An inversion method for the determination of elastic moduli in tissue using magnetic resonance elastography

The method termed Magnetic Resonance Elastography (MRE) permits a direct measurement of elastic displacements within materials that are subject to forced vibration. Additionally, these displacements are related to the material parameters through the equations of elasticity. In this paper, we give a brief presentation of a method for the determination of the elastic moduli (i.e. the components of the Hooke's tensor) given a knowledge of the elastic displacements though an inversion of the equations of elasticity. Experimental results will be presented and the issue of anisotropy will be addressed.