Magnetic Resonance Imaging (MRI) is a widely applied non-invasive imaging modality based on non-ionizing radiation which gives excellent images and soft tissue contrast of living tissues. We consider the modified Bloch problem as a model of MRI for flowing spins in an incompressible flow field. After establishing the well-posedness of the corresponding evolution problem, we analyze its spatial semidiscretization using discontinuous Galerkin methods. The high frequency time evolution requires a proper explicit and adaptive temporal discretization. The applicability of the approach is shown for basic examples.
@article{arxiv.1703.05985,
title = {Numerical Simulation of Bloch Equations for Dynamic Magnetic Resonance Imaging},
author = {Arijit Hazra and Gert Lube and Hans-Georg Raumer},
journal= {arXiv preprint arXiv:1703.05985},
year = {2017}
}
Comments
Section 1 is improved with a description of the state-of-art. Some simulation results are added in section 5. Mathematical theorems and estimates are re-arranged