Magnetic moment quantifications of small spherical objects in MRI.

Purpose: The purpose of this work is to develop a method for accurately quantifying effective magnetic moments of spherical-like small objects from magnetic resonance imaging (MRI). A standard 3D gradient echo sequence with only one echo time is intended for our approach to measure the effective magnetic moment of a given object of interest.

Methods: Our method sums over complex MR signals around the object and equates those sums to equations derived from the magnetostatic theory.