ArticleAnnals of biomedical engineering2026
Muscle Tendon Passive Parameter Estimation Using Musculoskeletal Optimal Control.
Article in Annals of biomedical engineering, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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3 authors.
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Abstract
purposeThe measurement of passive muscle-tendon parameters (PMPs) is crucial for understanding and analyzing human movement. However, the common methods for measuring PMPs are inconsistent or involve invasive procedures.
methodsWe propose a novel noninvasive method for estimating PMPs using a direct collocated optimal control algorithm. The optimal control algorithm was employed to determine PMPs of a fully in silico musculoskeletal simulation, of a mechanical analogue, and of human subjects in vivo. To eliminate the confounding effects of force-velocity and active muscle contraction, a quasi-static knee flexion and ankle plantar flexion protocol was used for these evaluations.
resultsThe simulation-based assessment resulted in predictions of muscle stiffness and tendon slack length with less than 3.5% error and tendon stiffness with less than 6% error. Secondly, using an analogue mechanical model of the human leg, we found maximum estimation errors in spring stiffness to be 9%. Lastly, in the in vivo validation method, we compared forward dynamic simulations of models with the predicted PMPs against experimental data. The average root mean square error (RMSE) for motion was found to be less than 0.56
conclusionsThese results demonstrate the effectiveness and precision of our noninvasive method for estimating PMPs in knee flexors/extensors. This approach has the potential to provide valuable insights into the biomechanics of human movement and contribute to advancements in rehabilitation strategies, sports performance optimization, and injury prevention.
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