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Abstract #0716

A new approach to time-dependent diffusion: Direct, time-domain measurement of the velocity autocorrelation function

Teddy Xuke Cai1, Nathan Hu Williamson1, Rea Ravin1, Magnus Herbethson2, Evren Özarslan3, and Peter Joel Basser1
1Eunice Kennedy Shriver National Institute of Child Health and Human Development, National Institutes of Health, Bethesda, MD, United States, 2Department of Mathematics, Linköping University, Linköping, Sweden, 3Department of Biomedical Engineering, Linköping University, Linköping, Sweden

Synopsis

Keywords: Diffusion Modeling, Diffusion Modeling, time-dependent diffusion, velocity autocorrelation

Motivation: Time-dependent diffusion can reveal fine microstructural details, but its quantitative measurement is difficult. Oscillating gradient methods probe a limited range of frequencies, and the recovered spectrum is not straightforward to interpret.

Goal(s): To measure time-dependent diffusion directly via the velocity autocorrelation function (VAF), i.e., half the second derivative of the mean-squared displacement (MSD).

Approach: A double diffusion encoding method and analysis framework provides a semi-quantitative measurement of the VAF. The method is validated using simulations. Proof-of-concept data in ex vivo tissue are also presented.

Results: The estimated VAF agrees with analytical and numerical ground truth. The VAF scaling in tissue indicates barrier-limited exchange.

Impact: Time-dependent diffusion encapsulates diffusion microstructural MRI. The conventional oscillating gradient approach, however, is limited by slew rates and relaxation. We propose a new approach that is semi-quantitative and can access a wide range of times using a longitudinal storage period.

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Keywords