Noninvasive measurement of conductivity anisotropy at Larmor frequency using MRI

Joonsung Lee, Yizhuang Song, Narae Choi, Sungmin Cho, Jin Keun Seo, Donghyun Kim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Anisotropic electrical properties can be found in biological tissues such as muscles and nerves. Conductivity tensor is a simplified model to express the effective electrical anisotropic information and depends on the imaging resolution. The determination of the conductivity tensor should be based on Ohm's law. In other words, the measurement of partial information of current density and the electric fields should be made. Since the direct measurements of the electric field and the current density are difficult, we use MRI to measure their partial information such as B1 map; it measures circulating current density and circulating electric field. In this work, the ratio of the two circulating fields, termed circulating admittivity, is proposed as measures of the conductivity anisotropy at Larmor frequency. Given eigenvectors of the conductivity tensor, quantitative measurement of the eigenvalues can be achieved from circulating admittivity for special tissue models. Without eigenvectors, qualitative information of anisotropy still can be acquired from circulating admittivity. The limitation of the circulating admittivity is that at least two components of the magnetic fields should be measured to capture anisotropic information.

Original languageEnglish
Article number421619
JournalComputational and Mathematical Methods in Medicine
Volume2013
DOIs
Publication statusPublished - 2013 Apr 29

Fingerprint

Anisotropy
Magnetic resonance imaging
Conductivity
Tensors
Current density
Electric fields
Eigenvalues and eigenfunctions
Electric Field
Tensor
Partial Information
Magnetic Fields
Tissue
Eigenvector
Muscles
Biological Tissue
Muscle
Electrical Properties
Electric properties
Nerve
Magnetic fields

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Applied Mathematics

Cite this

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abstract = "Anisotropic electrical properties can be found in biological tissues such as muscles and nerves. Conductivity tensor is a simplified model to express the effective electrical anisotropic information and depends on the imaging resolution. The determination of the conductivity tensor should be based on Ohm's law. In other words, the measurement of partial information of current density and the electric fields should be made. Since the direct measurements of the electric field and the current density are difficult, we use MRI to measure their partial information such as B1 map; it measures circulating current density and circulating electric field. In this work, the ratio of the two circulating fields, termed circulating admittivity, is proposed as measures of the conductivity anisotropy at Larmor frequency. Given eigenvectors of the conductivity tensor, quantitative measurement of the eigenvalues can be achieved from circulating admittivity for special tissue models. Without eigenvectors, qualitative information of anisotropy still can be acquired from circulating admittivity. The limitation of the circulating admittivity is that at least two components of the magnetic fields should be measured to capture anisotropic information.",
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Noninvasive measurement of conductivity anisotropy at Larmor frequency using MRI. / Lee, Joonsung; Song, Yizhuang; Choi, Narae; Cho, Sungmin; Seo, Jin Keun; Kim, Donghyun.

In: Computational and Mathematical Methods in Medicine, Vol. 2013, 421619, 29.04.2013.

Research output: Contribution to journalArticle

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AU - Lee, Joonsung

AU - Song, Yizhuang

AU - Choi, Narae

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AU - Kim, Donghyun

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