Quantitative susceptibility mapping from coil data using the Bloch–Torrey equation
Monday, 5 October 2026, 16:00–17:00 in HG03.085
Abstract
Quantitative susceptibility mapping (QSM) aims to recover the spatial distribution of magnetic susceptibility from magnetic resonance measurements. We study a coupled model consisting of the Bloch–Torrey equation and the nonlocal dipole relation. There are two inverse problems to address: recovering equilibrium magnetization, transverse relaxation rate, and the induced magnetic field from coil data, and determining susceptibility from this field. Using a short-pulse approximation and neglecting diffusion and flow, we derive formulas that separate the linearized parameter contributions from two spin-echo experiments and a matched gradient-echo experiment. We then discuss what further assumptions are needed to recover the three spatially varying parameters from these separated data.