http://orcid.org/0000-0002-4591-2375
Figures
Abstract
Background
Placental elasticity may be modified in women with placental insufficiency. Shear wave elastography (SWE) can measure this, using acoustic radiation force, but the safety of its use in pregnant women has not yet been demonstrated. Transient elastography (TE) is a safer alternative, but has not yet been applied to the placenta. Moreover, the dispersion of shear wave speed (SWS) as a function of frequency has received relatively little study for placental tissue, although it might improve the accuracy of biomechanical assessment.
Objective
To explore the feasibility and reproducibility of TE for placental analysis, to compare the values of SWS and Young’s modulus (YM) from TE and SWE, and to analyze SWS dispersion as a function of frequency ex vivo in normal placentas.
Materials and methods
Ten normal placentas were analyzed ex vivo by an Aixplorer ultrasound system as shear waves were generated by a vibrating plate and by using an Aixplorer system.
The frequency analysis provided the value of the exponent n from a fractional rheological model applied to the TE method. We calculated intra- and interobserver agreement for SWS and YM with 95% prediction intervals, created Bland-Altman plots with 95% limits of agreement, and estimated the intraclass correlation coefficient (ICC).
Main results
The mean SWS was 1.80 m/s +/- 0.28 (standard deviation) with the TE method at 50 Hz and 1.82 m/s +/-0.13 with SWE (P = 0.912). No differences were observed between the central and peripheral regions of placentas with either TE or SWE. With TE, the intraobserver ICC for SWS was 0.68 (0.50–0.82), and the interobserver ICC for SWS 0.65 (0.37–0.85). The mean parameter n obtained from the fractional rheological model was 1.21 +/- 0.12, with variable values of n for any given SWS.
Citation: Simon EG, Callé S, Perrotin F, Remenieras J-P (2018) Measurement of shear wave speed dispersion in the placenta by transient elastography: A preliminary ex vivo study. PLoS ONE 13(4): e0194309. https://doi.org/10.1371/journal.pone.0194309
Editor: Antoine Nordez, Universite de Nantes, FRANCE
Received: June 5, 2017; Accepted: February 28, 2018; Published: April 5, 2018
Copyright: © 2018 Simon et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Data Availability: All relevant data are within the paper and its Supporting Information files.
Funding: The authors received no specific funding for this work.
Competing interests: The authors have declared that no competing interests exist.
Introduction
In clinical practice, placental function is generally assessed by the following standard ultrasound (US) measurements: fetal growth, amniotic fluid index, fetal Doppler indexes (umbilical artery, middle cerebral artery, ductus venosus, and aortic isthmus), and the uterine artery Doppler. The placenta is usually considered primarily from a hemodynamic perspective, but can also be studied as a tissue by investigating its biomechanical properties. US elastography is a relevant tool for such an analysis, because it makes it possible to observe by US waves the deformation of an environment subjected to a constraint. This technology has already been successfully applied in many fields of medicine, such as hepatology [1,2], breast cancer [3], and renal [4], prostate [5] and thyroid conditions [6]. One of the other organs that are candidates for elastography (for example, skin [7], vessels [8], and brain [9]) is the placenta. Moreover, evidence supports the hypothesis that placental insufficiency (preeclampsia or intrauterine growth restriction (IUGR)) may modify elasticity. Significant changes in placental microarchitecture have already been described in these situations, including, for example, increases or decreases in the number of villi ramifications and in fibrin deposits in term villi [10–18]. These changes may affect the stiffness of the entire placenta, probably from early pregnancy, and can potentially be detected by elastography.
Some authors have recently studied the placenta by US elastography [19–36], but we propose a new method for this analysis. The field of elastography covers many different US techniques, based on physical approaches that are sometimes quite distant from one another [37–40] (Fig 1). Two basic methods of elastography can be distinguished: quasi static and dynamic. The first, quasi static elastography, measures relative deformation of the target (strain ε), most often by applying a stress T with the probe. This method use the linear relation between stress and strain in an isotropic elastic tissue (T = Eε) with E the Young modulus. The inverse problem is difficult to solve because the stress T is unknown inside the tissue (T is only known at the surface of the body). The stiffness is then estimated qualitatively by measuring only the strain ε everywhere in the region of interest. The second, dynamic elastography, involves generating a shear wave and measuring its speed (shear wave speed: SWS) by an ultrafast US device to deduce the elastic modulus (most of the time, ultrafast imaging is necessary). There are two possible ways to generate this shear wave: either radiation force (point SWS measurement, also known as acoustic radiation force impulse ARFI quantification, or SWS imaging, for example ShearWave™ Elastography SWE™, Supersonic imagine, France), or external vibrators (shakers/actuators) for transient elastography (TE). Recently, ARFI and Supersonic Imaging SSI have been used for placental exploration [20–22,27,34,35], but the safety of applying US radiation force in vivo to pregnant women has not yet been demonstrated [41]. These methods generate a considerably higher thermal index (TI) than a conventional US examination does. For that reason, some authors have studied SWE™ on animals (pregnant baboons) rather than pregnant women [23,42]. Although the early data appear reassuring, it is currently too early to generalize the use of these techniques on pregnant women and their fetuses. TE methods, on the other hand, use US only in imaging mode and thus have the advantage of generating fewer thermal and mechanical effects than radiation force methods (which use US in both imaging and push modes). For that reason, they may be safer for the fetus. The use of external shakers/actuators for US elastography is common in other areas of medicine (e.g., in hepatology [43]) but not in obstetrics. Nonetheless, similar devices could be developed for pregnant women. Operators could place them on the woman’s abdomen, facing the uterus, while a US probe records the SWS.
In strain elastography (or quasi static elastography) (A), the operator press the tissue with imaging transducer. In the second case, the shear wave is generated by acoustic radiation force impulse excitation. Several methods use this technique: point shear wave speed measurement (average shear wave speed in a region of interest) or shear wave speed imaging (in ShearWave™ Elastography SWE™, pushes are applied in several zones, and the corresponding structure of diffraction is controlled) (B). The last method (C) is transient elastography: the shear wave pulse is generated by a surface impulse—thumper. In clinical practice, this technique is used by the Fibroscan™ 1-D system (Echosens, France), especially for the application of liver stiffness measurement.
TE methods have thus far not been applied to the placenta. While waiting to complete the safety data for the use of this type of vibrating shaker in pregnant women, we propose an ex vivo study of delivered placentas to assess the feasibility of a new 2D TE method and compare its results with those of SWE.
The second aim of our study is to analyze the SWS variation according to the frequency. Theoretical and physical considerations indicate that microscopic obstacles in a tissue may influence not only the absolute value of viscoelastic tissue parameters, but also their relation to frequency [44]. To date, among the elastographic methods that have been applied to the placenta, only one of them has analyzed the SWS as a function of frequency: a method called Shear Wave Absolute Vibro-Elastography (SWAVE) [36]. In our study, we propose to use a new method, different from SWAVE, to perform this frequency analysis. We hypothesize that this type of frequency analysis of SWS would provide additional information about the structure of the placental tissue. If so, it may be possible to improve the identification of placental insufficiency by using a tool more suitable for this tissue. In this preliminary feasibility study, we considered only normal placentas.
Materials and methods
Study population
The study sample included 10 normal placentas from pregnant women who gave birth vaginally between 37 and 41 weeks’ gestation. The local ethics committee Espace de Réflexion Ethique Région Centre ERERC specifically approved this study (RNI 2017–037). Participants provided their verbal informed consent. This consent was collected and archived in the study data by two of the authors (ES and FP). Written consent was not sought in accordance with French legislation. The procedure for obtaining consent was approved by the ethics committee. These women had no diseases, had singleton pregnancies, a normal-weight fetus during previous US scans (estimated fetal weight between the 10th and 90th percentile), a normal amniotic fluid index, and normal fetal Doppler findings (pulsatility indexes of the umbilical artery and the middle cerebral artery). The exclusion criteria were cesarean delivery, manual removal of retained placenta, preexisting or gestational diabetes mellitus, preexisting or gestational hypertension, preeclampsia, sonographic suspicion of IUGR, small-for-gestational-age newborn (birth weight below the 10th percentile), macrosomia (birth weight above the 90th percentile), fetal malformation, uterine malformation, or multiple pregnancy. In all cases, the gestational age was determined from the first trimester US scan, between 11 and 14 weeks’ gestation.
Table 1 presents the clinical characteristics of the study population.
Multi-frequency elastography system
The elastography method we developed is based on a previously published TE method [45], adapted to the placenta and extended to measure the dispersion of the shear modulus. The experimental setup was as follows: a rigid Plexiglas plate was used to produce mechanically a plane shear wave in the placenta (Figs 2 and 3). The plane shear wave propagates in the x direction along the aperture of the US probe. This shear wave is purely transversally polarized, i.e., the transient displacement induced by the wave to the tissue is only in the z direction. An ultrafast US system (Aixplorer™, Supersonic imagine, France) capable of acquiring 5000 frames per second was used with a 2.8 MHz linear probe (128 elements, Vermon SA, France) to record IQ (in-phase and quadrature) data (Pulse Repetition Frequency: 5 kHz). On each acquisition, the scanner triggered a signal generator (Tektronix AFG 31023), driving an electromechanical actuator (Bruel & Kjaer 4826). The plate was connected to the actuator generating a plane, low amplitude shear wave in the placenta. The signal use to drive the vibrator was a Gaussian shaped wave, providing a single, broadband acquisition [20–80 Hz]. The IQ data are obtained from the Aixplorer™ scanner and we finally recorded a 3D matrix IQ(x,z,t) with (Fig 2A and 2B).
The plate moves along the horizontal axis (z axis) (A). The probe is placed perpendicular to it, along the x axis. Beamformed demodulated IQ data is acquired with the scanner (B) and is only sensitive to Vz displacement velocity. Particle velocity map at a given time t0, confirming the plane nature of the shear wave (C). Particle velocity map for a given z0(D): Vz(x,z,t0). The slope of the curve provides a quick approximation of the group velocity. Then, we calculate the spatial FFTs of Vz(x,t) to obtain Vz(x,ω).
A. A placenta is folded in half in a specially designed box. The umbilical cord is extended out to prevent interference with the measurements. A plate produces the plane shear wave, which is recorded by the Aixplorer™ probe. B. Presentation of the experiment showing the ultrafast US imaging system (Aixplorer™), the US probe, the electromechanical shaker/actuator, and the placenta.
The IQ signal can be written:
where A is the signal amplitude, ϕ(x,z,t) the signal phase at position (x,z) and t the time. An algorithm was developed to compute tissue velocity from the IQ data, based on a subsample Doppler mean frequency estimation method [46]. The velocity estimator is an extension of the autocorrelation estimator developed by Hoeks et al. [47] and can be expressed mathematically as follows:
where λ is the US wavelength (550μm) and T the time interval between two acquisitions,
. Na is the number of samples defining the volume of interest (Na = 30) and Nb the number of temporal samples in the autocorrelation over which the mean velocity is estimated (Nb = 10).
This algorithm estimates the tissue particle velocity V(x,z,t) from the temporal evolution of the IQ data between two successive acquisitions separated by the time . The phase variation is averaged over Nb acquisitions to improve the performances of the algorithm [48]. Hoeks et al. proposed to average also the phase estimation over Na spatially contiguous IQ samples in spatial dimension [47]. In this case the wavelength of the shear wave (λS ≃ 2cm) have to be much higher than the spatial resolution of IQ data to obtain local resolve estimates. Finally, we obtain a movie of the shear wave propagation (Fig 2C) Vz(x,z,t) from this tissue Doppler method. From the Doppler equation, we measure the projection of the tissue particle velocity Vz along the direction of propagation of IU, i.e. on the z direction. This direction is exactly the direction of the motion induced by the shear wave. We select a specific z0 position and analyze the propagation of the shear wave following Vz(x,t,fixed position z0) (Fig 2D). After Fourier transform, we obtain Vz(x,ω) and we can analyze for different fixed pulsations ωf the tissue particle velocity Vz(ωf,x) assuming a plane wave model:
with f the frequency, ωf a fixed pulsation (ω = 2πf), and α the attenuation coefficient.
This device has been further modified and adapted for in vivo use (S1 Appendix). This new TE system is based on the propagation of a shear wave generated by two vibrating rods placed on either sides of the US probe (same probe as before). The electrodynamical exciters (Visaton, Germany) are completely decoupled from the US probe and generate the vibration of the two rods. In this configuration, the shear wave is generated in the vibration direction in front of the US probe elements, between the two rods. The shear wave propagation, measured by the US probe, is due to the constructive interference between the two waves generated by the two rods.
Microscopic architecture, shear wave dispersion, and rheology
Theoretical and physical considerations suggest that the presence of microscopic obstacles influences not only the absolute value of viscoelastic tissue parameters, but also their relation to frequency. The propagation of shear waves in a viscoelastic medium is physically associated with the viscoelastic properties of the medium. In particular, the frequency behavior of tissue mechanical parameters can be modeled as a power law; it cannot, however, be modeled by the classical Voigt or Maxwell viscoelastic models widely used in elastography (Fig 4). We used a fractional rheological model that is capable of describing power law behavior for the complex shear modulus G*(ω) [49]:
Blue points are the experimental data. The black dashed line represents the Voigt model, which is widely used in elastography, but does not accurately simulate viscoelastic behavior as a function of frequency variation. The red curve is a fractional rheological model, which fits the data better; n, its exponent, provides a simple quantitative interpretation of the measurements.
In this model, G* is the elastic modulus (Pa), Ge is the shear modulus at equilibrium (Pa), K is a constant (consistency coefficient, Pa.sn), and n is a linear parameter (without unit). This exponent parameter n represents a mechanical property inherent to a given materiel [44] and was assumed in our study to provide information about the microscopic form of the tissue. Measurements were made in the bandwidth [20 Hz-80 Hz].
This method has been validated on calibrated viscoelastic gels [46]
Description of the protocol
The placentas were analyzed < 12 hours after delivery (mean time: 8 h, Table 1). The placental membranes were resected, and the umbilical cord was extended out, horizontally, so that only the shear wave propagation within the cotyledons would be analyzed. The placenta was then placed in a specially designed box (Fig 3). Detection of the plane shear wave required that the probe be positioned perpendicularly to the fetal surface of the placenta. Because the placenta was too thin for this, however, it was folded over, in half. If we had not folded it, our area of exploration would have been very limited, and reflections of the support could have constituted an additional difficulty.
Measurements for each placenta were made in two different regions: in the central region (near the umbilical cord) and in the peripheral region (on the placental border). Accordingly, the placental position in the box was modified after the first measurement.
IQ data were recorded for each measurement, and the complex shear modulus was determined. In addition, Young's modulus (YM) and SWS were calculated with the SSI method for comparison with the values of our TE method.
In the SSI method, the central frequency of the shear wave depends on the duration of the push. The characteristics of this pulse are very variable, for example with the explored organ, and constitute information internal to the system. We did not have access to this frequency information. To compare the SSI and TE methods, we considered the SWS values at 50 Hz in TE, as it was the central frequency of the excitation signal of the shaker/actuator.
Each measurement (from TE and SSI) was repeated 3 times by repositioning the probe each time, and with two different operators (ES and SC). It was thus possible to calculate intra- and inter-operator reproducibility.
Statistical analysis
Categorical data are presented as numbers and percentages (n (%)), and continuous data as means with their standard deviations. All comparisons used the Mann–Whitney U-test. To assess intra- and inter-observer reproducibility, we calculated intraclass correlation coefficients (ICC). Bland-Altman plots with 95% intervals of agreement were generated for SWS and YM.
Differences were considered significant for P-values <0.05. R 3.3.2 software was used to perform the analyses.
Results
Measured with the SSI method, the mean YM value was 10.50 kPa +/- 1.73 in the central regions and 10.60 kPa +/- 2.17 in the peripheral regions (P = 0.791) (Table 2 and S1 Table). Measured with our new TE method, the corresponding YM values were 11.34 kPa +/- 4.49 in the central and 9.78 kPa +/-2.72 in the peripheral location (P = 0.579, and not significant for comparison between SSI and TE, P = 0.796 for the central and 0.384 for the peripheral regions).
The mean SWS values from SSI were 1.82 m/s +/- 0.15 (central) and 1.82 m/s +/- 0.18 (peripheral) (P = 0.684), and the corresponding values from TE were 1.86 m/s +/- 0.39 (central) and 1.75 m/s +/- 0.24 (peripheral) (P = 0.570). The SSI/TE comparisons were not significant either: P = 0.791 and 0.436 for the central and peripheral regions. The mean value for the n parameter calculated from TE was 1.15 +/- 0.18 in the central and 1.25 +/- 0.11 in the peripheral regions (P = 0.069).
Table 3 and S1 Table present the SWS values calculated by both methods (SSI/TE) and the values of n (TE) for each placenta.
For TE, reproducibility was good for the calculation of SWS, both for the same and different examiners (ICC = 0.68 (95% CI 0.50, 0.82), and 0.65 (95% CI 0.37, 0.85) respectively)(Table 4). This reproducibility of SWS was lower for SSI (0.54 (95% CI 0.09, 0.75) and -0.13 (95% CI -0.59, -0.35) respectively). Bland-Altman plots are shown in Fig 5.
Measurements in the central region of the placenta are represented by black triangles (▲) and those in the peripheral region by red dots (●).
YM and SWS values measured at a fixed frequency by SWE and TE were of the same order of magnitude for both regions (Table 2). Moreover, the value of the parameter n appeared to be independent of the YM and SWS values. In the peripheral regions of placentas n°1 and n°8 (Table 3), the SWS values calculated from TE were very similar: 1.87 m/s +/- 0.19 (placenta n°1) and 1.86 m/s +/- 0.24 (placenta n°8), but the corresponding parameters n obtained from the fractional rheological model were quite different: 1.10 +/- 0.05 (placenta n°1) and 1.35 +/- 0.07 (placenta n°8). The SWS (TE method) in the central regions of placentas n°1 and n°10, were also similar: 2.27 m/s +/- 0.47 (placenta n°1) and 2.27 m/s +/- 0.25 (placenta n°10), while their n values were 1.17 +/- 0.06 and 0.93 +/- 0.19 respectively. In these examples, a difference in the SWS value of a few hundredths corresponded to a difference of a few tenths for n. This difference in these orders of magnitude suggests that the parameter n constituted additional information about placental elasticity.
Discussion
Interpretation of main findings
Our study is the first application of a 2D TE method to the placenta. This method is feasible and reproducible on delivered normal placentas. The elastic parameters calculated at 50 Hz were quite similar to those obtained by SWE. The small differences observed can be explained by the fact that TE values were calculated at 50 Hz, which probably did not correspond to the same frequency in SWE. Moreover our method provides information about the variation law of these parameters as a function of frequency. This information is given by the exponent parameter of the power law, called “parameter n”. Values of n should be interpreted as a result independent of the SWS and the YM, but specific to a given tissue architecture. This quantitative value of n can be simply interpreted for solids: the more n tends to 0, the more elastic its behavior, and conversely, the more n deviates from 0, the more viscous its behavior.
Recently, Abeysekera et al. published a multifrequency analysis of SWS in placenta using a 3-D motorized probe connected to an Ultrasonics SonixTouch platform with a conventional B-mode ultrasound transmission sequence [36]. The SWAVE system applies a longitudinal vibration to the surface of the placenta using a 3cm diameter circular steel plate connected to a voice exciter. This system uses monochromatic harmonic excitation to generate shear waves like in Magnetic Resonance Elastography and five excitation frequencies at 60, 80, 90, 100 and 120Hz are sequentially emitted. Since the radiated shear wave is not spread in a large bandwidth like in TE, this method allows a good penetration of the shear wave in the placenta even at 120Hz where we are limited at 80Hz in our experiments. The disadvantage is to repeat several times the measurement for each frequency unlike our TE method where the duration of the measurement is 51ms.
Regardless of the method used, TE or SWE, the orders of magnitude of SWS and YM in our study were consistent with previously published data (Table 5). In addition, consistent with the literature, we found no significant difference between the central and peripheral regions of these placentas [20–22,29].
Clinical meaning
The use of placental elastography is based on the hypothesis that placental insufficiency modifies the elasticity of this organ. This is a credible hypothesis already suggested by studies (Table 5). Among this literature, several ex vivo studies [20,26,36] and in vivo studies [19,22,27,32–35] compared normal and insufficient placentas in humans (either preeclampsia, IUGR or both).
Almost all of these studies found that YM or SWS was elevated in cases of placental insufficiency.
Most of the in vivo studies have investigated preeclampsia rather than IUGR (except Ohmaru et al [34] and Arioz Habibi et al [35]), whereas the ex vivo studies have tended to examine IUGR instead. On the whole, although these studies are fairly numerous, their sample sizes have been small and the levels of evidence generally very low.
Moreover, they have employed a diverse range of elastography techniques: strain elastography [19,26,30], ARFI [20,28,32–34], or SWE [21,22,25,27,29]. The orders of magnitude of the measurements sometimes differed from one study to another. For example, the mean YM in preeclampsia cases ranged from 7.01 kPa (range 3.79–13.3) [22] to 21 kPa (range 3–71) [27], and the mean SWS value ranged from 1.34 m/s (IQR 1.31–1.39) [32] to 1.93 m/s (+/- SD 0.62) [33]. In normal placentas in vivo, mean YMs have varied from 2.53 kPa (range 2.29–2.80) [22] to 7.84 kPa (+/- SD 1.68) [21] and mean SWS from 0.91 m/s (+/- SD 0.20) [33] to 1.59 m/s (+/- SD 0.5) [28]. The values of SWS or YM found in our study are therefore slightly higher than those found in the literature, even in comparison with other ex vivo studies [20,25,26,36]. These heterogeneous results underline the need to improve tools for quantifying placental elasticity.
We can make some pathophysiological assumptions about changes in placental elasticity. The main interest of elastography does not lie in identifying localized placental lesions related to preeclampsia or IUGR. Conventional US can identify or at least call attention to suspicious lesions such as infarcts or hematomas. Furthermore, their absence does not exclude a diagnosis of placental insufficiency (whether preeclampsia or IUGR), and their presence is not pathognomonic of it [50,51]. These lesions are sometimes unrecognized when a large part of the placenta is hidden by the fetus, as in posterior locations. The identification of lesions that affect the entire placenta is a more ambitious challenge, especially if these lesions are not visible on a standard US scan. Among the many abnormalities of the placental parenchyma that have been described, we do not know which ones might give rise to elasticity changes. However, the fractional rheological model that we used is known to be sensitive to a shape factor of the considered tissue [44]. We make the hypothesis that structural modifications of the placental parenchyma, whatever their type, have an impact on SWS dispersion. For example, trophoblastic fibrin deposits, calcifications, and changes in villi phenotype might be related to placental elasticity. Deposition of fibrinoid materials around the syncytium is often observed in case of preeclampsia or IUGR [17]. Furthermore, although an increased risk of adverse maternal and fetal outcomes in cases of preterm placental calcifications has not yet been proven, the studies suggesting such an association cannot be ignored [52]. According to the fetal hypoxia paradigm, fetal capillary morphology may differ in cases of preeclampsia and of IUGR, with and without severe Doppler abnormalities [11]. These changes in cotyledon microarchitecture are not currently accessible by conventional US exploration, but they could be interesting candidates for SWS dispersion analysis. The exponent parameter n of the power law has already been studied in several types of tissue, and different approaches have been used to model the dispersion of the shear modulus. Interesting results have been obtained in breast tumors [53] and liver tissue [54,55], with, for example, a multiparameter approach enabling the characterization of liver fibrosis and inflammation [54]. These results have served as a starting point for studying shear modulus dispersion in the placenta.
Strengths and limitations
The main strength of our study is to demonstrate the feasibility of placental exploration by TE and thus to pave the way of a new approach for biomechanical investigations of the placenta.
The weakness of this approach is the limited depth of exploration possible with TE—about 8 cm with our probe, although we note that other elastographic techniques are also subject to this depth constraint, and all the studies using SE or SWE have excluded posterior-lying placentas. Nonetheless, the literature suggests that there is no difference in elasticity between the central and peripheral regions of the placenta. In clinical situation in pregnant women, the posterior-lying placenta (46% of the cases in the Torricelli et al. cohort [56]) is more difficult to access, and anterior placenta seems to be a better candidate for the TE system that we have developed (S1 Appendix). But under certain conditions, it could be sometimes possible to access an edge of the posterior-lying placenta when the US probe is positioned very laterally on the abdomen (on the woman's lumbar or iliac region). For that reason, the question of placental heterogeneity remains important, and we did not find any differences between central and peripheral regions. In addition, ex vivo results should be interpreted with caution, as little is currently known about SWS variations as a function of placental vascularization. However, the only studies of delivered and non-perfused placentas found mean SWS values of 1.31 m/s [20], 1.23 m/s (60 Hz), 1.67 m/s (80 Hz), 1.74 m/s (90 Hz) and 1.80 m/s (120 Hz) [36]. These values are consistent with in vivo studies.
Folding the placenta in half could theoretically modify the elasticity of the latter, and SWAVE makes it possible to avoid this difficulty [36]. However, we did not observe any significant change in shear wave propagation at the interface between the two folded parts of the placenta.
Our study did not include a histopathological analysis of the placentas, as our main goal here was to determine the feasibility of this method as a first step. Moreover, routine anatomical analysis would not have made it possible to draw any further conclusions. In this type of study, it would be interesting to have more advanced analyses of the villous phenotypes, for example by morphometry, especially for comparison between normal and abnormal situations. The next step of this study is to compare the values of SWS, YM, and n in normal and abnormal placentas, first ex vivo and then in vivo.
Finally, our TE method using a vibrating plate is not suitable for clinical application to pregnant women. But this preliminary study enabled us to build a new device for in vivo examinations (S1 Appendix). With this new method the shear wave is followed in a different axis, and the question of folding the placenta no longer arises. For that reason, we have not continued these experiments on a larger sample of placentas. Our current experiments are applying our new device in vivo.
Conclusion
In this ex vivo study, our frequency approach (measurement by TE) provided a new quantitative parameter, the “exponent n” of the fractional rheological model for assessing placental elasticity, in addition to the standard parameters such as YM or SWS at a particular frequency. This parameter n is variable for any given value of SWS and should be considered to provide additional information about the placental tissue. In the perspective of clinical application, it will be necessary to evaluate the performance of this frequency analysis, comparing the values of n in normal and abnormal situations.
Supporting information
S1 Appendix. New device for 2-D transient elastography.
(A) This system has been developed for clinical application in vivo. (B) 2-D transient elastography system applied to a homogeneous elasticity phantom. (C) Ex vivo measurement on placenta.
https://doi.org/10.1371/journal.pone.0194309.s001
(TIF)
S1 Table. Clinical features and data from ten placentas.
https://doi.org/10.1371/journal.pone.0194309.s002
(XLSX)
Acknowledgments
We thank Jean-Yves Tartu (UMR INSERM U930, University of Tours) for his assistance in the technical development of the system.
We also thank Emmanuel Nicolas (UMR INSERM U930, University of Tours) for his assistance in the experiments.
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