Elbow Joint Stiffness Functional Scales Based on Hill’s Muscle Model and Genetic Optimization

The ultimate goal of rehabilitation engineering is to provide objective assessment tools for the level of injury and/or the degree of neurorehabilitation recovery based on a combination of different sensing technologies that enable the monitoring of relevant measurable variables, as well as the asse...

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Main Authors: Marija Radmilović, Djordje Urukalo, Milica M. Janković, Suzana Dedijer Dujović, Tijana J. Dimkić Tomić, Maja Trumić, Kosta Jovanović
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/3/1709
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author Marija Radmilović
Djordje Urukalo
Milica M. Janković
Suzana Dedijer Dujović
Tijana J. Dimkić Tomić
Maja Trumić
Kosta Jovanović
author_facet Marija Radmilović
Djordje Urukalo
Milica M. Janković
Suzana Dedijer Dujović
Tijana J. Dimkić Tomić
Maja Trumić
Kosta Jovanović
author_sort Marija Radmilović
collection DOAJ
description The ultimate goal of rehabilitation engineering is to provide objective assessment tools for the level of injury and/or the degree of neurorehabilitation recovery based on a combination of different sensing technologies that enable the monitoring of relevant measurable variables, as well as the assessment of non-measurable variables (such as muscle effort/force and joint mechanical stiffness). This paper aims to present a feasibility study for a general assessment methodology for subject-specific non-measurable elbow model parameter prediction and elbow joint stiffness estimation. Ten participants without sensorimotor disorders performed a modified “Reach and retrieve” task of the Wolf Motor Function Test while electromyography (EMG) data of an antagonistic muscle pair (the triceps brachii long head and biceps brachii long head muscle) and elbow angle were simultaneously acquired. A complete list of the Hill’s muscle model and passive joint structure model parameters was generated using a genetic algorithm (GA) on the acquired training dataset with a maximum deviation of 6.1% of the full elbow angle range values during the modified task 8 of the Wolf Motor Function Test, and it was also verified using two experimental test scenarios (a task tempo variation scenario and a load variation scenario with a maximum deviation of 8.1%). The recursive least square (RLS) algorithm was used to estimate elbow joint stiffness (<i>Stiffness</i>) based on the estimated joint torque and the estimated elbow angle. Finally, novel <i>Stiffness</i> scales (general patterns) for upper limb functional assessment in the two performed test scenarios were proposed. The stiffness scales showed an exponentially increasing trend with increasing movement tempo, as well as with increasing weights. The obtained general <i>Stiffness</i> patterns from the group of participants without sensorimotor disorders could significantly contribute to the further monitoring of motor recovery in patients with sensorimotor disorders.
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spelling doaj.art-4027fe4130504289a1656bddf65f43532023-11-16T18:05:03ZengMDPI AGSensors1424-82202023-02-01233170910.3390/s23031709Elbow Joint Stiffness Functional Scales Based on Hill’s Muscle Model and Genetic OptimizationMarija Radmilović0Djordje Urukalo1Milica M. Janković2Suzana Dedijer Dujović3Tijana J. Dimkić Tomić4Maja Trumić5Kosta Jovanović6Institute Mihailo Pupin, University of Belgrade, Volgina 15, 11060 Belgrade, SerbiaInstitute Mihailo Pupin, University of Belgrade, Volgina 15, 11060 Belgrade, SerbiaSchool of Electrical Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, 11120 Belgrade, SerbiaClinic for Rehabilitation “Dr. Miroslav Zotović”, Faculty of Medicine, University of Belgrade, 11000 Belgrade, SerbiaClinic for Rehabilitation “Dr. Miroslav Zotović”, Faculty of Medicine, University of Belgrade, 11000 Belgrade, SerbiaSchool of Electrical Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, 11120 Belgrade, SerbiaSchool of Electrical Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, 11120 Belgrade, SerbiaThe ultimate goal of rehabilitation engineering is to provide objective assessment tools for the level of injury and/or the degree of neurorehabilitation recovery based on a combination of different sensing technologies that enable the monitoring of relevant measurable variables, as well as the assessment of non-measurable variables (such as muscle effort/force and joint mechanical stiffness). This paper aims to present a feasibility study for a general assessment methodology for subject-specific non-measurable elbow model parameter prediction and elbow joint stiffness estimation. Ten participants without sensorimotor disorders performed a modified “Reach and retrieve” task of the Wolf Motor Function Test while electromyography (EMG) data of an antagonistic muscle pair (the triceps brachii long head and biceps brachii long head muscle) and elbow angle were simultaneously acquired. A complete list of the Hill’s muscle model and passive joint structure model parameters was generated using a genetic algorithm (GA) on the acquired training dataset with a maximum deviation of 6.1% of the full elbow angle range values during the modified task 8 of the Wolf Motor Function Test, and it was also verified using two experimental test scenarios (a task tempo variation scenario and a load variation scenario with a maximum deviation of 8.1%). The recursive least square (RLS) algorithm was used to estimate elbow joint stiffness (<i>Stiffness</i>) based on the estimated joint torque and the estimated elbow angle. Finally, novel <i>Stiffness</i> scales (general patterns) for upper limb functional assessment in the two performed test scenarios were proposed. The stiffness scales showed an exponentially increasing trend with increasing movement tempo, as well as with increasing weights. The obtained general <i>Stiffness</i> patterns from the group of participants without sensorimotor disorders could significantly contribute to the further monitoring of motor recovery in patients with sensorimotor disorders.https://www.mdpi.com/1424-8220/23/3/1709agonist–antagonistelectromyographygenetic algorithmpassive joint structureWolf Motor Function Test
spellingShingle Marija Radmilović
Djordje Urukalo
Milica M. Janković
Suzana Dedijer Dujović
Tijana J. Dimkić Tomić
Maja Trumić
Kosta Jovanović
Elbow Joint Stiffness Functional Scales Based on Hill’s Muscle Model and Genetic Optimization
Sensors
agonist–antagonist
electromyography
genetic algorithm
passive joint structure
Wolf Motor Function Test
title Elbow Joint Stiffness Functional Scales Based on Hill’s Muscle Model and Genetic Optimization
title_full Elbow Joint Stiffness Functional Scales Based on Hill’s Muscle Model and Genetic Optimization
title_fullStr Elbow Joint Stiffness Functional Scales Based on Hill’s Muscle Model and Genetic Optimization
title_full_unstemmed Elbow Joint Stiffness Functional Scales Based on Hill’s Muscle Model and Genetic Optimization
title_short Elbow Joint Stiffness Functional Scales Based on Hill’s Muscle Model and Genetic Optimization
title_sort elbow joint stiffness functional scales based on hill s muscle model and genetic optimization
topic agonist–antagonist
electromyography
genetic algorithm
passive joint structure
Wolf Motor Function Test
url https://www.mdpi.com/1424-8220/23/3/1709
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