Projected Current from One Component of Magnetic Flux Density in MREIT

Abstract

Magnetic resonance current density imag- ing(MRCD1) provides a current density image by measuring the induced magnetic flux density within the subject using a magnetic resonance imaging(MR1) scanner. Magnetic reso- nance electrical impedance tomography(MRE1T) is to visualize the current density andlor conductivity distribution in the subject using measured one component of the magnetic flux density B, of B. We consider a map 7 from current density vector field J to one component of magnetic flux density B,. The map I provides an orthogonal decomposition J = J~+J~ of the current J where JN belongs to the null space of the map I. We explicitly describe the projected current density J~ from measured B,. The projected current density JP provides a good approximation of the true current J in a real time. Numerical simulations show that JP from measured B, is quite similar to the target J. Biological tissue phantom experiments compare JP with the reconstructed J via the reconstructed isotropic conductivity using the harmonic B, algorithm. Keywords-MRCDI, MREIT, magnetic flux density, pro- jected current.