Review Article

A Systematic Review of Continuum Modeling of Skeletal Muscles: Current Trends, Limitations, and Recommendations

Table 1

Constitutive laws for passive muscle modeling (I).

ReferencesMusclesGeometriesConstitutive lawsSimulationValidation

Beldie et al. [22]20 facial muscles1 patient, 3D geometries from MRI dataLinear elastic material ( kPa, )Maxillofacial surgeryIn vivo postsurgery data (skin envelop)
Chabanas et al. [24]6 facial muscles6 patients, muscles modeled as embedded group elementsFiber-based and orthogonal direction-based elastic material
( kPa and E-fiber = 110 kPa)
Bone repositioningNo
Büchler et al. [27]Subscapularis, supra, and infraspinatusTwo human fresh frozen cadavers, 3D geometries from CT imagesHyperelastic, and incompressible material
 MPa,
Internal and external rotations of the shouldersNo
Hedenstierna and Halldin [33]Neck muscles1 healthy subject, 3D geometries from MRI dataOgden hyperelastic, viscoelastic material (LS-DYNA FE code)
Impact simulationsResulting head and vertebral kinematics
Barbarino et al. [21]20 facial muscles1 healthy subject, 3D geometries from MRI dataNonlinear elastic-viscoplastic model (6 parameters) (UMAT Abaqus)AgingIn vivo MRI-based displacement
Avril et al. [28]Calf muscles1 healthy subject, 2D geometries from MRI dataHyperelastic material (Neo-Hookean model)
 = [9.4–12.9] kPa
 = [61–78] kPa
Compression garmentsIn vivo MRI measurement (deformed geometries)
Kim et al. [25]Facial muscles4 patients, 3D geometries from atlasOrthogonal elastic material
(E_acrossFiber = 0.79 MPa, E_alongFiber = 0.5 Mpa, )
Cranio-maxillofacial (CMF) surgeryPostoperative CT scan data (distance map)