Abstract
Purpose
To develop a chemical shift magnetization transfer (CSMT) MRI method to provide accurate MTR measurements in the presence of fat.
Methods
Numerical simulations were performed to compare MTR measurements at different echo-times (TEs) for voxels with varying fat/water content. The CSMT approach was developed using water fraction estimates to correct for the impact of fat signal upon observed MTR measurements. CSMT method was validated with oil/agarose phantom and animal studies.
Results
Simulations demonstrated that the observed MTRs vary with water fraction as well as with the TE dependent phase difference between fat and water signals; simulations also showed that a linear relationship exists between MTR and water fraction when fat and water signals are in-phase. For phantom studies, observed MTR decreased with increasing oil fraction: 42.41 ± 0.54, 38.12 ± 0.33, 32.93 ± 0.56 and 26.08 ± 0.87 for 5 % to 40 % oil fractions respectively, compared to 42.63 ± 1.04 for phantom containing 4% agarose only. These offsets were readily corrected with the additional acquisition of a water fraction map.
Conclusion
Fat fraction and TE can significantly impact observed MTR measurements. The new CSMT approach offers the potential to eliminate the effects of fat upon MTR measurements.
Keywords: Magnetization transfer, fat, chemical shift, fat water separation
Introduction
Magnetization transfer (MT) is a dynamic process that involves the exchange of magnetization between sub-populations of free water protons and those water protons bound to macromolecules (e.g., proteins and phospholipids)(1). The composition of macromolecules can vary widely between different tissues and disease states. MR pulse sequences can be sensitized to the MT phenomenon thus producing images with marked signal contrast between different tissue types. MT MRI has been widely used for the study of neurological diseases, such as multiple sclerosis (2) and Alzheimer’s disease (3) and more recently for in vivo assessments of tissue fibrogenesis in animal models of cancer (4) and Crohn’s disease (5). However, application of MT MRI approaches for diagnostic abdominal imaging has been limited, particularly for examination of the liver. Accurate differentiation of healthy and fibrotic tissues (6–8) with conventional MT MRI methods may be difficult due to the common existence of fat within abdominal organs.
An effective fat elimination technique should increase the precision of MT measurements. Fat-suppression and water- or fat-selective imaging have been used in many routine clinical examinations to reduce the so-called chemical shift artifacts for improved tissue characterization (9, 10). However, fat-suppression and water- or fat-selective pulses may cause additional MT effects and/or alter the steady-state of MT sequences. Furthermore, these methods can be sensitive to both static field (B0) and/or radiofrequency field (B1) heterogeneity. It has been reported that MT saturation does not affect fat signal due to the absence of an MT pathway from fat to water or from fat to protein and membrane phospholipid protons (11). A fat-free MR image sensitive to MT in fatty tissues was previously reported (12) and most recently, MT ratio (MTR), the overall description of the MT phenomenon, was found to vary according to pulse sequence echo time and water fraction in the presence of fat (13, 14). In addition, MT-weighted images of human optical nerve were found less affected by the surrounding tissues (e.g., orbital fat and meninges) when corrected with a water image derived from three-point Dixon method (15). The latter studies suggest that a systematic investigation of fat effects upon MTR measurements is clearly warranted. A technique that can eliminate the effect of fat signal interference should expand applications of MT MRI to a broad range of diseases that can include simultaneous fat deposition and pathologic changes in macromolecular content, for example, non-alcoholic steatohepatitis (16), fibrocystic breast changes (17), Crohn’s disease (18) , and Polycystic Ovarian Syndrome (19).
In this study, we explore the mechanism of how fat signal can impact MTR measurements and develop a new chemical shift magnetization transfer (CSMT) MRI technique that combines chemical shift based fat/water separation and magnetization transfer saturation techniques to provide accurate MTR measurements even in the presence of fat. Numerical, phantom, and animal studies were performed to demonstrate the feasibility of the newly proposed method.
Theory
The MRI signal from a voxel at the presence of fatty tissue, free water, and macromolecules includes the signals from both water and fat. While neglecting the contribution from relaxation, the MRI signal can be expressed as
(Eq. 1) |
M is the total MRI signal in complex form. Ma is the signal from the total protons from both free water and fatty tissue. α is the water proton fraction. Δf is the chemical shift between water and fat. TE is the echo time.
Since water does not exchange magnetization with triglyceride or fat protons in the tissue (11), the observed MTR (MTRobs) can be expressed as
(Eq. 2) |
(αMasat represents the signal contributed via MT from macromolecules to the water fraction following MT saturation. Eq. 2 indicates MTRobs changes with both TE and α.
While water and fat are in phase, MTRobs becomes
(Eq. 3) |
Msatw and Mw represent the signal intensity from water with and without MT saturation, respectively. We define the true MTR (MTRtrue) as the MTR value without the interference of fat, that is,
(Eq. 4) |
Thus, from Eq. 3 and 4, MTRtrue becomes
(Eq. 5) |
Eq. 5 indicates that a correction factor, α, can be applied to MTRobs to generate MTRtrue when fat and water signals are in-phase. With the assumption of an equal relative proton density between water and fat, one can approximate α for each voxel based upon corresponding water signal fraction measurements performed using chemical shift based fat/water separation techniques (20–22).
Methods
Simulation
Numerical simulations were performed using Matlab software (MathWorks, Natick, MA). For demonstration purposes, we plotted Eq. 1 & 2 with an assumption of a single MTRtrue of 60, water-fat chemical shift of 3.5 ppm, water fractions ranging from 0 to 1, and product of TE and B0 ranging from 0 to 20 ms•tesla.
Phantom
Four oil/agar phantoms were constructed with peanut oil (as a mimic of body fat) with volume fractions of 5%, 10%, 20%, and 40% and agarose concentrations of 4% (weight-by-volume) respectively. Four fluorocarbon/agar phantoms, for comparison, were composed of a fluorocarbon-based fluid — Fluorinert electrical liquid (3M, MN) with volume fractions of 5%, 10%, 20%, and 40% and agarose concentrations of 4% respectively. In short, 4% agarose gel was heated to liquid phase. Peanut oil or Fluorinert and the agarose gel were then emulsified manually by pumping the mixture back and forth through a three-way stopcock (Cook, Bloomington, IN) for 2 minutes. The mixture was placed in a 20 mL scintillation vial (Sigma-Aldrich, St. Louis, MO) within 4° refrigerator for the gel to form. An additional three 20 mL scintillation vials were filled with peanut oil, Fluorinert electrical liquid, and 4% agarose to serve as controls. A 0.03 mM MnCl2 (Sigma-Aldrich, St. Louis, MO) solution was used to evaluate the direct saturation effect of the MT pulse (23).
Phantom MRI
MRI studies were performed using a 3-T MR scanner and a 12-channel head coil (Magnetom Trio; Siemens, Erlangen, Germany). The B0 field was carefully shimmed prior to each CSMT measurement to migrate potential effects of B0 inhomogeneity. For chemical shift based fat/water separation, a 3D multiple gradient echo (MGRE) pulse sequence was used with the following acquisition parameters: repetition time (TR) of 20 ms, echo time (TE) of 1.19, 2.46, 3.69, 4.92, 6.15, and 7.38 ms; 128 × 104 matrix; 140 × 114 mm field of view (FOV); 5° flip angle (FA); 5 mm section thickness; 1030 Hz/pixel bandwidth (BW); and 16 averages. MT acquisitions were performed using a single slice two-dimensional spoiled gradient-echo acquisition with following parameters: TR/TE, 36/2.24 ms; FA, 9°; BW,1030 Hz/pixel; matrix, 128 × 104; slice thickness, 5 mm; FOV, 140 × 114 mm; and 16 averages. MT saturation was applied using a Gaussian RF pulse with pulse length of 10 ms, FA of 800°, and 23 off-resonance frequencies from 0 to 100 kHz. To evaluate the direct saturation effect and MT saturation power, z-spectra were obtained with 23 offset frequencies from 0 Hz to 100 kHz and three MT saturation power levels (FA = 400°, 600°, and 800° respectively). One MT acquisition was performed with TE = 3.36 ms (all other acquisition parameters remaining the same) to show MT weighted images in which water and fat signals are out of phase.
Animal MRI
The animal model MRI experiments were carried using a New Zealand white rabbit under a protocol approved by the Institutional Animal Care and Use Committee (IACUC). The rabbit was placed in a 12-channel head coil within same 3-T MR scanner used for phantom studies. The same 3D MGRE sequence was applied for fat/water separation with the acquisition parameters: TR, 20 ms; TE, 1.19, 2.46, 3.69, 4.92, 6.15, and 7.38 ms; FA, 6°; BW, 1040 Hz/pixel; matrix, 192 × 150; FOV, 222 × 173 mm; slice thickness, 3 mm; and 1 averages. The MT sequence was applied with following parameters: TR/TE, 36/2.24 ms; FA, 9°; BW,1030 Hz/pixel; matrix, 128 × 100; slice thickness, 3 mm; FOV, 222 × 173 mm; and 16 averages. MT saturation was applied using a Gaussian RF pulse with pulse length of 10 ms, FA of 600°, and an off-resonance excitation frequency of 1500 Hz.
Data Analysis
Post-processing was performed offline using Matlab software (MathWorks, Natick, MA). A multi-step adaptive fitting based fat-water separation method was used to extract the voxel-wise oil and water volume fraction maps (24). In brief, Levenberg-Marquardt non-linear fitting was used to fit the magnitude of the complex signal of the multi-echo data according to a multi-peak chemical shift model. For each voxel, the water percentage was calculated along with the corresponding R2* value of the water-fat mixture. To obtain mean and standard deviation (SD) of MTR measurements within each phantom vial, voxel-wise MTR maps were produced and region of interests (ROIs) drawn to at the center of the MT-weighted image of each phantom. Once defined within one image, the ROIs were transferred to all corresponding MTR maps at each offset frequencies as well as the corresponding water fraction map. For each ROI, the MTRtrue from each oil/agar phantom was calculated using Eq. 5. The reference MTR (MTRref) was generated from MTRobs map of each fluorocarbon/agar phantom using ROI drawn at center of the phantom image. Direct saturation effects were evaluated using ROIs drawn within MnCl2 and pure peanut oil phantom MTRobs maps. Direct saturation was considered negligible if MTRobs was less than 5. The percentage errors for MTRobs and MTRtrue measurements relative to MTRref were calculated according to the following two equations: 100 × (MTRobs – MTRref)/MTRref and 100 × (MTRtrue – MTRref)/MTRref.
Results
Fig. 1 illustrates simulation results demonstrating the influence of water (or fat) fraction and TE upon MTR measurements (MTRobs). Fig. 1a indicates that the normalized MRI signal (M) varies from the minimum of zero, when water fraction is 0.5 and fat and water signal are opposed phase, to the maximum of 1 when fat and water are in phase. Simulated MTRobs (Fig.1 b) changes with water fractions as well with changes in TE•B0. Resulting MTRobs can be negative when water fraction is smaller than fat fraction and water and fat signals are not in phase (Fig. 1c). When water and fat signal are in opposed phase, the simulated MTRs values varied widely with changes in the water (or fat) fraction (turquoise line in Fig. 1c). MTRobs and water fraction were linearly related for those TE•B0 that resulted in in-phase fat and water signals (black line in Fig. 1c).
The phantom configuration is depicted in Fig. 2a with fluorocarbon/agar phantoms in the left column, oil/agar phantoms in the middle, and the other control phantoms — 0.03 mM MnCl2, 4 % agarose, pure peanut oil, and pure Fluorinert electrical liquid — in the right column. The water fraction map for all the phantoms with 4% agarose is shown in Fig. 2b. Decreased water fraction was observed for the four oil/agar phantoms with percentages of 94.3 ± 2.1, 88.3 ± 2.2, 79.5 ± 3.2, and 61.4 ± 2.4 for 5 % to 40 % of oil fractions. As shown in the representative MT weighted images (Fig. 2c), in which fat and water signals are in phase, pure Fluorinert produced no MR signal. Fluorocarbon/agar phantoms showed visibly lower signal intensities compared to the corresponding oil/agar phantoms. When fat and water signals are in phase, MTRobs for oil/agar phantoms (middle column in Fig. 2d) decreased with increasing oil fraction when compared to 4% agarose phantom and corresponding fluorocarbon/agar phantoms. MTRobs measurements for the four oil/agar phantoms were 42.41 ± 0.54 (mean ± SD), 38.12 ± 0.33, 32.93 ± 0.56 and 26.08 ± 0.87 for 5 % to 40 % oil fractions respectively. The 4 % agarose gel and fluorocarbon/agar phantoms demonstrated comparable MTRobs measurements of 42.48 ± 0.70 for 4 % agarose gel, and 43.34 ± 0.60, 41.20 ± 0.65, 41.51 ± 0.53, and 42.63 ± 1.04 for 5 % to 40 % Fluorinert in agarose gel, respectively. With the exception of pure peanut oil, comparable MTRs (shown in Fig. 2e) were obtained for these same oil/agar phantoms once the MTRobs map was corrected using the acquired water fraction map (Fig. 2b). Fig. 2f shows an MTR map acquired with fat and water signals out of phase (TE = 3.36 ms) resulting in MTRtrue measurements of 43.77 ± 2.54, 40.13 ± 1.51, 58.26 ± 0.71 and 101.66 ± 0.73 for 5 % to 40 % oil fractions respectively, and 43.32 ± 0.67 for 4 % agarose gel.
Z spectra (Fig. S1a [online]) show the direct saturation effect at various offset frequencies with MT saturation powers of 400°, 600° and 800° respectively. For pure peanut oil, direct saturation was observed for MT saturation frequencies less than 400 Hz (Fig. S1a [online]) for MT saturation power of 800°. An overall picture for visual comparison of MT effects upon all the phantoms used in this study at the different offset frequencies is shown in Fig. S1b [online]. Agarose gels showed higher MT saturation compared to MnCl2 and pure peanut oil at most offset frequencies (Fig. S1b [online]).
Fig. 3 illustrates MTRs at various MT pulse offset frequencies. For each MT pulse frequency offset, the MTRobs of agarose gel phantom was found to be greater than that of MnCl2 and pure peanut oil, for which direct saturation largely contributed to the signal changes (Fig. 3a). The direct saturation effect upon the pure peanut oil was less than 2 % with the MT pulse saturation of 800° and offset frequencies greater than 1000 Hz (shown in the mezzanine of Fig. 3a). For the four oil/agar phantom compositions (Fig. 3b), MTRobs decreased as the MT pulse frequency offset increased. Significantly lower MTRobs values were found for oil/agar phantoms with oil fractions of 10%, 20% and 40% than for agar and fluorocarbon/agar phantoms (Fig. 3b and c). For fluorocarbon/agar phantoms (Fig. 3c), MTRobs decreased as the MT pulse frequency offset increased, but similar MTRobs to those in agar-only phantoms was observed at all offset frequencies. Corrected MTRs (MTRtrue) for the oil/agar phantoms (calculated using Eq. 5) were markedly close to those measured for agarose-only and fluorocarbon/agar phantoms (Fig 3d). As indicated in Fig. 4, much smaller percentage errors were found between MTRtrue and MTRref measurements for all compositions of oil/agar phantoms compared to the percentage errors between MTRobs and MTRref measurements at the corresponding MT offset frequencies.
The application of the CSMT method on a rabbit model is shown in Fig.5. The opposed-phase MR image (Fig. 5a) shows a sharply defined dark rim surrounding many of the visceral organs (the included arrows point to this fat-water interface at the kidney, skeletal muscle, and liver). The corresponding in-phase MR image (Fig. 5b) shows moderately increased susceptibility artifacts in the gas-filled stomach and intestines (arrows) compared with those on the opposed-phase image due to the longer echo time. Visceral and subcutaneous fatty tissues (red arrows) were clearly observed in the water-fraction map (Fig. 5c). The MT-weighted image (Fig. 5d) indicated higher MT saturation effects in the skeletal muscle, liver, and kidney compared to surrounding fatty tissue. The MTRtrue map (Fig. 5f) shows slight increases of MTR values in skeletal muscle, liver, and kidney comparing to the MTRobs map (Fig. 5e) because the major component of these organs in this rabbit is water as shown in the water fraction map (Fig. 5c).
Discussion
Numerical simulations demonstrated the mechanisms by which fat signal can complicate MTR measurements and a new CSMT method was developed to remove fat interference from these MTR measurements. The CSMT approach exploited the water fraction extracted from chemical shift based fat/water separation techniques to provide a correction factor permitting more accurate MTR measurements in the presence of fat. Using oil/agar phantom models we then demonstrated that the effects of various oil fractions can be significantly reduced using the CSMT approach to generate comparable MTR values to those of corresponding agarose gel-only phantoms (that contained no oil).
The evaluation of MT properties in tissues containing fat can be challenging. MTR measurements are well known to be sensitive to tissue collagen content and fibrosis (5, 25). However, MTR measurements have failed to serve as a specific marker of fibrosis in the liver (6–8). Coexistence of fibrotic tissue with inflammation and variable degrees of hepatic steatosis as well as motion artifacts during hepatic imaging were cited as possible causes of the inability of conventional MTR measurement to differentiate healthy and fibrotic livers (6, 7, 26). In our study, we demonstrated that the observed MTR can vary with changes in both water fraction and TE-dependent phase differences (Eq. 2, Fig. 1 and Fig. 2). According to these simulation results, there was a wide range for both M (Fig. 1a) as would be expected given phase differences and observed MTRs (Fig. 1b). When fat and water signals were not in phase, MT saturation could actually result in higher magnitude signal intensities if the water fraction was smaller in the voxel, thus leading to a negative observed MTR as shown in Fig. 1b and c. The complexity of observed MTR could offer a potential explanation for the failure of MTR measurements in liver fibrosis applications –fat and water signals were potentially not entirely in-phase according to the different TEs and MT sequences utilized for the studies (6–8, 27–29). However, clearly further in vivo studies in either pre-clinical models or patients will be necessary to rigorously clarify this impact and importantly validate that the proposed CSMT method can overcome prior limitations.
Theoretically, as shown in Eq. 5, CSMT methods can generate MTR measurements without interference from fat signals, thus, potentially helping to mitigate the effect of fat during MTR measurements in diseases such as non-alcoholic steatohepatitis wherein fatty tissue infiltration occurs simultaneously to changes in the macromolecular content (16). However, successful application of this method relies upon four key presumptions: 1) fat protons do not exchange magnetization with free water protons; 2) fat and water signals are in-phase at certain TEs; 3) accurate water and fat fractions can be accurately carried out; and 4) MT direct saturation effects on fatty tissue can be neglected. For this study carried out at 3-Tesla, a TE of 2.24 ms was chosen for the MT sequence to ensure signals from peanut oil and agarose gel were close to in-phase. Our results (Fig 3b) clearly showed that MTRobs decreased with the increase in peanut oil content. Additionally, our results indicated that peanut oil was less affected by the direct saturation of MT RF pulse than the MnCl2 solution that usually serves as the controls for tissue direct saturation effects (Fig 3a). The MTRs observed due to the direct saturation in peanut oil were negligibly small (< 2) with MT RF pulse power of 800° and offset frequencies greater than 1000 Hz (Fig. 3a), indicative of negligible direct saturation effects across the applied range of sequence parameters. By using the water fraction extracted from a fat/water separation technique as the correction factor, for those MT saturation powers and offset frequencies with minimal direct saturation on fat tissue, the CSMT method provided consistently accurate MTR measurements across a broad range of MT saturation offset frequencies (Fig. 3d). The small percentage errors observed between MTRtrue and those of corresponding controls (Fig. 4b) indicated our CSMT approach can effectively eliminate the interference of fat upon the MTR measurements. Additionally, the rabbit model results (Fig. 5) demonstrated the feasibility of our method for future in vivo and clinical studies. We observed higher MTR values for MTRtrue versus MTRobs in muscle, liver, and kidney tissues with latter results likely due the large water fraction within these organs.
For ideal MTR measurements, it would be preferable to use images with only MT contrast. However, in reality, it is almost impossible to have MR images from solely one contrast mechanism. Therefore, the water-only images extracted from the fat/water separation techniques that reflect signals from the proton density in the water fraction could be more straightforward for the MTR calculation. A potential alternative approach to our proposed method would be to individually solve for water fraction images at each offset saturation frequency (following acquisition of MT-weighted MGRE images for fat/water separation at each offset saturation frequency). Smith and Dorch et al reported MT measurements of the human optic nerve using water-only images extracted with Dixon method in order to minimize the impact of meningeal fat signal (15). However, the latter approach might have limitations if intending to produce MT weighted images across a broad range of offset saturation frequencies. The accuracy of these measurements would be adversely impacted by the low SNR within images acquired at strong MT pre-saturation power. In our CSMT approach, the correction factor is calculated from only one fat/water separation measurement and can be applied to all the related MTR measurements at different saturation offset frequencies. Our method should be less affected by low SNR conditions during strong MT saturation and can readily generate the proton density weighted images required for MT measurements by adjust scanning parameters such as short TR and small flip angle.
Our study had several limitations. First, the CSMT method was tested using oil/agar phantoms, though one animal model study was performed to demonstrate feasibility of the method. However, for in vivo applications particularly in clinical settings, multiple confounding factors, including B0 and B1 inhomogeneity (30–32), T1 effects (33), eddy current effects (34), and susceptibility induced fat-resonance shifts (35), need to be considered. The effect of B0 inhomogeneity, as one of the potential limitations of the current method, should be included in the model, particularly for potential applications to abdominal imaging of visceral organs. Also, for these initial feasibility studies we considered only a single resonant frequency for fat signals but additional studies to characterize of the impact of multiple fat signal resonant peaks (36) is clearly warranted. Therefore, further translational studies for in vivo validation will be necessary. Second, with low water fraction (high fat content) within a voxel, inaccurate water fraction estimation may lead to relatively high errors in MTRtrue estimations (as indicated in the pure oil phantom in Fig. 2e and f). For in vivo applications it may be necessary to consider evaluation of only those voxels above a threshold water fraction level to avoid inaccuracies and associated misinterpretation. Third, recent studies have demonstrated the potential to use fat saturation pulses less sensitive to B0 and B1 heterogeneity to produce fat suppressed MT contrast images (37, 38). Additional future studies will be valuable for rigorous comparison of these fat-suppression based MT methods to our proposed CSMT approaches for quantitative MTR measurements. One additional limitation was that MT weighted images and fat/water separation images were acquired using two separate sequences. Integration of MT and fat/water separation within a single MRI sequence may be critical during clinical applications to both reduce scan times as well as avoid any misregistration that might occur due to motion between serial measurements.
In conclusion, we demonstrated the mechanism how fat fraction and TE can significantly impact observed MTR measurements and validated the feasibility of a new CSMT approach to eliminate the effects of fat upon MTR measurements. The CSMT technique could potentially be applied to provide more accurate MTR measurements in disease settings that involve both alterations in fat and macromolecular tissue content.
Supplementary Material
Acknowledgments
This publication has been funded in part by Grant Number CA181658 and CA159178 from the National Cancer Institute (NCI).
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