Fox R A, Henson P W
Med Phys. 1986 Sep-Oct;13(5):635-43. doi: 10.1118/1.595866.
The basic partial differential formulation for small differences has been applied to the equations for the inversion recovery and saturation recovery sequences with spin-echo rephase pulses and the spin-echo sequence itself. The result is a generalized expression which is proportional to tissue discrimination expressed as the signal-difference-to-noise ratio for a pair of tissues. The expression is a function of the fractional differences in the tissue relaxation times and proton densities, T1, T2, and n, respectively, and the sequence parameters TR and TI, or TE. From it can be derived the conditions which lead to optimum tissue discrimination for a given pulse sequence. It is also possible to predict the optimum pulse sequence to use for any pair of tissues of interest. The method requires a knowledge of the fractional differences in T1, T2, and n for both tissues.
针对小差异的基本偏微分公式已应用于具有自旋回波重聚脉冲的反转恢复和饱和恢复序列方程以及自旋回波序列本身。结果得到一个广义表达式,它与以一对组织的信号差与噪声比表示的组织辨别率成正比。该表达式是组织弛豫时间和质子密度(分别为T1、T2和n)的分数差异以及序列参数TR和TI或TE的函数。由此可以推导出给定脉冲序列实现最佳组织辨别的条件。还可以预测针对任何一对感兴趣组织应使用的最佳脉冲序列。该方法需要了解两种组织的T1、T2和n的分数差异。