Title
Mathematical framework for Bz-based MREIT model in electrical impedance imaging
Abstract
Magnetic resonance electrical impedance tomography (MREIT) is a new medical imaging modality visualizing static conductivity images of a subject by injecting electrical currents (Neumann data) and measuring the induced internal magnetic flux density B using an MRI scanner. Taking advantage of the internal information B, MREIT can deal with the ill-posed characteristics of the inverse problem in electrical impedance tomography (EIT However, the MREIT model at its early stage has technical difficulties in clinical applications mainly due to the requirement of subject rotations for acquiring all of the three components of B = (B"z, B"y, B"z). Lately, a new model so called the B"z-based MREIT model has been proposed to eliminate the subject rotation procedure. In this new MREIT model, we need to measure only one component B"z when the z-axis is the direction of the main magnetic field of the MRI scanner. There have been significant advances in reconstruction algorithms based on the B"z-based MREIT model and experimental studies showed that an excellent contrast resolution can be achievable. Although these advance in B"z-based MREIT, we have not dealt with its rigorous mathematical theory yet. The primary purpose of this work is to provide the rigorous mathematical framework for the B"z-based MREIT model. With this mathematical framework, we obtain the uniqueness in a two-dimensional setting of the B"z-based MREIT model. After introducing an example of the B"z-based MREIT algorithm, we present typical numerical and also experimental results.
Year
DOI
Venue
2006
10.1016/j.camwa.2006.03.002
Computers & Mathematics with Applications
Keywords
Field
DocType
inverse problem,uniqueness,conductivity reconstruction,z-based mreit model,component b,mreit model,mri scanner,bz-based mreit model,electrical impedance tomography,maxwell equations,internal information b,electrical impedance imaging,z-based mreit algorithm,new mreit model,density b,z-based mreit,mathematical framework,mreit
Magnetic field,Medical imaging,Contrast resolution,Mathematical analysis,Mathematical theory,Inverse problem,Scanner,Maxwell's equations,Physics,Electrical impedance tomography
Journal
Volume
Issue
ISSN
51
5
Computers and Mathematics with Applications
Citations 
PageRank 
References 
3
0.55
5
Authors
4
Name
Order
Citations
PageRank
Ohin Kwon118332.17
Hyunchan Pyo230.55
Jin Keun Seo337658.65
Eung Je Woo426472.69