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Summary

This study introduces a novel activation-driven musculoskeletal model that computes muscle forces using 3D continuum mechanics. This computational framework enhances simulations of musculoskeletal systems for better analysis of movement.

Keywords:
B-splinesfinite element methodforward-dynamics simulationsgradient-based optimizationskeletal muscle mechanicssparse grids

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Area of Science:

  • Biomechanics
  • Computational modeling
  • Musculoskeletal system analysis

Background:

  • Understanding musculoskeletal systems relies on analyzing muscle activity and motion.
  • Existing multibody simulation frameworks have limitations due to modeling assumptions.
  • Continuum-mechanical models offer improvements but are computationally intensive.

Purpose of the Study:

  • To present the first activation-driven musculoskeletal system model.
  • To compute skeletal muscle forces using 3D continuum-mechanical models.
  • To determine muscle activations via constraint optimization.

Main Methods:

  • Developed a novel framework integrating continuum-mechanical muscle models with activation-driven simulations.
  • Employed sparse grid surrogates with hierarchical B-splines for numerical feasibility.
  • Utilized adaptive sparse grid refinement to reduce computational load.
  • Applied gradient-based optimization techniques enabled by B-splines.

Main Results:

  • Achieved low relative errors (less than 0.76%) in computed surrogates.
  • Demonstrated the framework's utility in forward simulations with constraint optimization.
  • Successfully modeled an upper limb system with two muscles and an external load.

Conclusions:

  • The proposed framework offers a computationally feasible approach for activation-driven musculoskeletal modeling.
  • The method is adaptable for more complex musculoskeletal systems with multiple muscles.
  • This advancement aids in understanding healthy and diseased musculoskeletal function.