Electro-magnetic tissue properties MRI / Jin Keun Seo [and three others].

Format:

Book

Author/Creator:

Seo, Jin Keun, author.

Series:

Modelling and Simulation in Medical Imaging

Modelling and Simulation in Medical Imaging, 2045-0362 ; Volume 1

Language:

English

Subjects (All):

Magnetic resonance imaging.

Magnetic resonance imaging--Mathematical models.

Physical Description:

1 online resource (294 p.)

Place of Publication:

London, England : Imperial College Press, 2014.

Language Note:

English

Summary:

This is the first book that presents a comprehensive introduction to and overview of electro-magnetic tissue property imaging techniques using MRI, focusing on Magnetic Resonance Electrical Impedance Tomography (MREIT), Electrical Properties Tomography (EPT) and Quantitative Susceptibility Mapping (QSM). The contrast information from these novel imaging modalities is unique since there is currently no other method to reconstruct high-resolution images of the electro-magnetic tissue properties including electrical conductivity, permittivity, and magnetic susceptibility. These three imaging moda

Contents:

Preface; Foreword; Contents; 1. Introduction; 1.1 Electro-magnetic Tissue Properties of Biological Tissues; 1.2 Three Electro-magnetic Tissue Property Imaging Modalities; 1.3 Mathematical Frameworks; 1.4 General Notations; 2. Electro-magnetism and MRI; 2.1 Basics of Electro-magnetism; 2.1.1 Maxwell's equations; 2.1.2 Electric field due to point charges in free space; 2.1.3 Molecular polarization; 2.1.4 Electrical bioimpedance for cylindrical subjects; 2.1.4.1 Conductivity and resistance at direct current; 2.1.4.2 Permittivity and capacitance

2.1.4.3 Admittivity of a material including both mobile and immobile charges2.1.5 Boundary value problems in electrostatics; 2.1.6 Time-harmonic Maxwell's equations and eddy current model; 2.1.7 Magnetic field created by magnetic moment; 2.2 Magnetic Resonance Imaging; 2.2.1 MR signal and Larmor precession of spins ignoring relaxation effects; 2.2.1.1 Larmor precession of M in an external field B; 2.2.1.2 MR signal ignoring relaxation effects; 2.2.1.3 MR signal with gradient field; 2.2.1.4 One-dimensional imaging with frequency encoding

2.2.1.5 Two-dimensional imaging with phase and frequency encoding2.2.2 On-resonance RF excitation to flip M toward the xy-plane; 2.2.2.1 Time-harmonic RF field B1; 2.2.2.2 Time-harmonic RF excitation and flip angle; 2.2.3 Signal detection and RF reciprocity principle; 2.2.3.1 RF reciprocity principle; 2.2.4 Relaxation effects; 2.3 Fourier Transform; 2.4 Image Processing; 2.4.1 Diffusion techniques for denoising: L1 vs. L2 minimization; 2.4.2 Segmentation; 2.4.3 Sparse sensing; References; 3. Magnetic Resonance Electrical Impedance Tomography; 3.1 Overview and History of MREIT

3.2 Overall Structure of MREIT3.3 Measurement of Internal Data Bz; 3.3.1 Noise analysis; 3.3.2 Pulse sequence; 3.4 Forward Model; 3.4.1 Boundary value problem in MREIT; 3.4.2 Computation of Bz; 3.5 Uniform Current Density Electrodes; 3.5.1 Mathematical model for uniform current electrode in half space; 3.5.2 Optimal geometry of non-uniform recessed electrodes; 3.6 Mathematical Model of MREIT for Stable Reconstruction; 3.6.1 Map from σ to Bz data; 3.6.2 Toward uniqueness of an MREIT problem; 3.6.2.1 Scaling uncertainty of σ; 3.6.2.2 Two linearly independent currents for uniqueness

3.7 MREIT with Object Rotations3.7.1 Current density imaging; 3.7.1.1 Recovering a transversal current density J having Jz = 0 using Bz; 3.7.2 Early MREIT algorithms; 3.7.3 J-substitution algorithm; 3.7.3.1 J-substitution: Uniqueness; 3.7.3.2 J-substitution algorithm: Iterative scheme; 3.8 MREIT Without Subject Rotation; 3.8.1 Harmonic Bz algorithm; 3.8.1.1 Mathematical model and corresponding inverse problem; 3.8.1.2 Two-dimensional MREIT model; 3.8.1.3 Representation formula; 3.8.1.4 Local reconstruction using harmonic Bz algorithm

3.8.1.5 Conductivity reconstructor using harmonic Bz algorithm

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed April 8, 2014).

ISBN:

1-78326-340-7