Exact quantification of time signals from magnetic resonance spectroscopy by the fast Padé transform with applications to breast cancer diagnostics

Journal of Mathematical Chemistry ◽

10.1007/s10910-008-9462-8 ◽

2008 ◽

Vol 45 (3) ◽

pp. 790-818 ◽

Author(s):

Dževad Belkić ◽

Karen Belkić

Keyword(s):

Breast Cancer ◽

Magnetic Resonance ◽

Magnetic Resonance Spectroscopy ◽

Cancer Diagnostics ◽

Resonance Spectroscopy ◽

Fast Padé Transform ◽

Breast Cancer Diagnostics ◽

Time Signals ◽

Exact Quantification

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Proof-of-the-Concept Study on Mathematically Optimized Magnetic Resonance Spectroscopy for Breast Cancer Diagnostics

Technology in Cancer Research & Treatment ◽

10.1177/1533034614547446 ◽

2014 ◽

Vol 14 (3) ◽

pp. 277-297 ◽

Author(s):

Dževad Belkić ◽

Karen Belkić

Keyword(s):

Breast Cancer ◽

Magnetic Resonance ◽

Magnetic Resonance Spectroscopy ◽

Cancer Diagnostics ◽

Resonance Spectroscopy ◽

Concept Study ◽

Breast Cancer Diagnostics

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Fast Padé Transform for Exact Quantification of Time Signals in Magnetic Resonance Spectroscopy

Advances in Quantum Chemistry ◽

10.1016/s0065-3276(06)51005-6 ◽

2006 ◽

pp. 157-233 ◽

Author(s):

Dževad Belkić

Keyword(s):

Magnetic Resonance ◽

Magnetic Resonance Spectroscopy ◽

Resonance Spectroscopy ◽

Fast Padé Transform ◽

Time Signals ◽

Exact Quantification

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Mathematically-optimized magnetic resonance spectroscopy in breast cancer diagnostics: implications for personalized cancer medicine

Journal of Mathematical Chemistry ◽

10.1007/s10910-015-0556-9 ◽

2015 ◽

Vol 54 (1) ◽

pp. 186-230 ◽

Author(s):

Dževad Belkić ◽

Karen Belkić

Keyword(s):

Breast Cancer ◽

Magnetic Resonance ◽

Magnetic Resonance Spectroscopy ◽

Cancer Diagnostics ◽

Resonance Spectroscopy ◽

Breast Cancer Diagnostics ◽

Personalized Cancer Medicine ◽

Cancer Medicine ◽

Personalized Cancer

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The fast Padé transform in magnetic resonance spectroscopy for potential improvements in early cancer diagnostics

Physics in Medicine and Biology ◽

10.1088/0031-9155/50/18/010 ◽

2005 ◽

Vol 50 (18) ◽

pp. 4385-4408 ◽

Author(s):

Dževad Belkić ◽

Karen Belkić

Keyword(s):

Magnetic Resonance ◽

Magnetic Resonance Spectroscopy ◽

Early Cancer ◽

Cancer Diagnostics ◽

Resonance Spectroscopy ◽

Fast Padé Transform ◽

Early Cancer Diagnostics

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Exponential convergence rate (the spectral convergence) of the fast Padé transform for exact quantification in magnetic resonance spectroscopy

Physics in Medicine and Biology ◽

10.1088/0031-9155/51/24/014 ◽

2006 ◽

Vol 51 (24) ◽

pp. 6483-6512 ◽

Author(s):

Dževad Belkić

Keyword(s):

Magnetic Resonance ◽

Magnetic Resonance Spectroscopy ◽

Convergence Rate ◽

Exponential Convergence ◽

Resonance Spectroscopy ◽

Fast Padé Transform ◽

Exponential Convergence Rate ◽

Spectral Convergence ◽

Exact Quantification

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Abstract DP-001: KEY ACHIEVEMENT OF THE FAST PADE TRANSFORM IN MAGNETIC RESONANCE SPECTROSCOPY FOR EARLY OVARIAN CANCER DIAGNOSTICS

10.1158/1557-3265.ovcasymp18-dp-001 ◽

2019 ◽

Author(s):

Dzevad Belkic ◽

Karen Belkic

Keyword(s):

Ovarian Cancer ◽

Magnetic Resonance ◽

Magnetic Resonance Spectroscopy ◽

Cancer Diagnostics ◽

Resonance Spectroscopy ◽

Fast Padé Transform ◽

Ovarian Cancer Diagnostics ◽

Early Ovarian Cancer

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

Journal of Mathematical Chemistry ◽

10.1007/s10910-007-9337-4 ◽

2008 ◽

Vol 44 (3) ◽

pp. 884-912 ◽

Author(s):

Dževad Belkić ◽

Karen Belkić

Keyword(s):

Magnetic Resonance ◽

Magnetic Resonance Spectroscopy ◽

Clinical Relevance ◽

Cancer Diagnostics ◽

Resonance Spectroscopy ◽

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Fast Padé transform for optimal quantification of time signals from magnetic resonance spectroscopy

International Journal of Quantum Chemistry ◽

10.1002/qua.20825 ◽

2005 ◽

Vol 105 (5) ◽

pp. 493-510 ◽

Author(s):

Dževad Belkić ◽

Karen Belkić

Keyword(s):

Magnetic Resonance ◽

Magnetic Resonance Spectroscopy ◽

Resonance Spectroscopy ◽

Fast Padé Transform ◽

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In vivo magnetic resonance spectroscopy for ovarian cancer diagnostics: quantification by the fast Padé transform

Journal of Mathematical Chemistry ◽

10.1007/s10910-016-0694-8 ◽

2016 ◽

Vol 55 (1) ◽

pp. 349-405 ◽

Author(s):

Dževad Belkić ◽

Karen Belkić

Keyword(s):

Ovarian Cancer ◽

Magnetic Resonance ◽

Magnetic Resonance Spectroscopy ◽

Cancer Diagnostics ◽

Resonance Spectroscopy ◽

Fast Padé Transform ◽

Ovarian Cancer Diagnostics

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Resolution performance of the fast Padé transform: Potential advantages for magnetic resonance spectroscopy in ovarian cancer diagnostics

Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment ◽

10.1016/j.nima.2007.06.036 ◽

2007 ◽

Vol 580 (2) ◽

pp. 890-896 ◽

Author(s):

Karen Belkic

Keyword(s):

Ovarian Cancer ◽

Magnetic Resonance ◽

Magnetic Resonance Spectroscopy ◽

Cancer Diagnostics ◽

Resonance Spectroscopy ◽

Fast Padé Transform ◽

Ovarian Cancer Diagnostics

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