Reconstruction of conductivity using the dual-loop method with one injection current in MREIT

Area of Science:

• Biomedical Engineering
• Medical Imaging
• Electrical Engineering

Background:

• Magnetic Resonance Electrical Impedance Tomography (MREIT) visualizes internal conductivity.
• Conventional MREIT algorithms require multiple current injections for conductivity reconstruction.
• This limits the efficiency and applicability of MREIT.

Purpose of the Study:

• To develop a direct MREIT method for reconstructing isotropic conductivity.
• To achieve conductivity reconstruction using only one component of magnetic flux density data.
• To simplify MREIT by requiring only a single current injection.

Main Methods:

• Reconstruction of projected current density from one magnetic flux density component.
• Utilizing Kirchhoff's voltage law to establish relationships between voltage and current.
• Deriving an implicit matrix system for conductivity determination using dual-loop analysis around pixels.

Main Results:

• Numerical simulations demonstrate stable conductivity distribution reconstruction.
• The proposed method successfully determines internal conductivity in an imaging slice.
• Agarose gel phantom experiments validate the reconstructed conductivity against conventional methods.

Conclusions:

• The proposed direct MREIT method enables conductivity reconstruction with a single current injection.
• This simplification enhances the efficiency of MREIT for internal conductivity imaging.
• The method shows stable and accurate performance in simulations and phantom experiments.