Shantanu Sinha1, Vadim Malis2, and Usha Sinha3
1Radiology, UC San Diego, San Diego, CA, United States, 2Physics, UC San Diego, San Diego, CA, United States, 3Physics, San Diego State University, San Diego, CA, United States
Synopsis
Strain rate (SR) tensor mapping can be
conveniently computed from velocity encoded phase contrast (VE-PC) imaging. The
study of the variation of strain rate indices with force output (% Maximum
Voluntary Contraction (MVC)) can provide additional information similar to
stress-strain relationships measured at the whole muscle level. However, such
studies have been limited by the long VE-PC sequence time precluding its use at
high MVCs. We have developed a
compressed sensing VE-PCI technique to enable acquisitions across a range of
MVCs. Successful SR mapping for 30-70%MVC
on six subjects is reported here.
INTRODUCTION
The ability to image tissue deformations provides
a non-invasive way to study muscle kinematics at the voxel level. Strain rate (SR) imaging based on gated velocity
encoded phase contrast imaging has been recently established as a viable
methodology to extract strain rate parameters that captures tissue deformations1.
The variation of the SR indices with force output (% Maximum Voluntary
Contraction, MVC) can provide information on stress-strain like relationships. However,
such studies have been limited by human fatigue from the long scanning time, since each phase-encoding level has to be gated, precluding its use at
high MVCs. We have developed a
compressed sensing(CS) VE-PCI technique to enable acquisitions across a range
of MVCs. The CS technique combines multiple coils and a kyt-SENSE SPARSE reconstruction to obtain artifact free
images in 37 seconds at a given %MVC effort.
SR maps were derived from the
velocity images to quantify the SR along the fiber direction and the maximum
value of SRfiber showed an increase with %MVC.METHODS
Six subjects were recruited after IRB approval
and scanned on a 1.5T GE scanner. Imaging protocol included a set of gated
VE-PC images obtained during isometric contraction (TE: 7.7ms, TR: 16.4ms, NEX:
2, FA: 20°, slice thickness 5mm, sagittal-oblique orientation, FOV: 30×22.5cm (partial-phase FOV: 0.75), matrix: 256×106 (undersampling factor 4), 4 views/segment, 8 phases, 3D velocity encoding,
venc: 10cm/s, 14 repetitions, cycle length 2.9sec). For the multi-coil CS scheme, a ky-t undersampling followed a
variable density random undersampling with maximum density at the center of
k-space. A two-step ky-t-SENSE-SPARSE CS joint reconstruction (of reference
and velocity encoded images) was performed2 using the coil
sensitivities with a temporal FFT followed by a Temporal Total Variation as the
sparsifying transforms. A CS
undersampling factor of 4 was used to acquire dynamic data in 37 seconds.
The lower leg was placed in a plaster cast with
an embedded strain sensor and anchored in an 8-channel custom RF coil;
real-time visual feedback was provided to the subject. Data sets were obtained
for peak forces corresponding to 30-70% MVC for all subjects. Prior to the analysis, phase-contrast images
were corrected for phase shading artifacts and denoised using 2D anisotropic
diffusion filter1. 2DSR tensor was calculated from the velocity
images by taking spatial gradient and then symmetrized. Strain rate eigenvalues
(SRfiber, SRin-plane) were obtained from SR tensor
through eigenvalue decomposition1.
Quantitative analysis was performed for a ROI placed
in medial gastrocnemius muscle (7x7). Position of each voxel inside ROI was tracked in plane
across the cycle. Strain rate indices were extracted at the frame corresponding
to max SRfiber during contraction part of the cycle.
RESULTS
Fig. 1 and Fig. 2 show the SRfiber and
SRin-plane maps respectively at different %MVC effort; the maps
correspond to the temporal frame at max SRfiber in the contraction
cycle. The quality of the SR maps
underlines the efficiency of the CS reconstruction even when the reduction
factor is high. Fig. 3 shows the temporal maps of the SR indices as a function
of the isometric contraction cycle for one subject; different curves correspond
to different %MVCs. The increase in the magnitude of SR values with %MVC can be readily
appreciated.DISCUSSION
CS-VEPC decreased scan time by a factor of 4
enabling all subjects to complete the repetitions required for a dynamic scan
even at 70% MVC. Strain rate maps are sensitive to noise in the
velocity maps and there is a loss of SNR in CS-VEPC as fewer phase encodes are
collected for undersampling. However,
the quality of the SR maps acquired with the CS-VEPC show that they have
adequate SNR for quantitative analysis. Strain rate along the fiber direction
increased with %MVC showing the increased contraction of the muscle fiber in
order to produce more force. Since the
contraction in the fiber direction is compensated by an expansion in the fiber
cross-section, it stands to reason that an increased contraction along the
muscle fiber (SRfiber) will be accompanied by an increase in the
fiber cross-section(SRin-plane).
This is seen as an increase in SRin-plane with % MVC.CONCLUSIONS
This
the first report of the variation of SR indices with %MVC (upto 70%MVC) and
this was enabled by the compressed sensing VE-PC which decreased scan times to ~38 seconds at a given
MVC. The magnitude of the SR indices
increased with % MVC showing that the proposed technique can be used to explore
tissue deformations as a function of %MVC up to much higher %MVC than without CS.Acknowledgements
This work was supported by the National Institute of Arthritis and Musculoskeletal and Skin Diseases Grant R01AG056999-01References
[1]
Malis V, Sinha U, Csapo R, Narici M, Sinha S. Magn Reson Med. 2017;doi:
10.1002/mrm.26759.
[2] Kim D, Dyvorne HA, Otazo R, et al. Magn Reson
Med. 2012; 67: 1054-1064.