厦门大学学位论文原创性声明 兹呈交的学位论文, 是本人在导师指导下独立完成的研究成 果 本人在论文写作中参考的其他个人或集体的研究成果, 均在文 中以明确方式标明 本人依法享有和承担由此论文而产生的权利和责任 声明人 ( 签名 ): 2005 年 12 月日

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1 学校编码 :10384 分类号 密级 学号 : UDC 硕士学位论文 分子间多量子相干的磁共振成像模拟 Magnetic Resonance Imaging Simulations of Intermolecular Multiple-Quantum Coherences 孙惠军 指导教师姓名 : 陈忠教授 专业名称 : 无线电物理 论文提交日期 :2005 年 12 月 论文答辩时间 :2005 年 12 月 学位授予日期 : 答辩委员会主席 : 评阅人 : 2005 年 12 月

2 厦门大学学位论文原创性声明 兹呈交的学位论文, 是本人在导师指导下独立完成的研究成 果 本人在论文写作中参考的其他个人或集体的研究成果, 均在文 中以明确方式标明 本人依法享有和承担由此论文而产生的权利和责任 声明人 ( 签名 ): 2005 年 12 月日

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4 厦门大学学位论文著作权使用声明 本人完全了解厦门大学有关保留 使用学位论文的规定 厦门大学有权保留并向国家主管部门或其指定机构送交论文的纸质版和电子版, 有权将学位论文用于非赢利目的的少量复制并允许论文进入学校图书馆被查阅, 有权将学位论文的内容编入有关数据库进行检索, 有权将学位论文的标题和摘要汇编出版 保密的学位论文在解密后适用本规定 本学位论文属于 1 保密( ), 在年解密后适用本授权书 2 不保密( ) ( 请在以上相应括号内打 ) 作者签名 : 日期 : 年月日 导师签名 : 日期 : 年月日

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6 目录中文摘要 i 英文摘要 iii 第一章绪论 MRI 简介 分子间多量子相干在 MRI 中的应用及发展 数值模拟在 MRI NMR 中的应用 本文主要工作 4 第二章分子间多量子相干的基本理论 引言 分子间多量子相干的理论表述 CRAZED 脉冲序列 经典理论描述 偶极场方法 量子理论描述 分子间多量子相干方法 量子 - 经典理论描述 偶极场的数值计算方法 本章小结 22 第三章单组份体系分子间多量子相干成像模拟 引言 理论描述 分子间多量子相干信号 MultiCRAZED 脉冲序列 模拟结果与讨论 原始模拟样品 偶极场及基本分子间多量子成像信号模拟 各参数对 imqc 成像的影响 35

7 3.3.4 MultiCRAZED 脉冲序列成像模拟 本章小结 45 第四章同核双组份体系分子间零量子 双量子及单量子相干成像模 拟 引言 同核双组份体系分子间零量子和双量子相干成像模拟 理论描述 模拟结果与讨论 分子间单量子相干成像模拟 分子间单量子相干理论 模拟结果与讨论 三脉冲序列分子间单量子相干成像模拟 理论描述 模拟结果与讨论 本章小结 76 第五章基于非线性 Bloch 方程的 MRI 模拟算法 引言 算法理论 初始样品及参数设置 算法与流程图 成像机制模拟与数据处理 讨论 本章小结 94 第六章全文总结与展望 全文总结 展望 97

8 论文发表情况 98 致谢 99

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10 CONTENTS Abstract in Chinese i Abstract in English iii Chapter 1 Preface Introduction of MRI Applications and developments of intermolecular multiple-quantum coherences in MRI Applications of numerical simulation in MRI and NMR Main works of the dissertation 4 Chapter 2 Basic theories of intermolecular multiple-quantum coherences Introduction Theoretical treatments of intermolecular multiple-quantum coherences CRAZED pulse sequence Classical treatment-dipolar field method Quantum treatment-intermolecular multiple-quantum coherences method Quantum-classical treatment Numerical calculation method of dipolar field Conclusions 22 Chapter 3 Imaging simulations of intermolecular multiple-quantum coherences of one-component systems Introduction Theoretical expression Signals of intermolecular multiple-quantum coherences 26

11 3.2.2 MultiCRAZED pulse sequence Simulation results and discussion Original sample used in simulation Simulations of dipolar field and imaging signals of intermolecular multiple-quantum coherences Effects of parameters on imaging signals of intermolecular multiple-quantum coherences Imaging simulations of MultiCRAZED pulse sequence Conclusions 45 Chapter 4 Imaging simulations of intermolecular zero-quantum, double-quantum and single-quantum coherences of homo-nuclear two-component systems Introduction Imaging simulations of intermolecular zero-quantum and double-quantum coherences of homo-nuclear two-component systems Theoretical expression Simulation results and discussion Imaging simulations of intermolecular single-quantum coherences Theoretical expression Simulation results and discussion Imaging simulations of intermolecular single-quantum coherences under three-pulse sequence Theoretical expression Simulation results and discussion Conclusions 76 Chapter 5 MRI simulation algorithm based on non-linear Bloch

12 equation Introduction Theory of algorithm Original sample and parameter setting Algorithm and flow chart Simulations of imaging mechanism and data processing Discussion Conclusions 94 Chapter 6 Summary and prospect Summary Prospect 97 Publications 98 Acknowledgements 99

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14 作者姓名 : 孙惠军论文题目 : 分子间多量子相干的磁共振成像模拟作者简介 : 孙惠军, 男, 1973 年 11 月出生,2001 年 09 月师从于 厦门大学陈忠教授, 于年月获硕士学位 中文摘要 分子间多量子相干 (intermolecular Multiple Quantum Coherences,iMQC) 是近年来核磁共振领域研究的热点之一, 在磁共振成像 (Magnetic Resonance Imaging,MRI) 领域具有诱人的应用前景 尽管其图像信号强度低于常规的 MRI 方法, 但它的成像对比度包含独特的成像参数, 能够得到比常规单量子成像高的对比度和分辨率, 并提供新的成像信息和机理 本论文结合分子间多量子相干理论和偶极场理论, 利用基于非线性 Bloch 方程的模拟算法, 系统深入地模拟研究了三维结构样品的 imqc 成像信号, 并就各主要参数对成像对比度的影响, 以及 imqc 信号特有的成像信息进行了讨论 本文的主要内容如下 : 模拟了 CRAZED modcrazed 和 MultiCRAZED 脉冲序列作用下单组份单自旋体系 imqc 成像信号及各主要参数对成像对比度的影响, 得到了与理论分析和实 际实验一致的结果, 即 imqc 成像的对比度比常规单量子成像高, 且提供了新的成 像信息 模拟和研究了双组份体系分子间零量子相干 单量子相干和双量子相干的成像信号 ; 模拟并讨论了各主要参数对双组份体系 imqc 成像对比度的影响 ; 模拟了三脉冲序列作用下的分子间单量子相干信号 通过模拟预测了化学位移对双组份体系成像信号的影响, 并利用模拟结果对化学位移的影响进行了深入的探讨 结果表明, 双组份体系 imqc 信号同样能够增强成像对比度和提供新的成像信息 本文还详细给出了基于非线性 Bloch 方程的 MRI 模拟算法, 阐明了偶极场等多 i

15 种作用因素的引入方法, 建立了三维结构样品的 imqc 的 MRI 模拟方法 模拟方法 能够得到满意的定性分析结果和较好的定量分析结果 关键词 : 磁共振成像 ; 分子间多量子相干 ; 计算机模拟 ii

16 Magnetic Resonance Imaging Simulations of Intermolecular Multiple-Quantum Coherences Sun Huijun ABSTRACT Intermolecular multiple-quantum coherences (imqc) is hot topic in nuclear magnetic resonance (NMR) community in recent years. It has a potential application in MRI. Although the signal intensity of imqc is lower than general MRI s, it includes specific imaging parameters such as dipolar correlation distance. Therefore, imqc imaging may provide new contrast mechanism. Combining the imqc with dipolar field treatment, imqc imaging signals of a three-dimensional sample was simulated systematically, by the algorithm of non-linear Bloch equation with dipolar field. Contribution of variant parameters to imqc imaging contrast and specific imaging information were also deeply discussed. The main results are summarized as follows: Imaging signals of imqc of one-component systems under CRAZED, modcrazed and MultiCRAZED pulse sequences and contribution of variant parameters to imqc imaging contrast were simulated. The simulation results agreed with theoretical analysis and experimental results. It showed that imqc imaging has higher imaging contrasts than general MRI s. imqc imaging offers new information and mechanism. Imaging signals of intermolecular zero-quantum, double-quantum and single -quantum coherences of two-component systems were simulated. By simulation, contribution of chemical shift to imqc images was predicted and discussed. Contributions iii

17 Degree papers are in the Xiamen University Electronic Theses and Dissertations Database. Full texts are available in the following ways: 1. If your library is a CALIS member libraries, please log on and submit requests online, or consult the interlibrary loan department in your library. 2. For users of non-calis member libraries, please mail to etd@xmu.edu.cn for delivery details.

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