Name: Jin Keun Seo

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.

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