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Associations of Sex Hormone-binding Globulin with Bone Mineral Density Among US Adults, NHANES 2013–2016

Authors Yang F , Yang D, Zhou Y, Wu J 

Received 17 July 2021

Accepted for publication 12 October 2021

Published 4 November 2021 Volume 2021:14 Pages 7707—7717

DOI https://doi.org/10.2147/IJGM.S329992

Checked for plagiarism Yes

Review by Single anonymous peer review

Peer reviewer comments 2

Editor who approved publication: Dr Scott Fraser



Fan Yang,1,2 Dawei Yang,3 Yinan Zhou,4 Jianjun Wu1,2

1Department of Cardiology, The Second Affiliated Hospital of Harbin Medical University, Harbin, People’s Republic of China; 2Key Laboratory of Myocardial Ischemia, Ministry of Education, Harbin Medical University, Harbin, People’s Republic of China; 3Department of Orthopedics, The Fourth Affiliated Hospital of Harbin Medical University, Harbin, People’s Republic of China; 4Department of Digestive Internal Medicine, The First Affiliated Hospital of Harbin Medical University, Harbin, People’s Republic of China

Correspondence: Jianjun Wu
Department of Cardiology, The Second Affiliated Hospital of Harbin Medical University, Harbin, Province Heilongjiang, 150001, People’s Republic of China
Tel +86-13684510900
Email [email protected]
Fan Yang
The Key Laboratory of Myocardial Ischemia, Chinese Ministry of Education, Harbin, Province Heilongjiang, 150001, People’s Republic of China
Tel +86-18545850825
Email [email protected]

Background: Bone metabolism can be influenced by sex steroid hormones. However, the relationship between sex steroid hormones and bone mineral density (BMD) remains inconsistent. Our study explored existing evidence of the association between sex hormones, blood glucose and BMD.
Methods: We conducted a cross-sectional study of 6434 participants aged 18– 80 years in the National Health and Nutrition Examination Survey (NHANES) 2013– 2016 to assess the association between SHBG and BMD. The multivariable linear regression models were performed to evaluate the associations between testosterone, estrogen, sex hormone-binding globulin (SHBG) and BMD.
Results: On adjustment for traditional risk factors (age, BMI, ALB, ALK, ASP, calcium, cholesterol, potassium, sodium, total protein, uric acid), SHBG could be regarded as an independent predictor for BMD, while fasting blood glucose did not. SHBG levels were significant associated with BMD in the multivariate model; however, it will be a different effect between the genders. On comparative analysis, high level SHBG was predictive of lumbar BMD irrespective of other two sex steroid hormones.
Conclusion: This study indicated that SHBG may improve the predictive value for bone loss in adults.

Keywords: sex steroid hormones, SHBG, bone mineral density, NHANES

Introduction

Since the number of senior citizens increased dramatically especially in developed countries, the burden of life-threatening conditions is increased. Osteoporosis is a systemic skeleton disease characterized by an imbalance of bone metabolism and high risk of fractures, whose clearly fundamental pathophysiological is mechanical microenvironment.1,2 As an age-related disease, osteoporosis has multiple similar characteristics with diabetes, cardiovascular disease and fractures that affects an estimated 44 million Americans over the age of 50 years, leading to significant morbidity, mortality, and disability all over the world.3,4 However, the clear understanding of associated characteristics between osteoporosis and body metabolism has not been fully revealed.

Organ to organ crosstalk greatly impacts metabolism. The interrelation between cortisol and bone metabolism is complex.5,6 Sex hormone deficiency in both genders results in bone loss and bone strength or fracture risk depending on bone quality, as well as bone mineral density (BMD).7,8 BMD levels are influenced by environmental and genetic factors and closely associated with osteoporosis or bone fracture. The association between serum sex steroid hormones levels and BMD in adults has been investigated previously. And most studies have demonstrated that there is a negative relationship between sex hormone-binding globulin (SHBG) levels and BMD.9–11 Sex steroid hormones are responsible for the normal working of heart and kidney, and are produced by ovaries in females and testes in males.12 Sex hormone-binding globulin (SHBG) has been regarded as a specific plasma transport glycoprotein of sex steroid hormones, including testosterone, estrogen, and progesterone.13 Any association between SHBG and BMD remain inconclusive. In a cross-sectional study of nondiabetic men, SHBG levels were inversely associated with glycated hemoglobin level, suggesting a relationship between SHBG and glucose homeostasis among individuals without diabetes.14 In addition to epidemiologic studies demonstrating a consistent relationship between decreased levels of serum SHBG and incident T2DM, recent genetic studies also reveal that transmission of specific polymorphisms in the SHBG gene influence risk of T2DM. Several polymorphisms in the human SHBG gene has been found that genotype analysis of the exon 2 SHBG SNPs, rs6257 and rs6259, are associated with insulin resistance and reducing bone mineral density.15 A widely accepted theory about how SHBG is involved in bone metabolism is based on its anti-estrogenic effect. Higher SHBG binds to estrogen to reduce its biologically active form, which consequently reduces BMD and increases fracture risk. Because of the limitation of retrospective studies, and the changes in SHBG and BMDs over time were not examined, therefore, whether their changes are involved in the interactions is still controversial. At present, the most important known function of SHBG appears to be to regulate the bioavailability of circulating hormones. Therefore, we add to existing evidence of the association between sex hormones, blood glucose and BMD, using population data from NHANES 2013–2016.

Methods

Data Sources

Data was extracted from the 2013–2016 National Health and Nutrition Examination Survey (NHANES, n=6343), which was designed and conducted by the National Center for Health Statistics (NCHS) and freely available on the Internet for researchers throughout the world. For baseline statistical analysis, participants (n=6343) were grouped into: young (n=2137), mid-age (n=3033), and elderly (n=1264). For comparing sex steroid hormone (nmol/L) with fasting glucose to BMD, participants were divided into four groups. Group 1 (n=100): FBG ≤6.0 and low sex steroid hormone level; group 2 (n=46): FBG >6.0 and low sex steroid hormone level; group 3 (n=169): FBG ≤6.0 and high sex steroid hormone level; group 4 (n=43): FBG >6.0 and high sex steroid hormone level. For exploring differences between genders, participants were divided into males (n=3175) and females (n=3259). The survey protocol was approved by the Institutional Review Board of the Centers for Disease Control and Prevention (protocol #98-12 and protocol #2005–2006). The National Center for Health Statistics ethics review board approved the protocols (https://www.cdc.gov/nchs/nhanes/irba98.htm). Written informed consent was obtained from all participants.

Data Collection and Definition

All participants have provided information on demographics (age, sex, and PIR), laboratory data (fasting serum glucose, mmol/L; blood sex hormone-binding globulin, SHBG, nmol/L), physical examination data (standing height, cm; weight, kg; body mass index, BMI, kg/m2; systolic blood pressure, SBP, mmHg; diastolic blood pressure, DBP, mmHg; bone mineral density, BMD, g/cm2; albumin, g/dL; alkaline phosphatase, IU/L; aspartate aminotransferase, IU/L; alanine aminotransferase, IU/L; bicarbonate, mmol/L; total calcium, mg/dL; cholesterol, mg/dL; globulin, g/dL; potassium, mmol/L; sodium, mmol/L; phosphorus, mg/dL; total bilirubin, mg/dL; total protein, g/L; uric acid, umol/L; total testosterone, ng/dL; estradiol, pg/mL) are all described on the NHANES website at https://wwwn.cdc.gov/Nchs/Nhanes/continuousnhanes/default.aspx?BeginYear=2013.Serum glucose (nonfasting) was measured by means of a Roche/Hitachi Chemistry Analyzer (Roche Diagnostics, Indianapolis, IN, USA). BMI was defined as mass (kg) divided by the square of height (m2).

Measurement of SHBG

The laboratory method for detecting serum SHBG in NHANES was described in detail on website (https://wwwn.cdc.gov/Nchs/Nhanes/2013-2014/TST_H.htm). SHBG in blood affects the amount of biologically active steroid hormones, and its concentrations were determined using Roche/Hitachi cobase 411 analyzer from the serum sample and not taken from patients receiving therapy with high biotin doses (i.e. >5 mg/day) until at least eight hours following the last biotin administration (https://wwwn.cdc.gov/nchs/data/nhanes/2013-2014/labmethods/TST_H_MET_Sex_Hormone_Binding_Globulin.pdf).

Measurement of Dual-energy X-ray Absorptiometry – Whole Body

The whole body scans were acquired on the Hologic Discovery model A densitometers (Hologic, Inc., Bedford, MA, USA), using software version Apex 3.2. The radiation exposure from DXA whole body scans is extremely low at less than 20 uSv. The Hologic software, APEX v 4.0 (Hologic) was used to analyze whole body scans acquired in 2013–2016. Further details of the DXA examination protocol are documented in the Body Composition Procedures Manual located on the NHANES website.

Statistical Analysis

All continuous variables were presented as mean ±standard deviation. An initial descriptive analysis utilized chi-squared and ANOVA tests to examine significant differences in baseline demographic and disease characteristics across levels of fasting blood glucose and diabetes status. The one-way ANOVA, Kruskal–Wallis H-test and chi-squared tests were used to determine any statistical differences between subgroups. Statistical analyses were performed using SPSS Version 21 (IBM Corporation, Armonk, NY, USA) and Stata V12.0 (Stata Corporation, College Station, TX, USA).

Results

Associations of Age with Bone Mineral Density Related Index

A total of 6434 subjects were included in the present study (Figure 1). We divided the participants into three groups according to age: groups of young, mid-age, and elderly were compared to our study (Table 1). On the whole, we observed a significant age-dependent changes in BMD, fasting glucose and testosterone. Albumin, ALA, blood calcium, cholesterol, serum sodium, phosphorus, and total bilirubin have the obvious difference with increasing age (p<0.05 for each). In addition, we found an age-dependent decrease of testosterone and estradiol, which is consistent with previous studies. There seems to be obvious decrease in total BMD, thoracic spine BMD, lumbar spine BMD, or pelvis BMD between mid-age and elderly (p<0.01).

Table 1 Weighted Characteristics of Study Sample Based on Age

Figure 1 Research flow chart.

The Relationship Between Variables Was Assessed Using the Pearson Coefficient

Pearson correlation was calculated to assess the strength of relationship between fasting blood glucose, sex hormones and BMD among 6434 participates (Table 2). The fasting blood glucose (FBG) and testosterone were correlated positively with thoracic spine BMD (p<0.001, r=0.105; p<0.001, r=0.119). Estradiol was correlated positively with lumbar spine BMD and pelvis BMD (p<0.001, r=0.115; p<0.001, r=0.099). SHBG showed a negative correlation with thoracic spine BMD and total BMD (p<0.001, r=−0.117; p<0.001, r=−0.126) with positive correlation with lumbar spine BMD (p<0.001, r=−0.049) according to Pearson relationship analysis.

Table 2 Correlation Between BMD in Different Parts and Fasting Glucose/Sex Hormones

Associations Between Sex Steroid Hormone (nmol/L) and Lumbar BMD

We selected confounders on the basis of their associations with the outcomes of interest or a change in effect estimate of more than 10%. In the adjusted analysis (Table 3) the effects were adjusted for age, BMI, ALB, ALK, ASP, calcium, cholesterol, potassium, sodium, total protein, uric acid. No effect was found between FBG and lumbar BMD in two models. The results remained after adjusting for confounders (unadjusted: β=0.02, 95%CI: 0.98–1.07; adjusted: β=0.004, 95%CI: 1.00–1.10). For lower lumbar BMD, all sex steroid hormone level were higher (testosterone: unadjusted β=0.012, 95%CI: 1.00–1.02; adjusted β=0.020, 95%CI: 1.01–1.03; estradiol unadjusted β=0.96, 95%CI: 1.82–3.75; adjusted β=0.76, 95%CI: 1.47–3.09; SHBG unadjusted β=−0.003, 95%CI: 1.00–1.01; adjusted β=0.10, 95%CI: 1.00–1.01).

Table 3 Associations Between Sex Steroid Hormone (nmol/L) and Lumbar BMD

Associations Between Sex Steroid Hormone (nmol/L) and Pelvis BMD

In the adjusted analysis (Table 4) the effects were adjusted for Age, BMI, ALB, ALK, ASP, calcium, cholesterol, potassium, sodium, total protein, uric acid. We found no effect between FBG and pelvis BMD in two models. The results remained after adjusting for confounders (unadjusted: β=0.01, OR 95%CI: 0.97–1.06; adjusted: β=0.01, 95%CI: 0.96–1.05). Testosterone and estradiol levels were higher with increased pelvis BMD (testosterone: unadjusted β=0.007, 95%CI: 1.00–1.02; adjusted β=0.014, 95%CI: 1.00–1.03; estradiol:unadjusted β=0.50, 95%CI: 1.18–2.33; adjusted β=0.42, 95%CI: 1.07–2.18). However, the opposite pattern was observed for SHBG relative change (unadjusted β=−0.007, 95%CI: 0.99–1.00; adjusted β=0.10, 95%CI: 0.99–1.00).

Table 4 Associations Between Sex Steroid Hormone (nmol/L) and Pelvis BMD

Associations Between Sex Steroid Hormone (nmol/L) and Total BMD

In the adjusted analysis (Table 5) the effects were adjusted for age, BMI, ALB, ALK, ASP, calcium, cholesterol, potassium, sodium, total protein, uric acid. There was no effect among FBG and testosterone to total BMD in two models (p>0.05). For lower total BMD, estradiol level were higher and same effect was observed after adjusting for confounders (Estradiol Unadjusted β=0.44, 95%CI: 1.12–2.13; adjusted β=0.39, 95%CI: 1.05–2.07). However, for lower total BMD, SHBG levels were higher with decreased total BMD and no significant effect was observed after adjusting for confounders (unadjusted β=−0.002, 95%CI: 0.996–1.00; adjusted β=−0.001, 95%CI: 1.00–1.002).

Table 5 Associations Between Sex Steroid Hormone (nmol/L) and Total BMD

Compared Sex Steroid Hormone (nmol/L) with Fasting Glucose to BMD

According to the FBG and sex steroid hormone level, participants were divided into four groups. Group 1: FBG ≤6.0 and low sex steroid hormone level; group 2: FBG >6.0 and low sex steroid hormone level; group 3: FBG ≤6.0 and high sex steroid hormone level; group 4: FBG >6.0 and high sex steroid hormone level. Comparison of lumbar spine BMD, pelvis BMD and total BMD among four groups were shown in Table 6 and Figure 2. Our analysis showed that lumbar spine BMD, pelvis BMD and total BMD were all significant increased in group 3 compared with group 1 and group 2. The results indicated that high level of sex steroid hormone level increased BMD, whereas FBG had no significant effect on BMD.

Table 6 Compared Sex Steroid Hormone (nmol/L) with Fasting Glucose to BMD

Figure 2 Group 1: FBG ≤6.0 and low sex steroid hormone level; group 2: FBG >6.0 and low sex steroid hormone level; group 3: FBG ≤6.0 and high sex steroid hormone level; group 4: FBG >6.0 and high sex steroid hormone level. The data are presented as the means ±SD. Statistical analysis was performed by two-way analysis of variance with all pairwise multiple comparison procedures done by Tukey's method, *p<0.001 vs group 1; **p<0.001 vs group 2.

Explore Differences in the Recording of Indicator Index Between Genders

Next, participants were grouped into males (n=3175) and females (n=3259) as shown in Table 8. The mean age in males was 37.39±12.40 compared to group of females with a mean age of 37.95±12.13 (p=0.087). Males had a lower BMI of 28.26±6.25 compared to 29.32±7.72 for females. However, notably, the fasting glucose was higher for males (5.95±1.92 vs 5.71±1.86). Also, BMD indexes were lower in females, whereas SHBG were higher in females (54.78±38.38) compared to males (53.50±48.63).

Multivariate Regression Analysis of SHBG on BMD in Different Genders

We investigated data to explore whether SHBG are significant predictors of BMD by multivariate regression analysis in different genders (Table 7). Among all the subjects, serum SHBG level was statistically significant among the subgroups. Compared with females, males with higher level of SHBG had significantly decreased in thoracic spine BMD (OR: 0.271; 95%CI, 0.073–0.469; p=0.007), lumbar spine BMD (OR: 0.572; 95%CI, 0.292–0.852; p<0.001), pelvis BMD (OR: 0.681; 95%CI, 0.381–0.982; p<0.0001) and total BMD (OR: 0.722; 95%CI, 0.520–0.9250; p<0.001) in model 3. Our data also revealed that the level of SHBG was protective factor in lumbar spine BMD (OR: 1.044; 95%CI,1.011–1.077; p<0.001), pelvis BMD (OR: 1.1092; 95%CI, 1.164–1.220; p<0.001), total BMD (OR: 1.017; 95%CI, 0.979–1.055; p<0.001) in females. Combined with Table 8, the level of SHBG was higher in females than males. Our results demonstrated that SHBG levels were significant associated with BMD in the multivariate model (adjusted for: age, BMI, PIR, fasting blood glucose, calcium, cholesterol, total protein, uric acid, testosterone and estradiol), however, it will be a different effect between the genders. Sex hormones influence bone acquisition and metabolism. Men develop wider bones and greater cortical bone size than women due to periosteal apposition.

Table 7 Multivariate Regression Analysis of SHBG on BMD

Table 8 Compared Sex Steroid Hormone (nmol/L) with Sex to BMD

Discussion

Osteoporosis is a systemic bone disorder with degradation of skeletal micro-architecture, which can impact a variety of bones throughout the body. BMD is affected by age, gender, sex hormone level, smoke, and lifestyle.16 Currently, due to lack of awareness as well as techniques in osteoporosis, it is difficult to achieve the processes of standardized diagnosis and treatment for clinicians. Personal and societal costs of osteoporosis are increasing as the ageing population increases. Aside from age, gender and diabetes status are considered to attribute to osteoporosis,17 which represents a silent epidemic that carries significant mortality and morbidity. The main focus of clinicians is to detect the factor which may effect osteoporosis as early as possible.

We collected 6343 participants in NHANES 2013–2016 and our analysis showed that FBG was increased with age from 30 to 80 years. But the evidence of such a causal relationship between FBG and BMD is not completely consistent (p>0.05, Table 2). FBG did not appear to be associated with lumbar BMD, pelvic BMD and total BMD whether we have adjusted for confounding factors (p >0.05, Tables 35), which is not consistent with previous studies.18–20

Circulating SHBG levels are inversely associated with the risk of developing type 2 diabetes and insulin resistance. Previous studies summarized that bone abnormalities caused by diabetes are all based on those whose blood glucose itself is not well controlled, leading to unhealthy physiological and biochemical changes. The BMD or other indexes could be better than those whose FBG is not well-controlled, even if the FBG is a little higher (no oral anti-glycemic agents or insulin). This means that the underlying mechanism and influencing factors in formation of osteoporosis are complex in our studies.

It has been shown that BMD often decreases substantially after the age of 50, and BMD has been associated with variations in sex hormones.21,22 It is known that sex hormone levels or functional hormone receptors will decrease with age, which plays a significant role in the osteoporosis process.11 Estrogens exert their regulatory potential on exhibiting the upregulating effect through subunit estrogen receptor (ER). ER-α is one part of PGC-1α, which is regarded as the key regulator of energy homeostasis and mitochondrial biogenesis.23 Estrogen prevents bone loss via ER-α to induce downstream genomic signaling and induction of Fas ligand in osteoclasts.24 Selective estrogen receptor modulators (SERMs) have been regarded as a double role in slowing down the bone loss and inhibiting joint inflammation, but, only using estrogen has no protective effect on chondrocytes in animal model.25 One of the strongest regulators of SHBG is hepatocyte nuclear factor 4 alpha (HNF 4-α). HNF 4-α regulates the transcription of multiple target genes implicated in glucose metabolism and insulin secretion.26 It was not clear that whether SHBG was an independent predictor of osteoporosis. Multiple hormonal adaptations, designed to decrease energy expenditure during periods of low energy intake may be to blame for osteoporosis. In a three-year research on male osteoporosis, SHBG positively correlated with bone absorption markers (C-telopeptide of type I collagen and free deoxypyridinoline) after adjustment for age, BMI, and sex steroids both in health controls and postmenopausal osteoporosis patients.11

Our data showed that total BMD, thoracic spine BMD, pelvis BMD and left arm BMD were increased in the mid-age group compared with other groups. Notably, total calcium in mid-age group was lower than other groups. The difference may be caused by increased bone turnover, bone formation, and decreased bone reabsorption. Another possibility is that calcitonin disorders can lead to abnormal bone metabolism. Calcitonin is one of the anti-osteoporosis drugs, which may influence the regeneration of subchondral bone with the direct beneficial effects on articular cartilage by binding with calcitonin receptor on osteoclast and inhibiting bone resorption.27 There was no difference between young and mid-aged groups in arm BMD or leg BMD, but compared with the young group, BMD was significantly decreased in the elderly group. Our data showed that no significant linear relationship was detected along with BMD among the age groups, but form an inverted U-shape throughout the age range. Pearson correlation analysis indicated that total BMD and thoracic spine BMD have significant positive correlation with testosterone (Table 2), lumbar BMD and pelvis BMD have significant positive correlation with estradiol. However, thoracic spine BMD and total BMD have significant negative correlation with SHBG at p<0.05 level whereas, SHBG has positive correlation with lumbar BMD. The effect of sex hormone on bone mineral density is relatively slow, while it has inconsistent effect on the BMD in different parts (Table 3). One of the reasons may be that increased high physical and social activity along with the increased BMD.28 The pelvis BMD will be increased, because the pelvis is a major structure which in conjunction with upper and lower body and withstands the weight of a human body.29,30 On the contrary, little effect of traction or external rotation on thoracic spine and the main effect of sex steroid hormones was not statistically significant with total BMD. Meanwhile, the experimental results are not consistent with theoretical results based on the different baseline of BMD, and the ratio of bone loss will not be exactly identical. Our results demonstrated that high level of sex steroid hormone levels increased BMD, whereas FBG had no significant effect on BMD. SHBG levels were significantly associated with BMD in the multivariate model, however, it will be a different effect between the genders.

Limitations

First, our study was a cross-sectional study to explore the relationship between sex hormones, blood glucose and BMD by dual energy X-ray. We indirectly speculated that factors may affect osteoporosis, while the role of sex hormones at genetically or protein levels of human should be demonstrated by prospective studies and experiments.

Second, it may have lacked statistical power or some major strengths, such as lifestyle habits, exercise, smoking, cancer, cardiovascular risk score were not adjusted.

Third, the sample size was reduced due to incomplete data collection on BMD of pelvis, lumbar and thoracic spine by dual energy X-ray in the NHANES database.

Finally, the findings are mainly applicable to the US population and cannot be extrapolated to other countries. Further longitudinal studies are needed to replicate the influence of osteoporosis on the association between sex hormones and SHBG.

Abbreviations

BMD, bone mineral density; AGEs, advanced glycation end products; SHBG, sex hormone-binding globulin; NHANES, National Health and Nutrition Examination Survey; NCHS, National Center for Health Statistics; FBG, fasting blood glucose.

Availability of Supporting Data

The authors declare that the materials described in the manuscript, including all relevant raw data, will be freely available to any scientist wishing to use them for noncommercial purposes, without breaching participant confidentiality. The ethics review board of the National Center for Health Statistics approved all NHANES protocols and written informed consents were obtained from all participants. Data was extracted from the 2013–2016 National Health and Nutrition Examination Survey (NHANES, n=6343), which was designed and conducted by the National Center for Health Statistics (NCHS) and freely available on the Internet for researchers throughout the world. The survey protocol was approved by the Institutional Review Board of the Centers for Disease Control and Prevention (protocol #98-12 and protocol #2005–2006). Written informed consent was obtained from all participants.

Ethics Approval and Consent to Participate

The ethics review board of the National Center for Health Statistics approved all NHANES protocols and written informed consents were obtained from all participants.

Acknowledgments

The authors thank the staff and the participants who contributed to the NHANES data, including all of the anonymous participants in the study. We also thank Dr Bo Yu from Key Laboratory of Myocardial Ischemia, Ministry of Education, Harbin Medical University (Harbin, China) who was more than generous with his expertise and precious time. His vigorous academic observation enlightens us not only in this thesis, but also in our future study.

Author Contributions

All authors made a significant contribution to the work reported, whether that is in the conception, study design, acquisition of data, analysis and interpretation, or in all these areas; took part in drafting, revising or critically reviewing the article; gave final approval of the version to be published; have agreed on the journal to which the article has been submitted; and agree to be accountable for all aspects of the work.

Funding

The present study was supported by grants from National Natural Science Foundation of China (no. 81901853) to FY. This study was also supported by Fund of Key Laboratory of Myocardial Ischemia, Ministry of Education (KF202010) and Innovation Fund of Harbin Medical University to JW. The funders had no conflict in the study design, data collection and analysis, decision to publish, or preparation of the manuscript.

Disclosure

The authors report no conflicts of interests in this work.

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