Ileana Hancu1, Robert Darrow1, Eric Fiveland1, Elizabeth Morris2, Dominic Graziani1, and Mauricio Castillo-Effen1
1GE Global Research Center, Niskayuna, NY, United States, 2Memorial Sloan Kettering Cancer Center, New York City, NY, United States
Synopsis
Many factors
contribute to the inaccuracy of MR-guided breast biopsies. Significantly, the
lack of real-time visualization of tool advancement towards the biopsy site
increases their duration and rate of false negatives. In this work, a novel
approach for instrument tracking, relying on the spatial variation of the
magnetic field, and using a set of 3 axis accelerometers/gyroscopes/magnetic
field sensors, is presented. One dimensional
tracking with 1.3mm rms error was demonstrated in the fringe field of a 3T
magnet.Purpose
MR-guided breast
biopsies are lengthy, expensive procedures, whose accuracy and false negative
rates are of concern [1]. One of the reasons for their complexity is the fact
that they are performed without real-time guidance; the lesions can be
visualized for ~10 minutes after the contrast agent is injected, while the
woman is inside the MRI magnet. The biopsies are conducted, however, outside
the MRI magnet. One or more image confirmation steps are usually performed, to
ensure that the correct tissue is biopsied. The goal of the work presented here
is to assess whether a combination of 3-axis accelerometers, gyroscopes and
magnetic field sensors— can provide a basis for accurate and inexpensive tracking
of a surgical instrument in the fringe field of a MRI scanner.
Methods
To understand the range of field sensors needed and
the relationship between magnetic field and position, magnetic field simulations
were first performed using Comsol. Figure 1 displays simulated radial (Br) and
longitudinal (Bz) fringe fields for a 3T magnet, between the exit of the bore
(z=1m) and the end of the table (z=3m) as a function of radial (r) and
longitudinal distance from isocenter (z); this data indicate that all field
components will remain below 500G for at least 110cm from the end of the table,
in the region where breast biopsies are performed.
The setup used for our preliminary data collection is
presented in Figure 2. A translation stage with position encoders was placed
next to a breast coil, at an approximate location for breast biopsies, in the
fringe field of a 3T, MR750 GE scanner. A 3-axis accelerometer/gyroscope (ST
LSM9DS0), and three orthogonal, range-appropriate [0-500G] Hall-effect sensors
(Microswitch SS94A1) were attached to the translation stage. The sensor recordings
were converted into position by implementing a Kalman filter on the
accelerometer/magnetometer data for the axis of motion, and assuming a linear
relationship between magnetic field and position. Calibration for the zero
level offset, sensitivity and misalignment in the three sensitivity axes of the
sensors were achieved using the algorithms described in [2].
Results and discussion
The position given by the position encoder and
the magnetic field reported by the sensor as a function of time (while moving
the translation stage over ~8cm) are shown in Figure 3. This graph confirms the
linear relationship between magnetic field and position for the small distances
traveled in breast biopsies. The steep field gradients and the sensor
sensitivity (5mV/G) confirm that mm tracking accuracy is likely achievable.
Figure 4 top shows the predicted/measured position from the system of sensors
for a 1D translation over 10cm/70seconds; the 2 curves completely overlap when
using a display scale that covers the range of motion (Fig 4 top). The ground
truth was provided by the position encoder; the predicted position was obtained
as described in Methods. Figure 4 also shows the estimated error (middle) and velocity
(bottom). For our experimental 83Hz sensor update rate, the position root mean
square (rms) error was 1.3mm; due to noise associated with the inertial sensor,
artificially reducing the Hall effect sensor update rate by a factor of 2
increased the rms error to 1.6 mm. Increasing the sampling rate of the aiding
signal by a factor of 2—by, e.g., employing a faster A/D card-- is expected to
reduce the rms position error to 1mm.
Conclusions
This work presents preliminary evidence, indicating
that high precision instrument tracking in the fringe field of a magnet, using a
combination of accelerometers, gyroscopes and range appropriate Hall-effect
sensors, is feasible. Extension of the current 1D position prediction algorithm
to 3 dimensions, by incorporating the orientation of the sensors, will be
pursued next.
Acknowledgements
This work was supported in part by NIH grant
1R01CA154433.References
[1] Bahrs et al, Clin Radiol
2014;69(7):695-702.
[2] Stancin et al, Sensors 2014, 14, 14885-14915.