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• W2061397255 abstract "Magnetic resonance current density imaging (MRCDI) provides a current density image by measuring the induced magnetic flux density within the subject with a magnetic resonance imaging (MRI) scanner. Magnetic resonance electrical impedance tomography (MREIT) has been focused on extracting some useful information of the current density and conductivity distribution in the subject Omega using measured B(z), one component of the magnetic flux density B. In this paper, we analyze the map Tau from current density vector field J to one component of magnetic flux density B(z) without any assumption on the conductivity. The map Tau provides an orthogonal decomposition J = J(P) + J(N) of the current J where J(N) belongs to the null space of the map Tau. We explicitly describe the projected current density J(P) from measured B(z). Based on the decomposition, we prove that B(z) data due to one injection current guarantee a unique determination of the isotropic conductivity under assumptions that the current is two-dimensional and the conductivity value on the surface is known. For a two-dimensional dominating current case, the projected current density J(P) provides a good approximation of the true current J without accumulating noise effects. Numerical simulations show that J(P) from measured B(z) is quite similar to the target J. Biological tissue phantom experiments compare J(P) with the reconstructed J via the reconstructed isotropic conductivity using the harmonic B(z) algorithm." @default.
• W2061397255 created "2016-06-24" @default.
• W2061397255 creator A5015568726 @default.
• W2061397255 creator A5045468569 @default.
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• W2061397255 date "2007-05-04" @default.
• W2061397255 modified "2023-09-24" @default.
• W2061397255 title "Analysis of recoverable current from one component of magnetic flux density in MREIT and MRCDI" @default.
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• W2061397255 doi "https://doi.org/10.1088/0031-9155/52/11/005" @default.
• W2061397255 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/17505085" @default.
• W2061397255 hasPublicationYear "2007" @default.
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