Microstructure with Magnetic Resonance: Problems and Solutions

Microstructure with Magnetic Resonance: Problems and Solutions responds to the challenge of how to see the invisible with magnetic resonance imaging. Technically, the goal is to quantify cellular-level properties of biological tissues and microarchitecture of porous media orders of magnitude below the achievable resolution of MR. While the interest in this area has grown exponentially, current research involves physics outside the scope of standard NMR and MRI textbooks. Microstructure with Magnetic Resonance: Problems and Solutions introduces readers to methods of describing complex media in statistical terms, and covers the effects of complex microenvironments on the MR signal phase, on the transverse relaxation, and on different facets of the diffusion-weighted signal.The book presents the material as a set of problems with detailed solutions, that build on each other, stimulating a hands-on approach to learning. Each chapter begins with a short introduction to the topic, followed by problems, solutions, and a summary of key points. The problems start from the basics, and bring the reader step-by-step to the frontier of current knowledge. The overall focus is on gaining physical insight, by drawing on simple physical analogies and dimensional analysis, which help to reproduce the essence of the results obtained in classical and recent studies. The necessary mathematics is collected in dedicated appendices.With this book the reader will:. Understand the classic and current literature on microstructure mapping with NMR and MRI. Become familiar with the modern trends in microstructure MR. Be able to design new experiments using MR based on a solid theoretical foundation Explains physics necessary to understand how the microscopic structure of biological tissues and porous media manifests itself in different magnetic resonance contrasts (phase, relaxation, diffusion) Uses a unique problem/solution structure to provide for efficient learning from the basics to the frontiers of knowledge Tested through numerous teaching courses for trainees INDICE: ForewordUnits, conventions, notations1. Diffusion basics2. First touch of microstructure3. Describing randomness: Correlation functions4. Representing rotations5. NMR basics6. The induced field and spin phase7. Relaxation8. Physics of diffusion measurement9. The cumulant expansion and velocity autocorrelation function10. Diffusion beyond the Gaussian phase approximation11. Diffusion in three dimensions12. Multiple Gaussian compartments13. Advanced diffusion encoding14. Diffusion and Bloch-Torrey equations15. Impermeable interfaces and porous media16. Permeable interfaces and heterogeneous media17. Transverse relaxation in dilute suspensions18. Monte Carlo simulationsAftermath: Math facts, tricks and hacks

• ISBN: 978-0-12-822469-4
• Editorial: Academic Press
• Encuadernacion: Rústica
• Páginas: 250
• Fecha Publicación: 01/12/2022
• Nº Volúmenes: 1
• Idioma: Inglés