ReviewJournal of the Royal Society, Interface2023
Numerical instability of Hill-type muscle models.
Review in Journal of the Royal Society, Interface, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Starting length and temperature dependence of eccentric muscle force-velocity behaviour.The Journal of experimental biology · 2026Article
- Fascicle lengthening during a large torque reduction subsequently decreases dorsiflexion torque steadiness.Scientific reports · 2026Article
- Exploring Variable Achilles Tendon Loading Via Active Acoustics.IEEE sensors journal · 2026Article
- Central motor commands to human elbow joint muscles during simultaneous changes in their force and length: a preliminary study.Frontiers in physiology · 2026Article
- EMG hysteresis patterns in human elbow muscles under simultaneous force and length changes.Scientific reports · 2025Article
- Pressure Between Residual Limb and Transtibial Prosthesis Socket Considering Muscle Contraction: A Finite Element Study.Annals of biomedical engineering · 2025Article
- In defense of Huxley.Biophysical journal · 2024Article
- NeuroMotion: Open-source platform with neuromechanical and deep network modules to generate surface EMG signals during voluntary movement.PLoS computational biology · 2024Article
- Knee Angle Estimation from Surface EMG during Walking Using Attention-Based Deep Recurrent Neural Networks: Feasibility and Initial Demonstration in Cerebral Palsy.Sensors (Basel, Switzerland) · 2024Article
- Novel neuromuscular controllers with simplified muscle model and enhanced reflex modulation: A comparative study in hip exoskeletons.Wearable technologies · 2024Article
- Using muscle-tendon load limits to assess unphysiological musculoskeletal model deformation and Hill-type muscle parameter choice.PloS one · 2024Article
- Development and verification of a physiologically motivated internal controller for the open-source extended Hill-type muscle model in LS-DYNA.Biomechanics and modeling in mechanobiology · 2023Article
- Neuromechanics-Based Neural Feedback Controller for Planar Arm Reaching Movements.Bioengineering (Basel, Switzerland) · 2023Article
- An investigation of tendon strains in jersey finger injury load cases using a finite element neuromuscular human body model.Frontiers in bioengineering and biotechnology · 2023Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
Hill-type muscle models are highly preferred as phenomenological models for musculoskeletal simulation studies despite their introduction almost a century ago. The use of simple Hill-type models in simulations, instead of more recent cross-bridge models, is well justified since computationally 'light-weight'-although less accurate-Hill-type models have great value for large-scale simulations. However, this article aims to invite discussion on numerical instability issues of Hill-type muscle models in simulation studies, which can lead to computational failures and, therefore, cannot be simply dismissed as an inevitable but acceptable consequence of simplification. We will first revisit the basic premises and assumptions on the force-length and force-velocity relationships that Hill-type models are based upon, and their often overlooked but major theoretical limitations. We will then use several simple conceptual simulation studies to discuss how these numerical instability issues can manifest as practical computational problems. Lastly, we will review how such numerical instability issues are dealt with, mostly in an ad hoc fashion, in two main areas of application: musculoskeletal biomechanics and computer animation.
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Registered trials
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