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使用洛伦兹线型对体内氢谱进行定量分析。

Use of Voigt lineshape for quantification of in vivo 1H spectra.

作者信息

Marshall I, Higinbotham J, Bruce S, Freise A

机构信息

Department of Medical Physics and Medical Engineering, University of Edinburgh, United Kingdom.

出版信息

Magn Reson Med. 1997 May;37(5):651-7. doi: 10.1002/mrm.1910370504.

Abstract

Quantification of NMR visible metabolites by spectral modeling usually assumes a Lorentzian or Gaussian lineshape, despite the fact that experimental lineshapes are neither. To minimize systematic fitting errors, a mixed Lorentzian-Gaussian (Voigt) lineshape model was developed. When tested with synthetic FIDs, the Voigt lineshape model gave more accurate results (maximum error 2%) than either Lorentzian (maximum error 20%) or Gaussian models (maximum error 12%). The three lineshape models gave substantially different peak areas in an in vitro experiment, with the Voigt model having a much lower chi2 (2.1 compared with 5.2 for the Lorentzian model and 6.2 for the Gaussian model). In a group of 10 healthy volunteers, fitting of 1H spectra from cerebral white matter gave significantly different peak areas between the methods. Even when area ratios were taken, the Lorentzian model gave higher values (+5% for NAA/choline and +2% for NAA/creatine) than the Voigt lineshape model, whereas the Gaussian model gave lower values (-2% and -1%, respectively).

摘要

通过光谱建模对核磁共振可见代谢物进行定量分析时,通常假定其线形为洛伦兹或高斯线形,尽管实验得到的线形并非如此。为了尽量减少系统拟合误差,开发了一种混合洛伦兹 - 高斯(沃伊特)线形模型。当用合成自由感应衰减信号进行测试时,沃伊特线形模型给出的结果比洛伦兹模型(最大误差20%)或高斯模型(最大误差12%)更准确(最大误差2%)。在一项体外实验中,这三种线形模型给出的峰面积有很大差异,沃伊特模型的卡方值低得多(为2.1,而洛伦兹模型为5.2,高斯模型为6.2)。在一组10名健康志愿者中,对脑白质的氢谱进行拟合时,不同方法得到的峰面积有显著差异。即使采用面积比,洛伦兹模型得到的值仍高于沃伊特线形模型(NAA/胆碱高5%,NAA/肌酸高2%),而高斯模型得到的值则较低(分别低2%和1%)。

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