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基于一般线性模型的fMRI回归量正交化

戴和谱,刘刚,何妍妍   

  1. 上海电力学院
  • 收稿日期:2016-11-25 修回日期:2016-12-22 发布日期:2016-12-22
  • 通讯作者: 戴和谱

Orthogonalization of regressors in fMRI based on GLM

  • Received:2016-11-25 Revised:2016-12-22 Online:2016-12-22

摘要: 针对功能磁共振成像(functional Magnetic Resonance Imaging, fMRI)模型回归量之间存在共线性的问题,提出了一种正交化的方法。首先,确定感兴趣以及待正交的回归量;其次,从待正交回归量中减去与感兴趣回归量相关的部分,使模型中共线的回归量正交分解为相互独立的部分,以此来消除共线性的影响。此外,还讨论和分析了正交化对一般线性模型的影响。最后,分别使用一些合成数据和当前一个流行的fMRI数据分析软件包FSL(FMRIB Software Library)进行实验。实验结果表明正交化可以消除模型中的共线性,并且提高感兴趣回归量的显著性,从而实现准确的脑功能定位,对脑的基础研究和临床治疗具有重要意义。

关键词: 功能磁共振成像, 共线性, 一般线性模型, 正交化, FSL软件包

Abstract: Concernning the collinearity between the regressors in functional Magnetic Resonance Imaging(fMRI) model, a method of orthogonalization was proposed. Firstly, the interest regressor and the regressor to be orthogonalised are determined. Then, the related part is removed from the latter, and the collinear regressors are decomposed into independent part, so as to eliminate the effect of collinearity. The influence of orthogonalization on GLM is also discussed and analysed. Finally, experiments are carried out through some synthetic data and a current popular fMRI data analysis software package, FSL. The experimental results show that orthogonalization can eliminate the collinearity in the model and improve the significance of the interest regressor to achieve accurate functional localization, which is of great significance for the basic research and clinical treatment of the brain.

Key words: functional Magnetic Resonance Imaging(fMRI), collinearity, General Linear Model(GLM), orthogonalization, FSL(FMRFMRIB Software Library)

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