The Physics and Mathematics of MRI

The Physics and Mathematics of MRI PDF Author: Richard Ansorge
Publisher: Morgan & Claypool Publishers
ISBN: 1681740680
Category : Technology & Engineering
Languages : en
Pages : 188

Get Book Here

Book Description
Magnetic Resonance Imaging is a very important clinical imaging tool. It combines different fields of physics and engineering in a uniquely complex way. MRI is also surprisingly versatile, 'pulse sequences' can be designed to yield many different types of contrast. This versatility is unique to MRI. This short book gives both an in depth account of the methods used for the operation and construction of modern MRI systems and also the principles of sequence design and many examples of applications. An important additional feature of this book is the detailed discussion of the mathematical principles used in building optimal MRI systems and for sequence design. The mathematical discussion is very suitable for undergraduates attending medical physics courses. It is also more complete than usually found in alternative books for physical scientists or more clinically orientated works.

The Physics and Mathematics of MRI

The Physics and Mathematics of MRI PDF Author: Richard Ansorge
Publisher: Morgan & Claypool Publishers
ISBN: 1681740680
Category : Technology & Engineering
Languages : en
Pages : 188

Get Book Here

Book Description
Magnetic Resonance Imaging is a very important clinical imaging tool. It combines different fields of physics and engineering in a uniquely complex way. MRI is also surprisingly versatile, 'pulse sequences' can be designed to yield many different types of contrast. This versatility is unique to MRI. This short book gives both an in depth account of the methods used for the operation and construction of modern MRI systems and also the principles of sequence design and many examples of applications. An important additional feature of this book is the detailed discussion of the mathematical principles used in building optimal MRI systems and for sequence design. The mathematical discussion is very suitable for undergraduates attending medical physics courses. It is also more complete than usually found in alternative books for physical scientists or more clinically orientated works.

MRI Physics for Radiologists

MRI Physics for Radiologists PDF Author: Alfred L. Horowitz
Publisher: Springer Science & Business Media
ISBN: 1461207851
Category : Medical
Languages : en
Pages : 209

Get Book Here

Book Description
MRI Physics for Radiologsits: A Visual Approach, Third Edition delineates the principles of magnetic resonance imaging in a format that can be understood by readers who do not have a sophisticated physics or mathematics background. It is organized in three sections: sections one and two present the contrast and spatial characteristics of the image; section three deals with topics such as Half Fourier imaging, motion, aliasing, artifacts, and coils. The third edition has sections on new techniques now in common use, such as rectangular field of view and fast spin-echo (or echo-planar) sequences, a chapter on the effect of MR equipment parameters on image resolution, a chapter with a simplified mathematical discussion of the Fourier transform and an enhanced section on magnetic resonance angiography.

Fundamentals of MRI

Fundamentals of MRI PDF Author: Elizabeth Berry
Publisher: CRC Press
ISBN: 1584889020
Category : Medical
Languages : en
Pages : 318

Get Book Here

Book Description
Fundamentals of MRI: An Interactive Learning Approach explores the physical principles that underpin the technique of magnetic resonance imaging (MRI). After covering background mathematics, physics, and digital imaging, the book presents fundamental physical principles, including magnetization and rotating reference frame. It describes how relaxation mechanisms help predict tissue contrast and how an MR signal is localized to a selected slice through the body. The text then focuses on frequency and phase encoding. It also explores the spin-echo sequence, its scan parameters, and additional imaging sequences, such as inversion recovery and gradient echo. The authors enhance the learning experience with practical materials. Along with questions, exercises, and solutions, they include ten interactive programs on the accompanying downloadable resources. These programs not only allow concepts to be clearly demonstrated and further developed, but also provide an opportunity to engage in the learning process through guided exercises. By providing a solid, hands-on foundation in the physics of MRI, this textbook helps students gain confidence with core concepts before they move on to further study or practical training.

Magnetic Resonance Imaging

Magnetic Resonance Imaging PDF Author: Walter Johannes Schempp
Publisher: Wiley-Liss
ISBN: 9780471167365
Category : Medical
Languages : en
Pages : 288

Get Book Here

Book Description
MAGNETIC RESONANCE IMAGING Mathematical Foundations and Applications By Walter J. Schempp As magnetic resonance imaging (MRI) continues to transform medical diagnostics and the study of the brain, the necessity for a more precise description of this important clinical tool is increasingly evident. A mathematical understanding of MRI and the related imaging modalities of functional MRI and NMR spectroscopy can greatly improve many scientific and medical endeavors, from the quality of scans in the tomographic slices and their semantic interpretations to minimally invasive neurosurgery and research in cognitive neuroscience. Magnetic Resonance Imaging advances a coherent mathematical theory of MRI and presents for the first time a real-world application of non-commutative Fourier analysis. Emphasizing the interdisciplinary nature of clinical MRI, this book offers an intriguing look at the geometric principles underlying the quantum phenomena of biomedical research. Author Walter J. Schempp, widely respected among mathematicians and neuro-network scientists alike, includes in this lucid, readable text: * The historical and phenomenological aspects of NMR spectroscopy and clinical MRI * A mathematical approach to the structure-function problem in clinical MRI * Detailed descriptions of applications to medical diagnostics * Photographs illustrating the superior contrast and spatial resolution achieved by MRI * An extensive list of references. Magnetic Resonance Imaging introduces clinical and mathematical concepts gradually and deliberately, making the complex procedure of MRI accessible to professionals in all areas of neuroscience and neurology, as well as those in mathematics, engineering, radiology, and physics.

Magnetic Resonance Imaging

Magnetic Resonance Imaging PDF Author: Robert W. Brown
Publisher: John Wiley & Sons
ISBN: 0471720852
Category : Medical
Languages : en
Pages : 976

Get Book Here

Book Description
New edition explores contemporary MRI principles and practices Thoroughly revised, updated and expanded, the second edition of Magnetic Resonance Imaging: Physical Principles and Sequence Design remains the preeminent text in its field. Using consistent nomenclature and mathematical notations throughout all the chapters, this new edition carefully explains the physical principles of magnetic resonance imaging design and implementation. In addition, detailed figures and MR images enable readers to better grasp core concepts, methods, and applications. Magnetic Resonance Imaging, Second Edition begins with an introduction to fundamental principles, with coverage of magnetization, relaxation, quantum mechanics, signal detection and acquisition, Fourier imaging, image reconstruction, contrast, signal, and noise. The second part of the text explores MRI methods and applications, including fast imaging, water-fat separation, steady state gradient echo imaging, echo planar imaging, diffusion-weighted imaging, and induced magnetism. Lastly, the text discusses important hardware issues and parallel imaging. Readers familiar with the first edition will find much new material, including: New chapter dedicated to parallel imaging New sections examining off-resonance excitation principles, contrast optimization in fast steady-state incoherent imaging, and efficient lower-dimension analogues for discrete Fourier transforms in echo planar imaging applications Enhanced sections pertaining to Fourier transforms, filter effects on image resolution, and Bloch equation solutions when both rf pulse and slice select gradient fields are present Valuable improvements throughout with respect to equations, formulas, and text New and updated problems to test further the readers' grasp of core concepts Three appendices at the end of the text offer review material for basic electromagnetism and statistics as well as a list of acquisition parameters for the images in the book. Acclaimed by both students and instructors, the second edition of Magnetic Resonance Imaging offers the most comprehensive and approachable introduction to the physics and the applications of magnetic resonance imaging.

MRI Made Easy

MRI Made Easy PDF Author: Hans H. Schild
Publisher:
ISBN: 9783000384417
Category :
Languages : en
Pages : 101

Get Book Here

Book Description


Fundamental Mathematics and Physics of Medical Imaging

Fundamental Mathematics and Physics of Medical Imaging PDF Author: Jack Lancaster
Publisher: CRC Press
ISBN: 1498751644
Category : Medical
Languages : en
Pages : 361

Get Book Here

Book Description
Authored by a leading educator, this book teaches the fundamental mathematics and physics concepts associated with medical imaging systems. Going beyond mere description of imaging modalities, this book delves into the mechanisms of image formation and image quality common to all imaging systems: contrast mechanisms, noise, and spatial and temporal resolution, making it an important reference for medical physicists and biomedical engineering students. This is an extensively revised new edition of The Physics of Medical X-Ray Imaging by Bruce Hasegawa (Medical Physics Publishing, 1991), and includes a wide range of modalities such as X-ray CT, MRI and SPECT.

Essential Mathematics for NMR and MRI Spectroscopists

Essential Mathematics for NMR and MRI Spectroscopists PDF Author: Keith C. Brown
Publisher: Royal Society of Chemistry
ISBN: 1782627979
Category : Mathematics
Languages : en
Pages : 884

Get Book Here

Book Description
Beginning with a review of the important areas of mathematics, this book then covers many of the underlying theoretical and practical aspects of NMR and MRI spectroscopy from a maths point of view. Competence in algebra and introductory calculus is needed but all other maths concepts are covered. It will bridge a gap between high level and introductory titles used in NMR or MRI spectroscopy. Uniquely, it takes a very careful and pedagogical approach to the mathematics behind NMR and MRI. It leaves out very few steps, which distinguishes it from other books in the field. The author is an NMR laboratory manager and is sympathetic to the frustrations of trying to understand where some of the fundamental equations come from hence his desire to either explicitly derive all equations for the reader or direct them to derivations. This is an essential text aimed at graduate students who are beginning their careers in NMR or MRI spectroscopy and laboratory managers if they need an understanding of the theoretical foundations of the technique.

Duke Review of MRI Principles:Case Review Series E-Book

Duke Review of MRI Principles:Case Review Series E-Book PDF Author: Wells Mangrum
Publisher: Elsevier Health Sciences
ISBN: 1455740446
Category : Medical
Languages : en
Pages : 323

Get Book Here

Book Description
The newest title in the popular Case Review Series, Duke Review of MRI Principles, by Wells Mangrum, MD; Kimball Christianson, MD; Scott Duncan, MD; Phil Hoang, MD; Allen W. Song, PhD; and Elmar Merkle, MD, uses a case-based approach to provide you with a concise overview of the physics behind magnetic resonance imaging (MRI). Written by radiology residents, practicing radiologists, and radiology physicists, this multidisciplinary text introduces you to the basic physics of MRI and how they apply to successful and accurate imaging, interpretation, and diagnosis. Clinically relevant cases with associated questions and images reinforce your understanding of essential principles needed to confidently interpret a wide range of MRI images for all organ systems. Review the basic physics of MRI in a concise, high-yield manner and learn how to apply them for successful and accurate imaging, interpretation, and diagnosis. Master 17 essential MRI principles you need to know through clinically relevant cases accompanied by associated questions and 600 images that reinforce your understanding and help you confidently interpret a wide range of MRI images. Effectively diagnose disease in all organ systems. Authors are fellowship-trained in each body system – neuro, breast, body, vascular and MSK, providing you with practical guidance in every area Focus on the information that’s most relevant to your needs from a multidisciplinary author team comprised of radiology residents, practicing radiologists and radiology physicists. See the underlying simplicity behind MRI physics. Despite employing the same MRI principles, similar imaging systems use slightly different names. A simplified explanation of these principles and how they are applied to each body system deepens your understanding and helps avoid any confusion.

MRI: The Basics

MRI: The Basics PDF Author: Ray Hashman Hashemi
Publisher: Lippincott Williams & Wilkins
ISBN: 1451148712
Category : Medical
Languages : en
Pages : 400

Get Book Here

Book Description
Now in its updated Third Edition, MRI: The Basics is an easy-to-read, clinically relevant introduction to the physics behind MR imaging. The book features large-size, legible equations, state-of-the-art images, instructive diagrams, and questions and answers that are ideal for board review. The American Journal of Radiology praised the previous edition as "an excellent text for introducing the basic concepts to individuals interested in clinical MRI." This edition spans the gamut from basic physics to multi-use MR options to specific applications, and has dozens of new images. Coverage reflects the latest advances in MRI and includes completely new chapters on k-space, parallel imaging, cardiac MRI, and MR spectroscopy.