论文标题

Larmor频率从具有任意取向分布的磁化缸

Larmor frequency shift from magnetized cylinders with arbitrary orientation distribution

论文作者

Sandgaard, Anders Dyhr, Shemesh, Noam, Kiselev, Valerij G., Jespersen, Sune Nørhøj

论文摘要

我们提出了使用中学Lorentz球和粗晶状理原理的NMR和MRI的理论框架,用磁化微观结构测量了介质的Larmor频率。我们获得具有任意取向分散的无限圆柱体的分析表达,并显示了它如何依赖于纤维取向分布,可以使用扩散MRI测量。通过模拟,我们仔细检查了框架,包括洛伦兹腔的形状和大小的影响,并验证我们的圆柱体结果。

We present a theoretical framework for the NMR and MRI measured Larmor frequency in media with magnetized microstructure using the mesoscopic Lorentz sphere and the principle of coarse graining. We obtain an analytical expression for infinite cylinders with arbitrary orientation dispersion and show how it depends on the fiber orientation distribution, measurable using diffusion MRI. Through simulations, we scrutinize the framework including the effect of the shape and size of the Lorentz cavity and validate our result for cylinders.

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