Journal article
Exact solutions to the fractional time-space Bloch–Torrey equation for magnetic resonance imaging
- Abstract:
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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
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- Files:
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(Accepted manuscript, pdf, 927.4KB)
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- Publisher copy:
- 10.1016/j.cnsns.2017.04.013
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Authors
Funding
+ National Centre for the Replacement, Refinement and Reduction of Animals in Research
More from this funder
Funding agency for:
Bueno Orovio, A
Grant:
675451
Bibliographic Details
- 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:
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1007-5704
- Source identifiers:
-
690372
Item Description
- Keywords:
- Pubs id:
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pubs:690372
- UUID:
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uuid:d9f16847-71a1-4c76-905f-b1049c844415
- Local pid:
- pubs:690372
- Deposit date:
- 2017-04-21
Terms of use
- Copyright holder:
- Elsevier BV
- 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
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