\textit{In vivo} derivative NMR spectroscopy for simultaneous improvements of resolution and signal-to-noise-ratio: case study, glioma

DOI10.1007/s10910-021-01280-0zbMath1476.81164OpenAlexW3195312143MaRDI QIDQ2230717

Karen Belkić, Dževad Belkić

Publication date: 28 September 2021

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-021-01280-0

zbMATH Keywords

fast Fourier transformfast Padé transformNMR spectroscopyderivative estimations

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Nuclear physics (81V35) Biomedical imaging and signal processing (92C55) Signal detection and filtering (aspects of stochastic processes) (60G35) Padé approximation (41A21) Quantum optics (81V80) Numerical methods for discrete and fast Fourier transforms (65T50) Molecular physics (81V55) Resonance in context of PDEs (35B34) Mono-, di- and multipole moments (EM and other), gyromagnetic relations (81V60)

Related Items (8)

In vitro proton magnetic resonance spectroscopy at 14\,T for benign and malignant ovary. II: Signal processing by the parametric fast Padé transform ⋮ Derivative shape estimations with resolved overlapped peaks and reduced noise for time signals encoded by NMR spectroscopy with and without water suppression ⋮ Optimized derivative fast Fourier transform with high resolution and low noise from encoded time signals: ovarian NMR spectroscopy ⋮ Inverse problem for reconstruction of components from derivative envelope in ovarian MRS: citrate quartet as a cancer biomarker with considerably decreased levels in malignant vs benign samples ⋮ Iterative averaging of spectra as a powerful way of suppressing spurious resonances in signal processing ⋮ In vivo magnetic resonance spectroscopy for ovarian cancer diagnostics: quantification by the fast Padé transform ⋮ High-resolution at 3\,T for in vivo derivative NMR spectroscopy in medical diagnostics of ovarian tumor: exact quantification by shape estimations ⋮ In vitro proton magnetic resonance spectroscopy at 14T for benign and malignant ovary. I: Signal processing by the nonparametric fast Padé transform

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