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为避免色谱信号的对齐,评估数据的核 Gram 矩阵表示。

Assessment of the Kernel Gram Matrix Representation of Data in Order to Avoid the Alignment of Chromatographic Signals.

机构信息

Institute of Chemistry, University of Silesia in Katowice, 9 Szkolna Street, 40-006 Katowice, Poland.

出版信息

Molecules. 2021 Jan 25;26(3):621. doi: 10.3390/molecules26030621.

DOI:10.3390/molecules26030621
PMID:33504096
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7865539/
Abstract

This article discusses the possibility of exploratory data analysis of samples described by second-order chromatographic data affected by peak shifts. In particular, the potential of the kernel Gram matrix representation as an alternative to the necessary and time-consuming alignment step is evaluated. It was demonstrated through several simulation studies and comparisons that even small peak shifts can be a substantial source of data variance, and they can easily hamper the interpretation of chromatographic data. When peak shifts are small, their negative effect is far more destructive than the impact of relatively large levels of the Gaussian noise, heteroscedastic noise, and signal's baseline. The Gram principal component analysis approach has proven to be a well-suited tool for exploratory analysis of chromatographic signals collected using the diode-array detector in which sample-to-sample peak shifts were observed.

摘要

本文讨论了对受峰位移影响的二阶色谱数据样本进行探索性数据分析的可能性。特别评估了核 Gram 矩阵表示作为必要且耗时的对齐步骤的替代方法的潜力。通过几项模拟研究和比较表明,即使是小的峰位移也可能是数据方差的主要来源,并且它们很容易阻碍色谱数据的解释。当峰位移较小时,其负面影响远比高斯噪声、异方差噪声和信号基线的相对较大水平的影响更为严重。Gram 主成分分析方法已被证明是一种非常适合的工具,可用于对使用二极管阵列检测器收集的色谱信号进行探索性分析,在这些信号中观察到了样品间的峰位移。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/2801bd9a1ea9/molecules-26-00621-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/261546a95dca/molecules-26-00621-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/4eef181bd110/molecules-26-00621-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/55ba2aa066cf/molecules-26-00621-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/d544f1577d07/molecules-26-00621-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/a1cef7ccb6ae/molecules-26-00621-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/4966948232da/molecules-26-00621-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/32e76c23972e/molecules-26-00621-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/83bc8996be02/molecules-26-00621-g008a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/6cfbc6af7c96/molecules-26-00621-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/2801bd9a1ea9/molecules-26-00621-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/261546a95dca/molecules-26-00621-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/4eef181bd110/molecules-26-00621-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/55ba2aa066cf/molecules-26-00621-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/d544f1577d07/molecules-26-00621-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/a1cef7ccb6ae/molecules-26-00621-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/4966948232da/molecules-26-00621-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/32e76c23972e/molecules-26-00621-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/83bc8996be02/molecules-26-00621-g008a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/6cfbc6af7c96/molecules-26-00621-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e65/7865539/2801bd9a1ea9/molecules-26-00621-g010.jpg

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本文引用的文献

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Multi-way chromatographic calibration-A review.多向色谱校准 - 综述。
J Chromatogr A. 2019 Feb 22;1587:2-13. doi: 10.1016/j.chroma.2019.01.012. Epub 2019 Jan 9.
2
Second-order advantage obtained from standard addition first-order instrumental data and multivariate curve resolution-alternating least squares. Calculation of the feasible bands of results.二阶优势可通过标准加入一阶仪器数据和多元曲线分辨-交替最小二乘法获得。结果可行带宽的计算。
Spectrochim Acta A Mol Biomol Spectrosc. 2014 Mar 25;122:721-30. doi: 10.1016/j.saa.2013.11.073. Epub 2013 Dec 5.
3
Matrix correlations for high-dimensional data: the modified RV-coefficient.
高维数据的矩阵相关性:修正的RV系数。
Bioinformatics. 2009 Feb 1;25(3):401-5. doi: 10.1093/bioinformatics/btn634. Epub 2008 Dec 10.
4
No-alignment-strategies for exploring a set of two-way data tables obtained from capillary electrophoresis-mass spectrometry.用于探索从毛细管电泳-质谱法获得的一组双向数据表的无对齐策略。
J Chromatogr A. 2008 May 23;1192(1):157-65. doi: 10.1016/j.chroma.2008.03.027. Epub 2008 Mar 15.
5
Target selection for alignment of chromatographic signals obtained using monochannel detectors.使用单通道检测器获得的色谱信号对齐的目标选择。
J Chromatogr A. 2007 Dec 28;1176(1-2):1-11. doi: 10.1016/j.chroma.2007.10.099. Epub 2007 Nov 6.