Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging

被引:314
作者
Özarslan, E
Mareci, TH
机构
[1] Univ Florida, Dept Phys, Gainesville, FL 32611 USA
[2] Univ Florida, Dept Biomed Engn, Gainesville, FL USA
[3] Univ Florida, McKnight Brain Inst, Gainesville, FL USA
[4] Univ Florida, Dept Biochem & Mol Biol, Gainesville, FL 32610 USA
关键词
diffusion tensor magnetic resonance imaging; high angular resolution; diffusion imaging; spherical harmonics; higher-rank tensor;
D O I
10.1002/mrm.10596
中图分类号
R8 [特种医学]; R445 [影像诊断学];
学科分类号
1002 ; 100207 ; 1009 ;
摘要
A new method for mapping diffusivity profiles in tissue is presented. The Bloch-Torrey equation is modified to include a diffusion term with an arbitrary rank Cartesian tensor. This equation is solved to give the expression for the generalized Stejskal-Tanner formula quantifying diffusive attenuation in complicated geometries. This makes it possible to calculate the components of higher-rank tensors without using the computationally-difficult spherical harmonic transform. General theoretical relations between the diffusion tensor (DT) components measured by traditional (rank-2) DT imaging (DTI) and 3D distribution of diffusivities, as measured by high angular resolution diffusion imaging (HARDI) methods, are derived. Also, the spherical tensor components from HARDI are related to the rank-2 DT. The relationships between higher- and lower-rank Cartesian DTs are also presented. The inadequacy of the traditional rank-2 tensor model is demonstrated with simulations, and the method is applied to excised rat brain data collected in a spin-echo HARDI experiment. (C) 2003 Wiley-Liss, Inc.
引用
收藏
页码:955 / 965
页数:11
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