Studies of anomalous diffusion in the human brain using fractional order calculus

• Published in: Magnetic resonance in medicine Vol. 63; no. 3; pp. 562 - 569
• Main Authors: Zhou, Xiaohong Joe, Gao, Qing, Abdullah, Osama, Magin, Richard L.
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.03.2010
• Subjects: Algorithms; anomalous diffusion; Brain; Brain - anatomy & histology; Calculus; Diffusion coefficient; Diffusion Magnetic Resonance Imaging - methods; diffusion model; Echo-Planar Imaging - methods; fractional order calculus; high b value; Humans; Image Enhancement - methods; Image Interpretation, Computer-Assisted - methods; Mathematical models; Microenvironments; N.M.R; Neuroimaging; Reproducibility of Results; Sensitivity and Specificity; Substantia grisea

It is well known that diffusion‐induced MR signal loss deviates from monoexponential decay, particularly at high b‐values (e.g., >1500 sec/mm2 for human brain tissues). A number of models have been developed to describe this anomalous diffusion behavior and relate the diffusion measurements to ti...