| Description |
1 online resource (436 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
New developments in NMR ; 24
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New developments in NMR ; no. 24.
|
| Note |
Includes index. |
| 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 |
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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 |
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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 |
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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 |
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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 |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Diffusion magnetic resonance imaging.
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Diffusion magnetic resonance imaging. |
| Genre/Form |
Electronic books.
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| Added Author |
Topgaard, Daniel, editor.
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| Other Form: |
Print version: Advanced diffusion encoding methods in MRI. Cambridge : Royal Society of Chemistry, [2020] 1788017269 9781788017268 (OCoLC)1108442599 |
| ISBN |
9781788019910 (electronic book) |
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1788019911 (electronic book) |
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9781788019927 (electronic book) |
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178801992X (electronic book) |
|
9781788017268 (print) |
|
1788017269 (print) |
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