Synopsis
We
investigated Polyvinylpyrrolidone (PVP) as an alternative to sugar to control relative
permittivity in tissue-mimicking MR phantoms. We constructed a two-compartment
phantom filled with water solutions of PVP and NaCl, the latter used to control
conductivity. A lower amount of PVP than sugar is required, allowing low
permittivity materials to be realized. While signal decreases rapidly in sugar-based
phantoms, PVP materials have long T2*/T2, making PVP-based
phantoms suitable for the validation of MR-based electrical properties mapping
techniques that rely on high SNR of signal and B1+ maps. PVP
solutions are relatively inexpensive, easy to mix and do not require
preservatives. TARGET AUDIENCE
Researchers interested in the construction of
tissue-mimicking MR phantoms.
PURPOSE
Tissue-mimicking
magnetic resonance (MR) phantoms with known electrical properties (EP) can be useful
tools for many applications including SAR calibration[1] and to validate
EP mapping techniques[2][3].
Sugar and NaCl
are inexpensive and accessible ingredients that are commonly used in water
solutions to control relative permittivity (εr) and conductivity (σ) of phantoms, respectively[4]. However,
the large quantities of sugar needed to reduce εr have the undesirable effects of introducing unwanted
phase gradients and shortening the T2*, which can result in
impractically low SNR[5]. This can be especially troublesome for EP
mapping techniques that rely on local derivatives of signal and B1+
maps[2][3].
In this work, a
water-soluble polymer Polyvinylpyrrolidone (PVP), previously introduced for diffusion
phantoms[6][7], is investigated as substitute for sugar to control εr in a two-compartment MR phantom.
METHODS
Tissue-mimicking
materials. We used NaCl (Sodium
Chloride – anhydrous, free-flowing, Redi-Dri
TM, ACS reagent, ≥ 99%,
Sigma-Aldrich
®) to control σ, PVP (Polyvinylpyrrolidone - average mol
wt 40,000, Sigma-Aldrich
®) to vary ε
r and distilled water as solvent. The target EP for the two phantom
compartments at 300 MHz were ε
r = 53.5 and 69.3, σ = 0.6 and 0.9 S/m, to mimic liver (Material A) and heart (Material B) tissue,
respectively
[8]. Water,
PVP and NaCl (Table 1) were mixed together at room temperature and stirred in
order to facilitate complete dissolution of the PVP powder. Then, we let the
solution stand for about 48 hours.
EP measurements. The EP of the two materials were measured
with a dielectric probe (Agilent 85070E slim-probe kit) in the frequency range
200-400 MHz (801 data points). The measurements were performed at the temperature
of our 7T MR scanner room (16°C).
Phantom
construction. We designed
and 3D printed an empty cylinder (diameter=12.5 cm, length=15 cm) composed of two
identical halves that were glued together with a 0.5 mm plastic layer in the
middle to insulate the two compartments (Fig. 1). The two materials were poured
through two ports simultaneously to avoid deformation of the separation layer.
Experiments. We acquired gradient-echo (GRE) MR images of the phantom on a 7T
full-body scanner (Magnetom, Siemens Medical Solutions) equipped with an
8-channel pTx system, using 64x64x64 matrix size, FA=10, TE/TR = 2.5/50 ms, 0.3x0.3x0.3
mm
3 voxel size, and an 8-element Tx-Rx array
[9]. We
calculated B
1+ maps using the Actual Flip-angle Imaging (AFI)
technique
[10]. We measured T
1 using an inversion-recovery
pulse sequence (TI=25-3600 ms) and acquired a GRE slice (TR=100 ms, 1.0x1.0x5.0
mm
3 voxel size) repeatedly for varying TE (3-60 ms) to estimate
transverse relaxation time, for both the PVP-based phantom and a previously
constructed sugar-based phantom with similar EP
[11].
RESULTS
The measured EP for both materials are plotted
vs. frequency in Figure 2. At 300 MHz, we measured εr=55.3 and
σ=0.45 S/m, and εr=74,9 and σ=0.89 S/m, for Material A and B,
respectively. Figure 3 shows that signal decays rapidly for the sugar phantom
as TE increases and is completely dephased for TE=20 ms, whereas only
approximately 50% of the signal is lost for the PVP phantom. The short T2* of the sugar-based phantom
can be explained by the fact that a large amount of sugar was used (~1,5kg per one liter of dH2O
to achieve εr~50) and sugar creates a multi-peak spectra[12]
near the proton resonance that interferes with the signal. To confirm that the PVP-phantom provided
suitable SNR for EP mapping techniques, we tested it with the Local Maxwell
Tomography (LMT) technique[3]. Figure 4 shows the reconstructed maps
for εr (left) and σ (right). Mean values, measured in the central
region of the two compartments to avoid edge artifacts, were in relatively good
agreement with the true EP: εr,LMT=57 σLMT=0.59 S/m for Material
A, εr,LMT=78 σLMT=1.04
S/m for Material B.
DISCUSSION
We built a two-compartment PVP-based MR phantom
with EP that mimic human tissues. The SNR was higher than for a sugar-based
phantom with similar EP, indicating that PVP allows low relative permittivity phantoms
without compromising the SNR. PVP is relatively inexpensive, easy to dissolve
in water, does not require any preservative and smaller amounts are needed to
achieve low values of ε
r compared to sugar (PVP
[g]~100g vs.
Sugar
[g]~520g to achieve ε
r~69). Future work will include the
characterization of a general recipe for PVP phantoms for ranges of EP, with
corresponding measures of T
1, T
2 and
T
2*. We also plan
to construct a four-compartments phantom with EP of healthy and cancerous tissues
for validation of EP mapping techniques.
Acknowledgements
NSF CAREER 1453675, NIH P41
EB017183, NIH R01
EB002568
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