Fiber tract trajectories in coherently organized brain white matter pathway
s were computed from in vivo diffusion tensor magnetic resonance imaging (D
T-MRI) data. First, a continuous diffusion tensor field is constructed from
this discrete, noisy, measured DT-MRI data. Then a Frenet equation, descri
bing the evolution of a fiber tract, was solved. This approach was validate
d using synthesized, noisy DT-MRI data. Corpus callosum and pyramidal tract
trajectories were constructed and found to be consistent with known anatom
y. The method's reliability, however, degrades where the distribution of fi
ber tract directions is nonuniform. Moreover, background noise in diffusion
-weighted MRIs can cause a computed trajectory to hop from tract to tract.
Still, this method can provide quantitative information with which to visua
lize and study connectivity and continuity of neural pathways in the centra
l and peripheral nervous systems in vivo, and holds promise for elucidating
architectural features in other fibrous tissues and ordered media. Publish
ed 2000 Wiley-Liss, Inc.(dagger)