Spin dephasing in a magnetic dipole field around large capillaries: Approximative and exact results
We present an analytical solution of the Bloch-Torrey equation for local spin dephasing in the magnetic dipole field around a capillary and for ensembles of capillaries, and adapt this solution for the study of spin dephasing around large capillaries. In addition, we provide a rigorous mathematical...
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| Main Authors: | , , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
19 October 2016
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| In: |
Journal of magnetic resonance
Year: 2016, Volume: 273, Pages: 83-97 |
| ISSN: | 1096-0856 |
| DOI: | 10.1016/j.jmr.2016.10.012 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1016/j.jmr.2016.10.012 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S1090780716302154 
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| Author Notes: | F.T. Kurz, L.R. Buschle, T. Kampf, K. Zhang, H.P. Schlemmer, S. Heiland, M. Bendszus, C.H. Ziener |
| Summary: | We present an analytical solution of the Bloch-Torrey equation for local spin dephasing in the magnetic dipole field around a capillary and for ensembles of capillaries, and adapt this solution for the study of spin dephasing around large capillaries. In addition, we provide a rigorous mathematical derivation of the slow diffusion approximation for the spin-bearing particles that is used in this regime. We further show that, in analogy to the local magnetization, the transverse magnetization of one MR imaging voxel in the regime of static dephasing (where diffusion effects are not considered) is merely the first term of a series expansion that constitutes the signal in the slow diffusion approximation. Theoretical results are in agreement with experimental data for capillaries in rat muscle at 7T. |
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| Item Description: | Gesehen am 22.10.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1096-0856 |
| DOI: | 10.1016/j.jmr.2016.10.012 |