Abstract

In computational biomechanics, two separate types of models have been used predominantly to enhance the understanding of the mechanisms of action of the lumbosacral spine (LSS): Finite element (FE) and musculoskeletal multibody (MB) models. To combine advantages of both models, hybrid FE-MB models are an increasingly used alternative. The aim of this paper is to develop, calibrate, and validate a novel passive hybrid FE-MB open-access simulation model of a ligamentous LSS using ArtiSynth. Based on anatomical data from the Male Visible Human Project, the LSS model is constructed from the L1-S1 rigid vertebrae interconnected with hyperelastic fiber-reinforced FE intervertebral discs, ligaments, and facet joints. A mesh convergence study, sensitivity analyses, and systematic calibration were conducted with the hybrid functional spinal unit (FSU) L4/5. The predicted mechanical responses of the FSU L4/5, the lumbar spine (L1-L5), and the LSS were validated against literature data from in vivo and in vitro measurements and in silico models. Spinal mechanical responses considered when loaded with pure moments and combined loading modes were total and intervertebral range of motions, instantaneous axes and centers of rotation, facet joint contact forces, intradiscal pressures, disc bulges, and stiffnesses. Undesirable correlations with the FE mesh were minimized, the number of crisscrossed collagen fiber rings was reduced to five, and the individual influences of specific anatomical structures were adjusted to in vitro range of motions. Including intervertebral motion couplings for axial rotation and nonlinear stiffening under increasing axial compression, the predicted kinematic and structural mechanics responses were consistent with the comparative data. The results demonstrate that the hybrid simulation model is robust and efficient in reproducing valid mechanical responses to provide a starting point for upcoming optimizations and extensions, such as with active skeletal muscles.

Highlights

  • Low back pain affects more than 80% of all adults over the course of a lifetime [1] and is by far the most common diagnosis for musculoskeletal disorders in Germany [2]

  • The aim of this paper is to address the discussed hurdles by developing, calibrating, and validating a passive hybrid simulation model of the ligamentous lumbosacral spine (LSS) from scratch, in order to join the advantages of established MB and implicit Finite element (FE) models and encourage open science in the field

  • The segmentation, modeling, and meshing performed is not limited to the commercial programs we used in upstream processing steps

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Summary

Introduction

Low back pain affects more than 80% of all adults over the course of a lifetime [1] and is by far the most common diagnosis for musculoskeletal disorders in Germany [2]. Calibration and validation of a novel passive hybrid model of the lumbosacral spine element models and is available on GitHub (https://github.com/artisynth/artisynth_core)

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