We hypothesize that the SEM equation can be adapted for fitting the spin-density dependence of the MR signal similar to fitting the time or b-value dependences: Signal=exp[-(nr)^β], where 0<β<1, n is an image number and r is the fractional spin-density. Such an approach permits consideration of the signal intensity variation as reflection of the underlying spin-density variation and hence, reconstruction of the under-sampled k-space using the adapted SEM equation. In this proof-of-concept evaluation, we have demonstrated the feasibility of this approach in a small group of patients. Lung SV/ADC/morphometry/T2* maps have been generated using reconstructed images and their corresponding weighing.
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