Modelling force-length-activation relationships of wrist and finger extensor muscles

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ORIGINAL ARTICLE

Modelling force-length-activation relationships of wrist and finger extensor muscles Benjamin Goislard de Monsabert 1 Laurent Vigouroux 1

&

Hugo Hauraix 1 & Mathieu Caumes 1 & Alexis Herbaut 2 & Eric Berton 1 &

Received: 20 January 2020 / Accepted: 26 July 2020 # International Federation for Medical and Biological Engineering 2020

Abstract The wrist and finger extensors play a crucial role in the muscle coordination during grasping tasks. Nevertheless, few data are available regarding their force-generating capacities. The objective of this study was to provide a model of the force-lengthactivation relationships of the hand extensors using non-invasive methods. The extensor carpi radialis (ECR) and the extensor digitorum communis (EDC) were studied as representative of wrist and finger extensors. Ten participants performed isometric extension force-varying contractions in different postures on an ergometer recording resultant moment. The joint angle, the myotendinous junction displacement and activation were synchronously tracked using motion capture, ultrasound and electromyography. Muscle force was estimated via a musculoskeletal model using the measured joint angle and moment. The forcelength-activation relationship was then obtained by fitting a force-length model at different activation levels to the measured data. The obtained relationships agreed with previously reported data regarding muscle architecture, sarcomere length and activationdependent shift of optimal length. Muscle forces estimated from kinematics and electromyography using the force-lengthactivation relationships were comparable, below 15% differences, to those estimated from moment via the musculoskeletal model. The obtained quantitative data provides a new insight into the different muscle mechanics of finger and wrist extensors. Keywords Hand . Muscle contraction . Ultrasonography . Electromyography . Biological models

Glossary of terms AVE: “Average” EMG-driven model ECR: Extensor carpi radialis ECRB: Extensor carpi radialis brevis ECRL: Extensor carpi radialis longus EDC: Extensor digitorum communis EDCI: Index finger compartment of extensor digitorum communis EMG: Electromyography IND: “Individual” EMG-driven model Electronic supplementary material The online version of this article (https://doi.org/10.1007/s11517-020-02239-0) contains supplementary material, which is available to authorized users. * Benjamin Goislard de Monsabert [email protected] 1

Aix-Marseille Univ, CNRS, ISM, Marseille, France

2

Department of Movement Sciences, Decathlon SportsLab, Villeneuve d’Ascq, France

MCP: Metacarpophalangeal MSK: Musculoskeletal NoFL: “No force-length” EMG-driven model PCSA: Physiological cross-sectional area RMSE: Root mean square error am: Muscle activation level αi: Constants describing the force-activation relationships β: Skewness parameter of the force-length relationship of Otten γi: Constants describing the length-force relationships in a ramp trial εm: Muscle belly strain Fm: Muscle