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Complex numbers in chemometrics: Examples from multivariate impedance measurements on lipid monolayers
Umeå University, Faculty of Science and Technology, Chemistry.
2007 (English)In: Analytica Chimica Acta, Vol. 595, no 1-2, 152-9 p.Article in journal (Refereed) Published
Abstract [en]

Electrical impedance gives multivariate complex number data as results. Two examples of multivariate electrical impedance data measured on lipid monolayers in different solutions give rise to matrices (16 × 50 and 38 × 50) of complex numbers. Multivariate data analysis by principal component analysis (PCA) or singular value decomposition (SVD) can be used for complex data and the necessary equations are given. The scores and loadings obtained are vectors of complex numbers. It is shown that the complex number PCA and SVD are better at concentrating information in a few components than the naïve juxtaposition method and that Argand diagrams can replace score and loading plots. Different concentrations of Magainin and Gramicidin A give different responses and also the role of the electrolyte medium can be studied. An interaction of Gramicidin A in the solution with the monolayer over time can be observed.

Place, publisher, year, edition, pages
2007. Vol. 595, no 1-2, 152-9 p.
Keyword [en]
Complex number linear algebra, Monomolecular lipid layers, Multivariate electrical impedance, Magainin, Gramicidin A, Dioleoyl phophatidylcholine
Identifiers
URN: urn:nbn:se:umu:diva-16010DOI: doi:10.1016/j.aca.2007.01.037OAI: oai:DiVA.org:umu-16010DiVA: diva2:155683
Note
Papers presented at the 10th International Conference on Chemometrics in Analytical Chemistry - CAC 2006Available from: 2007-08-10 Created: 2007-08-10 Last updated: 2011-01-11Bibliographically approved

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