Pairwise alignment of chromatograms using an extended Fisher-Rao metric.

A conceptually new approach for aligning chromatograms is introduced and applied to examples of metabolite identification in human blood plasma by liquid chromatography-mass spectrometry (LC-MS). A square-root representation of the chromatogram's derivative coupled with an extended Fisher-Rao metric enables the computation of relative differences between chromatograms. Minimization of these differences using a common dynamic programming algorithm brings the chromatograms into alignment. Application to a complex sample, National Institute of Standards and Technology (NIST) Standard Reference Material 1950, Metabolites in Human Plasma, analyzed by two different LC-MS methods having significantly different ranges of elution time is described.