Spin dephasing around randomly distributed vessels
We analyze the gradient echo signal in the presence of blood vessel networks. Both, diffusion and susceptibility effects are analytically emphasized within the Bloch-Torrey equation. Solving this equation, we present the first exact description of the local magnetization around a single vessel. This...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2019
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| In: |
Journal of magnetic resonance
Year: 2018, Volume: 299, Pages: 12-20 |
| ISSN: | 1096-0856 |
| DOI: | 10.1016/j.jmr.2018.11.014 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1016/j.jmr.2018.11.014 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S1090780718303227 |
| Author Notes: | L.R. Buschle, F.T. Kurz, T. Kampf, H.P. Schlemmer, C.H. Ziener |
| Summary: | We analyze the gradient echo signal in the presence of blood vessel networks. Both, diffusion and susceptibility effects are analytically emphasized within the Bloch-Torrey equation. Solving this equation, we present the first exact description of the local magnetization around a single vessel. This allows us to deduce the gradient echo signal of parallel vessels randomly distributed in a plane, which is valid for arbitrary mean vessel diameters in the range of physiological relevant blood volume fractions. Thus, the results are potentially relevant for gradient echo measurements of blood vessel networks with arbitrary vessel size. |
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| Item Description: | Available online 30 November 2018 Gesehen am 11.07.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1096-0856 |
| DOI: | 10.1016/j.jmr.2018.11.014 |