A joint-space numerical model of metabolic energy expenditure for human multibody dynamic system

Joo Hyun Kim, Dustyn Roberts

Research output: Contribution to journalArticle

Abstract

Metabolic energy expenditure (MEE) is a critical performance measure of human motion. In this study, a general joint-space numerical model of MEE is derived by integrating the laws of thermodynamics and principles of multibody system dynamics, which can evaluate MEE without the limitations inherent in experimental measurements (phase delays, steady state and task restrictions, and limited range of motion) or muscle-space models (complexities and indeterminacies from excessive DOFs, contacts and wrapping interactions, and reliance on in vitro parameters). Muscle energetic components are mapped to the joint space, in which the MEE model is formulated. A constrained multi-objective optimization algorithm is established to estimate the model parameters from experimental walking data also used for initial validation. The joint-space parameters estimated directly from active subjects provide reliable MEE estimates with a mean absolute error of 3.6±3.6% relative to validation values, which can be used to evaluate MEE for complex non-periodic tasks that may not be experimentally verifiable. This model also enables real-time calculations of instantaneous MEE rate as a function of time for transient evaluations. Although experimental measurements may not be completely replaced by model evaluations, predicted quantities can be used as strong complements to increase reliability of the results and yield unique insights for various applications.

Original languageEnglish (US)
Pages (from-to)e02721
JournalInternational Journal for Numerical Methods in Biomedical Engineering
Volume31
Issue number9
DOIs
StatePublished - Sep 1 2015

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Space Simulation
Multibody Dynamics
Multibody Systems
Energy Metabolism
Dynamic Systems
Numerical models
Dynamical systems
Joints
Energy
Muscle
Phase Measurement
Model Evaluation
Model Complexity
Motion
Evaluate
Energy Estimates
Energy Model
Space Complexity
Constrained Optimization
Multi-objective Optimization

Keywords

  • First law of thermodynamics
  • Generalized coordinates
  • Heat dissipation
  • Joint space
  • Mechanical work
  • Metabolic energy expenditure
  • Muscle activation

ASJC Scopus subject areas

  • Biomedical Engineering
  • Molecular Biology
  • Computational Theory and Mathematics
  • Software
  • Applied Mathematics
  • Modeling and Simulation

Cite this

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title = "A joint-space numerical model of metabolic energy expenditure for human multibody dynamic system",
abstract = "Metabolic energy expenditure (MEE) is a critical performance measure of human motion. In this study, a general joint-space numerical model of MEE is derived by integrating the laws of thermodynamics and principles of multibody system dynamics, which can evaluate MEE without the limitations inherent in experimental measurements (phase delays, steady state and task restrictions, and limited range of motion) or muscle-space models (complexities and indeterminacies from excessive DOFs, contacts and wrapping interactions, and reliance on in vitro parameters). Muscle energetic components are mapped to the joint space, in which the MEE model is formulated. A constrained multi-objective optimization algorithm is established to estimate the model parameters from experimental walking data also used for initial validation. The joint-space parameters estimated directly from active subjects provide reliable MEE estimates with a mean absolute error of 3.6±3.6{\%} relative to validation values, which can be used to evaluate MEE for complex non-periodic tasks that may not be experimentally verifiable. This model also enables real-time calculations of instantaneous MEE rate as a function of time for transient evaluations. Although experimental measurements may not be completely replaced by model evaluations, predicted quantities can be used as strong complements to increase reliability of the results and yield unique insights for various applications.",
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