- 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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted manuscript
- Files:
-
-
(pdf, 927.4KB)
-
- Publisher copy:
- 10.1016/j.cnsns.2017.04.013
-
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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
- Copyright holder:
- Elsevier B.V.
- Copyright date:
- 2017
- Notes:
- © 2017 Elsevier B.V. All rights reserved. This is the accepted manuscript version of the article. The final version is available online from Elsevier at: http://dx.doi.org/10.1016/j.cnsns.2017.04.013
- License:
- Publisher's own licence
Journal article
Exact solutions to the fractional time-space Bloch–Torrey equation for magnetic resonance imaging
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