Advanced diffusion encoding methods in MRI /

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Bibliographic Details
Imprint:	Cambridge : Royal Society of Chemistry, [2020]
Description:	1 online resource (436 pages)
Language:	English
Series:	New developments in NMR ; 24 New developments in NMR ; no. 24.
Subject:	Diffusion magnetic resonance imaging. Diffusion Magnetic Resonance Imaging Diffusion magnetic resonance imaging
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12651918

Hidden Bibliographic Details
Other authors / contributors:	Topgaard, Daniel, editor.
ISBN:	9781788019910 1788019911 9781788019927 178801992X 9781788017268 1788017269
Notes:	Includes index. Title details screen.
Summary:	The medical MRI community is by far the largest user of diffusion NMR techniques and this book captures the current surge of methods and provides a primary source to aid adoption in this field.
Other form:	Print version: Advanced diffusion encoding methods in MRI. Cambridge : Royal Society of Chemistry, [2020] 1788017269 9781788017268

Table of Contents:

Cover
Preface
Contents
Chapter 1 Translational Motion of Water in Biological Tissues
A Brief Primer
1.1 Introduction
1.2 A Molecular Perspective on Water Diffusion in Biological Tissues
1.2.1 Biomembranes
1.2.2 Macromolecules
1.3 Experimental Data on Biomembrane Permeability and Macromolecular Obstruction
1.4 Diffusivity, Restriction, Anisotropy, Exchange, and Flow
1.5 Summary
Acknowledgements
References
Chapter 2 Diffusion Encoding with General Gradient Waveforms
2.1 Introduction
2.2 Stochastic Processes
2.2.1 Probability Distributions
2.2.2 Markov Process
2.2.3 Moments and Cumulants
2.3 NMR Signal and Spin Phase
2.3.1 Phase of a Single Spin Contribution
2.3.2 Spin-echo and the Effective Gradient Waveform
2.3.3 NMR Signal for an Ensemble of Spins
2.3.4 Non-moving Spins
2.3.5 Spin-echo Condition
2.3.6 Spin-echo for Spins Undergoing Translational Motion
2.3.7 Coherent Motion
Single Ensemble
2.3.8 Coherent Motion
Multiple Sub-ensembles
2.3.9 Spin Phase as a Function of Displacement or Velocity
2.4 Stochastic Motion
2.4.1 Spin Position as a Stationary Markov Process
2.4.2 Average Propagator with Short Gradient Pulses
2.4.3 Arbitrary Gradient Waveforms and Multiple Propagators
2.4.4 Double Encoding with a Mixing Block
2.4.5 Approximations for Spin-echo Attenuation
2.4.6 Spin-echo as a Characteristic Functional of a Stochastic Process
2.4.7 Cross-correlation Tensors and the Gaussian Approximation of the Cumulant Expansion
2.4.8 Multi-Gaussian Diffusion in the Low-b Regime
2.5 Frequency-domain Analysis with the Gaussian Approximation of the Cumulant Expansion
2.5.1 Encoding and Diffusion Spectra
2.5.2 Directional Average Signal Attenuation due to Time-dependent Diffusion in Multicompartment Systems
2.5.3 Mean Spectrum and Spectral Anisotropy
2.5.4 Signal Attenuation for Directionally Averaged Multi-compartment Systems
2.5.5 Case of Axisymmetric Diffusion Spectra
2.5.6 Case of Gaussian Diffusion
2.5.7 Spectral Tuning of b-Tensors
2.5.8 Effect of Spectral Anisotropy
2.5.9 Low-frequency Expansion
2.6 Conclusions
Acknowledgements
References
Chapter 3 Diffusion Anisotropy and Tensor-valued Encoding
3.1 Introduction
3.2 Symmetric Tensors
3.2.1 Haeberlen Convention for Tensor Size and Shape
3.2.2 Measures of Tensor Anisotropy
3.2.3 Positive-(Semi)definiteness
3.3 Distributions of Axisymmetric Diffusion Tensors
3.3.1 Normalization
3.3.2 Low-dimensional Projections
3.3.3 Statistical Descriptors
3.3.4 Component Binning
3.3.5 Ensemble-averaging
3.4 Tensor-valued Diffusion Encoding
3.4.1 Diffusion Weighting, q-Space Trajectories, and b-Tensor
3.4.2 Computing the Frobenius Inner Product
3.4.3 Qualitative Interpretation
3.5 Estimation of Statistical Descriptors

Advanced diffusion encoding methods in MRI /

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