Pau Zamora-Ortiz, Rafael J Escarabajal, José L Pulloquinga, Ángel Valera, Marina Valles
{"title":"Estimation of the equivalent external force using a musculoskeletal model with muscle coactivation.","authors":"Pau Zamora-Ortiz, Rafael J Escarabajal, José L Pulloquinga, Ángel Valera, Marina Valles","doi":"10.1007/s11517-025-03376-0","DOIUrl":null,"url":null,"abstract":"<p><p>The present work introduces a novel method to determine the force vector that a subject must exert at the end of a limb in order to achieve the desired muscle force, taking into account muscle coactivation. The obtained force vector is referred to as the equivalent external force, as it represents the exerted force at the end-effector needed to provoke a desired muscle force. By using a musculoskeletal model of the lower limb and applying the Karush-Kuhn-Tucker conditions, a precise solution has been achieved to calculate the equivalent external force at the foot for the desired muscle force. The method has been tested with a four-degree-of-freedom robot, generating optimal activation trajectories for the vasti and confirming that the desired force level is achieved. The results validate the effectiveness of the proposed method and highlight its potential applications in both medical rehabilitation and sports training. This significant advancement in the field of biomechanics would provide a valuable tool for health and sports professionals, improving training and rehabilitation strategies.</p>","PeriodicalId":49840,"journal":{"name":"Medical & Biological Engineering & Computing","volume":" ","pages":"3053-3065"},"PeriodicalIF":2.6000,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Medical & Biological Engineering & Computing","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s11517-025-03376-0","RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/5/24 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
The present work introduces a novel method to determine the force vector that a subject must exert at the end of a limb in order to achieve the desired muscle force, taking into account muscle coactivation. The obtained force vector is referred to as the equivalent external force, as it represents the exerted force at the end-effector needed to provoke a desired muscle force. By using a musculoskeletal model of the lower limb and applying the Karush-Kuhn-Tucker conditions, a precise solution has been achieved to calculate the equivalent external force at the foot for the desired muscle force. The method has been tested with a four-degree-of-freedom robot, generating optimal activation trajectories for the vasti and confirming that the desired force level is achieved. The results validate the effectiveness of the proposed method and highlight its potential applications in both medical rehabilitation and sports training. This significant advancement in the field of biomechanics would provide a valuable tool for health and sports professionals, improving training and rehabilitation strategies.
期刊介绍:
Founded in 1963, Medical & Biological Engineering & Computing (MBEC) continues to serve the biomedical engineering community, covering the entire spectrum of biomedical and clinical engineering. The journal presents exciting and vital experimental and theoretical developments in biomedical science and technology, and reports on advances in computer-based methodologies in these multidisciplinary subjects. The journal also incorporates new and evolving technologies including cellular engineering and molecular imaging.
MBEC publishes original research articles as well as reviews and technical notes. Its Rapid Communications category focuses on material of immediate value to the readership, while the Controversies section provides a forum to exchange views on selected issues, stimulating a vigorous and informed debate in this exciting and high profile field.
MBEC is an official journal of the International Federation of Medical and Biological Engineering (IFMBE).