Abstract
Purpose
Functional neuroimaging of small cortical patches such as columns is essential for testing computational models of vision, but imaging from cortical columns at conventional 3T fields is exceedingly difficult. By targeting the visual cortex exclusively, we tested whether combined optimization of shape, coil placement and electronics would yield the necessary gains in SNR for sub-millimeter visual cortex fMRI.
Method
We optimized the shape of the housing to a population-averaged atlas. The shape was comfortable without cushions and resulted in the maximally proximal placement of the coil elements. By using small wire loops with the least number of solder joints, we were able to maximize the Q factor of the individual elements. Finally, by planning the placement of the coils using the brain atlas, we were able to target the arrangement of the coil elements to the extent of the visual cortex.
Results
The combined optimizations led to as much as 2-fold SNR gain as compared to a whole-head 32ch coil. This gain was reflected in temporal SNR as well and enabled fMRI mapping at 0.75mm resolutions using a conventional GRAPPA-accelerated GE-EPI.
Conclusion
Integrated optimization of shape, electronics and element placement can lead to large gains in SNR and empower sub-millimeter fMRI at 3T.
Keywords: magnetic resonance imaging, phased-array, fMRI, parallel imaging, shape optimization, ocular dominance columns, functional MRI, orientation columns, accelerated EPI
Introduction
Vision engages the largest portion of the human cerebral cortex and in multiple cortical areas is characterized by miniature functional units. For example, the two functional domains of the primary visual cortex (V1), namely orientation and ocular preference, are represented by columns that span 0.77mm to ~1mm (1,2). Functional units of higher level areas are also marked by small sub-units. Clusters approximating 1mm in size have been reported in high-level visual areas important for motion perception (3,4) and similarly small sized modules are believed to represent complex object information in high-level areas important for object recognition (5,6). Non-invasive functional imaging of these small modules requires imaging at resolutions finer than 1mm, a capability that is lacking at the large majority of research sites.
Using functional MRI (fMRI) and ultra-high field strengths, a number of studies have demonstrated feasibility of mapping one of the subunits of the human visual cortex, namely ocular dominance columns (7,8). For example, Yacoub and colleagues have demonstrated mapping ocular dominance columns in the human at 7T using a segmented spin-echo acquisition scheme, but only in subjects with a flat calcarine sulcus (9). Goodyear and Menon successfully used a segmented gradient echo acquisition scheme at 4 T to map out the ocular dominance columns (10). The methods used in these pioneering studies have seen very little extension, largely because of lack of access to ultra high-field scanners and the challenges associated with high-res image acquisition at such field strengths. Therefore sub-millimeter imaging of the visual cortex has remained largely elusive for the bulk of this large field of neuroscientists.
Increasing field strength is a sure way to improve fMRI contrast, albeit expensive. At ultra-high fields (~7T), enough gain in sensitivity is achieved to allow for sub-millimeter fMRI assuming suitable gradients and RF hardware. However, such tools are generally unavailable to the majority of vision researchers, and their effective implementation is not straight-forward (e.g., segmented EPI or 3-D segmented acquisitions). Imaging smaller voxels places high demands on SNR that, besides from increasing field strength, can only be achieved through improvements in RF reception.
Optimizing coil design for the posterior head has been attempted on at least three previous occasions. Petridou et al. as well as Adriany et al. both have developed 16-channel RF coils for high-resolution functional imaging at 7T, with Petridou et al. demonstrating sub-millimeter resolution functional imaging but in a small constrained region of the posterior head (11,12). Barth and Norris demonstrated very high resolution 3-D functional imaging of the occipital cortex with a customized 8-channel phased-array receiver coil at 3T (13).
Visual cortex imaging presents a particular opportunity for high acceleration rates with good SNR. The bulk of the visual cortex is close to the skull and constrained to the posterior of the head. Local increase of the receiver array density here could result in large gains in SNR and acceleration performance for this restricted region of the brain. In previous studies, we found approximately 40% SNR gain of increasing channel count from 32 to 64 with 65mm diameter loops (14), and gains of approximately 60% with channel count increase to 96-channel coil with 50mm loops in the cortex near skull (15). Further reducing loop sizes, while still using room-temperature conductors, forces new design choices in order to maintain sample-noise dominance, namely that the coil housing has to closely follow the subject’s head shape.
Because of the layout of the visual cortex and the restricted portion of the posterior skull that covers it, we sought to study the SNR gains of a densely packed open-faced array consisting of 42mm elements for targeted imaging of this area. The design choice to pack the available channels to only cover the visual cortex restricts our imaging plane to those that are approximately tangential to the posterior skull, in contrast to previous whole-head optimization approaches (14–17). This integrated optimization led to a two-fold increase in SNR for imaging the visual cortex as compared to a commercial 32-channel whole-head coil and allowed for sub-millimeter functional imaging using single-shot GRE-EPI.
Methods
Coil Construction
Coil Former and Housing
Because our goal was to focus and optimize the coil for visual cortex imaging, we were able to restrict the element placement to the head posterior. The resulting open-faced topology is ideal for vision research as it allows for placement of optics (mirrors, lenses, patches, etc.). Sockets were placed on the housing face to facilitate attachment of such optics.
A critical component of our development was the identification and implementation of the optimal coil former shape. The coil former was modelled based on a non-linear atlas of the International Consortium for Brain Mapping (ICBM atlas). The atlas used included a model of the neck as well, which allowed for optimal placement of the coils around the temporal lobe. A second consequence of this design was the subject comfort afforded by a contoured surface for resting the neck and head. The comfort afforded by the head and neck contours of our coil former allowed us to eliminate the need for padding. This further reduced the space between our elements and the head, contributing to greater sensitivity of the coil.
The layout of the overlapped circular coil elements was arranged by a hexagonal tiling pattern, which was printed onto the coil former together with standoffs to mount the preamplifiers and other coil electronic parts. Targeting the visual cortex as a region-of-interest, the tile size was adjusted appropriately to meet the desired number of 32 channels (Figure 1). The loop diameter of 42 mm was derived from the size of the hexagon tiles, where the loop diameter is slightly larger than the diameter of the circle which inscribes the vertexes of the hexagon. All helmet parts including its covers were printed in polycarbonate plastic using a rapid prototyping 3D printer (Fortus 360, Stratasys Ltd., Eden Prairie, MN, USA).
Circuits
42 mm diameter loops were constructed from tin-plated 16 gauge oxygen-free high thermal conductivity (OFHC) copper. Each loop contained bridges bent into the wire to allow the coil conductors to cross-over. Each loop was symmetrically divided with two gaps, where the discrete RF components were placed (see schematic circuit in (16)). The discrete components were mounted on small FR4 circuit boards, manufactured with a rapid prototyping circuit router (T-Tech-7000, T-Tech, Inc, Norcross, GA, USA), and then soldered to the loop conductor. These small circuit boards minimize mechanical stress between the loop wires and the ceramic capacitors (Series 11, Voltronics, Danville, NJ, USA). The tuning capacitor circuit board contained a variable capacitor (GFX2700NM Sprague Goodman, Westbury, NY, USA) to fine-tune the loop resonance to 123.25 MHz. The output circuit-board incorporated a capacitive voltage divider to impedance match the element’s output to an optimized noise-matched impedance, ZNM, required by the preamplifier (Siemens AG, Healthcare Sector, Erlangen, Germany). Additionally, the output circuit board used an active detuning circuit across the match capacitor consisting of a hand-wound inductor L and a PIN diode (Macom, MA4P4002B-402, Lowell, MA, USA) to provide a parallel resonant circuit at the Larmor frequency when the diode is forward biased. Thus, when the PIN diode was forward biased (transmit mode), the resonant parallel LC circuit inserted a high impedance in series with the coil loop, blocking current flow at the Larmor frequency during transmit. Preamplifier decoupling was achieved by firstly transforming the preamplifier’s input impedance to a low impedance (short-circuit) across detuning trap, which secondly, turned this parallel LC circuit into a high-serial impedance in the coil loop. Preamplifier outputs were connected to a cable trap to suppress common mode currents and to avoid interaction with the radiofrequency (RF) transmit system. More details of the RF coil circuitry are given in (16).
Bench Measurements
Bench measurements verified the element tuning, active detuning, nearest-neighbor coupling and preamplifier decoupling for each coil element. Additionally, the ratio of unloaded-to-loaded quality factor (QU/QL) was obtained with a coil element under test placed both external to the array assembly and within the populated but detuned array.
Active detuning was measured with an S21 measure between two decoupled (~80dB) inductive probes slightly coupled to the array element under test. Nearest neighbor coupling was measured using a direct S21 measurement between pairs of elements using coaxial cables directly connected to the preamplifier sockets of the two elements under test. The overlap between nearest neighbors was empirically optimized, while watching the S21 measure between the two loops under test. When measuring the S21 between an adjacent pair, all other elements of the array were detuned.
The preamplifier decoupling of a given loop was measured with all other loops detuned. Preamplifier decoupling was measured as the change in the double-probe S21 when the preamplifier socket was first terminated with the powered low impedance preamplifier and secondly with a power matched terminator (18).
MRI data acquisition and reconstruction
Data were acquired on a 3-Tesla clinical MRI Siemens scanner (MAGNETOM, Trio a Tim system, Siemens AG Healthcare Sector, Erlangen, Germany) with 40 mT/m maximum amplitude gradient strength and a maximum slew rate of 200 mT/m/ms. SNR, g-factor, and noise correlation measurement were obtained from in vivo scans. For all measurements the body coil was used for transmit. These measurements were compared to a commercially available 32-channel whole-head coil using the same subject with identical slice prescription (atlas-based auto-align). Gradient-echo images were used to acquire an SNR map (Repetition Time (TR) = 300 ms, Echo Time (TE) = 15 ms, Flip Angle (FA) =20°, slice thickness (SL) = 3mm, slice count = 35, Matrix (M): 64×64, Field-of-View (FOV): 192×192 mm2, Bandwidth (BW) = 200 Hz/pixel). Noise covariance information was acquired using the same pulse sequence but with no RF excitation. The SNR maps were calculated using the noise-covariance weighted root sum-of-squares (cov-RSS) of the individual channel images, where the weights utilize coil sensitivity maps and noise covariance information (19,20). The SNR data was co-registered to a T1-weighted multi-echo MPRAGE (21) acquired using a whole-head coil; TR = 2.51 s, TI=1.2 s, FA=7°, four echoes with TE=1.64 ms, 3.5 ms, 5.36 ms, and 7.22 ms; 192 × 192 × 176 matrix with 1 mm isotropic voxel size, BW = 651 Hz/pixel, R=3). A 3-D surface representation was reconstructed from the MEMPRAGE image using FreeSurfer (22,23) and used to visualize the SNR data on the cortical surface. The SENSE g-factor maps were calculated from the complex coil sensitivities and noise covariance matrix to assess noise amplification in parallel image reconstruction (24). For g-factor calculations an oblique-coronal slice prescription was used, similar to that applied in visual cortex fMRI acquisition schemes.
Coil stability was evaluated on a spherical phantom using single-shot gradient echo EPI time series (FOV = 200×200 mm2, TR/TE/FA=1000 ms/30 ms/90°, BW=2298 Hz/pixel, M: 64×64, 16 slices of 5 mm each, 500 measurements). Peak-to-peak variation in the signal intensity was averaged over a 15-pixel square regions of interest positioned in the center of the phantom after the removal of linear and quadratic trends from the time series (25).
Temporal SNR (tSNR) was measured at two resolutions—1 mm and 2 mm isotropic—using single-shot echo planar gradient echo acquisitions with GRAPPA acceleration. For the 1 mm images, acquisition parameters were TR/TE/FA=250 ms/33 ms/33°, 3 × 1 mm slices acquired interleaved with 0.1 mm slice gap, FOV=128×128 mm, M: 128×128, BW= 1086 Hz/pixel, echo spacing=1.05 ms, R=3 acceleration with fat saturation. For the 2mm images, the same parameters were used with the following exceptions: M: 64×64, 3 × 2 mm thick slices acquired with 0.2 mm slice gap. During each measurement, 320 volumes were acquired from the posterior occipital cortex while subjects viewed two blocks of 10 seconds visual stimulation, followed by 30 seconds of rest. The 240 volumes corresponding to the rest period of the hemodynamic response function were used for the tSNR measurements (26). The tSNR measurements were carried out on the visual cortex-optimized coil as well as vendor-supplied whole-head 32-channel coil —therefore a total of four tSNR measurements were carried out. To calculate tSNR, measurement volumes were first assessed for motion using AFNI’s (27) 3dvolreg motion correction tool, but motion was negligible in all runs and therefore motion correction was not applied. The mean of all images was then divided by the standard deviation of the images voxel-wise. A manually-drawn mask was used to exclude non-brain voxels in the tSNR estimates.
The coil underwent a battery of tests that assessed safety for the subjects. To check whether active detuning during transmit phase was sufficient, the power needed to achieve the adjustment flip angle (180°) was measured in a phantom with and without the receive coil present. The ratio of these two measures was required to be between 0.9 and 1.1. The coil was also tested for heating. After switching off the SAR monitor and the gradient stimulation monitor, measurements were made of the temperature increase in the coil caused by RF transmit power being absorbed by the receive circuitry or heating by induced currents from the gradient switching. The detuned coil and phantom were scanned for 15 min with a body coil B1-field of 30 μT applied at a 10% duty cycle and repetition time of 60 ms; an RF power level well above the SAR limit.
Sub-millimeter functional MRI at 3T was successfully carried out using the visual cortex coil. For these fMRI acquisitions a standard single-shot gradient-echo EPI protocol was used to acquire images at 0.75 mm isotropic resolution with the following parameters TR/TE/FA=3000 ms/31 ms/90°, fat saturation, FOV: 160 mm × 160 mm, M: 214 × 214, partial Fourier = 6/8, R=4, BW=834 Hz/pixel. The images were reconstructed with the standard online Siemens EPI and GRAPPA reconstruction. During the acquisition, the subject viewed a stimulus that was back projected on a translucent screen at the back of the scanner bore and reflected onto the eyes with a mirror placed just above the head coil. The stimulus consisted of an alternating pattern of 30 s of the movie “Despicable Me” with 30s blank screen, with the alternation occurring 5 times. The images were slice-time and motion-corrected but were not smoothed. Statistical parametric maps were generated using AFNI’s 3dDeconvolve program, which fits a model time-series consisting of the canonical hemodynamic response function convolved with the movie onsets. The exact same procedure was followed for acquiring and analyzing comparison data from the 32ch whole-head vendor-supplied coil. In order to directly compare the two datasets, the results of the analysis from the visual cortex coil were rigidly co-registered to the whole-head data.
Results
The 42 mm diameter coil elements showed a QU/QL-ratio of 273/114=2.3 and 258/123=2.1, for a single isolated coil loop and a loop surrounded by its six non-resonant neighboring elements, respectively. QU/QL-ratio shows that the sample and component losses contribute almost equally to the image noise, for these small diameter loops with limited tissue volume under each element. In addition, upon sample loading a frequency drop of 0.3 MHz was measured with an isolated coil element.
All safety tests were successfully passed. For assessing active detuning efficiency, the ratio of transmitted power with and without the coil present was 1.03. The temperature increase in the coil caused by RF transmit power being absorbed by the receive circuitry or heating by induced currents from the gradient switching was <2 °C. Stability test indicated a peak-to-peak variation of 0.2% over a 15 × 15 pixel ROI for 500 time-points for 3×3×5 mm resolution EPI (after de-trending).
Figure 2 shows a representative noise correlation matrix obtained from noise-only phantom images. The noise correlation ranged from 0.2% to 42% with an average of 13%. Bench tests showed a range of decoupling between nearest neighbor elements from -12 dB to -21 dB with an average of -14 dB, which is improved by additional reduction of 19 dB via preamplifier decoupling. Furthermore, active PIN diode detuning resulted in 40 dB isolation between tuned (PIN diode forward biased) and detuned states (PIN diode reverse biased) of the array elements.
Figure 3 shows volume- and surface-based maps of the obtained visual cortex SNR of the constructed coil and a commercial 32-channel whole brain array coil. The representative sagittal slice SNR map comparison was measured with the same subject. In the target region, the dedicated visual cortex coil shows a 2-fold SNR improvement compared to the whole head 32-channel coil. The surface-based SNR map depicts the SNR gain of the visual cortex coil over the whole-head coil.
Figure 4 shows the comparison of inverse local g-factor maps in an oblique-coronal plane (as typically used for visual cortex fMRI) for one-dimensional accelerations derived from coil sensitivity profiles and noise correlations from the in vivo measurements. The dedicated 32-channel visual cortex coil produces overall lower g-factors, roughly providing a 1.5 additional unit of acceleration for a given noise amplification factor, when compared to a 32-channel head coil. For example, for R = 3 the constructed coil showed an average of 28% less noise amplification. The combination of reduced G-factor and improved occipital cortical SNR translates to improved image quality in visual fMRI studies.
Figure 5 reports the mean and maximum tSNR estimates for 1 mm and 2 mm isotropic resolution GE-EPI acquisitions made with the vendor-supplied 32-channel coil and the visual cortex coil, as well as representative tSNR maps for each of those measurements. Temporal SNR in the posterior occipital cortex was approximately 2-fold higher on average with the visual cortex coil than the vendor supplied whole-head coil. The maximum SNR estimates in this brain area are even higher—approximately 2.5-fold greater in this cortical area with the optimized coil than with the standard 32-channel whole-head coil. The tSNR gain from the whole-head to the visual cortex coil was higher for the 1 mm acquisitions, likely due to decreased partial volume effects at the higher resolution.
Sub-millimeter fMRI at 0.75 mm isotropic resolution yielded excellent image quality (Figure 6, top row) and was usable for fMRI measurements. Without spatial smoothing, activity-related signal changes were observed in the posterior occipital cortex in response to the 30s on, 30s off movie stimulus, suggesting that even with such small voxels, fMRI responses can be robustly measured with appropriate hardware at 3 T (Figure 6, bottom row). In contrast to the robust fMRI signal change that was measureable with the visual cortex coil, the same paradigm resulted in negligible pattern of activity when measured using the whole-head coil (Figure 6, bottom row).
Discussion
In this study we constructed and characterized a shape-optimized visual-cortex targeted 32-channel receiver array coil. Through weighted design choices that sacrifice flexible imaging planes for higher SNR and better acceleration, dense packing of small loops covering the visual cortex yielded a doubling of SNR in this region of the brain. The SNR gains were sufficient for sub-millimeter fMRI at 3T, opening the way for new studies on the microstructure of cortical visual function.
Given that previous studies with dense arrays (64–channel and 96-channel) only yielded between 40% to 60% cortical SNR gain over a 32-channel whole-head, respectively, we had not anticipated a doubling of SNR with the visual cortex coil—the previous coils (14,15) utilized loops that were of similar material and electronics, although our 42mm diameter loops are slightly smaller compared to the 96-channel whole-head coil (15). However our previous whole-head coils did not specifically optimize the shape of the housing to the extent carried out here. Therefore we suggest that shape optimization can be at least as important as electronic considerations in boosting SNR in phased-array coil design, particularly when one region of the brain is targeted at the cost of the flexibility of whole-head imaging.
The 32-channel visual cortex coil was designed for stability in both highly accelerated and high-resolution functional imaging on a clinical 3 T scanner for robust daily use. The array coil performance was evaluated via (i) bench-level measurements such as QU/QL-ratios, tuned-detuned isolation, and neighbor coupling, (ii) system-level validations which included component heating, transmit field interactions, and stability measurements, and (iii) in vivo brain performance tests, which were carried out by pixel-wise SNR maps, g-factor maps, noise correlation, tSNR, as well as sub-millimeter functional imaging.
A number of technical issues arise in the implementation of large channel-count arrays employing relatively small element sizes (such as the 42 mm diameter elements used here). In particular, the inter-element decoupling becomes more difficult and time-consuming as the element density increases. Additionally, maintaining a sufficient QU/QL-ratio becomes problematic. For example, while a whole-head 32-channel adult coil with a loop diameter of ~90 mm can be constructed out of flexible circuit material, array coils with smaller sized elements show significant eddy current losses in the flat circuit board conductors of the neighboring elements, leading to a lower QU/QL-ratio and diminished SNR (15,28). Spatially sparse wire conductors and carefully chosen location of the preamplifiers and their motherboards with at least 30 mm from the loop elements reduces the losses in these copper components. Also, the ability to mechanically optimize the overlap between two neighboring loops by bending the wire facilitated the element decoupling procedure. Despite these optimizations, the unloaded Q of a given loop was measurably diminished when the loop under test was placed in an array configuration, suggesting that losses within the conductors of neighboring elements were still present. Nonetheless, the QU/QL = 2.1 for our coil suggests that electronic noise and the sample noise is equally distributed. A frequency drop of 0.3 MHz upon sample loading, measured with an isolated coil element (no neighbors present) of the 32-channel coil, indicates some imbalances in how the sample and coil interact through electric and magnetic fields. This source of loss could be compensated with more equally distributed series tuning capacitors to further balance the electrical field around the loop. When loop sizes are small, additional series capacitors increase the effective series loop resistance (28), which in turn reduces SNR. The practical implementation of higher capacitor counts in high-density array coils is also seriously challenging.
To image the function of small brain structures accurately, both high-resolution scans and high SNR values are required. The BOLD-fMRI contrast-to-noise ratio can be expressed as the product of the tSNR and the fractional change in relaxivity, R2*, during activation (ΔR2*/R2*) (29). Since the latter is determined mainly by biology, tSNR can be increased by improving acquisition hardware and/or field strength. The latter is both expensive and introduces its own challenges, while hardware optimization can be economical and effective, albeit restricted to a region of interest, in this case, the visual cortex. For high-resolution accelerated scans, this means optimizing the intrinsic detection sensitivity (the effective B1- of the array coil), the g-factor of the accelerated image while maintaining temporal stability.
Temporal stability is critical for highly accelerated imaging. For example, GRAPPA kernels are trained on multi-shot data to match the echo-spacing of the accelerated data and multi-shot sequences are intrinsically more sensitive to temporal instabilities than single shot sequences. This means that temporal instabilities inadvertently reduce tSNR both directly by modulating the single shot data and indirectly by increasing the g-factor. Therefore high-resolution fMRI acquisitions using GRAPPA demand both maximal stability and sufficient image encoding capabilities in order to allow for detection of small ΔR2*/R2*.
The developed coil provides both a high time-course stability of 0.2% peak-to-peak and overall low noise amplification when using fMRI relevant acceleration factors (R=3, R=4). Furthermore, the high SNR of the multiple small elements can be invested into sub-millimeter resolution, which brings the tSNR into a thermal noise dominated regime by reducing the physiological noise (the amplitude of which scales with the MR signal strength in a given voxel (30)). Therefore, acquisitions at higher resolutions have the additive advantage of reducing the associated time-series artifacts caused by unwanted physiological noise contributions (cardiac and respiratory fluctuations) resulting in increased sensitivity. In addition to increased localized activations and the ability to resolve the visual cortex in its smallest modules, higher resolution fMRI acquisitions allow for less through-plane signal dephasing, limited partial volume effects and improved biological point-spread-function (PSF) of the BOLD effect. This isolation process and the achieved high spatial specificity, ultimately, allow us a better understanding of intrinsic properties of functional networks in both stimulus-related and spontaneous neural activities.
Conclusion
By optimizing the shape of the MRI coil to optimally fit the head, and by guiding the placement of small-diameter elements with a surface-based 3-D model of the brain in the skull, we were able to realize substantial gains in SNR and performance for imaging of the human visual cortex. The coil performance was adequate for functional imaging in the sub-millimeter range using a conventional GRAPPA-accelerated GRE-EPI sequence.
Acknowledgements
This research was supported by NIH grant P41RR14075, and an internal award from the Research Institute of the McGill University Health Centre to Reza Farivar. We thank Drs. Andrew Janke, Vladimir Fonov, and Louis Collins for their help with head image data.
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