Electric Current Density Imaging
Electric Current Density Imaging (CDI) is a new modality of magnetic
resonance imaging that enables electric current distribution imaging in
conductive samples containing water. CDI techniques may be further
divided to: DC-CDI, a technique designed to image direct electric
current density distribution, AC-CDI technique
enabling imaging of alternating electric current distribution of the
frequency up to a few kHz and RF-CDI that operates at the RF Larmor
frequency. The principle of CDI is based on mapping magnetic field
changes caused by electric currents flowing through the sample. Once
maps of the magnetic field changes are obtained, the electric current
density can be calculated from magnetic field change maps
using Ampere's law.

Direct electric current density MR imaging sequence.
CDI sequences utilize electric currents applied in pulses that are well
synchronized with the imaging sequence. Electric pulses produce
temporal shifts of the precession frequency and consequently phase
shifts proportional to the magnetic field change. These shifts can be
added cumulatively by an appropriate arrangement of electric and RF
pulses in the CDI sequence and later detected by a phase sensitive MRI.
The image of the real MR signal component (left) of the sample
consisting of two concentric cylinders: inner field with saline and
outer with water
(right).
In one sample orientation, only the component of magnetic field change
along the static magnetic field can be measured. Therefore, the sample
has to be rotated in remaining perpendicular spatial orientations to
map other components of magnetic field change. Once this is done the
electric current density can be calculated as the curl of magnetic
field maps.
Conventional magnitude MR image (left) and calculated electric current
density image of the same sample (right). The electric current of 20 mA
was flowing through the inner cylinder of the sample.
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