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Related Concept Videos

Resistivity01:22

Resistivity

When a voltage is applied to a conductor, an electrical field is generated, and charges in the conductor feel the force due to the electrical field. The current density that results depends on the electrical field and the properties of the material. In some materials, including metals at a given temperature, the current density is approximately proportional to the electrical field. In these cases, the current density can be modeled as:
Electrical Conductivity01:13

Electrical Conductivity

In perfect conductors, the electric field inside is always zero due to the abundance of free electrons, which nullify any field by flowing. As a result, any residual charge resides on the surface.
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
Theory of Metallic Conduction01:17

Theory of Metallic Conduction

The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
Magnetic Susceptibility and Permeability01:31

Magnetic Susceptibility and Permeability

In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of proportionality, a dimensionless number, is called magnetic susceptibility. The value of the susceptibility depends on the type of material.
When diamagnetic materials are placed under an external magnetic field, the moments opposite to the field are induced. Hence, the susceptibility for diamagnets has a minimal negative value of 10-5–10-6. Since...

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Related Experiment Video

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Magnetic Resonance Elastography Methodology for the Evaluation of Tissue Engineered Construct Growth
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Magnetic Resonance Elastography Methodology for the Evaluation of Tissue Engineered Construct Growth

Published on: February 9, 2012

Regional absolute conductivity reconstruction using projected current density in MREIT.

Saurav Z K Sajib1, Hyung Joong Kim, Oh In Kwon

  • 1Department of Biomedical Engineering, Kyung Hee University, Korea.

Physics in Medicine and Biology
|September 7, 2012
PubMed
Summary

This study introduces a new Magnetic Resonance Electrical Impedance Tomography (MREIT) method to accurately map tissue conductivity, even in noisy areas. The technique reconstructs regional conductivity, overcoming limitations from defective imaging regions for better medical insights.

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Area of Science:

  • Biomedical Engineering
  • Medical Imaging
  • Electrical Engineering

Background:

  • Magnetic Resonance Electrical Impedance Tomography (MREIT) non-invasively images internal conductivity distributions within MRI scanners.
  • MREIT utilizes injected current and magnetic flux density to map internal current density and conductivity.
  • Defective regions with low MRI signal or conductivity create noise, degrading conductivity reconstruction.

Purpose of the Study:

  • To develop a direct, non-iterative method for reconstructing regional absolute isotropic conductivity distribution in a Region of Interest (ROI).
  • To overcome noise issues caused by defective regions in MREIT imaging.
  • To accurately determine electrical properties in specific tissue areas despite imaging artifacts.

Main Methods:

  • Injecting two independent currents through surface electrodes.
  • Reconstructing conductivity contrast using a transversal J-substitution algorithm to mitigate noise propagation.
  • Calculating regional projected current density from B(z) data and surface current injection.
  • Combining conductivity contrast and projected current density for direct absolute conductivity reconstruction in the ROI.

Main Results:

  • The proposed method successfully reconstructs regional absolute conductivity in ROIs, even with defective regions present.
  • Numerical simulations showed relative L₂-mode errors of 0.79 for regional and 0.43 for global conductivity at 50 dB noise.
  • Phantom MRI experiments validated the method's ability to reconstruct conductivity in challenging areas.

Conclusions:

  • The developed MREIT method provides accurate regional conductivity mapping, robust to noise from defective imaging areas.
  • This technique enhances the reliability of MREIT for assessing tissue electrical properties in complex biological environments.
  • The non-iterative, direct reconstruction approach offers an efficient solution for precise conductivity imaging in specific regions of interest.