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Considerations on the human Achilles tendon moment arm for in vivo triceps surae muscle--tendon unit force estimates

, , , , and . Scientific Reports, 10 (1): 19559 (Nov 11, 2020)
DOI: 10.1038/s41598-020-76625-x

Abstract

Moment arm-angle functions (MA-a-functions) are commonly used to estimate in vivo muscle forces in humans. However, different MA-a-functions might not only influence the magnitude of the estimated muscle forces but also change the shape of the muscle's estimated force-angle relationship (F-a-r). Therefore, we investigated the influence of different literature based Achilles tendon MA-a-functions on the triceps surae muscle--tendon unit F-a-r. The individual in vivo triceps torque--angle relationship was determined in 14 participants performing maximum voluntary fixed-end plantarflexion contractions from 18.3°þinspace±þinspace3.2° plantarflexion to 24.2°þinspace±þinspace5.1° dorsiflexion on a dynamometer. The resulting F-a-r were calculated using 15 literature-based in vivo Achilles tendon MA-a-functions. MA-a-functions affected the F-a-r shape and magnitude of estimated peak active triceps muscle--tendon unit force. Depending on the MA-a-function used, the triceps was solely operating on the ascending limb (nþinspace=þinspace2), on the ascending limb and plateau region (nþinspace=þinspace12), or on the ascending limb, plateau region and descending limb of the F-a-r (nþinspace=þinspace1). According to our findings, the estimated triceps muscle--tendon unit forces and the shape of the F-a-r are highly dependent on the MA-a-function used. As these functions are affected by many variables, we recommend using individual Achilles tendon MA-a-functions, ideally accounting for contraction intensity-related changes in moment arm magnitude.

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