Studies of anomalous diffusion in the human brain using fractional order calculus
نویسندگان
چکیده
منابع مشابه
Fractional Calculus, Anomalous Diffusion, and Probability
Ideas from probability can be very useful to understand and motivate fractional calculus models for anomalous diffusion. Fractional derivatives in space are related to long particle jumps. Fractional time derivatives code particle sticking and trapping. This probabilistic point of view also leads to some interesting extensions, including vector fractional derivatives, and tempered fractional de...
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X. J. Zhou, O. Abdullah, D. Baleanu, and R. L. Magin Departments of Neurosurgery, Radiology, and Bioengineering, University of Illinois Medical Center, Chicago, IL, United States, Center for MR Research, University of Illinois Medical Center, Chicago, IL, United States, Department of Bioengineering, University of Illinois at Chicago, Chicago, IL, United States, Department of Mathematics and Com...
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ژورنال
عنوان ژورنال: Magnetic Resonance in Medicine
سال: 2010
ISSN: 0740-3194
DOI: 10.1002/mrm.22285