Efficient Bloch Simulation Based on Precomputed State-Transition Matrices
Nick Scholand, Christina Graf, Martin Uecker · Proceedings on CD-ROM - International Society for Magnetic Resonance in Medicine. Scientific Meeting and Exhibition/Proceedings of the International Society for Magnetic Resonance in Medicine, Scientific Meeting and Exhibition · 2023
The Bloch equations describe the effects of relaxation and external fields on the magnetization. Its coefficients are time-dependent, requiring computationally expensive techniques for its solution in the generic case. Currently, most techniques used in MRI are based on temporal discretization, but this requires very small time steps to achieve sufficiently small approximation errors. In this work, we investigate a simulation technique based on a precise precomputation of state-transition matrices and compare its accuracy and efficiency with techniques based on ODE solvers and with matrix-based techniques using temporal discretization.