Elucidation of Isotropic and Anisotropic Shear Elasticity of in vivo Soft Tissue using Planar Magnetic Resonance

Magnetic resonance elastography (MRE) is a noninvasive method that allows the determination of in vivo shear elasticity of soft tissues. In this thesis methods for the determination of isotropic and anisotropic shear elasticities from MRE wave data were developed and evaluated. All methods presented in this work are based on planar MRE, i.e. they are based on the measurement of a single displacement component in the image plane. This way measurement time in MRE is greatly reduced. However, this imposes specific requirements on data evaluation in order to determine significant elastic constants. On the basis of planar MRE experiments on tissue mimicking gels, human skeletal muscle and numerical simulations it is demonstrated that correct shear elasticities can be determined, taking into account a small set of experimental boundary conditions as well as the employment of complementary data evaluation strategies. This thesis is particularly focussed on the analysis of noise and image resolution on the determined elastic constants. Moreover, methods for determining anisotropic elasticity and analyzing shear wave scattering effects on MRE wave data are introduced. The investigated influences on wave amplitudes and wave lengths are compared and discussed to develop a simple measurement protocol for the evaluation of in vivo MRE data. All methods employed in this work are summarized in the appendix along with the corresponding computer code, which is available on demand.