Unequivocal disentangling genuine from spurious information in time signals: clinical relevance in cancer diagnostics through magnetic resonance spectroscopy

DOI10.1007/s10910-007-9337-4zbMath1217.94027OpenAlexW2051063752MaRDI QIDQ552033

Karen Belkić, Dževad Belkić

Publication date: 21 July 2011

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

Full work available at URL: https://doi.org/10.1007/s10910-007-9337-4

zbMATH Keywords

Padé approximantfast Padé transformmagnetic resonance spectroscopyFroissart doubletscancer diagnosticspole-zero cancellations

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Application of orthogonal and other special functions (94A11)

Related Items (12)

The fast Padé transform for noisy magnetic resonance spectroscopic data from the prostate: potential contribution to individualized prostate cancer care ⋮ Mathematically-optimized magnetic resonance spectroscopy in breast cancer diagnostics: implications for personalized cancer medicine ⋮ Quantification by the fast Padé transform of magnetic resonance spectroscopic data encoded at 1.5 T: implications for brain tumor diagnostics ⋮ Improving the diagnostic yield of magnetic resonance spectroscopy for pediatric brain tumors through mathematical optimization ⋮ Magnetic resonance spectroscopy with high-resolution and exact quantification in the presence of noise for improving ovarian cancer detection ⋮ A meta-analysis of studies using MR spectroscopy for evaluating suspicious lesions after radiation therapy of primary brain tumors ⋮ Review of recent applications of the conventional and derivative fast Padé transform for magnetic resonance spectroscopy ⋮ Iterative averaging of spectra as a powerful way of suppressing spurious resonances in signal processing ⋮ The general concept of signal-noise separation (SNS): mathematical aspects and implementation in magnetic resonance spectroscopy ⋮ Exact quantification of time signals from magnetic resonance spectroscopy by the fast Padé transform with applications to breast cancer diagnostics ⋮ Unequivocal resolution of multiplets in MR spectra for prostate cancer diagnostics achieved by the fast Padé transform ⋮ Automatic self-correcting in signal processing for magnetic resonance spectroscopy: noise reduction, resolution improvement and splitting overlapped peaks

Cites Work

• Mathematical optimization of in vivo NMR chemistry through the fast Padé transform: Potential relevance for early breast cancer detection by magnetic resonance spectroscopy
• Mathematical modeling of an NMR chemistry problem in ovarian cancer diagnostics
• The general concept of signal-noise separation (SNS): mathematical aspects and implementation in magnetic resonance spectroscopy
• Decisive role of mathematical methods in early cancer diagnostics: optimized Padé-based magnetic resonance spectroscopy
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