Convection-reaction equation based magnetic resonance electrical properties tomography (cr-MREPT)

Date
2014
Authors
Hafalir, F. S.
Oran, O. F.
Gurler, N.
Ider, Y. Z.
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
IEEE Transactions on Medical Imaging
Print ISSN
0278-0062
Electronic ISSN
Publisher
Institute of Electrical and Electronics Engineers Inc.
Volume
33
Issue
3
Pages
777 - 793
Language
English
Type
Article
Journal Title
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Volume Title
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Abstract

Images of electrical conductivity and permittivity of tissues may be used for diagnostic purposes as well as for estimating local specific absorption rate distributions. Magnetic resonance electrical properties tomography (MREPT) aims at noninvasively obtaining conductivity and permittivity images at radio-frequency frequencies of magnetic resonance imaging systems. MREPT algorithms are based on measuring the B1 field which is perturbed by the electrical properties of the imaged object. In this study, the relation between the electrical properties and the measured B1 field is formulated for the first time as a well-known convection-reaction equation. The suggested novel algorithm, called 'cr-MREPT,' is based on the solution of this equation on a triangular mesh, and in contrast to previously proposed algorithms, it is applicable in practice not only for regions where electrical properties are relatively constant but also for regions where they vary. The convective field of the convection-reaction equation depends on the spatial derivatives of the B1 field, and in the regions where its magnitude is low, a spot-like artifact is observed in the reconstructed electrical properties images. For eliminating this artifact, two different methods are developed, namely 'constrained cr-MREPT' and 'double-excitation cr-MREPT.' Successful reconstructions are obtained using noisy and noise-free simulated data, and experimental data from phantoms.

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Keywords
B1 mapping, Conductivity imaging, Convection-reaction equation, Electrical impedance tomography (EIT), Magnetic resonance electrical impedance tomography (MREIT), Permittivity imaging, Quantitative magnetic resonance imaging (MRI), Triangular mesh, Algorithms, Electric impedance, Electric impedance tomography, Permittivity, B1 mapping, Conductivity imaging, Convection-reaction equation, Electrical impe dance tomography (EIT), Magnetic resonance electrical impedance tomographies, Quantitative magnetic resonance imaging, Triangular meshes, Magnetic resonance imaging, Computer assisted impedance tomography, Conductance, Convection reaction equation based resonance property tomography, Electric conductivity, Nuclear magnetic resonance, Nuclear magnetic resonance imaging, Radiological parameters, Tomography, Brain, Electric Impedance, Humans, Magnetic Resonance Imaging
Citation
Published Version (Please cite this version)