Email: ejwoo@khu.ac.kr

CompanyName: Kyung Hee University

Country: S. Korea

Abstract: Single Component of Magnetic Flux Density Can Produce Resistivity Images in Magnetic Resonance Electrical Impedance Tomography (MREIT)

Jin Keun Seo1, Ohin Kwon2, Jeong-Rock Yoon3, Byung Il Lee4, and Eung Je Woo4

1Department of Mathematics, Konkuk
University, Korea

2School of Mathematics, Korea Institute for Advanced Study, Korea

3Department of Mathematics, Yonsei University, Korea

4College of Electronics and Information, Kyung Hee University, Korea

The J-substitution algorithm in Magnetic
Resonance Electrical Impedance

Tomography (MREIT) requires measurements of the internal current density J

to reconstruct a cross-sectional resistivity image. We, therefore, need to

obtain the magnetic flux density B from multi-slice MR phase images to compute

J. This means that we must rotate a subject inside the main magnet of an MRI

system. This paper describes a new resistivity image reconstruction algorithm

based on only one component of B such as Bz that can be measured without rotating

the subject. We call this new algorithm Bz-based current density imaging (BzCDI)

algorithm. It requires two injection currents that induce different internal

current density distributions. Given an imaging slice Ws of a three-dimensional

subject W, this paper derives the BzCDI algorithm assuming vanishing Neumann

boundary condition on the top and bottom surface of Ws. Using additional

Dirichlet data on the exposed surface of Ws, this assumption may be relaxed.

Since the BzCDI algorithm does not differentiate B, results of computer

simulations and phantom experiments show that it is advantageous for noisy

magnetic flux density measurements.