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

✍ Scribed by Xiaohong Joe Zhou; Qing Gao; Osama Abdullah; Richard L. Magin

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
329 KB
Volume
63
Category
Article
ISSN
0740-3194

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✦ Synopsis

It is well known that diffusion-induced MR signal loss deviates from monoexponential decay, particularly at high b-values (e.g., >1500 sec/mm 2 for human brain tissues). A number of models have been developed to describe this anomalous diffusion behavior and relate the diffusion measurements to tissue structures. Recently, a new diffusion model was proposed by solving the Bloch-Torrey equation using fractional order calculus with respect to time and space (Magin et al.,

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