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Abstract #0600

How does dMRI signal evolve during diffusion encoding: theoretical analysis and numerical simulations for Gaussian diffusion

Fan Liu1, Li Chen2, Sisi Li1, Quanshui Zheng2, Hua Guo1, Junzhong Xu3,4,5,6, and Diwei Shi2
1Center for Biomedical Imaging Research, Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing, China, 2Center for Nano and Micro Mechanics, Department of Engineering Mechanics, Tsinghua University, Beijing, China, 3Institute of Imaging Science, Vanderbilt University Medical Center, Nashville, TN, United States, 4Department of Radiology and Radiological Sciences, Vanderbilt University Medical Center, Nashville, TN, United States, 5Department of Biomedical Engineering, Vanderbilt University, Nashville, TN, United States, 6Department of Physics and Astronomy, Vanderbilt University, Nashville, TN, United States

Synopsis

Keywords: Microstructure, Microstructure, dMRI signal analysis

Motivation: Until now, most attention has been focused on the final dMRI signals acquired, ignoring the signal evolution during diffusion encoding. However, the methods, which incorporated water exchange between compartments into modelling to extract more comprehensive tissue information, need to consider the signal evolution within the different compartments, as described in Karger model.

Goal(s): Figure out the dMRI signal evolution in the simplest case: Gaussian diffusion.

Approach: Theoretical analysis, Monte-Carlo and finite difference simulations.

Results: Signal-evolution curves provided by analytical expressions and numerical simulations are consistent. An “observation-size” effect emerges, the signal-evolution curve depends on the spatial size of the observation area.

Impact: Clarifying the actual dMRI signal evolution during diffusion encoding will inspire us to revisit the theoretical framework of Karger model. The results show that it is necessary to revise the current Karger-model-based methods for the “observation-size” effect.

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