Full Characterization of in vivo Muscle as an Elastic, Incompressible, Transversely Isotropic Material Using Ultrasonic Rotational 3D Shear Wave Elasticity Imaging

Using a 3D rotational shear wave elasticity imaging (SWEI) setup, 3D shear wave data were acquired in the
vastus lateralis
of a healthy volunteer. The innate tilt between the transducer face and the muscle fibers results in the excitation of multiple shear wave modes, allowing for more complete characterization of muscle as an elastic, incompressible, transversely isotropic (ITI) material. The ability to measure both the shear vertical (SV) and shear horizontal (SH) wave speed allows for measurement of three independent parameters needed for full ITI material characterization: the longitudinal shear modulus
${\mu }_{L}$
, the transverse shear modulus
${\mu }_{T}$
, and the tensile anisotropy
${\chi }_{E}$
. Herein we develop and validate methodology to estimate these parameters and measure them
in vivo
, with
${\mu }_{L} = 5.77\pm 1.00$
kPa,
${\mu }_{T} = 1.93\pm 0.41$
kPa (giving shear anisotropy
${\chi _\mu } = 2.11\pm 0.92$
), and
${\chi }_{E} = 4.67\pm 1.40$
in a relaxed
vastus lateralis
muscle. We also demonstrate that 3D SWEI can be used to more accurately characterize muscle mechanical properties as compared to 2D SWEI.