Convection-reaction equation based magnetic resonance electrical properties tomography (cr-MREPT)
Date
2014Source Title
IEEE Transactions on Medical Imaging
Print ISSN
0278-0062
Publisher
Institute of Electrical and Electronics Engineers Inc.
Volume
33
Issue
3
Pages
777 - 793
Language
English
Type
ArticleItem Usage Stats
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257
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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.
Keywords
B1 mappingConductivity 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
Permalink
http://hdl.handle.net/11693/26471Published Version (Please cite this version)
http://dx.doi.org/10.1109/TMI.2013.2296715Collections
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