Microstructure with Magnetic Resonance

Dr. Kiselev joined the field of MRI with a decade-long research experience in quantum field theory including authoring a textbook on this subject. His current focus is on understanding how the microstructure of biological tissues is imprinted in the observable MRI signal obtained with dedicated MRI techniques. His contributions include quantification of perfusion measurements using DSC MRI, vessel size imaging, and the effective medium approach to transverse relaxation and diffusion with the goal to quantify the cellular tissue microarchitecture. He has organized numerous educational events on diffusion and perfusion MRI, where he introduced the problem-solving approach. Dr. Novikov brings a decade of experience in theoretical condensed matter physics to the biomedical MRI. He is developing analytical tools and parameter estimation methods to quantify cellular-level tissue structure and its changes in disease based on various MRI contrasts. His contributions include the effective medium approach for diffusion and relaxation to quantify cell density, their packing arrangement, membrane permeability and other related metrics, with the goal to identify quantitative disease biomarkers in neurodegenerative diseases, tumors and myopathies. He introduced the problem-solving approach to the ISMRM educational sessions.

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