Guangyu Dan1,2, Yuxin Zhang3,4, Zheng Zhong1,2, Kaibao Sun1, Muge Karaman1,2, Diego Hernando3,4, and Xiaohong Joe Zhou1,2,5
1Center for MR Research, University of Illinois at Chicago, Chicago, IL, United States, 2Department of Bioengineering, University of Illinois at Chicago, Chicago, IL, United States, 3Department of Medical Physics, University of Wisconsin-Madison, Madison, WI, United States, 4Department of Radiology, School of Medicine and Public Health, University of Wisconsin-Madison, Madison, WI, United States, 5Departments of Radiology and Neurosurgery, University of Illinois at Chicago, Chicago, IL, United States
1Center for MR Research, University of Illinois at Chicago, Chicago, IL, United States, 2Department of Bioengineering, University of Illinois at Chicago, Chicago, IL, United States, 3Department of Medical Physics, University of Wisconsin-Madison, Madison, WI, United States, 4Department of Radiology, School of Medicine and Public Health, University of Wisconsin-Madison, Madison, WI, United States, 5Departments of Radiology and Neurosurgery, University of Illinois at Chicago, Chicago, IL, United States
We have shown that parameters of a continuous-time
random-walk diffusion model are highly dependent on diffusion time in the human
brain tissue at long time regime.
Figure 2. Diffusion parameter maps based on D, αQDI, αT-FROC, and τ at different TM values in row a), b), c), and d), respectively.
Figure 1. A diffusion phase diagram with respect to temporal
fractional derivative α, and spatial fractional derivative β. Two
special cases (β = 2, and 2α = β) in this study were
marked with dash lines. Note that the circled point corresponds to Gaussian
diffusion.
