Overall study design. As one of our main objectives was to examine how the PV functionally adapts to increasing transvalvular pressure (TVP), our study design involved use of multiple murine PVs each fixed under a specified TVP. We utilized a comprehensive coupled experimental-modeling pipeline for each prepared PV (Figure 1). From a total of eleven murine PV we developed a sufficient database to determine correlative changes with TVP. Additionally, it should be emphasized that because of the inherent heterogeneity of the PV, local fiber structure needs to be mapped back to its anatomical locations to have functional relevance. The design of the current approach allowed us to describe local fiber orientation in relation to the leaflet geometry.
Animal preparation. All mice used in this study were approved by Nationwide Children’s Hospital institutional animal care and use committee under protocol AR13-00030. All experiments performed on mice were done in accordance to relevant guidelines and regulations of this committee. C57BL/6J were sacrificed by ketamine/xylazine overdose and secondarily euthanized by bilateral thoracotomy and exsanguination. This study was done in compliance with ARRIVE guidelines15.
Perfusion pressurization. To obtain organ level geometry, the PV conformation was fixed by hydrostatically applying a TVP. The heart was excised, the ventricles were removed, and the pulmonary artery (PA) was clipped approximately 2 mm above the pulmonary trunk. Polyethylene pressure monitor tubing was anastomosed to the PA with polyamide sutures. Transvalvular hydrostatic pressures were applied at 10, 20, and 30 mmHg from the arterial side with saline solution initially to ensure proper pressurization of the pulmonary trunk16. Once confirmed, gradual incorporation of paraformaldehyde (1%), glutaraldehyde (1.25%) with CaCl2 (2 mM) in cacodylate buffer (0.15 M) was done over 3 hours to fix the PV conformation.
En bloc staining, dehydration, infiltration and embedding. Staining served to improve the mass-thickness contrast in µCT and EM and improve the mechanical properties of the specimen such that it was able to be sectioned by ultramicrotomy. Staining was performed using a modified reduced OTO (reduced osmium-thiocarbohydrazide-osmium) method with added uranyl acetate and lead aspartate17–22 . Extra caution should be taken when handling osmium tetroxide and osmium reagents as it is highly toxic23. Dehydration was performed using successive treatments of ethanol (30%, 50%, 70%, 90%, and 100%) followed by two treatments of acetone (100%)24. Ducupan ACM resin (Electron Microscopy Sciences) was made according to manufacturer recommendation of 10 mL epoxy resin, 10 mL hardener, 0.3 – 0.4 mL accelerator, 0.1 – 0.2 mL dibutyl phthalate. Infiltration was done by incubating the dehydrated sample in increasing concentrations of the resin mixture in acetone: 25%, 50%, 75% each for 2 hours, and 100% resin overnight. The following day, the resin mixture was replaced with a fresh 100% resin mixture and allows to sit at room temperature for 2 hours. A final substitution with fresh resin was done and was cured in a 60°C oven for 48 hours25,26.
Micro-computed tomography. μCT imaging was done at the Center for Electron Microscopy and Analysis (Columbus, OH) using a Heliscan μCT (Thermo Fisher Scientific). Samples were scanned with a voxel size of 2.8 μm. Reconstruction was done in sequence with a filtered back projection algorithm. Volume rendering and image visualization was done in Avizo (Thermo Fisher Scientific) to determine locations of interest. Once a region of interest was located, the sample block was trimmed using ultramicrotomy. Using anatomical features as markers, we manually registered the virtual cross-section provided by the μCT volume rendering with the progressive cross sections of the sample via optical microscope. By comparing features on the specimen surface to the μCT cross-section, we ensure that we are along the desired slicing direction.
Serial block face imaging scanning electron microscopy. After μCT imaging, SBF-SEM was done using a Volumescope (Thermo Fisher Scientific). The cross section of the sample block was trimmed to 2.0×1.5×1.8 mm (length×width×height) to ensure adequate slicing mechanics in the Volumescope. The sample block was coated with approximately 30 nm of gold to mitigate charging during image acquisition. Two overview regions with pixel size of 146×146 nm were imaged, tiled and stitched together. Higher resolution images of 10×10 nm pixel size were taken at local regions of interest. Approximately 1000 slices were imaged serially with thickness of 60 nm. Image segmentation, fiber detections, and fiber analysis was done in Avizo using the XFiber module.
Collagen structure mapping. The µCT volume rendering served as a road map for downstream sample processing. 1) Using the virtual slices generated by the µCT rendering, the specimen block was sliced in the direction of the STJ-plane normal. 2) The physical specimen block cross-section was then corroborated with the virtual cross-section of the µCT volume rendering to verify direction and location. 3) Once the desired cross-section was exposed on the specimen block, this was then used as the initial cross-section for SBF-SEM acquisition. 4) After the SBF-SEM data set was rendered, µCT and SBF-SEM data sets were imported into Avizo and manually transformed such that they shared a common coordinate system. This allowed the fiber orientation information to be mapped to the µCT data set at a precise location on the PV.
Segmentation of µCT images. Segmentation of each valve, and as well as each constituent leaflet, from the raw µCT images was done using Synopsys’ SimplewareTM ScanIP (Version 2018.12-SP2; Synopsys, Inc., Mountain View, USA). The PV was first highlighted from the whole structure (including part of the myocardium, aorta, and PA). Next, the three leaflets of the PV were separated and identified as the anterior (Aℓ), the left (Lℓ), and the right (Rℓ) leaflets. Subsequently, we identified the commissure points as the three points (i.e., P1, P2, P3) on the interface of the segmented PV and PA at which the leaflets made contact (Fig. 2a). The basal attachment (blue curve) and free edge (red curve) of each leaflet were then defined as part of the leaflet edge between the commissure points that was or was not attached to the PA, respectively. Lastly, we defined the annulus (ANL) plane of the PV as the plane that passed through the mid-points of the basal attachments of all leaflets (e.g., P5 in Fig. 2a), and the sino-tubular junction (STJ) plane as the plane that passed through the commissure points.
Identification and quantification of the geometric quantities of interest (gQOIs). Matlab (Version R2020a; Mathworks, Inc., Natick, USA), MeshLab and ParaView were used to further obtain a list of geometric quantities of interest for each segmented PV (Fig. 2c)27,28. These gQOIs, together with the cross-sectional shape, formed a minimal set of measurements to characterize the morphology of a PV and the constituent leaflets. From a modeling perspective, they also enabled physiological reconstruction of the PV in numerical simulations29. Compared to conventional echocardiography, high-resolution µCT provided more morphological details to our knowledge of gQOIs on the structure of murine PVs30. Particularly, for each leaflet, the free edge length LFE and basal attachment length LBA were measured by 1) drawing a list of nodal points on each curve with a combination of automatic edge detection and manual correction for mis-detected edge nodes, and then 2) using a 3D spline curve to fit the nodal points whose length was defined as the length of the free edge or basal attachment. The valve height, H, was computed by averaging the distance of the commissure points to the ANL plane. The leaflet thickness, w, was computed by averaging local thickness measurement at nine random locations at the middle of the PV (three per leaflet). Finally, the valve perimeter length LΓ, i.e., the length of the projected contour Γ of the basal attachment of all leaflets on the ANL plane (red dotted line in Fig. 2a), was computed which we used to normalize all the above dimensional quantities (Table 1). The normalized gQOIs by the valve perimeter length were indicated by adding a bar on the non-normalized gQOIs (e.g., L̅FE and w̅). Aside from the dimensional quantities, we also measured the tilt angle β between the ANL and STJ planes.
Leaflet shape analysis. In addition to the gQOIs, we were interested in the organ-level leaflet shape characteristics for the purposes of quantitatively understanding the functional mechanics of murine PVs under TVPs. In this study, central cross-sectional profiles of each leaflet in the circumferential and radial directions were mainly investigated. To this end, we fitted each segmented leaflet with high-fidelity using a nonuniform rational basis splines (NURBS) approach. NURBS are the gold-standard in computer aided design and manufacturing that offer flexibility and accuracy when representing complex geometries31. A NURBS geometry is defined by a set of NURBS basis functions and control points. For example, a generic NURBS surface S is defined as
We then fitted the segmented mid-surface of each leaflet by optimizing the position of control points from which we obtained the central cross sections of the fitted surface in the ξ and η directions (c2 and r2, Fig. 2 and Supplementary Methods). The resulting central cross sections from each PVs at the same pressure were then normalized to yield the representative shape for murine PV. Normalization scalar parameters for the circumferential and radial cross sections of each leaflet were found by projecting c2 and r2 onto the best-fitted vertical plane and determining the maximum distance in the circumferential and radial direction, respectively (Supplementary Methods). Customized codes for NURBS fitting were developed in Matlab which used the open-source package GeoPDEs/NURBS for generation and derivatives calculation of the NURBS surface32.
Statistical analysis. For each gQOI (normalized by the valve perimeter length LΓ), the mean and standard error of the mean (s.e.m) were calculated at each TVP (n=3, n=5, n=3 for 10, 20, and 30 mmHg, respectively) (see definitions in Table 1). Additionally, linear regression analysis was conducted for each gQOI as a function of TVP. Note the exception for the normalized leaflet thickness w̅ and tilt angle β, we applied a degenerate linear regression model with zero slope only to fit the average value for w̅ and β. For the rest of gQOIs, the mean and s.e.m of the intercept and slope were calculated as well as the p value for the t-statistic of the hypothesis test that the slope of the linear regression model is equal to zero or not. A gQOI is considered significantly impacted by the TVP for a p-value of < 0.05. All statistical analysis was performed using the fit linear regression model function in Matlab (Mathworks, ver. R2020a). Lastly, due to the observed left/right symmetry of murine PVs, we grouped the left and right leaflets together in the analysis.
The resulting μCT images and corresponding SEM images revealed high quality results, which included volume renderings containing regions of the heart, PV, and PA (Figure 3). Multiple imaging modalities are needed because of the magnitude of length scales being traversed. The voxel size of our μCT volume renderings were between 2-5 μm, which provides sufficient resolution for gross 3D conformational information. Cellular and extracellular components require high-resolution techniques, in this case SEM, but also needed to yield architectural information. Overview images (146×146 nm pixel size) were taken to correlate the μCT cross-sections with SEM micrographs. Once the location was established, detailed images (10×10 nm pixel size) were taken to resolve extracellular matrix elements. This stepwise approach is necessary because high-resolution techniques severely limit the field of view, allowing the user to easily lose track of image location. The 2D information from individual SEM micrographs is insufficient to describe ECM architecture, thus serial images were taken and compiled to produce a high-resolution volume rendering of a localized region of the PV.
Identification and segmentation of the collagen fibers was done using the XFiber module in Avizo. In this study, we show the collagen fiber statistics for diameter and orientation in a region near the belly of the leaflet (Figure 4). The narrow peaks of the indicate that collagen fiber show preferential size and direction. The orientation information, however, is according to the local coordinate system of the Volumescope and is normally arbitrary with respect to pulmonary valve anatomy. Because we used this correlative workflow, we mapped the fiber structure information to a precise location in the PV of our μCT data set. The μCT and SBF-SEM data sets were manually registered to each other, aligning the coordinate systems. The rotational and lateral transformations were then applied to the fiber orientation data to determine that the collagen fibers show preferred alignment in the circumferential direction along the leaflet, consistent with literature33,34. It should be noted that fiber statistics was only done on a small subvolume of the PV leaflet and cannot be readily applied across the entire pulmonary valve until additional data is acquired.
From the µCT images, gQOIs were obtained to characterize the morphology of the PVs (Fig. 5a). Figure 5b-h show the trend of normalized gQOIs with respect to the TPV. Normalized valve height, H̅, shows a negative dependence on the TVP (Fig. 5b). When separating the PV into individual leaflets, the normalized free edge length and basal attachment length, L̅FE and L̅BA, respectively, show a similar behavior. In both instances, the anterior leaflet shows little dependence on the transvalvular pressure with average values around 0.29 and 0.41, respectively, while the left and right leaflets show a slight linear decrease in length (Fig. 5e-h). The average value for the normalized leaflet thickness w̅ and tilt angle β is around 0.0039 (~19µm +/- 1µm) and 10°, respectively (Fig. 5c-d). Note, while constant linear regression model is used in the statistical analysis, it does not mean both gQOIs do not vary with TVPs. In fact, we hypothesize that leaflet thinning occurs when the TVP increases. However, due to measurement error, we are not able to resolve this trend accurately. As a result, only average values are reported here as a reference. Mean, standard error of the mean, and linear regression parameters for the normalized free edge length and basal attachment length of each leaflet are listed in Table 1, along with the normalized valve height, leaflet thickness, and tilt angle. The statistical results suggest that the anterior leaflet is the smallest among the leaflets as characterized by a smaller normalized free edge and basal attachment lengths at all TPVs. The ratio of the mean free edge length between the anterior leaflet and left & right leaflets, which is approximately 0.81 at 10 mmHg, gradually increases to 0.94 at 30 mmHg. For the basal attachment length, similar trend is observed with the ratio increasing from 0.84 at 10 mmHg to 0.89 at 30 mmHg. These indicate the relative size of the anterior leaflet in the PV increases with increasing TVP, which is likely due to greater PA distention in the anterior direction. Note, while the normalized free edge and basal attachment lengths in the left and right leaflets decrease, there are grounds to believe that both the free edge and basal attachment are elongated when TVP increases but in a rate less than the increase of valve perimeter length. Similarly, the height of the PV is also likely to increase at larger TVP. These hypotheses, unfortunately, cannot be justified from our experiment since the absolute change of the gQOIs is not available for the same PV
Results for shape analysis of the leaflets revealed remarkable consistency at each TVP level (Figure 6). The normalized height of the leaflet, h̅, is plotted against the outward circumferential direction (Fig. 6a), c̅, and radial direction (Fig. 6b), r̅, respectively, showing the cross-sectional profiles of murine PVs. By plotting these for increasing TVPs, more clearly revealed how the PV shape changed with TVP. Specifically, we found that in the circumferential direction, the cross sections first undergo a slightly increased inflation from 10 mmHg to 20 mmHg with little change in the overall profile. From 20 mmHg to 30 mmHg, the relative height of the cross section with respect to the span in the circumferential direction decreases noticeably for all the leaflets. In the radial direction, interestingly, that the inflation of the cross section with respect to the ANL plane is inversely proportional to the TVP. At 10 mmHg, the inflation is the most significant with almost the entire cross sections below the ANL plane for all the leaflets. At 20 mmHg and 30 mmHg, the angle of the cross section with respect to the ANL plane at the basal attachment end gradually increases leading to a lower profile of the leaflets above the ANL plane.
This phenomenon appears to be a combined effect of increasing TVP, leaflet stiffening, and distention of the PA. Qualitatively, it can be explained in the following: Increasing TVP leads to distention of the PA which stretches the leaflets in the circumferential direction. Stretched leaflets stiffens in both the circumferential and hence changes the equilibrium profile of the radial cross section. There appears to be no major difference observed in the overall leaflet profiles, except that the circumferential cross section of the anterior leaflet is approximately symmetric. Additionally, both left and right leaflets were asymmetric with respect to the circumferential direction due to the nonzero tilt angle between the STJ and ANL planes.
Overall, the normalized geometry results (Figures 5, 6) provide a clear picture of how the murine PV adapts to TVP. Briefly, at 10 mmHg all leaflets are significantly enlarged in the radial direction. While the anterior leaflet is about 80% of the left and right leaflets in size, the profiles of the normalized central radial cross sections are similar for all the leaflets. At 20 mmHg, the anterior leaflet gets larger relatively due to the nonuniform PA distention. This contributes to a slight decrease in the normalized free edge and basal attachment lengths in the left and right leaflets. The PA distention also leads the radial cross section to become flatter at the basal attachment end with respect to the ANL plane. Meanwhile, the normalized valve height decreases slightly although the actual valve height is very likely to increase. At 30 mmHg, the above trend continues. In particular, the central radial cross section becomes even less inflated while the relative height of the central circumferential cross section noticeably decreases across all leaflets.