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arXiv 1703.05985math.NAcs.CEcs.NA
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动态磁共振成像的Bloch方程数值模拟

Numerical Simulation of Bloch Equations for Dynamic Magnetic Resonance Imaging

Georg-August-University Göttingen（哥廷根大学）；Institute for Numerical and Applied Mathematics, Georg-August-University Göttingen（哥廷根大学数值与应用数学研究所）

Arijit Hazra, Gert Lube, Hans-Georg Raumer

备注：
Section 1 is improved with a description of the state-of-art. Some simulation results are added in section 5. Mathematical theorems and estimates are re-arranged
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AI总结：

本文研究了动态磁共振成像中流体中自旋的Bloch方程模型，采用间断Galerkin方法进行空间离散化，并设计了适应性时间离散化方案以处理高频演化。

摘要：

本文研究了动态磁共振成像中流体中自旋的Bloch方程模型，采用间断Galerkin方法进行空间离散化，并设计了适应性时间离散化方案以处理高频演化。

英文摘要：

Magnetic Resonance Imaging (MRI) is a widely applied non-invasive imaging modality based on non-ionizing radiation which gives excellent images and soft tissue contrast of living tissues. We consider the modified Bloch problem as a model of MRI for flowing spins in an incompressible flow field. After establishing the well-posedness of the corresponding evolution problem, we analyze its spatial semidiscretization using discontinuous Galerkin methods. The high frequency time evolution requires a proper explicit and adaptive temporal discretization. The applicability of the approach is shown for basic examples.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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