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扩散衰减磁共振信号的统计模型

Statistical model for diffusion attenuated MR signal.

作者信息

Yablonskiy Dmitriy A, Bretthorst G Larry, Ackerman Joseph J H

机构信息

Department of Radiology, Washington University School of Medicine, St. Louis, Missouri 63110, USA.

出版信息

Magn Reson Med. 2003 Oct;50(4):664-9. doi: 10.1002/mrm.10578.

Abstract

A general statistical model that can describe a rather large number of experimental results related to the structure of the diffusion-attenuated MR signal in biological systems is introduced. The theoretical framework relies on a phenomenological model that introduces a distribution function for tissue apparent diffusion coefficients (ADC). It is shown that at least two parameters--the position of distribution maxima (ADC) and the distribution width (sigma)--are needed to describe the MR signal in most regions of a human brain. A substantial distribution width, on the order of 36% of the ADC, was found for practically all brain regions examined. This method of modeling the MR diffusion measurement allows determination of an intrinsic tissue-specific ADC for a given diffusion time independent of the strength of diffusion sensitizing gradients. The model accounts for the previously found biexponential behavior of the diffusion-attenuated MR signal in CNS.

摘要

介绍了一种通用统计模型,该模型能够描述大量与生物系统中扩散衰减磁共振信号结构相关的实验结果。理论框架依赖于一个现象学模型,该模型引入了组织表观扩散系数(ADC)的分布函数。结果表明,在人类大脑的大多数区域,至少需要两个参数——分布最大值(ADC)的位置和分布宽度(sigma)——来描述磁共振信号。在几乎所有检查的脑区都发现了相当大的分布宽度,约为ADC的36%。这种对磁共振扩散测量进行建模的方法允许在给定扩散时间的情况下,确定与扩散敏感梯度强度无关的固有组织特异性ADC。该模型解释了先前在中枢神经系统中发现的扩散衰减磁共振信号的双指数行为。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/51d7/2140254/95026584f541/nihms29235f1.jpg

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From the diffusion coefficient to the diffusion tensor.从扩散系数到扩散张量。
NMR Biomed. 2002 Nov-Dec;15(7-8):431-4. doi: 10.1002/nbm.798.

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