Electro-Magnetic Tissue Properties MRI by Jin Keun Seo

By Jin Keun Seo

This is often the 1st ebook that offers a complete creation to and evaluate of electro-magnetic tissue estate imaging concepts utilizing MRI, targeting Magnetic Resonance electric Impedance Tomography (MREIT), electric homes Tomography (EPT) and Quantitative Susceptibility Mapping (QSM). The distinction info from those novel imaging modalities is exclusive due to the fact there's at the moment no different option to reconstruct high-resolution photos of the electro-magnetic tissue homes together with electric conductivity, permittivity, and magnetic susceptibility. those 3 imaging modalities are in line with Maxwell's equations and MRI information acquisition recommendations. they're increasing MRI's skill to supply new distinction info on tissue constructions and services.

To facilitate additional technical development, the ebook presents in-depth descriptions of the main up to date study results, together with underlying physics, mathematical theories and types, size recommendations, computation matters, and different hard problems.

Readership: Researchers, lecturers and graduate scholars in scientific imaging, computational arithmetic and biomedical imaging.

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Additional resources for Electro-Magnetic Tissue Properties MRI

Sample text

MRI makes use of the hydrogen atoms inside the biological tissue to create magnetization; hydrogen nuclei become polarized by the external magnetic field, and then produce magnetic fields in the detecting coil of the MR scanner. In the human body, the amount of hydrogen would be the major factor for the net magnetization vector M. MRI uses nuclear magnetic resonance (NMR) phenomenon and linear gradient field to localize M to provide a cross-sectional image of the density of M inside the human body.

10) that ∇2 v(r) = ρ(r) ∇2 D 1 dr . 12) where n is the unit outward normal vector to the boundary. We refer to [Seo and Woo (2012)] for a detailed proof. Electric dipole, a pair of equal and opposite charges separated by a small distance, is more common than isolated charge. As shown January 16, 2014 14 16:27 9in x 6in Electro-Magnetic Tissue Properties b1693-ch02 Electro-Magnetic Tissue Properties MRI Fig. 2. The potential u due to a positive charge q at r⊕ and negative charge at r . 2, assume that a positive and a negative point charge, respectively, is placed at r⊕ and r in the free space.

119) Then M− := (Mx− , My− , Mz ) in Ω0 satisfies ∂Mx− − ∂My− − ∂Mz x + y + zˆ. 121) − − = (B , B , 0) and R(cos 2ω t, sin 2ω t) is the term where B− 0 0 1 1x 1y involving cos(2ω0 t) or sin(2ω0 t).

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