A distinguishability measure is defined for magnetic resonance-electrical impedance tomography (MR-EIT) based on magnetic flux density measurements. This general definition is valid for 2D and 3D structures of any shape. As a specific case, a 2D cylindrical body with concentric inhomogeneity is considered and a bound of the distinguishability is analytically formulated. Distinguishabilities obtained with potential and magnetic flux density measurements are compared.

Abstract-Determining optimum current injection pattern is of interest in magnetic resonance-electrical impedance tomography (MREIT), since it helps in detecting smaller inhomogeneities within the body when total injected current into the body is limited. Based on this fact, for 2-D cylindrical body with concentric and cylindrical inhomogeneity, current injection optimization problem is analytically formulated, based on distinguishability definition for MREIT. The exterior penalty method is used to solve the optimization problem. In the second step, the same problem is considered for eccentric and cylindrical inhomogeneity and the best current injection pattern is obtained.

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