Modelling of muscle behaviour by the finite element method using Hill's three-element model

Kojić, Miloš; Mijailovic, Srboljub; Zdravković, Marija

doi:10.1002/(sici)1097-0207(19981115)43:5<941::aid-nme435>3.0.co;2-3

Cited by 48 publications

(23 citation statements)

References 4 publications

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“…We found that fiber moment arms have a considerable variation within each muscle, indicating that the common assumption that all fiber lengths and excursions within muscle are the same may not be valid, at least for the muscles examined here. Previous studies have described continuum representations of muscle 23,30,31,43 and used them, for example, to investigate intramuscular pressures 28 and understand myofascial force transmission. 48 These models represent the complex nonlinear behavior of muscle tissue; however, they have not incorporated realistic geometric arrangements of muscle fibers or muscle-bone and muscle-muscle surface contact.…”

Section: Discussionmentioning

confidence: 99%

Three-Dimensional Representation of Complex Muscle Architectures and Geometries

2005

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Abstract-Almost all computer models of the musculoskeletal system represent muscle geometry using a series of line segments. This simplification (i) limits the ability of models to accurately represent the paths of muscles with complex geometry and (ii) assumes that moment arms are equivalent for all fibers within a muscle (or muscle compartment). The goal of this work was to develop and evaluate a new method for creating three-dimensional (3D) finite-element models that represent complex muscle geometry and the variation in moment arms across fibers within a muscle. We created 3D models of the psoas, iliacus, gluteus maximus, and gluteus medius muscles from magnetic resonance (MR) images. Peak fiber moment arms varied substantially among fibers within each muscle (e.g., for the psoas the peak fiber hip flexion moment arms varied from 2 to 3 cm, and for the gluteus maximus the peak fiber hip extension moment arms varied from 1 to 7 cm). Moment arms from the literature were generally within the range of fiber moment arms predicted by the 3D models. The models accurately predicted changes in muscle surface geometry over a 55• range of hip flexion, as compared to changes in shape predicted from MR images (average errors between the model and measured surfaces were between 1.7 and 5.2 mm). This new framework for representing muscle will enhance the accuracy of computer models of the musculoskeletal system.

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Section: Discussionmentioning

confidence: 99%

Three-Dimensional Representation of Complex Muscle Architectures and Geometries

2005

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“…However, we discovered large quantitative differences between existing models and parameters used [6,13,14,15]. Hence, it will be essential to compare these models with each other as well as with experimental data available.…”

Section: Discussion and Future Workmentioning

confidence: 99%

A shell finite element model of the pelvic floor muscles

d'Aulignac¹,

Martins²,

Pires³

et al. 2005

Computer Methods in Biomechanics and Biomedical Engineering

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The pelvic floor gives support to the organs in the abdominal cavity. Using the dataset made public in [11] we have reconstructed the geometry of one of the most important parts of the pelvic floor, the levator ani, using NURB surfaces. Once the surface is triangulated, this mesh is used in a finite element analysis with shell elements.Based on the 3D behavior of the muscle we have constructed a shell that takes into account the direction of the muscle fibers and the incompressibility of the tissue. The constitutive model for the isotropic strain energy and the passive strain energy stored in the fibers are adapted from Humphrey's model for cardiac muscles. To this the active behavior of the skeletal muscle is added.We present preliminary results of a simulation of the levator ani muscle under pressure and with active contraction. This research aims at helping predict the damages to the pelvic floor that can occur during childbirth.

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“…While another looks at the effect of damaged ligaments on stress urinary continence [34]. Computational models have also been developed to characterise the global behaviour of the pelvic floor muscles [35][36][37][38][39]. However, there are large quantitative differences between the models and parameters used.…”

Section: Figure 1 Anatomy Of the Anorectum Components Which Are Modementioning

confidence: 99%