Xiaohong Joe Zhou1,2, Qing Gao1,3, Girish Srinivasan1,3, Richard L. Magin3
1Center for MR Research, Univ. of Illinois Medical Center, Chicago, IL, USA; 2Departments of Radiology, Neurosurgery, and Bioengineering, Univ. of Illinois Medical Center, Chicago, IL, USA; 3Dept. of Bioengineering, University of Illinois - Chicago, Chicago, IL, USA
In fractional order diffusion model, anomalous diffusion is described by two new parameters: fractional order spatial derivative and a spatial variable . Although a correlation has been suggested between these parameters and the degree of tissue heterogeneity, the biophysical basis of such correlation has not been established. In this study, we have investigated the effects of diffusion time on these parameters and observed a strong dependence of on diffusion time. This result suggests that may reflect the degree of diffusion restriction and help establish the interrelation with tissue microstructures.
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