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先验分布和中心趋势度量对体素内不相干运动模型贝叶斯拟合的影响。

Impact of prior distributions and central tendency measures on Bayesian intravoxel incoherent motion model fitting.

机构信息

Department of Radiation Physics, Institute of Clinical Sciences, Sahlgrenska Academy, University of Gothenburg, Gothenburg, Sweden.

Department of Medical Physics and Biomedical Engineering, Sahlgrenska University Hospital, Gothenburg, Sweden.

出版信息

Magn Reson Med. 2018 Mar;79(3):1674-1683. doi: 10.1002/mrm.26783. Epub 2017 Jun 19.

DOI:10.1002/mrm.26783
PMID:28626964
Abstract

PURPOSE

Bayesian model fitting has been proposed as a robust alternative for intravoxel incoherent motion (IVIM) model-fitting parameter estimation. However, consensus regarding choice of prior distribution and posterior distribution central tendency measure is needed. The aim of this study was to compare the quality of IVIM parameter estimates produced by different prior distributions and central tendency measures, and to gain knowledge about the effect of these choices.

METHODS

Three prior distributions (uniform, reciprocal, and lognormal) and two measures of central tendency (mean and mode) found in the literature were studied using simulations and in vivo data from a tumor mouse model.

RESULTS

Simulations showed that the uniform and lognormal priors were superior to the reciprocal prior, especially for the parameters D and f and clinically relevant SNR levels. The choice of central tendency measure had less effect on the results, but had some effects on estimation bias. Results based on simulations and in vivo data agreed well, indicating high validity of the simulations.

CONCLUSIONS

Choice of prior distribution and central tendency measure affects the results of Bayesian IVIM parameter estimates. This must be considered when comparing results from different studies. The best overall quality of IVIM parameter estimates was obtained using the lognormal prior. Magn Reson Med 79:1674-1683, 2018. © 2017 International Society for Magnetic Resonance in Medicine.

摘要

目的

贝叶斯模型拟合已被提议作为一种替代 IVIM 模型拟合参数估计的稳健方法。然而,需要就先验分布和后验分布中心趋势度量的选择达成共识。本研究旨在比较不同先验分布和中心趋势度量产生的 IVIM 参数估计的质量,并了解这些选择的影响。

方法

使用模拟和肿瘤小鼠模型的体内数据研究了文献中发现的三种先验分布(均匀、倒数和对数正态)和两种中心趋势度量(均值和众数)。

结果

模拟表明,均匀和对数正态先验比倒数先验优越,特别是对于参数 D 和 f 以及临床相关的 SNR 水平。中心趋势度量的选择对结果的影响较小,但对估计偏差有一定影响。基于模拟和体内数据的结果非常吻合,表明模拟具有很高的有效性。

结论

先验分布和中心趋势度量的选择会影响贝叶斯 IVIM 参数估计的结果。在比较来自不同研究的结果时,必须考虑这一点。使用对数正态先验可以获得 IVIM 参数估计的最佳整体质量。磁共振医学 79:1674-1683, 2018. © 2017 国际磁共振学会。

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