We studied the orientationally averaged diffusion weighted MR signal for diffusion along general curves at all three temporal regimes of the traditional pulsed field gradient measurements. We found that long fibers as well as short fibers that are straight could yield the $$$q^{-1}$$$ decay. The absence of such a decay suggests fibers that are short and curvy. We note that the true asymptotic behavior of the signal decay is characterized by the Debye-Porod law, which suggests $$$\bar{E}(q)\propto q^{-4}$$$ at very large $$$q$$$-values. This study is expected to provide insights for interpreting the diffusion-weighted images of the central nervous system.
This abstract and the presentation materials are available to members only; a login is required.