Galectin-3 inhibition ameliorates hypoxia-induced pulmonary artery hypertension
- Authors:
- Published online on: December 9, 2016 https://doi.org/10.3892/mmr.2016.6020
- Pages: 160-168
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Copyright: © Hao et al. This is an open access article distributed under the terms of Creative Commons Attribution License.
Abstract
Introduction
Pulmonary arterial hypertension (PAH) is a progressive and life-threatening disease that results in a progressive increase in pulmonary vascular resistance, cardiac failure and mortality (1). Chronic hypoxia is an important contributing factor to PAH, which is characterized by pulmonary vascular remodeling (2). The remodeling process includes proliferation of intima, hypertrophy of the medial and adventitial layers, and deposition of extracellular matrix (3,4). Pulmonary arteries display complex structural and functional changes in PAH, and endothelial cell dysfunction is important in disease progression; various cell types, growth factors and their receptors have been implicated in the development of PAH (5,6). Vascular smooth muscle cells (VSMCs) are present in the medial wall of blood vessels and are normally quiescent, expressing a differentiated phenotype to maintain vascular tone under normal physiological conditions. However, under pathological conditions, VSMCs can switch to a ‘synthetic’ phenotype in which they secrete inflammatory cytokines and contribute to the vascular pathogenesis (7). Unfortunately, few therapies have, so far, proven to be effective against pulmonary arterial structure remodeling following the development of PAH.
Galectin-3 (Gal-3) is an important member of the lectin family, and is composed of a highly conserved N-terminal domain and a C-terminal carbohydrate recognition domain that preferentially interacts with β-galactosides (8). It is expressed in various cell types, including fibroblasts, endothelial cells and inflammatory cells (9–11), within the cytoplasm, nucleus, and extracellular space, and binds to the cell surface (12). Gal-3 is involved in numerous physiological and pathological processes, and has been demonstrated to be a central contributor to the progression of atherosclerotic plaques by amplification of key proinflammatory molecules in the aorta (13). Furthermore, Gal-3 is closely associated with cardiac dysfunction via induction of cardiac fibroblast proliferation, collagen deposition and ventricular dysfunction (14). However, to the best of our knowledge, its effects on PAH have not thus far been investigated. Considering the pathophysiology of PAH and the physiological role of Gal-3, it is reasonable to hypothesize that Gal-3 is associated with the pathogenesis of PAH, an angioproliferative vasculopathy.
In the present study, Gal-3 was hypothesized to be involved in hypoxia-induced PAH. The role and underlying mechanism of Gal-3 in hypoxia-induced PAH was investigated in vitro and in vivo.
Materials and methods
Animals
The study was approved by the ethics committee of the Medical College of Qingdao University (approval no. 2015–107; Qingdao, China). A total of 45 mice were obtained from Jackson Laboratory (Bar Harbor, ME, USA): 30 male C57BL/6J mice, aged 10 weeks, 20–25 g; and 15 male Gal-3−/− mice, aged 10 weeks, 20–25 g (15). The C57BL/6J mice were randomly divided into two groups: The normal control group (15 mice) and the hypoxia group (15 mice). The C57BL/6J mice in the control group were exposed to normoxic conditions, whereas the C57BL/6J mice in the hypoxia group and the 15 Gal-3−/− mice were exposed to hypoxic conditions (10% O2) using a 500-liter ventilated chamber (Flufrance Apparatus, Cachan, France) for 4 weeks as described previously (16). All animals were kept in the same room on a 12 h light: 12 h dark cycle at 22°C, and had ad libitum access to standard mouse chow and water. The investigation was performed in accordance with the Guide for the Care and Use of Laboratory Animals (publication no. 82–23, revised in 1996; National Institutes of Health, Bethesda, MD, USA).
Measurement of right ventricular systolic pressure (RVSP) and Fulton's index
Prior to euthanasia by intraperitoneal administration of ketamine (100 mg/kg) and xylazine (10 mg/kg), the RVSP of mice was measured by right heart catheterization. Briefly, mice were anesthetized with intraperitoneal injection of pentobarbital sodium (50 mg/kg), then orally intubated and ventilated using a rodent respirator (Harvard Apparatus, Holliston, MA, USA). The tidal volume was set at 250 µl, and the respiratory rate was set at 120 breaths per minute. The right jugular vein was isolated, and a small polyethylene catheter was passed through a small transverse cut and advanced into the right ventricle. RVSP was recorded using a miniature pressure transducer (MPCU-200; Millar, Inc., Houston, TX, USA) digitized by a data acquisition system (ML800 Powerlab 16/30, ADInstruments, Ltd., Oxford, UK). Following measurement of RVSP, the right ventricle (RV), left ventricle (LV) and the septum (S) were isolated and weighed, and the Fulton's index was calculated according to the following formula: Fulton's index = RV/(LV + S).
Cell culture and cell transfection
Human pulmonary arterial endothelial cells (HPAECs, catalog no. PCS-100-022) and human pulmonary arterial smooth muscle cells (HPASMCs, catalog no. PCS-100-023) were purchased from the American Type Culture Collection (ATCC; Manassas, VA, USA) and cultured in endothelial cell medium or smooth muscle cell medium (ScienCell Research Laboratories, San Diego, CA, USA) containing 10% fetal bovine serum (FBS; Gibco; Thermo Fisher Scientific, Inc., Waltham, MA, USA) at 37°C in a 5% CO2 and 95% air atmosphere. Cells were used for the subsequent experiments up to passage 4. THP-1 monocytes (catalog no. TIB-202; ATCC) were cultured in RPMI-1640 medium (Gibco; Thermo Fisher Scientific, Inc.) containing 2 mM L-glutamine, 10% FBS and 100 U/ml penicillin and 100 µg/ml streptomycin (Gibco; Thermo Fisher Scientific, Inc.).
To inhibit Gal-3 expression in HPAECs and HPASMCs, cells were transfected with 50 nM small interfering RNA (siRNA) negative control (si-NC) or 50 nM Gal-3 siRNA (Shanghai GenePharma, Shanghai, China) in Optimem medium (Invitrogen; Thermo Fisher Scientific, Inc.) using Lipofectamine 2000 (Invitrogen; Thermo Fisher Scientific, Inc.) for 24 h at 37°C. The sequences for siRNA were as follows: Gal-3 siRNA, 5′-GCUCCAUGAUGCGUUAUCU-3′, and si-NC, 5′-UUGAUGUGUUUAGUCGCUA-3′. HPAECs and HPASMCs (2×106 cells) were then exposed to normoxic conditions (control group) or hypoxic conditions (10% O2, 5% CO2) in a cell culture incubator at 37°C for 48 h (14).
Measurement of HPASMC proliferation and flow cytometric analysis
For cell counting, HPASMCs were seeded in a 6-well plate at a density of 5,000 cells/well, then exposed to normal or hypoxic conditions, with or without Gal-3 siRNA transfection. At the end of the experiment, cells were washed in PBS, harvested with trypsin, and counted using a hemocytometer. Cell cycle distribution was detected through flow cytometry using a cell cycle analysis kit (catalog no. C1052; Beyotime Institute of Biotechnology, Haimen, China). Briefly, HPASMCs were seeded in a 6-well plate (Corning Incorporated, Corning, NY, USA) at a density of 5,000 cells/well at 37°C for 24 h and preincubated with 25 µM diindolylmethane for 1 h, then trypsinized and fixed with 70% ethanol at 4°C, overnight. The fixed cells were collected by centrifugation at 800 × g for 15 min, washed once in PBS and incubated with 1 ml propidium iodide (PI) staining buffer (20 µg/ml PI and 50 µg/ml RNase A), then analyzed with a fluorescence-activated cell sorter (FACS). The cell cycle distributions were analyzed using Multicycle AV software version 1.0 (Phoenix Flow Systems, San Diego, CA, USA).
Reverse transcription-quantitative polymerase chain reaction (RT-qPCR)
Total RNA was extracted from homogenized pulmonary arteries using TRIzol reagent (Invitrogen; Thermo Fisher Scientific, Inc.). Purified RNA (1 µg) was treated with DNase and reverse transcribed using RevertAid first strand cDNA synthesis kit (Thermo Fisher Scientific, Inc.) according to the manufacturer's protocol. mRNA expression was analyzed by RT-qPCR with iQ SYBR Green Supermix (Bio-Rad Laboratories, Inc., Hercules, CA, USA). qPCR was performed using the following primers: Cyclin D1, forward 5′-CAGACCAGCCTAACAGATTTC-3′, reverse 5′-TGACCCACAGCAGAAGAAG-3′; p27, forward 5′-CTTGGAGAAGCACTGCCGAGAT-3′, reverse 5′-CCCTGGACACTGCTCCGCTA-3′; Gal-3, forward 5′-GTTATCTGGGTCTGGAAACC-3′, reverse 5′-TCTGTTTGCATTGGGCTTCACC-3′; and β-actin, forward 5′-ATCATGTTTGAGACCTTCAACA-3′ and reverse 5′-CATCTCTTGCTCGAAGTCCA-3′. Amplification, detection, and data analysis involved the use of the iCycler version 3.1 real-time PCR system (Bio-Rad Laboratories, Inc.). PCR amplification cycling conditions were: 95°C for 5 min, 36 cycles at 95°C for 10 sec, annealing at 56°C for 30 sec and elongation at 72°C for 30 sec. The relative expression of genes was obtained using the 2−ΔΔCq calculation method (17). Each sample was analyzed in triplicate, and the expression was normalized to that of β-actin.
Western blot analysis
Total protein was extracted from homogenized murine pulmonary arteries and HPASMCs using radioimmunoprecipitation assay lysis buffer (Beyotime Institute of Biotechnology), then centrifuged at 10,000 × g for 5 min and the supernatant was collected. The protein concentrations were assayed by bicinchoninic assay (Beyotime Institute of Biotechnology). The samples (50 µg per lane) were separated on 10% SDS-polyacrylamide gels and electrophoretically transferred onto nitrocellulose membranes (EMD Millipore, Billerica, MA, USA). Membranes were blocked with 5% non-fat milk for 2 h at room temperature, then washed three times in TBS-0.1% Tween 20 for 10 min, and incubated with the appropriate primary antibodies: Rabbit anti-Gal-3 (catalog no. 87985; 1:1,000; Cell Signaling Technology, Inc., Danvers, MA, USA), rabbit anti-intercellular adhesion molecule 1 (ICAM-1; catalog no. 4915; 1:1,000; Cell Signaling Technology, Inc.), rabbit anti-cyclin D1 (catalog no. 2978; 1:1,000; Cell Signaling Technology, Inc.), rabbit anti-p27 (catalog no. ab32034; 1:500; Abcam, Cambridge MA, USA), rabbit anti-α-smooth muscle actin (SMA; catalog no. 14968; 1:1,000; Cell Signaling Technology, Inc.), rabbit anti-smooth muscle calponin (CNN; catalog no. ab46794; 1:1,000; Abcam) or rabbit anti-β-actin (catalog no. 4970; 1:1,000; Cell Signaling Technology, Inc.) at 4°C overnight. Membranes were then washed three times in TBS+0.1% Tween 20, then incubated with a horseradish peroxidase-conjugated secondary antibodies (catalog nos. ZB-2301 and ZB-2305; 1:1,000, ZSGB-BIO, Beijing, China) for 2 h at 25°C. Immune complexes were detected using enhanced chemiluminescence (EMD Millipore) and analyzed by Image-Pro Plus 6.0 (Media Cybernetics, Inc., Rockville, MD, USA).
ELISA
Cell culture supernatants were obtained by centrifugation at 1,000 × g for 10 min at 4°C. Secretion of tumor necrosis factor-α (TNF-α) and interleukin-1β (IL-1β)) was determined using ELISA kits according to the manufacturer's protocols (catalog no. #070133, Uscn Life Sciences, Inc., Wuhan, China and catalog no. FHK0016, Jiamay Biotech Co. Ltd., Beijing, China, respectively). All operations were performed at room temperature. Mean absorbance for standards and samples was assessed in duplicate. The color reaction was detected using a Varioskan Flash multifunction plate reader (Thermo Fisher Scientific, Inc.).
Monocyte adhesion assay
THP-1 monocyte adhesion assays were performed as previously described (18). Briefly, THP-1 cells (5×105 cells/ml) were labeled with 10 µM 2′,7′-bis-(2-carboxyethyl)-5-(and-6)-carboxyfluorescein, acetoxymethyl ester fluorescent dye (Beyotime Institute of Biotechnology) in serum-free RPMI-1640 medium (Gibco; Thermo Fisher Scientific, Inc.) for 45 min at 37°C with frequent agitation. Following exposure to hypoxia in the presence or absence of siRNA, the HPAEC monolayers (90% confluence) were washed with endothelial cell medium and the THP-1 cells (5×105 cells) were added. Following incubation for 45 min at 37°C, unbound monocytes were removed by washing with PBS, cells were then fixed with 4% paraformaldehyde and mounted onto a glass coverslip. Bound monocytes were quantified by counting the cells under a fluorescent microscope (two wells for each condition, with five fields of view assessed).
Statistical analysis
Data are expressed as the mean ± standard deviation of at least three replicates. Analyses were performed using SPSS version 13.0 for Windows (SPSS, Inc., Chicago, IL, USA). All statistical comparisons were performed using one-way analysis of variance with least significant difference post-hoc analysis or Chi-squared tests. P<0.05 was considered to indicate a statistically significant difference.
Results
Gal-3 inhibition reduces the hypoxia-induced increase in RVSP and Fulton's index in vivo
Gal-3 mRNA and protein expression levels were examined in three groups of mice: i) Wild type mice in normoxic conditions; ii) wild type mice in hypoxic conditions; and iii) Gal-3−/− mice in hypoxic conditions. Gal-3 mRNA and protein expression was undetectable in Gal-3−/− mice (Fig. 1A and B), whereas Gal-3 mRNA and protein expression in hypoxic wild type mice were significantly increased compared with the normoxic control group (P<0.001 and P<0.001, respectively; Fig. 1A and B). The hypothesis that Gal-3 deletion may alleviate PAH in mice was then examined through measurement of hemodynamic parameters prior to euthanasia. No significant difference was observed in mean blood pressure and heart rate between the groups (data not shown). Compared with normoxic wild type control mice, mice in the wild type hypoxia group had a higher RVSP (P<0.001; Fig. 1C). However, the RVSP was significantly reduced in hypoxic Gal-3−/− mice compared with hypoxic wild type mice (P=0.002; Fig. 1C). It has previously been demonstrated that exposure to chronic hypoxia promotes right ventricular hypertrophy (19); in the present study, Fulton's index was used to assess right ventricular hypertrophy. Hypoxia was demonstrated to significantly increase the Fulton's index in wild type mice compared with normoxic wild type control mice (P<0.001; Fig. 1D), whereas it was reduced in hypoxic Gal-3−/− mice compared with hypoxic wild type mice (P<0.001; Fig. 1D). These findings suggest that deletion of Gal-3 reduces hypoxia-induced increases in RVSP and RV hypertrophy.
Hypoxia induces in vitro expression of Gal-3
The effect of hypoxia on Gal-3 expression was then investigated in vitro. Gal-3 mRNA and protein expression levels were detected in HPAECs and HPASMCs cultured under normoxic and hypoxic conditions. HPAECs and HPASMCs were also transfected with si-Gal-3 siRNA to inhibit Gal-3 expression and si-NC, and cultured under hypoxic conditions. Compared with the normoxic control group, hypoxia significantly increased Gal-3 mRNA and protein expression levels in untransfected cells (P<0.05; Fig. 2), whereas hypoxic cells transfected with si-Gal-3 demonstrated significantly reduced levels of Gal-3 mRNA and protein expression compared with untransfected hypoxic cells (P<0.05; Fig. 2).
Gal-3 inhibition reduces the hypoxia-induced inflammatory response
Following 48 h stimulation of HPAECs with hypoxia, TNF-α and IL-1 secretion levels were assessed by ELISA (Fig. 3A and B), ICAM-1 protein expression levels were analyzed by western blotting (Fig. 3C), and THP-1 monocyte adhesion was analyzed by monocyte adhesion assay (Fig. 3D). Compared with the normoxic control group, hypoxia increased TNF-α and IL-1 secretion (P<0.001 and P<0.001, respectively; Fig. 3A and B, respectively), ICAM-1 protein expression (P<0.001; Fig. 3C), and the number of adhered THP-1 cells (P<0.001; Fig. 3D). Gal-3 inhibition in hypoxic cells resulted in reduced TNF-α and IL-1 secretion (P<0.001 and P<0.001, respectively; Fig. 3A and B), reduced ICAM-1 protein expression (P<0.001; Fig. 3C), and fewer adhered THP-1 cells (P<0.05; Fig. 3D) compared with untransfected hypoxic cells.
Gal-3 inhibition reduces hypoxia-induced HPASMC proliferation
Following 48 h of hypoxic stimulation of HPASMCs, cells were harvested and counted using a hemocytometer (Fig. 4A). The mean number of viable HPASMCs in the hypoxia group was 1.65-fold higher than that in the normoxic control group (P=0.002; Fig. 4B). However, Gal-3 inhibition in hypoxic cells significantly reduced the mean number of viable HPASMCs compared with untransfected hypoxic cells (P=0.019; Fig. 4B).
Gal-3 inhibition results in HPASMC arrest in G0/G1-phase under conditions of hypoxia
Cell proliferation depends on cell cycle transition from G0/G1-phase to S-phase and G2/M-phase. The effect of Gal-3 inhibition on the cell cycle distribution of HPASMCs was, therefore, analyzed. Hypoxia reduced the number of cells in G0/G1-phase compared with normoxic control cells (P=0.032; Fig. 4C), whereas Gal-3 inhibition in hypoxic cells arrested more HPASMCs in the G0/G1-phase (P=0.046; Fig. 4C).
Gal-3 inhibition reduces cyclin D1 expression, but increases p27 expression
The underlying mechanism of Gal-3 modulation on cell proliferation and the cell cycle was then investigated. Previous studies have demonstrated that cyclin D1 and p27 are important in cell proliferation and the cell cycle (20); therefore, their mRNA and protein expression levels were examined in vitro. RT-qPCR revealed that mRNA expression levels of cyclin D1 were significantly reduced by Gal-3 inhibition in hypoxic cells compared with untransfected hypoxic cells (P=0.002; Fig. 5A), whereas Gal-3 inhibition in hypoxic cells increased p27 mRNA expression compared with untransfected hypoxic cells (P=0.048; Fig. 5B). Western blot analysis of protein expression levels revealed the same pattern of reduced cyclin D1 protein expression and increased p27 protein expression in hypoxic Gal-3 inhibited cells compared with untransfected hypoxic cells (P<0.001 and P=0.003, respectively; Fig. 5C and D). These results suggest that Gal-3 inhibition may alleviate PAH via regulation of cell cycle.
Gal-3 inhibition suppresses HPASMC transition from ‘contractile’ to ‘synthetic’ phenotype
Under pathological conditions, VSMCs can switch to a ‘synthetic’ phenotype with a reduced expression of SMA and CNN, in which they secrete inflammatory cytokines, and which contributes to vascular pathogenesis (21). To examine the effects of Gal-3 on phenotype switching, protein expression levels of SMA and CNN were measured in HPASMCs. Compared with the control group, hypoxia reduced the expression of SMA and CNN (P<0.001 and P<0.001, respectively; Fig. 6A and B), whereas Gal-3 inhibition increased their expression (P=0.017 and P=0.021, respectively; Fig. 6A and B). These results suggest a critical function of Gal-3 during the phenotype transition of HPASMCs.
Discussion
PAH, which is characterized by a persistent increase in pulmonary artery pressure and pulmonary vascular remodeling, is a progressive disease that is associated with a poor prognosis (22). PAH is diagnosed when the mean pulmonary arterial pressure exceeds 25 mmHg, as measured by right-heart catheterization (18). Although advances have been made in the understanding of PAH and development of treatments, research into effective therapies is still required to improve the long-term survival of patients with fewer side effects than current treatments exert. It has been demonstrated that Gal-3 expression is increased in the left ventricle in the early ischemic period, which may be part of the prosurvival gene expression profile transcribed by hypoxia-inducible factor 1a (23). Increased expression of Gal-3 protects against cell death under conditions of hypoxia and nutrient deprivation (24). In the present study, Gal-3 was demonstrated to be associated with hypoxia-induced PAH. Exposure to chronic hypoxia resulted in significantly elevated RVSP and increased Fulton's index in wild type mice. However, the increase was inhibited in Gal-3−/− mice. Furthermore, Gal-3 inhibition reduced the hypoxia-induced inflammatory response in HPAECs and reduced HPASMC cell proliferation by arresting cells in G0/G1-phase. Gal-3 inhibition also resulted in reduced expression of cyclin D1 and increased p27 expression in HPASMCs, and inhibited the switch of HPASMCs to a ‘synthetic’ phenotype. These novel findings contribute to the understanding of the mechanism by which Gal-3 inhibition ameliorates hypoxia-induced PAH.
Inflammation is important during PAH disease progression (25). There is an increase in serum levels of several chemokines and cytokines related to inflammatory processes during PAH (26). Cytokines are a large group of signaling proteins, which regulate numerous biological processes, including inflammation, immunity and hematopoiesis. Cytokines, such as TNF-α, IL-8 and monocyte chemotactic protein-1, contribute to leukocyte recruitment, endothelin-1 induction, and smooth muscle cell (SMC) proliferation (26,27). In a previous study, rats treated with a TNF-α inhibitor demonstrated amelioration in pulmonary hemodynamics, right ventricular hypertrophy and pulmonary inflammation (28). In the present study, hypoxia was demonstrated to increase TNF-α and IL-1 secretion, increase ICAM-1 protein expression and increase adhesion of THP-1 monocytes in vitro, whereas Gal-3 inhibition by siRNA was demonstrated to reduce the inflammatory response. This may be one mechanism by which Gal-3 inhibition protects against PAH.
Similar to other vasculopathies, PAH is characterized by severe angioproliferative vascular remodeling (29). The proliferation of HPASMCs is important in the progression of PAH; effective inhibition of aberrant HPASMC proliferation can delay, and even halt, the deteriorative progress of PAH (5). In the present study, under conditions of hypoxia, few HPASMCs remained in G0/G1 phase and more cells entered the mitotic cycle, whereas Gal-3 inhibition reduced hypoxia-induced HPASMC proliferation, partially through cell cycle arrest in G0/G1-phase. The possible mechanism underlying this effect was then investigated. The cell cycle is regulated by cyclin-dependent kinases (CDK) and CDK inhibitors, which have been key therapeutic targets in treating vascular proliferation-associated diseases (16). Cyclin D1 is the key cell cycle control gene that facilitates the transition of cells from the G1 phase into the S phase (18). A previous study demonstrated that inhibition of cyclin D1 could inhibit VSMC proliferation (30). The present study demonstrated that hypoxia increased the mRNA and protein expression of cyclin D1, whereas Gal-3 inhibition significantly reduced cyclin D1 expression. p27, which is an important CDK inhibitor, can effectively inhibit cyclin D1 activity and negatively regulate G1 progression in cells (31). It has been demonstrated that p27 is one of the potent inhibitors of VSMC growth in vivo and in vitro (32,33). Fouty et al (29) demonstrated that p27 modulates PASMC proliferation during mitogenic stimulation, and that overexpression of p27 decreases PASMC proliferation. The present study demonstrated that Gal-3 inhibition increases p27 mRNA and protein expression.
The principal phenotype of SMCs is contractile, which preserves vasodilation and blood flow regulation under normal physiological conditions. However, in pathological conditions, SMCs can transform from the differentiated contractile phenotype to a synthetic state, which is characterized by high proliferation, migration and extracellular matrix production. During this process, the contractile ability of SMCs is reduced, resulting in a lack of resistance to environmental stimulation (22). Normally, VSMCs express the contractile phenotype by regulating specific genes, including SMA, CNN and SM22α (21). As a response to stimuli including inflammation, oxidative stress and shear stress, quiescent contractile cells reduce the expression of SMC-specific genes to promote their proliferation, migration and collagen synthesis, in order to remodel the phenotypic state into the synthetic state (34,35). However, aberrant phenotype transitioning leads to pulmonary arterial remodeling. In the present study, hypoxia was observed to reduce SMA and CNN protein expression, whereas Gal-3 inhibition increased their expression. These results suggested that Gal-3 inhibition could suppress the transformation of HPASMCs from a contractile to a synthetic phenotype.
In conclusion, the present study presents evidence that Gal-3 inhibition reduces the increased RVSP and alleviated RV hypertrophy of mice with PAH. In vitro Gal-3 inhibition was also demonstrated to reduce the hypoxia-induced inflammatory response and reduce HPASMC proliferation by decreasing cyclin D1 expression and increasing p27 expression. Gal-3 inhibition also maintained a contractile phenotype in HPASMCs. These findings may lead to a useful therapeutic intervention for the treatment of pulmonary hypertensive disorders.
Acknowledgements
The present study was supported by a grant from the National Natural Science Foundation of China (grant no. 81400340).
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