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Exact solutions to the fractional time-space Bloch–Torrey equation for magnetic resonance imaging

Abstract:

The quantification of anomalous diffusion is increasingly being recognised as an advanced modality of analysis for the evaluation of tissue microstructure in magnetic resonance imaging (MRI). One powerful framework to account for anomalous diffusion in biological and structurally heterogeneous tissues is the use of diffusion operators based on fractional calculus theory, which generalises the physical principles of standard diffusion in homogeneous media. However, their non-locality makes ana...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1016/j.cnsns.2017.04.013

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Department:
Oxford, MPLS, Computer Science
Role:
Author
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Funding agency for:
Bueno Orovio, A
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Funding agency for:
Bueno Orovio, A
Publisher:
Elsevier Publisher's website
Journal:
Communications in Nonlinear Science and Numerical Simulation Journal website
Volume:
52
Pages:
91–109
Publication date:
2017-04-25
Acceptance date:
2017-04-14
DOI:
ISSN:
1007-5704
Pubs id:
pubs:690372
URN:
uri:d9f16847-71a1-4c76-905f-b1049c844415
UUID:
uuid:d9f16847-71a1-4c76-905f-b1049c844415
Local pid:
pubs:690372

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