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Abstract #2777

Low-Pass Filter Effect of Finite Gradient Duration on Time-Dependent Diffusion in the Human Brain

Hong-Hsi Lee 1 , Lauren M. Burcaw 1 , Jelle Veraart 1 , Els Fieremans 1 , and Dmitry S. Novikov 1

1 Center for Biomedical Imaging, NYU Langone Medical Center, New York, New York, United States

Time dependence of the diffusion coefficient, D(t), reflects tissue complexity on a μm scale. Here we show that this information can be recovered even when the duration δ of diffusion gradient pulses is not infinitely narrow, and design the framework to extract these parameters from a realistic clinically measured D(t, δ). Technically, D(t, δ) can be viewed as the low-pass filtered ideal D(t). We apply this framework to human brain DTI measurements along white matter tracts, and find that the predicted δ-dependence agrees with experiment without any adjustable parameters, and furthermore obtain the correlation length that matches the distance between varicosities found along axons.

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