The chemometric resolution and quantification of overlapped peaks form comprehensive two-dimensional liquid chromatography.

The chemometric resolution and quantification of overlapped peaks from comprehensive two-dimensional (2D) liquid chromatography (LCxLC) data are demonstrated. The LCxLC data is produced from an in-house LCxLC analyzer that couples an anion-exchange column via a multi-port valve with a reversed-phase column connected to a UV absorbance detector. Three test mixtures, each containing a target analyte, are subjected to partial LCxLC separations to simulate likely cases of signal overlap. The resulting unresolved target-analyte signals are then analyzed by the standard-addition method and two chemometric methods. The LCxLC analyses of a test mixture and its corresponding standard-addition mixture results in two data matrices, one for each mixture. The stacking of these two data matrices produces a data structure that can then be analyzed by trilinear chemometric methods. One method, the generalized rank annihilation method (GRAM), uses a non-iterative eigenvalue-based approach to mathematically resolve overlapped trilinear signals. The other method, parallel factor analysis (PARAFAC), uses an iterative approach to resolve trilinear signals by the optimization of initial estimates using alternating least squares and signal constraints. In this paper, GRAM followed by PARAFAC analysis is shown to produce better qualitative and quantitative results than using each method separately. For instance, for all three test mixtures, the GRAM-PARAFAC approach improved quantitative accuracy by at least a factor of 4 and quantitative precision by more than 2 when compared to GRAM alone. This paper also introduces a new means of correcting run-to-run retention time shifts in comprehensive 2D chromatographic data.

[1]  Klaas Faber,et al.  Critical evaluation of two F-tests for selecting the number of factors in abstract factor analysis , 1997 .

[2]  J. Foley,et al.  Effect of Sampling Rate on Resolution in Comprehensive Two-Dimensional Liquid Chromatography , 1998 .

[3]  R. A. Shalliker,et al.  Comprehensive coupled reversed-phase reversed-phase separations of a complex isomeric mixture. , 2003, The Analyst.

[4]  Rasmus Bro,et al.  The N-way Toolbox for MATLAB , 2000 .

[5]  G. Kateman,et al.  ASPECTS OF PSEUDORANK ESTIMATION METHODS BASED ON AN ESTIMATE OF THE SIZE OF THE MEASUREMENT ERROR , 1994 .

[6]  T. Murahashi Comprehensive two-dimensional high-performance liquid chromatography for the separation of polycyclic aromatic hydrocarbons. , 2003, The Analyst.

[7]  Luigi Mondello,et al.  Comprehensive two-dimensional normal-phase (adsorption)-reversed-phase liquid chromatography. , 2004, Analytical chemistry.

[8]  J. Jorgenson,et al.  Automated instrumentation for comprehensive two-dimensional high-performance liquid chromatography of proteins. , 1990, Analytical chemistry.

[9]  R. Bro PARAFAC. Tutorial and applications , 1997 .

[10]  R. Anderegg,et al.  Two-dimensional microcolumn HPLC coupled to a single-quadrupole mass spectrometer for the elucidation of sequence tags and peptide mapping† , 1998 .

[11]  Sarah C. Rutan,et al.  Effects of resolution, peak ratio and sampling frequency in diode-array fluorescence detection in liquid chromatography , 1993 .

[12]  Gerrit Kateman,et al.  Aspects of pseudorank estimation methods based on the eigenvalues of principal component analysis of random matrices , 1994 .

[13]  D. Massart,et al.  Comparison between the direct trilinear decomposition and the multivariate curve resolution-alternating least squares methods for the resolution of three-way data sets , 1998 .

[14]  Bruce R. Kowalski,et al.  Standardization of Second-Order Chromatographic/Spectroscopic Data for Optimum Chemical Analysis , 1998 .

[15]  T. Welsch,et al.  Coupling of a microbore column with a column packed with non-porous particles for fast comprehensive two-dimensional high-performance liquid chromatography , 1999 .

[16]  E. R. Malinowski,et al.  Rank Annihilation Factor Analysis of Unresolved LC Peaks , 1983 .

[17]  J. Jorgenson,et al.  Characterization of a comprehensive two-dimensional anion exchange-perfusive reversed phase liquid chromatography system for improved separations of peptides , 2000 .

[18]  R. Synovec,et al.  Two-dimensional gas chromatography and trilinear partial least squares for the quantitative analysis of aromatic and naphthene content in naphtha. , 2001, Analytical chemistry.

[19]  R. Anderegg,et al.  Two-dimensional SEC/RPLC coupled to mass spectrometry for the analysis of peptides. , 1997, Analytical chemistry.

[20]  R. Synovec,et al.  Multivariate selectivity as a metric for evaluating comprehensive two-dimensional gas chromatography-time-of-flight mass spectrometry subjected to chemometric peak deconvolution. , 2004, Journal of chromatography. A.

[21]  Edmund R. Malinowski,et al.  Factor Analysis in Chemistry , 1980 .

[22]  R. Synovec,et al.  Trilinear chemometric analysis of two-dimensional comprehensive gas chromatography-time-of-flight mass spectrometry data. , 2004, Journal of chromatography. A.

[23]  Robert E. Synovec,et al.  Comprehensive Two-Dimensional High-Speed Gas Chromatography with Chemometric Analysis , 1998 .

[24]  J. Hamilton,et al.  Generalized rank annihilation method using similarity transformations. , 1992, Analytical chemistry.

[25]  Gerrit Kateman,et al.  Generalized rank annihilation method. I: Derivation of eigenvalue problems , 1994 .

[26]  G. Opiteck,et al.  Comprehensive two-dimensional high-performance liquid chromatography for the isolation of overexpressed proteins and proteome mapping. , 1998, Analytical biochemistry.

[27]  P. Schoenmakers,et al.  Comprehensive two-dimensional liquid chromatography of polymers. , 2003, Journal of chromatography. A.

[28]  Bruce R. Kowalski,et al.  An improved algorithm for the generalized rank annihilation method , 1989 .

[29]  R. Anderegg,et al.  Comprehensive on-line LC/LC/MS of proteins. , 1997, Analytical chemistry.

[30]  Fraga,et al.  Comprehensive two-dimensional gas chromatography and chemometrics for the high-speed quantitative analysis of aromatic isomers in a jet fuel using the standard addition method and an objective retention time alignment algorithm , 2000, Analytical chemistry.

[31]  C. Fraga,et al.  Chemometric approach for the resolution and quantification of unresolved peaks in gas chromatography--selected-ion mass spectrometry data. , 2003, Journal of chromatography. A.

[32]  Bruce R. Kowalski,et al.  Enhanced Chemical Analysis Using Parallel Column Gas Chromatography with Single-Detector Time-of-Flight Mass Spectrometry and Chemometric Analysis , 1999 .

[33]  R. Synovec,et al.  Objective data alignment and chemometric analysis of comprehensive two-dimensional separations with run-to-run peak shifting on both dimensions. , 2001, Analytical chemistry.

[34]  R. A. Shalliker,et al.  Comprehensive two-dimensional separations of complex mixtures using reversed-phase reversed-phase liquid chromatography. , 2004, Journal of chromatography. A.

[35]  Bruce R. Kowalski,et al.  Second-order chemometric standardization for high-speed hyphenated gas chromatography: Analysis of GC/MS and comprehensive GCGC data , 1999 .

[36]  Kevin J Johnson,et al.  Quantification of naphthalenes in jet fuel with GC x GC/Tri-PLS and windowed rank minimization retention time alignment. , 2004, Journal of separation science.

[37]  Kevin J. Johnson,et al.  Pattern recognition of jet fuels: comprehensive GC×GC with ANOVA-based feature selection and principal component analysis , 2002 .

[38]  J. Taylor An Introduction to Error Analysis , 1982 .

[39]  Bruce R. Kowalski,et al.  Generalized rank annihilation factor analysis , 1986 .

[40]  R. Bischoff,et al.  Protein mapping by two-dimensional high performance liquid chromatography. , 2000, Journal of chromatography. A.

[41]  Robert E. Synovec,et al.  Enhancing the limit of detection for comprehensive two-dimensional gas chromatography (GC × GC) using bilinear chemometric analysis , 2000 .

[42]  R. Bro,et al.  A new efficient method for determining the number of components in PARAFAC models , 2003 .

[43]  J. Jorgenson,et al.  Separation of nanoliter samples of biological amines by a comprehensive two-dimensional microcolumn liquid chromatography system. , 1995, Analytical chemistry.

[44]  Enric Comas,et al.  Quantification from highly drifted and overlapped chromatographic peaks using second-order calibration methods. , 2004, Journal of chromatography. A.

[45]  Bruce R. Kowalski,et al.  Generalized rank annihilation method , 1987 .

[46]  J. Jorgenson,et al.  Comprehensive three-dimensional separation of peptides using size exclusion chromatography/reversed phase liquid chromatography/optically gated capillary zone electrophoresis. , 1995, Analytical chemistry.

[47]  Ben C. Mitchell,et al.  An empirical comparison of resolution methods for three-way arrays , 1993 .

[48]  H. Zou,et al.  Separation and identification of compounds in Rhizoma chuanxiong by comprehensive two-dimensional liquid chromatography coupled to mass spectrometry. , 2004, Journal of chromatography. A.

[49]  Rasmus Bro,et al.  Recent developments in CANDECOMP/PARAFAC algorithms: a critical review , 2003 .