Electro-Magnetic Tissue Properties MRI - download pdf or read online

By Jin Keun Seo

ISBN-10: 1783263393

ISBN-13: 9781783263394

This is often the 1st booklet that offers a accomplished creation to and evaluate of electro-magnetic tissue estate imaging suggestions utilizing MRI, concentrating on 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 because there's at the moment no different strategy to reconstruct high-resolution pictures of the electro-magnetic tissue homes together with electric conductivity, permittivity, and magnetic susceptibility. those 3 imaging modalities are in keeping with Maxwell's equations and MRI information acquisition recommendations. they're increasing MRI's skill to supply new distinction details on tissue buildings and services.

To facilitate extra technical development, the booklet presents in-depth descriptions of the main up-to-date examine results, together with underlying physics, mathematical theories and types, size innovations, computation concerns, and different tough problems.

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

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89) Note that G · r is much smaller than B0 . 89) can be approximated into Signal(t) ≈ −iB0 e−iγB0 t Ω S(r)M⊥0 (r) e−iγG·rt dr. 90) January 16, 2014 16:27 9in x 6in Electro-Magnetic Tissue Properties b1693-ch02 Electro-magnetism and MRI 39 Denoting m(r) := S(r)M⊥0 (r) and s(k(t)) := 1 iγB0 t e Signal(t), −iB0 the measurable signal as a function of time t and G is m(r) e−2πik(t)·r dr s(k(t)) ≈ where k(t) := Ω γGt . 91) In general, we can design the gradient G as a function of time t, and the measurable signal with the time-dependent gradient field G(t) is given by s γ 2π t G(t )dt 0 m(r) e−2πik(t)·r dr.

Where is the permittivity in F/m. The permittivity is a material property determined by the polarization of the dielectric under an external electric field. If we apply a sinusoidal voltage V (t) = V cos ωt with an angular frequency ω, there occurs an alternating current (ac) displacement current through the dielectric due to time-varying polarizations with the angular frequency ω: I(t) = C d (V cos ωt) = −ωCV sin ωt = Re{CV ei(ωt+π/2) }. 30) dt Note that the current and voltage are out of phase by 90◦ or the voltage is in the quadrature of the current.

6). Note that σ(ω) and ω (ω) have the same unit of S/m. The impedance Z between the top and bottom surfaces is (ω) 1 − i ωσ(ω) L L 1 = . 4 L 1 If σ(ω) ω (ω), then Z ≈ −i ω (ω)S = iωC and the material is reactive or capacitive. Most biological tissues are resistive at low frequencies of less than 10 kHz, and the capacitive term is not negligible beyond 10 kHz. 5 Boundary value problems in electrostatics Assume that a biological subject occupies a domain Ω with its conductivity distribution σ. Assume that the diameter of Ω is less than 1 m.

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Electro-Magnetic Tissue Properties MRI by Jin Keun Seo


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