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. Author manuscript; available in PMC: 2020 Feb 1.
Published in final edited form as: Biomech Model Mechanobiol. 2018 Oct 10;18(1):261–273. doi: 10.1007/s10237-018-1080-1

Absence of LTBP-3 Attenuates the Aneurysmal Phenotype But Not Spinal Effects on the Aorta in Marfan Syndrome

A Korneva 1,#, L Zilberberg 2,#, DB Rifkin 2, JD Humphrey 1,3, C Bellini 4,
PMCID: PMC6367053  NIHMSID: NIHMS1509380  PMID: 30306291

Abstract

Fibrillin-1 is an elastin-associated glycoprotein that contributes to the long term fatigue resistance of elastic fibers as well as to the bioavailability of transforming growth factor-beta (TGFβ) in arteries. Altered TGFβ bioavailability and/or signaling have been implicated in aneurysm development in Marfan syndrome (MFS), a multi-system condition resulting from mutations to the gene that encodes fibrillin-1. We recently showed that absence of the latent transforming growth factor beta binding protein-3 (LTBP-3) in fibrillin-1 deficient mice attenuates the fragmentation of elastic fibers and focal dilatations that are characteristic of aortic root aneurysms in MFS mice, at least to 12 weeks of age. Here, we show further that absence of LTBP-3 in this MFS mouse model improves the circumferential mechanical properties of the thoracic aorta, which appears to be fundamental in preventing or significantly delaying aneurysm development. Yet, a spinal deformity either remains or is exacerbated in the absence of LTBP-3 and seems to adversely affect the axial mechanical properties of the thoracic aorta, thus decreasing overall vascular function despite the absence of aneurysmal dilatation. Importantly, because of the smaller size of mice lacking LTBP-3, allometric scaling facilitates proper interpretation of aortic dimensions and thus the clinical phenotype. While this study demonstrates that LTBP-3/TGFβ directly affects the biomechanical function of the thoracic aorta, it highlights that spinal deformities in MFS might indirectly and adversely affect the overall aortic phenotype. There is a need, therefore, to consider together the vascular and skeletal effects in this syndromic disease.

Keywords: fibrillin-1, aortic stiffness, vascular phenotype, kyphosis, aortic curvature, allometric scaling

INTRODUCTION

Marfan syndrome (MFS) is an autosomal dominant disorder of connective tissues that predisposes affected individuals to, among other conditions, the development of thoracic aortic aneurysm (TAA) and abnormal spinal curvature. MFS is caused by mutations to the gene (FBN1) that encodes the extracellular matrix glycoprotein fibrillin-1 (Dietz et al. 2005; Ramirez and Dietz 2004), the primary elastin-associated microfibril found in elastic fibers. Fibrillin-1 contributes to the long-term biomechanical stability of the elastic fibers (Marque et al. 2001; Pereira et al. 1999) as well as to the bioavailability of transforming growth factor beta (TGFβ) within the matrix (Robertson and Rifkin 2016). The latter is accomplished by mediating the incorporation of the TGFβ large latent complex within the matrix, where a latent TGFβ binding protein (LTBP) covalently binds a small latent complex consisting of TGFβ and a TGFβ propeptide (Neptune et al. 2003). The combination of a compromised fatigue resistance of the elastic fibers and altered TGFβ signaling due to abnormal fibrillin-1 is thought to contribute to aneurysmal initiation and progression in MFS.

Several mouse models have been established either to prevent (Carta et al. 2006) or to alter (Judge et al. 2004; Pereira et al. 1999) the expression of fibrillin-1. Mice lacking the fibrillin-1 gene (Fbn1−/−) are useful for investigating the role of this glycoprotein in organogenesis and elucidating interactions between fibrillin-1 and LTBPs. In particular, we have shown that incorporation of LTBP-3 within the extracellular matrix depends upon fibrillin-1 (Zilberberg et al. 2012). Due to their limited life span (< 2 weeks), however, Fbn1−/− mice do not recapitulate the clinical progression of symptoms in MFS. In contrast, hypomorphic Fbn1mgR/mgR mice express ~15–20% of the normal amount of fibrillin-1 and exhibit salient features of the lethal adult form of MFS (Pereira et al. 1999). We previously characterized the biaxial mechanical behavior of the ascending (ATA) and descending (DTA) thoracic aorta and common carotid arteries from 8- to 10-week old Fbn1mgR/mgR mice (Bellini et al. 2016; Eberth et al. 2009; Ferruzzi et al. 2011). These arteries exhibit decreases in axial (pre)stretch and increases in circumferential material stiffness, both of which contribute to a reduced ability to store elastic energy during systolic deformation. Importantly, the most dramatic biomechanical differences are found near the aortic root and in the proximal ATA, where aneurysms tend to arise, and similar features are observed in this segment across multiple mouse models of TAA (Bellini et al. 2017a).

Recently, we generated Fbn1mgR/mgR:Ltbp3−/− mice to evaluate the roles of LTBP-3 protein in the progression of MFS (Zilberberg et al. 2015). Deletion of the gene Ltbp3 in Fbn1mgR/mgR mice normalized nearly all changes in gene expression characteristic of MFS (i.e., reversed 773 out of the 786 differentially expressed genes), restored the level of TGFβ signaling to normal (as evaluated via pSmad3 protein), and maintained the histological integrity of the elastic fibers, which presumably contributed to the markedly improved survival of these double mutant mice up to 12 weeks of age. Here, we biomechanically phenotype the ATA and DTA from Ltbp3−/− and Fbn1mgR/mgR:Ltbp3−/− mice to quantify consequences of the deletion of the Ltbp3 gene on the overall mechanical functionality and structural integrity of the aneurysm-prone thoracic aorta. Because rigorous biomechanical phenotyping requires biaxial mechanical data – circumferential and axial – we also explored possible relations between spinal deformities and aortic properties, noting that skeletal development influences the degree of axial (pre)stretch in the aorta (Dobrin et al. 1975; Huang et al. 2006) and possibly its curvature.

METHODS

All animal procedures conformed with NIH guidelines and were approved by the Institutional Animal Care and Use Committee at New York University School of Medicine. All biomechanical testing and data analysis was performed consistent with established methods (Bellini et al. 2017a; Ferruzzi et al. 2013), which enabled our new data for 8–9 week old male Ltbp3−/− (n = 5–7) and Fbn1mgR/mgR:Ltbp3−/− (n = 6) mice to be compared directly with previous results on 8–9 week old male wild-type (WT, n = 5) and Fbn1mgR/mgR (n = 10) mice (Bellini et al. 2016). Note that the colonies of wild- type and mutant mice in both our prior and current work were maintained on a mixed C57BL/6;Sv129;SW genetic background (Zilberberg et al. 2015) within the same facility, and studied mechanically over a 16-month period. Following euthanasia, the ribcage was opened to expose the thoracic aorta from the aortic root to the sixth pair of intercostal arteries. A digital image documented the in situ geometry of the ATA and aortic arch. Following separation from perivascular tissues and gross excision, the proximal and distal thoracic aorta were divided just distal to the left subclavian artery, near the ligamentum arteriosum. Another digital image acquired using a dissection microscope and video camera documented the resulting in vitro geometry prior to preparation for mechanical testing. A curvature index (CI) was calculated for the DTA as the ratio of the contour length to the end-to-end distance. Measurements at the inner and outer curvature were averaged, with higher values of indicating greater deviations of the unloaded configuration from a straight line.

In preparation for in vitro mechanical testing, the ATA and proximal DTA were cannulated and placed within our custom computer-controlled testing device (Gleason et al. 2004) within a Hank’s buffered physiologic solution maintained at 37°C. The vessels were preconditioned mechanically via cyclic pressurization, while held at their individual in vivo axial length, and then subjected to a series of seven biaxial protocols: cyclic pressurization from ~10 to 140 mmHg at three different values of axial stretch (95, 100, and 105% of the in vivo value) plus cyclic axial stretching at four different fixed values of luminal pressure (10, 60, 100, or 140 mmHg). The associated pressure-diameter and axial force-length data were fit via nonlinear regression of biaxial data from the unloading portions of all seven testing protocols using a validated 8-parameter nonlinear stored energy function (Bellini et al. 2017a; Ferruzzi et al. 2013). This function accounts for the isotropic contribution of an elastin-dominated amorphous matrix (via a neo-Hookean form of stored energy) and anisotropic contributions due to multiple families of locally parallel collagen fibers and circumferentially-oriented passive smooth muscle (via Fung-type exponential forms of stored energy), namely

W(C,Mj)=c2(IC3)+i=14c1i4c2i{exp[c2i(IVCi1)2]1}, (1)

where IC = tr(C) and IVCi=MiCMi are coordinate invariant measures of the finite deformation, with the right Cauchy-Green tensor C= FTF computed from the deformation gradient tensor F that was inferred directly from experimental measurements of changes in diameter and length, with detF= 1 because of assumed incompressibility. The direction of the ith, family of fibers in the traction-free reference configuration was given by the vector Mi=[0,sinα0i,cosα0i], with angle α0i defined relative to the axial direction. Based on prior microstructural observations for wild-type and fibrillin-1 deficient elastic arteries (Ferruzzi et al. 2011), and the yet unquantified effects of copious cross-links amongst the multiple families of fibers, we included contributions of axial (α01=0), circumferential (α02=π/2), and two symmetric diagonal families of fibers (α03,4=±α0). Hence, the eight model parameters determined from nonlinear regression of data are: c,c11,c21,c12,c22,c13,4,c23,4, and α0. Values of biaxial stress and material stiffness were computed through appropriate differentiation of the stored energy function, then compared at physiologic pressures and individual values of the in vivo axial stretch using an analysis of variance (ANOVA), with Bonferroni post-hoc testing and p < 0.05 considered significant. Experimental data and computational results are presented as mean ± SEM. Horizontal bars in vertical scatter plots identify, from bottom to top, the 25th, 50th (median), and 75th percentiles.

Finally, whole-body CT scans were acquired for additional mice in each of the four groups (n = 12 total) using a Siemens Inveon™ micro-PET/CT scanner equipped with an 80-W, 35- to 80-kVp tungsten-anode X-ray source. Euthanized mice were laid in a prone position and scanned at 360° with a continuous rotation in 1° steps. The field of view yielded a spatial resolution of 40 μm. Cross-sectional images were saved in a proprietary format, opened in Fiji (NIH) using the Bio-Formats plug-in, and exported as an image sequence of bitmap files with retained spatial resolution. The z-stack of images was imported into Mimics (Materialise, NV) and segmented using a combination of thresholding and a region-growing algorithm to create a 3D model of the skeleton. The degree of spinal deformity was quantified using dorsal-ventral asymmetries in the length of the spine between thoracic vertebra T4 and lumbar vertebra L6 (Li et al. 2017). Lengths of the dorsal and ventral vertebral aspects were measured in the midsagittal plane using Mimics. Increased differences between dorsal and ventral lengths of the spine arise in kyphosis due to ventral wedging of the vertebral bodies (Li et al. 2017). Unlike graphical methods that estimate the severity of spinal deformity by measuring the angle between the endplates of the most tilted vertebrae (Cobb’s angle), the chosen approach is independent of the position assumed by the mice during image acquisition and is thus insensitive to postural adjustments occurring post-mortem due to any change in muscle tone (Stephens et al. 2015).

RESULTS

Ascending Aorta.

The configuration assumed in situ by the ATA appeared similar across all four genotypes (Figure 1, panels A-E), even in the 7 (out of 10) Fbn1mgR/mgR mice that developed an aneurysmal dilatation near the aortic root (panel D, mean diameter 76% greater than normal). Following excision and immersion in physiologic solution, however, the main branches off the aortic arch rearranged naturally to an orientation that differed in all three of the groups with fibrillin-1 deficiency (panels H-J) relative to that for the control (panel F) and Ltbp3−/− (panel G) mice. The ATA in mice without LTBP-3 protein (panels G and J) appeared slightly wider (although much less than a 50% increase in diameter, the usual threshold defining an aneurysm) relative to controls (panel F) despite a significantly lower body mass than for both control (23.2±1.5g for Ltbp3−/− vs. 29.2±0.4g for WT) and fibrillin-1 deficient (21.9±1.5g for Fbn1mgR/mgR:Ltbp3−/− vs. 28.8±1.0g for all Fbn1mgR/mgR) mice. Although one may normalize aortic diameter by body mass (panel K), increases in aortic size follow allometric, not isometric, scaling laws (Supplemental Figure S1, panel B), whereby inner diameter d^=αMβ with M body mass and α and β parameters (West et al. 1997). A logarithmic transformation and linear regression of systolic data (Supplemental Figure S1, panel A) yielded best-fit values of α = 936.17 μm ∙ g−0.17 and β = 0.17 for n = 21 control ATAs that were mined from a prior study on adult wild-type male mice with different backgrounds: C57BL/6, C57BL/6;129SvJ, and C57BL/6;129SvEv (Bellini et al. 2017b). Normalizing mouse-specific inner diameter dPsys at transmural pressure P = 120 mmHg by body mass = (Figure 1, panel K) or more appropriately by a normal diameter predicted by allometric scaling (d^Psys=936.17M0.17, panel L) thus enables consistent comparisons of aortic size independent of body mass, whereby it is seen that absence of LTBP-3 prevented aneurysmal dilatation in the Ltbp3−/− and Fbn1mgR/mgR:Ltbp3−/− mice, at least over the range of body masses (~17–40 g) and ages (8–9 weeks) studied. That is, even when corrected for body mass, only ATAs from the 7 of 10 Fbn1mgR/mgR mice that had been classified as aneurysmal upon gross examination were indeed statistically larger than control.

Figure 1.

Figure 1.

Configurations of the ascending thoracic aorta (ATA) in situ (A-E) and in vitro following blunt excision (F-J) for all four genotypes: wild-type control (WT), LTBP-3 null (Ltbp3−/−), fibrillin-1 deficient (Fbn1mgR/mgR) without or with aneurysm (TAA), and double mutant (Fbn1mgR/mgR:Ltbp3−/−). Aortic root, ascending thoracic aorta, major aortic branches, and proximal descending thoracic aorta are outlined in the images taken in situ. While the aortic root in the representative Fbn1mgR/mgR TAA is clearly aneurysmal, the phenotype of the Fbln1mgR/mgR:Ltbp3−/− aorta appears close to normal upon gross examination. More rigorously, absence of aortic dilatation in double mutant specimens is revealed by their adherence to a normal allometric scaling law d^Psys=αMβ=936.17M0.17 for the systolic inner dimeter of the ATA (dPsys) and body mass (M) of control mice (see supplemental Figure S1). The estimated allometric equation predicts the expected ratio d^Psys/M as a function of M (K, gray dashed line), to which the experimental ratio dPsys/M is compared for each of the current specimens and prior controls (K, gray crosses, used to estimate the allometric parameters). To evaluate how closely the diameter of each specimen (dPsys) matches the value predicted by normal allometric scaling (d^Psys), the ratio dPsys/d^Psys (is also computed for each specimen (L). Only Fbn1mgR/mgR TAA specimens fall outside the 95% confidence interval (K, shaded area) for normal allometric scaling, confirming that absence of LTBP-3 attenuates the aneurysmal dilatation in the mgR mutant mouse. Images in panels A-J are not scaled the same, but are shown for qualitative utility. Statistical significance is set to *p < 0.05.

Absence of LTBP-3 alone did not affect the pressure-diameter response of the ATA (Figure 2, panel A) and there was similarly no difference in its circumferential Cauchy stress-stretch behavior (panel B). Structural (panel C) and material (panel D) behaviors in the axial direction were also comparable in the ATA between Ltbp3−/− and WT mice. Consistent with these observations and implications from the excised configurations (Figure 1, panels F-G), control and Ltbp3−/− ATAs exhibited similar values of in vivo axial stretch (Figure 2, panel E): 1.70±0.04 in WT and 1.69±0.05 in Ltbp3-/−. The 8-parameter nonlinear constitutive relation (Equation 1) provided a good fit for the biaxial pressure-distension / axial force-extension data from all four genotypes and both aortic segments (not shown), confirming prior findings for other mouse models (Bellini et al. 2017a; Ferruzzi et al. 2013). Associated best-fit values of the material parameters are listed in Table 1, noting that values for the ATA were again delineated in Fbn1mgR/mgR mice based on the presence or absence of an aneurysm (> 50% increase in diameter) or allometric scaling. These group-specific constitutive descriptors enabled calculation of the intrinsic (material) biaxial stiffness and the elastic energy stored upon deformation. There were no significant differences in circumferential (panel F) or axial (panel G) material stiffness or stored elastic energy (panel H) between WT and Ltbp3−/− mice within the physiological range of pressures considered.

Figure 2.

Figure 2.

Biaxial mechanics (A-D) and computed mechanical metrics (E-H) for the considered ATAs, with values of material circumferential (F) and axial (G) stiffness, and energy storage (H) at specimen-specific values of in vivo axial stretch (E) shown over a range of transmural pressures. Note that the pressure-diameter response clearly delineates aneurysmal (TAA) from pre-aneurysmal ATAs (A). Also, note the near full rescue of the circumferential, but not axial, properties in the double mutant ATAs. Consistently, absence of LTBP-3 does not fully recover the stored elastic energy, which depends on both circumferential and axial properties, suggesting that overall vascular function is not fully rescued in Fbn1mgR/mgR:Ltbp3−/− specimens. Statistical significance is set to *p < 0.05 for the axial stretch, whereas statistical differences in the pressure-dependent metrics, in unloaded and two loaded configurations (P=100 mmHg and P=120 mmHg), are reported in Table S1.

Table 1.

Best-fit values of the material parameters used to fit the biaxial mechanical data and thus to compute biaxial stress, material stiffness, and stored energy for the Ltbp3−/− and Fbn1mgR/mgR:Ltbp3−/− vessels. Values of the parameters for WT, Fbn1mgR/mgR, and aneurysmal Fbn1mgR/mgR (TAA) aortas are reproduced from (Bellini et al. 2016) for convenience.

Elastic Fibers Axial Collagen Circumferential Collagen + SMC Symmetric Diagonal Collagen Error
c (kPa) c11 (kPa) c21 c12 (kPa) c22 c13,4 (kPa) c13,4 α0 (deg) RMSE

ATA
Ltbp3−/− 39.856 19.266 0.080 0.005 1.182 5.813 0.363 47 0.059
Fbn1mgR/mgR:Ltbp3−/− 45.822 28.206 0.312 0.035 1.194 5.737 0.871 41 0.049
WT 43.993 14.978 0.028 7.590 0.234 6.476 0.426 44 0.048
Fbn1mgR/mgR 23.102 12.988 0.230 0.009 2.389 7.478 0.747 47 0.068
Fbn1mgR/mgR TAA 21.687 11.139 0.005 8.44E−05 8.289 11.138 1.555 50 0.092

DTA
Ltbp3−/− 36.546 10.666 0.451 7.380 0.236 0.073 2.212 31 0.070
Fbn1mgR/mgR:Ltbp3−/− 27.564 10.662 0.929 3.929 0.197 0.033 3.144 29 0.082
WT 31.944 13.496 0.163 11.213 0.146 0.097 1.816 27 0.054
Fbn1mgR/mgR 29.040 1.293 1.778 1.139 0.577 0.338 2.384 29 0.084

Reduced expression of fibrillin-1 in Fbn1mgR/mgR mice is thought to increase mechanical fatigue-induced fragmentation of the associated elastic fibers (Bellini et al. 2016; Pereira et al. 1999). Decreased competency of elastic fibers, in turn, inevitably leads to a straightening of initially undulated collagen fibers at moderate not just high pressures (Ferruzzi et al. 2011), as reflected by the change in shape of the pressure-diameter response (Figure 2, panel A). Perhaps in an attempt to contain the value of circumferential stress below the failure level, the ATA begins to dilate locally in Fbn1mgR/mgR mice, eventually becoming aneurysmal near the aortic root (Bellini et al. 2016). Remarkably, absence of LTBP-3 nearly restored to normal the pressure-diameter behavior of fibrillin-1 deficient mice (double mutant Fbn1mgR/mgR:Ltbp3−/− mice; panel A), which also restored circumferential distensibility toward normal in the ATA (panel B). Material stiffness in the circumferential direction, which is predictive of the propensity toward or presence of aneurysmal dilatation (Bellini et al. 2017a; Bellini et al. 2016), was also improved significantly in fibrillin-1 deficiency in the absence of LTBP-3 protein (panel F).

Yet, structural (Figure 2, panel C) and material (panel D) behaviors in the axial direction did not improve in the Fbn1mgR/mgR:Ltbp3−/− ATA when compared to those of the Fbn1mgR/mgR ATA. Whereas a progressive loss of elastic fiber integrity in the Fbn1mgR/mgR aorta may favor lengthening of the artery as opposed to axial stretching throughout somatic growth, absence of LTBP-3 did not rescue the values of in vivo axial stretch in the Fbn1mgR/mgR:Ltbp3−/− aorta relative to those of the aneurysmal Fbn1mgR/mgR ATA, despite the absence of elastic fiber fragmentation in double mutant aortas (cf. Figure 1, panels D and E in (Zilberberg et al. 2015)). Values of the in vivo axial stretch were 1.42±0.06 in aneurysmal Fbn1mgR/mgR and 1.41±0.02 in Fbn1mgR/mgR:Ltbp3−/− mice, each compared to 1.70±0.04 in WT mice (panel E). Given the documented integrity of the elastic fibers in double mutant aortas and lack of a marked deposition of other matrix proteins (Zilberberg et al. 2015), the source of this decrease in axial stretch should be sought other than from the microstructure. Hence, recall that the excised Fbn1mgR/mgR:Ltbp3−/− ATA was closer in shape to the Fbn1mgR/mgR than to either the WT or the Ltbp3−/− ATA (Figure 1, panels F-J). Despite the decrease in the in vivo axial stretch, fibrillin-1 deficiency, either alone or combined with absent LTBP-3, did not alter significantly the axial material stiffness at physiological levels of pressure (Figure 2, panel G), which suggests some compensatory adaptation by the wall.

A key function of the aorta is to store elastic energy during systole and to use this energy during diastole to augment blood flow. Energy storage is significantly lower in the ATA of Fbn1mgR/mgR mice, with or without aneurysm (Figure 2, panel H); see, too, the isoenergy contour plots that reveal the dependence of energy storage on biaxial deformations (Supplemental Figure S3). Importantly, the energy stored by the ATA of Fbn1mgR/mgR:Ltbp3−/− mice, over a physiological range of pressure, was intermediate between WT and Fbn1mgR/mgR values, though closer to the non-aneurysmal fibrillin-1 deficient vessels (Figure 2, panel H). Together, these findings suggest that reduced values of axial (pre)stretching compromise aortic function, even if circumferential wall properties are largely preserved.

Descending Thoracic Aorta.

The proximal segment of the DTA remained fairly straight upon removal from WT mice (curvature index CI = 1.01 ± 0.003; Figure 3, panel A). Absence of LTBP-3 alone changed the unloaded configuration of the DTA only slightly ((CI = 1.03 ± 0.008; panel B) while there was a marked curvature in the DTAs harvested from fibrillin-1 deficient mice (CI = 1.07 ± 0.009; panel C). Interestingly, this increased curvature was also pronounced in the DTA from the double mutant Fbn1mgR/mgR:Ltbp3−/− mice (CI = 1.06 ± 0.008; panel D), suggesting again that absence of LTBP-3 does not improve the axial behavior in MFS.

Figure 3.

Figure 3.

Configurations of the descending thoracic aorta (DTA) in vitro following blunt excision (AD) for all four genotypes: wild-type control (WT), LTBP-3 null (Ltbp3−/−), fibrillin-1 deficient (Fbn1mgR/mgR), and double mutant (Fbn1mgR/mgR:Ltbp3−/−). Note that the mgR mutation seems to induce an abnormal curvature of the excised DTA, which can be evaluated by comparing the contour length of the vessel (D, orange dotted line) to the end-to-end distance (D, blue solid line). Albeit informative, gross anatomical descriptors of vascular structure are qualitative and must be complemented with mechanical characterization from biaxial data (E-H) and derived mechanical metrics (I-L). Again, values of material circumferential (J) and axial (K) stiffnesses, and energy storage (L) are evaluated at specimen-specific values of the in vivo axial stretch (I) and shown over a range of transmural pressures. Note that Fbn1mgR/mgR DTAs have a significantly altered pressure-diameter response despite a seemingly normal diameter (E). Similar to findings for the ATA, note the nearly full rescue of the circumferential, but not axial, properties in the double mutant DTA. Statistical significance is set to *p < 0.05 for the axial stretch whereas statistical differences in the pressure-dependent metrics, in unloaded and two loaded configurations (P=100 mmHg and P=120 mmHg), are reported in Table S2.

Absence of LTBP-3 alone again did not affect the pressure-diameter response (Figure 3, panel E) and there was no difference in the circumferential Cauchy stress-stretch behavior relative to control (panel F). There was, however, a slight decrease in axial extensibility in the Ltbp3−/− DTA (panels G and H). Consistent with these observations, there was a trend toward a reduced axial stretch in the Ltbp3−/− DTA relative to control (panel I): 1.60±0.05 in WT vs. 1.54±0.03 in Ltbp3-/−. Yet, there were no significant differences in circumferential (panel J) or axial (panel K) material stiffness or stored elastic energy (panel L) between the WT and Ltbp3−/− DTA within the physiological range of pressures considered. Absence of LTBP-3 also improved the pressure-diameter behavior in the DTA of fibrillin-1 deficient mice (panel E), with preserved circumferential distensibility (panel F) though not axial extensibility (panels G and H). Indeed, structural (panel G) and material (panel H) behaviors in the axial direction did not improve in the Fbn1mgR/mgR:Ltbp3−/− aorta when compared to the Fbn1mgR/mgR aorta. Absence of LTBP-3 also did not rescue values of the in vivo axial stretch in the Fbn1mgR/mgR:Ltbp3−/− DTA relative to those in Fbn1mgR/mgR, with values of 1.44±0.03 in the Fbn1mgR/mgR:Ltbp3−/− mice and 1.45±0.03 in the Fbn1mgR/mgR mice, each compared to 1.60±0.05 in WT mice (panel I). Given that the excised Ltbp3−/−, Fbn1mgR/mgR, and Fbn1mgR/mgR:Ltbp3−/− DTAs all assumed a curved shape, though to different extents, and recalling the physical connection between the thoracic aorta and the spine, there was strong motivation to quantify spinal curvature.

Spinal Deformity.

Absence of LTBP-3 and deficiency of fibrillin-1 both cause deformities in the thoracic spine (Dabovic et al. 2002a; Dabovic et al. 2002b), which could be responsible, at least in part, for the curvature of the aortic segments that are supported directly by the thoracic vertebrae throughout somatic growth (Dobrin 1997; Nathan 1988). The curvature of the spine in the sagittal plane (Figure 4, panels A-D) was quantified through ventral wedging (panel G), a site-specific difference in length between the dorsal (panel E) and ventral (panel F) aspects of the vertebrae. The spine of WT mice displayed a natural kyphotic (convex) curve between the thoracic vertebrae T7 and T13, which was only slightly amplified in Ltbp3−/− mice at T13 (panel G). Thoracic kyphosis was exacerbated in Fbn1mgR/mgR mice between the thoracic vertebrae T9 and T13, with the maximum at T12 (panel G). Consistently, the double mutation did not rescue, but rather maintained, the severe kyphosis seen in the Fbn1mgR/mgR mice (panel G). Importantly, there was a strong correlation (panel J) between the measured residual curvature index (Figure 3, panels A-D) for the excised DTA (Figure 4, panel H) and the maximum value of vertebral wedging (panel I), consistent with a strong spinal influence on growth of the descending thoracic aorta.

Figure 4.

Figure 4.

Representative images of skeletal reconstructions for all four genotypes (A-D). Note that the mgR mutation, even in the absence of LTBP-3, predisposes to excessive thoracic kyphosis, which might be related to the abnormal residual shape of the DTA in Fbn1mgR/mgR and Fbn1mgR/mgR:Ltbp3−/− mice (Figure 3, C-D). The severity of thoracic kyphosis is measured in a position-independent manner (Li et al. 2017) through ventral wedging of the vertebrae (G), calculated as the difference between the dorsal (E) and the ventral (F) length of the vertebral bodies in the thoracic (vertebrae T4-T13) and lumbar (vertebrae L1-L3) spine. The aortic curvature index (H), calculated as the ratio of the contour length to the end-to-end distance between the left subclavian and the sixth pair of intercostal arteries (Figure 3, D), quantifies the extent to which the profile of control and mutant DTAs deviates from a straight line. Maximum spinal wedging (I), that is, the maximum difference between the lengths of the dorsal and ventral aspects of the vertebrae (G), quantifies the maximum degree of spinal deformity in the thoracic (vertebrae T4-T13) and lumbar (vertebrae L1-L3) spine (its anatomical location shown by red arrows in panels A-D). The deviation of the DTA from a straight line (H) and kyphosis of the thoracic spine (I) are more pronounced in both the Fbn1mgR/mgR and Fbn1mgR/mgR:Ltbp3−/− mice than in the control mice. In fact, a strong significant correlation exists between these two parameters (J), suggesting that the configuration of the growing spine influences the natural shape of the aorta. Statistical significance is set to *p < 0.05.

DISCUSSION

Altered TGFβ signaling has been suggested to contribute to the development of TAAs in patients with MFS (FBN1 mutation; (Neptune et al. 2003)) and Loeys-Dietz syndrome (TGFBR1 or TGFBR2 mutation; (Loeys et al. 2005; Maleszewski et al. 2009)). Altered TGFβ signaling has also been observed in patients with a familial predisposition to TAAs (MYH11 and ACTA2 mutations; (Renard et al. 2013)) and in rare connective tissue disorders associated with arterial tortuosity and aneurysms, including cutis laxa syndrome (FBLN4 mutation; (Renard et al. 2010)) and arterial tortuosity syndrome (SLC2A10 mutation; (Coucke et al. 2006)). Defective sequestration of and consequent altered bioavailability of TGFβ in MFS can result from a faulty interaction between abnormal fibrillin-1 microfibrils and the large latent TGFβ complex, with the small latent TGFβ complex covalently bound to a LTBP (Ramirez and Dietz 2004; Robertson and Rifkin 2016). Specifically, using tissue preparations and cell cultures from Fbn1−/− mice, we previously showed that LTBP-3 is not incorporated into extracellular matrix lacking fibrillin-1 (Zilberberg et al. 2012). We also observed an increase in the survival rate, up to 12 weeks of age, of Fbn1mgR/mgR:Ltbp3−/− mice compared with Fbn1mgR/mgR mice, with reduced elastic fiber fragmentation, reduced differentially expressed genes, normalized TGFβ signaling, and lack of gross TAAs in the compound mutants (Zilberberg et al. 2015). Neither structural nor mechanical consequences of LTBP-3/FBN1 interactions had been examined before, however.

Here we performed a consistent biaxial mechanical characterization of the ascending and proximal descending thoracic aortas from Ltbp3−/− and Fbn1mgR/mgR:Ltbp3−/− mice and compared results with prior data from WT and Fbn1mgR/mgR aortas, all with a similar mixed genetic background and maintained in the same colony. Importantly, we previously found an increase in circumferential material stiffness and a decrease in circumferential distensibility of the thoracic aorta in fibrillin-1 deficiency (Bellini et al. 2016), with the degree of changes correlating with aneurysmal propensity and severity (Bellini et al. 2017a). Consistent with the improved survival rate and lack of aneurysm, thoracic aortas from 8–9 week old male Fbn1mgR/mgR:Ltbp3−/− mice showed near normal circumferential material and structural responses over a physiological range of pressurization and axial stretch (Figure 2, panels A-D; Figure 3, panels E-H). This finding suggests that absence of LTBP-3 prevents or delays pathological effects of LTBP-3/TGFβ complexes in aneurysmal development in MFS mice, at least up to 12 weeks of age (Zilberberg et al. 2015). At higher pressures, however, the circumferential direction stiffened slightly more rapidly in the Ltbp3−/−, and thus Fbn1mgR/mgR:Ltbp3−/−, thoracic aorta than in the WT aorta (Figure 2, panel F; Figure 3, panel J). Although absence of LTBP-3 appears to favorably alter physiological TGFβ signaling in a way that – directly or indirectly – allows or facilitates normal development and maintenance of aortic tissue (e.g., near normal pSmad3 and pERK1/2 as shown by (Zilberberg et al. 2015)), there is yet a need to determine if a similar protection would be afforded in cases of increased mechanical loading, including hypertension, and increased aging.

Of particular note, Ltbp3−/− mice with and without fibrillin-1 deficiency were significantly smaller. Whereas aortic diameter is often normalized in patients using body surface area (BSA) to account for expected normal differences in diameter with body size (Davies et al. 2006), we are not aware of a previously validated scaling for mice. Although normalization by body mass may seem to be natural (Chen et al. 2017; Guo et al. 2018), aortic growth scales allometrically, not isometrically, with body mass (West et al. 1997), hence it is prudent to use allometric scaling (d^=αMβ, with α > 0 and β < 1) to compare aortic diameters across different genotypes (Hayashi and Sugimoto 2007; Matsumoto and Hayashi 1994) or species (Goergen et al. 2007; Greve et al. 2006; Prim et al. 2018). Given that the parameter values for allometric scaling of the inner diameter of the ATA may vary with sex, age, and range of body mass (de Simone et al. 1997), prior data from n = 21 age- and sex-matched wild-type mice with similar genetic backgrounds and body mass to those of the mice studied here (~17 to 40 g) were used to identify the two model parameters. Figure 1 (panels K and L) shows that absence of LTBP-3 led to a non-significant increase in diameter (normalized either by body mass M or by the theoretical normal value of diameter predicted by allometric scaling, d^=αMβ), while protecting against the aneurysmal dilatation that was otherwise seen in 70% of the Fbn1mgR/mgR mice at 8–9 weeks of age. This protection is consistent with the nearly restored circumferential properties and improved, but not restored, elastic energy storage. The degree of axial extension typically plays an important role in such energy storage.

It is well known that the aorta (and all central arteries) retracts upon excision, thus revealing the existence of an axial (pre)stretch. This axial stretching enables the aorta to function at an energetically favorable length at which changes in blood pressure do not change the axial force (Humphrey et al. 2009; Van Loon 1977). Although absence of LTBP-3 did not alter the axial behavior of the ATA, it led to a modest decrease in the in vivo axial stretch of the DTA (Figure 2, panel E vs. Figure 3, panel I). This regional dependence could reflect differences in either smooth muscle cell lineage (neural crest in the ascending vs. mesoderm in the descending thoracic aorta; (Majesky 2007)) or perivascular tethering (Ferruzzi et al. 2018a), as changes in basal TGFβ signaling may influence thoracic organs and tissues – including the spine – that impose physical constraints on the aorta at specific anatomical locations. Recall, therefore, that most murine aortas prone to aneurysmal development, including in Fbn1mgR/mgR mice, exhibit a lower in vivo axial stretch (Bellini et al. 2017a), though this need not be causative. Importantly, a diminished axial stretch was found in the ATA and DTA of Fbn1mgR/mgR:Ltbp3−/− mice (Figure 2, panel E and Figure 3, panel I), which likely reduced the energy storage capability (Supplemental Figure S3).

Axial pre-stretch of the aorta appears to arise largely from the perinatal deposition and crosslinking of elastin and subsequent somatic growth (Dobrin et al. 1975; Humphrey et al. 2009). In the DTA, intercostal arteries that originate as lateral branches on both sides force the aorta to follow the curvature of the spine closely (Nathan 1988). This intimate spatial relationship between aorta and spine is maintained in the presence of kyphosis and scoliosis (Edeiken 1933; Liljenqvist et al. 2002; Maruyama et al. 2004; Milbrandt and Sucato 2007; Nathan 1988; Sevastik et al. 1996; Sucato and Duchene 2003). Although it has long been appreciated that the aorta accommodates developing spinal deformities by growing into a curved shape (Edeiken 1933), the concomitant decrease in the in vivo axial stretch and the effect of such structural changes on vascular function had not been quantified previously in mice, particularly in MFS. To this end, we evaluated the residual curvature of each specimen in the unloaded configuration, which is unique and therefore better suited for comparisons across experimental groups than any loaded configuration wherein body position could vary from mouse to mouse. Both Fbn1mgR/mgR and Ltbp3−/− mice are commonly affected by kyphosis (Dabovic et al. 2002a; Pereira et al. 1999), which led to changes in the unloaded configuration of the DTA compared to that in control mice (Figure 3, panels A-C). This feature was retained in the DTA from Fbn1mgR/mgR:Ltbp3−/− mice (panel D), though possibly being more severe due to the combined effects of the two mutations. Although the spine is not directly in contact with the ATA, severe spinal deformities can affect the development of the thoracic cavity and rib cage, elevating the aortic arch above the clavicle, thus altering the spatial relationship between the aortic arch and its main branches (Parkinson et al. 1939). The unloaded configuration of the ATA from Ltbp3−/− mice was similar to that of control mice despite their spinal deformity (Figure 1, panels F and G). Conversely, the orientation of the main branches off the arch from Fbn1mgR/mgR mice was clearly altered, and this feature persisted in the ATA from Fbn1mgR/mgR:Ltbp3−/− mice (Figure 1, panels H-J). Consistently, axial stretch was lower in the ATA from fibrillin-1 deficient mice, even in the absence of LTBP-3 (Figure 2, panel E). In both the ascending and descending regions of the thoracic aorta, a decreased value of in vivo axial stretch impairs cardiovascular function by reducing the elastic energy stored during systolic deformation, even when circumferential properties of the wall remain normal (Figure 2, panel H; Figure 3, panel L; supplemental Figure S3).

Although this study was motivated by the need to characterize biomechanical consequences of previously observed changes in gene expression, histology, cell signaling, and overall survival in Fbn1mgR/mgR:Ltbp3−/− mice (Zilberberg et al. 2015), the recent discovery that pathologic variants in LTBP3 predispose human subjects to thoracic aortic aneurysms and dissections (Guo et al. 2018) renders the current Ltbp3−/− data important as well. Findings in 13 subjects from two families revealed that LTBP3 variants give rise to myriad disease conditions, including dental anomalies, skeletal disorders, and valvular and arterial defects. Given that these individuals are often of short stature, and presumably have lower than normal body mass, there is yet a need to assess the perceived arterial/aortic dilatation in terms of an appropriate normalization, such as body surface area (Davies et al. 2006). Body surface area is often calculated using a power law formula in terms of body mass and height, each with an exponent β< 1, which is consistent with allometric scaling. Based on direct allometric scaling of ascending aortas from normal adult male mice with body mass between ~17 and 40 g (cf. Figure 1 and Supplemental Figures S1 and S2), we found that ATA diameter is slightly greater than normal in Ltbp3−/− mice, but not significantly so, at least at the ages studied.

Importantly, amongst the many conditions observed in patients with LTBP3 variants (Guo et al. 2018), aortic dissection was a definitive diagnosis in 3/13. We have previously observed aortic delamination during in vitro biaxial mechanical testing in multiple mouse models wherein dissection manifests in vivo, as, for example, in Tgfbr2f/f + tamoxifen (Ferruzzi et al. 2016), ApoE−/− + angiotensin II (Bersi et al. 2017), and normally aged (Ferruzzi et al. 2018b) mice, yet we did not observe any aortic delamination during comparable mechanical testing of aortas from Ltbp3−/− or Fbn1mgR/mgR:Ltbp3−/− mice. Because biomechanical mechanisms of dissection are very different from those of aneurysmal dilatation (Bellini et al. 2014; Ferruzzi et al. 2018b), there remains a need to evaluate the mechanics further in these multiple mouse models, particularly in cases of induced hypertension and in older mice. Indeed, differential aortic aging in mice and humans may contribute to inherent differences between mouse models of thoracic aortopathy and actual human disease. We recently found, for example, that normal aortic aging to 100 weeks in C57BL/6;129/SvEv mice manifests primarily as increased intramural collagen and glycosaminoglycans, with largely preserved elastic lamellar structures and function (Ferruzzi et al. 2018b). Humans, on the other hand, experience progressive aging-induced mechanical fatigue of elastic fibers over decades (O’Rourke and Hashimoto 2007), which can exacerbate compromised elastic fiber integrity resulting from genetic mutations. Because fatigue-induced damage to elastic fibers can contribute to aneurysmal dilatation (Wilson et al. 2012), mouse models cannot phenocopy exactly such a progressive process. Note, therefore, that the age of presentation of aortic aneurysm ranged from 34 to 54 in patients with homozygous LTBP3 variants and 74 to 84 in those with heterozygous variants (Guo et al. 2018). Age-related effects on elastic fibers could contribute to the fundamental difference between our findings in Ltbp3−/− and Fbn1mgR/mgR:Ltbp3−/− mice and humans with pathologic LTBP3 variants.

In summary, our mechanical characterization of the thoracic aorta from Fbn1mgR/mgR:Ltbp3−/− mice supports the concept that LTBP-3/TGFβ complexes contribute to the progression of thoracic aortopathy in a mouse model of MFS. Whether LTBP-3 has a direct, or indirect, structural role is not known, but the present data reveal clearly that absence of LTBP-3 protein in a mouse model of fibrillin-1 deficiency yields a normal level of circumferential material stiffness and prevents aneurysmal enlargement, at least over the ages studied. Yet, lack of LTBP-3 does not correct – indeed it may exacerbate slightly – skeletal deformities induced by fibrillin-1 deficiency, which in turn may alter the pattern of physiological axial (pre)stretch developed by the aorta. Due to the strong mechanical coupling between circumferential and axial behaviors, abnormal aortic curvature and/or a lower values of in vivo axial stretch decrease the amount of elastic energy that the thoracic aortic wall is able to store during systole and use during diastole to work on the blood; that is, overall mechanical functionality is yet compromised. These results further emphasize the importance of biaxial testing and the role of axial stretch in arterial mechanics (Humphrey et al. 2009), as well as potential important couplings between skeletal and vascular development that warrant further research. In syndromic diseases such as MFS, understanding aortic phenotypes and the treatment thereof should include consideration of skeletal phenotypes. Further effort should also be devoted to investigate the mechanical functionality and structural integrity of the aorta in other cases of spinal deformities, and there is a pressing need to consider aortic dilatation within the proper context of body size, with group-specific allometric scaling appropriate for comparisons across different mouse models.

Supplementary Material

Figure S1.

Parameters for a normal allometric scaling d^Psys=αMβ (B, dashed line) of the systolic inner diameter of the ascending thoracic aorta (dPsys) with body mass (=) of adult male mice (~17 to 40 g body mass) are estimated through a linear regression on the natural logarithms of the two variables (A, dashed line) from 21 control mice on a similar mixed genetic background (crosses in A and B), as reported in (Bellini et al. 2017b). The allometric scaling is then refit accounting for perivascular tethering and anesthesia (C, D), which together cause a 39% decrease in luminal pressure and a 21% decrease in systolic axial stretch (Ferruzzi et al. 2018a), to reproduce values of inner diameters close to those measured in vivo in anesthetized mice (dPsys,adj). The shaded areas envelope 95% confidence intervals. Finally, note that allometric scaling over all ages from birth through adulthood would be expected to result in different values for α > 0 and β < 1, but scaling for these adult male mice is most appropriate herein and the data are described well by this relation.

Figure S2.

Similar to Figure S1, parameters for a normal allometric scaling d^P0=αMβ (B, gray dashed line) of the unloaded inner diameter of the ascending thoracic aorta (dP0) with body mass (M) of adult male mice (~17 to 40 g body mass) are estimated through a linear regression on the natural logarithms of the two variables (A, gray dashed line) from 21 control mice on a similar mixed genetic background (gray crosses in A and B), as reported in (Bellini et al. 2017b). Similar to panel K in Figure 1, the estimated allometric relation predicts theoretical changes in the ratio d^P0/M as a function of M (C, gray dashed line). In addition, this figure also compares logdP0 (A), dP0 (B), and ratio dP0/M (C) for each of the experimental specimens and prior controls (gray crosses, from (Bellini et al. 2017b)) to the theoretical curves. Similar to panel L in Figure 1, dot plots of the ratio dP0/d^P0 measure how closely each specimen adheres to normal allometric scaling (D). Unlike Fbn1mgR/mgR TAA specimens, double mutant specimens fall within the 95% confidence intervals (shaded areas), confirming that absence of LTBP-3 attenuates the aneurysmal dilatation in the mgR mutant mouse, consistent with its normalization of gene expression, TGFβ signaling, and microstructure (Zilberberg et al. 2015). Statistical significance is set to *p < 0.05.

Figure S3.

Isoenergy contour plots for the ATA (top row) and the DTA (bottom row) for all four genotypes, with that for the WT shown equally in all plots as light grey curves to facilitate comparisons to controls. Each line identifies combinations of circumferential and axial stretches that result in the same value of stored energy. The symbols (open diamond for wild-type, black circle for the mutants) represent energy storage at 100 mmHg and the group-specific physiologic value of axial stretch, and correspond to the values reported in Tables S1 and S2. Note that adjacent contours radiating outward represent energy values of: 0.1, 1, 5, 10, 20, 40, 60, 100, 250, and 500 kPa, which are thus not incremented equally.

Table S1.

Passive geometric, material, and structural metrics of ATAs from all four genotypes: wild-type control (WT), LTBP-3 null (Ltbp3−/−), fibrillin-1 deficient (Fbn1mgR/mgR) without or with aneurysm (TAA), and double mutant (Fbn1mgR/mgR:Ltbp3−/−). Pressure-dependent metrics are calculated at specimen-specific values of in vivo axial stretch but at common pressures of 100 mmHg and 120 mmHg to facilitate comparisons. Superscripts indicate a statistically significant difference, with p<0.05 compared to WT (*) or Fbn1mgR/mgR (†).

Table S2.

Passive geometric, material, and structural metrics of DTAs from all four genotypes: wild-type control (WT), LTBP-3 null (Ltbp3−/−), fibrillin-1 deficient (Fbn1mgR/mgR), and double mutant (Fbn1mgR/mgR:Ltbp3−/−).Pressure-dependent metrics are calculated at specimen-specific values of in vivo axial stretch but at common pressures of 100 mmHg and 120 mmHg to facilitate comparisons. Superscripts indicate a statistically significant difference, with p<0.05 compared to WT (*) or Fbn1mgR/mgR (†).

ACKNOWLEGMENTS

We thank Professor F. Ramirez, Mt. Sinai School of Medicine, for thoughtful comments, Professor D.M. Milewicz, University of Texas Medical Center – Houston, for stimulating conversations regarding the need to correct aortic diameter according to body size, and Ms. Arunika Makam for the segmentation of the CT images.

FUNDING

This work was supported, in part, by grants from the NIH (P01 HL134605 to DBR, with Core C to JDH, as well as R01 HL105297 and U01 HL116323 to JDH), and The Marfan Foundation to DBR.

Footnotes

CONFLICTS OF INTEREST

None to disclose.

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Associated Data

This section collects any data citations, data availability statements, or supplementary materials included in this article.

Supplementary Materials

Figure S1.

Parameters for a normal allometric scaling d^Psys=αMβ (B, dashed line) of the systolic inner diameter of the ascending thoracic aorta (dPsys) with body mass (=) of adult male mice (~17 to 40 g body mass) are estimated through a linear regression on the natural logarithms of the two variables (A, dashed line) from 21 control mice on a similar mixed genetic background (crosses in A and B), as reported in (Bellini et al. 2017b). The allometric scaling is then refit accounting for perivascular tethering and anesthesia (C, D), which together cause a 39% decrease in luminal pressure and a 21% decrease in systolic axial stretch (Ferruzzi et al. 2018a), to reproduce values of inner diameters close to those measured in vivo in anesthetized mice (dPsys,adj). The shaded areas envelope 95% confidence intervals. Finally, note that allometric scaling over all ages from birth through adulthood would be expected to result in different values for α > 0 and β < 1, but scaling for these adult male mice is most appropriate herein and the data are described well by this relation.

Figure S2.

Similar to Figure S1, parameters for a normal allometric scaling d^P0=αMβ (B, gray dashed line) of the unloaded inner diameter of the ascending thoracic aorta (dP0) with body mass (M) of adult male mice (~17 to 40 g body mass) are estimated through a linear regression on the natural logarithms of the two variables (A, gray dashed line) from 21 control mice on a similar mixed genetic background (gray crosses in A and B), as reported in (Bellini et al. 2017b). Similar to panel K in Figure 1, the estimated allometric relation predicts theoretical changes in the ratio d^P0/M as a function of M (C, gray dashed line). In addition, this figure also compares logdP0 (A), dP0 (B), and ratio dP0/M (C) for each of the experimental specimens and prior controls (gray crosses, from (Bellini et al. 2017b)) to the theoretical curves. Similar to panel L in Figure 1, dot plots of the ratio dP0/d^P0 measure how closely each specimen adheres to normal allometric scaling (D). Unlike Fbn1mgR/mgR TAA specimens, double mutant specimens fall within the 95% confidence intervals (shaded areas), confirming that absence of LTBP-3 attenuates the aneurysmal dilatation in the mgR mutant mouse, consistent with its normalization of gene expression, TGFβ signaling, and microstructure (Zilberberg et al. 2015). Statistical significance is set to *p < 0.05.

Figure S3.

Isoenergy contour plots for the ATA (top row) and the DTA (bottom row) for all four genotypes, with that for the WT shown equally in all plots as light grey curves to facilitate comparisons to controls. Each line identifies combinations of circumferential and axial stretches that result in the same value of stored energy. The symbols (open diamond for wild-type, black circle for the mutants) represent energy storage at 100 mmHg and the group-specific physiologic value of axial stretch, and correspond to the values reported in Tables S1 and S2. Note that adjacent contours radiating outward represent energy values of: 0.1, 1, 5, 10, 20, 40, 60, 100, 250, and 500 kPa, which are thus not incremented equally.

Table S1.

Passive geometric, material, and structural metrics of ATAs from all four genotypes: wild-type control (WT), LTBP-3 null (Ltbp3−/−), fibrillin-1 deficient (Fbn1mgR/mgR) without or with aneurysm (TAA), and double mutant (Fbn1mgR/mgR:Ltbp3−/−). Pressure-dependent metrics are calculated at specimen-specific values of in vivo axial stretch but at common pressures of 100 mmHg and 120 mmHg to facilitate comparisons. Superscripts indicate a statistically significant difference, with p<0.05 compared to WT (*) or Fbn1mgR/mgR (†).

Table S2.

Passive geometric, material, and structural metrics of DTAs from all four genotypes: wild-type control (WT), LTBP-3 null (Ltbp3−/−), fibrillin-1 deficient (Fbn1mgR/mgR), and double mutant (Fbn1mgR/mgR:Ltbp3−/−).Pressure-dependent metrics are calculated at specimen-specific values of in vivo axial stretch but at common pressures of 100 mmHg and 120 mmHg to facilitate comparisons. Superscripts indicate a statistically significant difference, with p<0.05 compared to WT (*) or Fbn1mgR/mgR (†).

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