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

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      Author(s)
      Hafalir, F. S.
      Oran, O. F.
      Gurler, N.
      Ider, Y. Z.
      Date
      2014
      Source 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
      Article
      Item Usage Stats
      288
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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 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
      Permalink
      http://hdl.handle.net/11693/26471
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/TMI.2013.2296715
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      • Department of Electrical and Electronics Engineering 3868
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