Work and Power Produced During Cyclic Muscle Contractions.Integrative and comparative biology · 2018Article
- Implementation and validation of the extended Hill-type muscle model with robust routing capabilities in LS-DYNA for active human body models.Biomedical engineering online · 2017Article
- Article
- Traditional graft preparation decreases physiologic responses, diminishes viscoelasticity, and reduces cellular viability of the conduit: A porcine saphenous vein model.Vascular medicine (London, England) · 2016Article
- Muscle shortening velocity depends on tissue inertia and level of activation during submaximal contractions.Biology letters · 2016Article
- A multiscale chemo-electro-mechanical skeletal muscle model to analyze muscle contraction and force generation for different muscle fiber arrangements.Frontiers in physiology · 2014Article
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Authors and funding
4 authors.
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No grant is acknowledged in the PubMed record.
Abstract
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.
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