Overview

Uses the FPT to Solve the Quantification Problem in MRS An invaluable tool in non-invasive clinical oncology diagnostics Addressing the critical need in clinical oncology for robust and stable signal processing in magnetic resonance spectroscopy (MRS), Signal Processing in Magnetic Resonance Spectroscopy with Biomedical Applications explores cutting-edge theory-based innovations for obtaining reliable quantitative information from MR signals for cancer diagnostics. By defining the natural framework of signal processing using the well-established theory of quantum physics, the book illustrates how advances in signal processing can optimize MRS. The authors employ the fast Pade transform (FPT) as the unique polynomial quotient for the spectral analysis of MR time signals. They prove that residual spectra are necessary but not sufficient criteria to estimate the error invoked in quantification. Instead, they provide a more comprehensive strategy that monitors constancy of spectral parameters as one of the most reliable signatures of stability and robustness of quantification. The authors also use Froissart doublets to unequivocally distinguish between genuine and spurious resonances in both noise-free and noise-corrupted time signals, enabling the exact reconstruction of all the genuine spectral parameters. They show how the FPT resolves and quantifies tightly overlapped resonances that are abundantly seen in MR spectra generated using data from encoded time signals from the brain, breast, ovary, and prostate. Written by a mathematical physicist and a clinical scientist, this book captures the multidisciplinary nature of biomedicine. It examines the remarkable ability of the FPT to unambiguously quantify isolated, tightly overlapped, and nearly confluent resonances.

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9781439806449

Table of Contents

Reviews

a useful addition to the fields of both magnetic resonance (MR) as well as signal processing. ... immensely useful as a practical resource handbook to dip into from time to time and to find specific advice on issues faced during the course of work in MR techniques for cancer research. ... the best feature of this book is how it positions the very practical area of digital signal processing in the contextual framework of a much more esoteric and fundamental field-that of quantum mechanics. The direct link between quantum-mechanical spectral analysis and rational response functions and the general role of quantum mechanics in signal processing is beautifully brought out in Chapter 2. This chapter alone is worth the price of the book and will especially appeal to a multi-disciplinary audience comprising NMR spectroscopists, atomic and molecular physicists, and physicists who work in the foundations of quantum mechanics. -Kavita Dorai, Contemporary Physics, January 2013

"""a useful addition to the fields of both magnetic resonance (MR) as well as signal processing. ... immensely useful as a practical resource handbook to dip into from time to time and to find specific advice on issues faced during the course of work in MR techniques for cancer research. ... the best feature of this book is how it positions the very practical area of digital signal processing in the contextual framework of a much more esoteric and fundamental field-that of quantum mechanics. The direct link between quantum-mechanical spectral analysis and rational response functions and the general role of quantum mechanics in signal processing is beautifully brought out in Chapter 2. This chapter alone is worth the price of the book and will especially appeal to a multi-disciplinary audience comprising NMR spectroscopists, atomic and molecular physicists, and physicists who work in the foundations of quantum mechanics."" -Kavita Dorai, Contemporary Physics, January 2013"

Author Information

DA evad BelkiAa is a professor of mathematical radiation physics at the Karolinska Institute in Stockholm, Sweden. Dr. BelkiAa's current research activities encompass atomic collision physics, radiation physics, radiobiology, magnetic resonance physics and mathematical physics. Karen BelkiAa is a physician specialist in internal medicine, adjunct professor of preventive medicine at the Keck School of Medicine of the University of Southern California in Los Angeles, and senior scientist in the oncology and pathology department at the Karolinska Institute in Stockholm, Sweden.

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