On including nonlinearity in multivariate analysis of imaging SIMS data
On including nonlinearity in multivariate analysis of imaging SIMS data
复制标题
将非线性纳入成像 SIMS 数据的多变量分析
DOI：
10.1002/sia.5653
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发表时间：
2014
影响因子：
1.7
通讯作者：
Amy V. Walker
中科院分区：
文献类型：
--
作者：
L. Gelb;Tammy M. Milillo;Amy V. Walker
我们目前的进展，对使用非线性模型在多变量分析的成像质谱数据。具体来说，我们认为在每个质量和位置的离子强度作为一个非线性函数的所有物种的浓度存在。通过扩展这个函数的泰勒级数，我们都恢复了标准双线性分析中质谱的精确含义，并引入了新的描述基质效应的“相关谱”。一些基本结果的行为所产生的模型（二阶）。还进行了由已知非线性的合成数据集的分析组成的数值演示，这表明在合理的条件下，这些想法的应用在计算上是易于处理的。版权所有© 2014约翰威利父子有限公司.
We present progress toward the use of nonlinear models in multivariate analysis of imaging mass spectrometry data. Specifically, we consider the ion intensity at each mass and position as a nonlinear function of the concentrations of all species present. By expanding this function in a Taylor series, we both recover the precise meaning of the mass spectrum in standard bilinear analyses and introduce new ‘correlation spectra’ that describe matrix effects. Some fundamental results concerning the behavior of the resulting model (to second order) are presented. A numerical demonstration consisting of the analysis of synthetic data sets with known nonlinearity is also performed, which shows that the application of these ideas is computationally tractable under reasonable conditions. Copyright © 2014 John Wiley & Sons, Ltd.
影响因子：
4.4
作者：
Hanselmann, Michael;Kothe, Ullrich;Kirchner, Marc;Renard, Bernhard Y.;Amstalden, Erika R.;Glunde, Kristine;Heeren, Ron M. A.;Hamprecht, Fred A.
通讯作者：
Hamprecht, Fred A.