Abstract #2946
Analysis of Local Spatial Magnetization Frequency Sheds New Light on Diffusion MRI
Hans Knutsson 1,2 , Magnus Herbertsson 3 , and Carl-Fredrik Westin 1,4
1
Biomedical Engineering, Linkpings
Universitet, Linkping, G, Sweden,
2
CMIV,
Linkoping University, Linkping, G, Sweden,
3
Mathematics,
Linkpings Universitet, Linkping, G, Sweden,
4
Radiology,
Brigham and Women's, Harvard Medical School, Boston, MA,
United States
A thorough understanding the process of restricted
diffusion in the presence of a magnetic field gradient
is required for a correct interpretation of the
measurements attained by any given diffusion MR scan. A
number of results exist indicating to that the commonly
used concept of q-space holds an oversimplification of
the process. We present a novel local frequency analysis
of the process showing that this is indeed the case and
discuss some important consequences. We show that the
basis functions that correspond to present clinical
diffusion sequences are in fact very far from the
Fourier basis predicted by the short pulse approximation
and, to complicate things further, it is clear that the
basis created will be dependent on the geometry of the
individual compartments present in one voxel.
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