Challenges in the decomposition of 2D NMR spectra of mixtures of small molecules

Afef Cherni (1) , Elena Piersanti (2) , Sandrine Anthoine (1) , Caroline Chaux (1) , Laetitia Shintu (2) , Mehdi Yemloul (2) , Bruno Torrésani (1)

1 I2M - Institut de Mathématiques de Marseille
2 ISM2 - Institut des Sciences Moléculaires de Marseille

Analytical methods for mixtures of small molecules requires specificity (is a certain molecule present in the mix?) and speciation capabilities. NMR has been a tool of choice for both of these issues since its early days, due to its quantitative (linear) response, sufficiently high resolving power and capabilities of inferring molecular structures from spectral features (even in the absence of a reference database). However, the analytical performances of NMR are being stretched by the increased complexity of the sample at hands, the dynamic range of the components , and the need of a reasonable turnover time. One approach that has been actively pursued for disentangling the composition complexity is the use of 2D NMR spectroscopy. While any of the many experiments from this family will increase the spectral resolution, some are more apt for mixtures, as they are capable to unveil signals belonging to whole molecules or fragments of it. Among the most popular ones one can enumerate HSQC-TOCSY , DOSY and Maximum-Quantum (MaxQ) NMR. For multicomponent samples, the development of robust mathematical methods of signal decomposition would provide a clear edge towards identification. We have been pursuing, along these lines, Blind Source Separation (BSS). Here, the un-mixing of the spectra is achieved relying on correlations detected on a series of datasets. The series could be associated to samples of different relative composition or in a classically acquired 2D experiment by the mathematical laws underlying the construction of the indirect dimension, the one not recorded by the spectrometer. Many algorithms have been proposed for BSS in NMR since the seminal work of Nuzillard. In this paper, we use rather standard algorithms in BSS in order to disentangle NMR spectra. We show on simulated data (both 1D and 2D HSQC) that these approaches enable to disentangle accurately multiple components, and provide good estimates for concentrations of compounds. Furthermore, we show that after proper realignment of the signals, the same algorithms are able to disentangle real 1D NMR spectra. We obtain similar results on 2D HSQC spectra, where BSS algorithms are able to disentangle successfully components, and provide even better estimates for concentrations.

Domaines: Traitement du signal et de l'image [eess.SP]; Chimie analytique

Afef Cherni, Elena Piersanti, Sandrine Anthoine, Caroline Chaux, Laetitia Shintu, et al.. Challenges in the decomposition of 2D NMR spectra of mixtures of small molecules. Faraday Discussions, 2019, 218, pp.459-480. ⟨10.1039/C9FD00014C⟩. ⟨hal-02146311⟩