Sample Interval Modulation for the simultaneous acquisition of displacement vector data in Magnetic Resonance Elastography: Theory and Application

Sample interval modulation (slim)-mre is introduced for simultaneously encoding all three displacement projections of a mono-frequency vibration into the mr signal phase. In slim-mre, the individual displacement components are observed using different sample intervals. In doing so, the components are modulated with different apparent frequencies in the mr signal phase expressed as a harmonic function of the start time of the motion encoding gradients (meg) and can thus be decomposed by applying a fourier transform to the sampled multidirectional mr phases. In this work, the theoretical foundations of slim-mre are presented and the new idea is implemented using a high field (11.7 t) vertical bore mri on an inhomogeneous agarose gel phantom sample. The local frequency estimation (lfe)-derived stiffness values were the same within the error margins for both the new slim-mre method and for conventional mre, while the number of temporally-resolved mre experiments needed for each study was reduced from three to one. In this work, we present for the first time, monofrequency displacement data along three sensitization directions that were acquired simultaneously and stored in the same k-space.