ArticleInternational Mechanical Engineering Congress and Exposition : [proceedings]. International Mechanical Engineering Congress and Exposition2012
Third-Order Muscle Models: The Role of Oscillatory Behavior In Force Control.
Article in International Mechanical Engineering Congress and Exposition : [proceedings]. International Mechanical Engineering Congress and Exposition, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Experimental measure of arm stiffness during single reaching movements with a time-frequency analysis.Journal of neurophysiology · 2013Article
- Critical damping conditions for third order muscle models: implications for force control.Journal of biomechanical engineering · 2013Article
- Therapist recognition of impaired muscle groups in simulated multi-joint hypertonia.IEEE ... International Conference on Rehabilitation Robotics : [proceedings] · 2013Article
- Haptic recognition of dystonia and spasticity in simulated multi-joint hypertonia.IEEE ... International Conference on Rehabilitation Robotics : [proceedings] · 2013Article
- Haptic perception of multi-joint hypertonia during simulated patient-therapist physical tele-interaction.Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference · 2013Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
This paper presents the analysis of a third-order linear differential equation representing a muscle-tendon system, including the identification of critical damping conditions. We analytically verified that this model is required for a faithful representation of muscle-skeletal muscles and provided numerical examples using the biomechanical properties of muscles and tendon reported in the literature. We proved the existence of a theoretical threshold for the ratio between tendon and muscle stiffness above which critical damping can never be achieved, thus resulting in an oscillatory free response of the system, independently of the value of the damping. Oscillation of the limb can be compensated only by active control, which requires creating an internal model of the limb mechanics. We demonstrated that, when admissible, over-damping of the muscle-tendon system occurs for damping values included within a finite interval between two separate critical limits. The same interval is a semi-infinite region in second-order models. Moreover, an increase in damping beyond the second critical point rapidly brings the system to mechanical instability.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.