Derivation of the Signal of IR-EPI Sequences in MRI Using the Propagator Matrix

Su Jin; Niu Xiao-dong; Yuan Xiao-yan

doi:10.12052/gdutxb.170119

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Derivation of the Signal of IR-EPI Sequences in MRI Using the Propagator Matrix

更新时间：2026-05-27

- Derivation of the Signal of IR-EPI Sequences in MRI Using the Propagator Matrix
- Vol. 35, Issue 1, Pages: 6-8(2018)
- 作者机构：
  
  长治医学院　基础医学部,山西,长治,046000
- 作者简介：
- 基金信息：
- DOI：10.12052/gdutxb.170119
  CLC： O571.2
- Online First：09 January 2018，
  
  Published：2018
- 稿件说明：
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苏晋, 牛晓东, 袁小燕. 传播子矩阵方法推导IR-EPI序列下的磁共振信号[J]. 广东工业大学学报, 2018, 35(1): 6-8.

Su Jin, Niu Xiao-dong, Yuan Xiao-yan. Derivation of the Signal of IR-EPI Sequences in MRI Using the Propagator Matrix[J]. 2018, 35(1): 6-8.
苏晋, 牛晓东, 袁小燕. 传播子矩阵方法推导IR-EPI序列下的磁共振信号[J]. 广东工业大学学报, 2018, 35(1): 6-8. DOI： 10.12052/gdutxb.170119.

Su Jin, Niu Xiao-dong, Yuan Xiao-yan. Derivation of the Signal of IR-EPI Sequences in MRI Using the Propagator Matrix[J]. 2018, 35(1): 6-8. DOI： 10.12052/gdutxb.170119.

摘要

医学磁共振成像(Magnetic Resonance Imaging

MRI)中

对特定序列下磁共振信号的理论研究

有助于分析影响成像质量的因素以及提高成像质量. Bloch方程是磁共振成像理论研究中的动力学方程. 传播子矩阵方法是将Bloch方程矩阵化

将主磁场、外加射频场等各种条件参数通过矩阵的形式作用于磁化强度矢量的向量形式

通过对IR-EPI序列下的不同时间段的传播子矩阵的计算

得到最终的磁共振信号的表达式. 此方法为MRI技术中复杂序列下的信号分析提供了理论基础.

Abstract

The theoretical study of the signal in certain sequences is helpful to analyze the factors that affect the imaging quality and improve the imaging quality in magnetic resonance imaging. Bloch equation is one of the most universal methods to solve the dynamics behavior of nucleus in magnetic field. Bloch equation and its solutions can be written in matrix form. By acting on magnetization (the Vector M)

the propagator matrix that contains some parameters

such as main magnetic field

Radio Frequency pulse (RF)

relaxation time

can be used to calculate signal of magnetic resonance imaging (MRI) in different circumstances of MRI sequences.

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references

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