The fast Padé transform for noisy magnetic resonance spectroscopic data from the prostate: potential contribution to individualized prostate cancer care

DOI10.1007/s10910-015-0586-3zbMath1356.92048OpenAlexW2271921115MaRDI QIDQ282178

Dževad Belkić, Karen Belkić

Publication date: 12 May 2016

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

Full work available at URL: https://doi.org/10.1007/s10910-015-0586-3

zbMATH Keywords

prostate cancerfast Padé transformmagnetic resonance spectroscopymathematical optimizationpersonalized cancer medicine

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Medical applications (general) (92C50) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (9)

Synergism of spectra averaging and extrapolation for quantification of in vivo MRS time signals encoded from the ovary ⋮ Visualizing hidden components of envelopes non-parametrically in magnetic resonance spectroscopy: phosphocholine, a breast cancer biomarker ⋮ Review of recent applications of the conventional and derivative fast Padé transform for magnetic resonance spectroscopy ⋮ Robust identification of the cancer biomarker phosphocholine through partitioned envelopes in noisy magnetic resonance spectroscopic data by the non-parametric fast Padé transform ⋮ Exact quantification by the nonparametric fast Padé transform using only shape estimation of high-order derivatives of envelopes ⋮ Explicit extraction of absorption peak positions, widths and heights using higher order derivatives of total shape spectra by nonparametric processing of time signals as complex damped multi-exponentials ⋮ 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 ⋮ Automatic self-correcting in signal processing for magnetic resonance spectroscopy: noise reduction, resolution improvement and splitting overlapped peaks

Cites Work

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• 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
• Padé optimization of noise-corrupted magnetic resonance spectroscopic time signals from fibroadenoma of the breast
• Unequivocal disentangling genuine from spurious information in time signals: clinical relevance in cancer diagnostics through magnetic resonance spectroscopy
• The potential for practical improvements in cancer diagnostics by mathematically-optimized magnetic resonance spectroscopy
• 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
• Magnetic resonance spectroscopy with high-resolution and exact quantification in the presence of noise for improving ovarian cancer detection
• 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
• Resolution enhancement as a key step towards clinical implementation of Padé-optimized magnetic resonance spectroscopy for diagnostic oncology

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