An analytical solution for the SSFP signal in MRI
An analytical solution for the SSFP signal in MRI
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DOI：
10.1002/mrm.10410
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发表时间：
2003-04-01
影响因子：
3.3
通讯作者：
Vogel, HU
中科院分区：
文献类型：
--
作者：
Hänicke, W;Vogel, HU
在快速MRI中稳态自由旋进（SSFP）信号的先前分析中，一种治疗导致需要评估无限二项式级数的方程。在这里，解析解是通过变换成反正弦函数的导数的幂级数展开而导出的，其本质上是根。治疗扩展到包括高阶信号。结果证明了迄今为止报道的SSFP信号的截然不同的方程的同一性。应用包括推导回波移位MRI中信号的封闭表达式以及对TrueFISP序列的相应分析。(C)2003 Wiley-Liss，Inc.
Among previous analyses of the steady-state free-precession (SSFP) signal in rapid MRI, one treatment resulted in equations that require the evaluation of infinite binomial series. Here, an analytical solution is derived by a transformation into the power series expansion of the derivative of the inverse sine function, which is essentially a root. The treatment is extended to include higher-order signals. The results demonstrate the identity of the vastly different equations for the SSFP signals reported so far. Applications consist of the derivation of closed expressions for the signal in echo-shifted MRI and a corresponding analysis of TrueFISP sequences. (C) 2003 Wiley-Liss, Inc.