Abstract #3146
T2-relaxometry for Myelin Water Fraction Estimation using a Mixture of Wald Distributions
Alireza Akhondi-Asl 1,2 , Onur Afacan 1,2 , Robert V. Mulkern 1,2 , and Simon K. Warfield 1,2
1
Boston Childrens Hospital, Boston, MA,
United States,
2
Harvard
Medical School, MA, United States
We introduce a novel model with small number of
parameters to characterize transverse relaxation rate
spectrum at each voxel. We use mixture of three Wald
distributions with unknown mixture weights, mean and
shape parameters to represent the distribution of the
relative amount of water in between myelin sheets,
tissue water, and cerebrospinal fluid. Wald distribution
has a Gaussian-like distribution with positive support
and a closed form Laplace transform which are
exceptional and distinctive attributes for the
representation of transverse relaxation rate
distribution. The parameters of the model are estimated
using the constrained variable projection method as a
substantial number of unknown parameters is linear.
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