- 1Department of Orthopaedics, Tiantai County Chinese Medical Hospital, Taizhou, Zhejiang, China
- 2Department of Orthopaedics, The Second People’s Hospital of Yuhang District, Hangzhou, Zhejiang, China
Objective: This study aimed to investigate the association between the high-sensitivity C-reactive protein/high-density lipoprotein cholesterol (Hs-CRP/HDL-C) ratio and sarcopenia among U.S. population by using composite marker integrating systemic inflammation and lipid metabolism.
Method: This study included participants from the 2015–2018 of the National Health and Nutrition Examination Survey (NHANES). Sarcopenia was diagnosed based on the skeletal muscle index (SMI) by using dual-energy X-ray absorptiometry (DXA) technology. The Hs-CRP/HDL-C ratio was derived from laboratory examinations, was categorized into quartiles. Multivariate logistic regression models, adjusted for demographic and clinical covariates, were employed to assess the association between the Hs-CRP/HDL-C ratio and sarcopenia. Subgroup analysis and restricted cubic splines (RCS) were used to examine potential nonlinear relationships and threshold effects. Receiver operating characteristic (ROC) curve was used to evaluate the performance of the Hs-CRP/HDL-C ratio, Hs-CRP, and HDL-C indicators in predicting sarcopenia.
Results: This study finally recorded 4,152 participants from NHANES from 2015–2018 for analysis. Elevated Hs-CRP/HDL-C ratios were significantly associated with an increased risk of sarcopenia, with a dose-response relationship observed across quartiles (p for trend <0.05). The fully adjusted model revealed that each unit increase in the Hs-CRP/HDL-C ratio corresponded to a 6% higher risk of sarcopenia (OR=1.06, 95% CI: 1.04–1.08, p=0.004). Participants in the highest quartile (≥2.75) of the Hs-CRP/HDL-C ratio had a 122% higher risk of sarcopenia compared to those in the lowest quartile (p=0.005). Subgroup analyses showed a stronger association in adults aged ≥40 years, with notable differences across races, especially among non-Hispanic Whites and other race. RCS model identified a non-linear association, with a threshold effect at a ratio of 0.86. The combined inflammatory and lipid markers Hs CRP/HDL-C showed stronger predictive performance (AUC: 0.685, 95% CI 0.666-0.703).
Conclusion: The Hs-CRP/HDL-C ratio can serve as a practical indicator to identify individuals at higher risk of sarcopenia, capturing the combined effects of chronic inflammation and lipid metabolism issues. This ratio may be useful for early detection and prevention efforts targeting sarcopenia. However, more prospective research is needed to confirm these findings.
Introduction
Sarcopenia was initially conceptualized by Rosenberg et al. in 1989 as an age-related decline in skeletal muscle mass (1), and now is recognized as a multifaceted syndrome characterized by the progressive loss of muscle mass and strength associated with aging (2). This condition results in diminished physical power, impaired metabolic efficiency, and reduced aerobic capacity, profoundly compromising functional ability (3). Against the backdrop of global demographic aging, sarcopenia has emerged as a significant public health challenge, affecting 5%-10% of the worldwide population and contributing substantially to escalating healthcare expenditures (4).
Chronic inflammation and lipid metabolism disorders are key mechanisms in the development of sarcopenia (5, 6). Persistent inflammation activates molecular pathways that disrupt protein synthesis and degradation balance, accelerating muscle loss (7, 36). These effects are attributed to the catabolic impact of inflammatory markers and impaired muscle regeneration (37). Elevated circulating cytokines are also associated with higher sarcopenia prevalence, underscoring the role of systemic inflammation (38). High-sensitivity C-reactive protein (Hs-CRP) and CRP are widely used markers of systemic inflammation (8). Meta-analyses have shown that elevated CRP and Hs-CRP levels are significantly associated with reduced muscle strength and mass, supporting a link between systemic inflammation and sarcopenia (11, 30). A population-based cross-sectional study from Korea demonstrated that higher serum Hs-CRP levels were independently and inversely associated with handgrip strength in men, particularly in older males (38).
Dyslipidemia contributes to ectopic lipid deposition within and surrounding muscle fibers, thereby compromising both muscle quality and mass (9). These detrimental effects may be driven by mitochondrial dysfunction, oxidative stress, and elevated inflammatory activity (9). As a key indicator of lipid metabolism, high-density lipoprotein cholesterol (HDL-C) plays an important role in metabolic homeostasis. Recent studies have reported that lipid ratios such as non-HDL/HDL-C and LDL/HDL-C are positively associated with sarcopenia, with inflammatory biomarkers acting as partial mediators of these associations (10). Furthermore, meta-analyses have identified a significant link between elevated HDL-C levels and increased sarcopenia risk, notably among older adults and individuals with diabetes (12–14).
More recently, the Hs-CRP/HDL-C ratio has emerged as a novel biomarker that integrates two critical pathological processes-inflammation and lipid dysregulation. This ratio has shown superior predictive value compared to either marker alone in various chronic conditions, including cardiovascular disease, metabolic dysfunction-associated fatty liver disease (MAFLD), liver fibrosis, and all-cause mortality (13–15). The rationale for using this ratio lies in its ability to reflect a composite inflammatory-metabolic state, which is particularly relevant in aging-related disorders such as sarcopenia. However, its role in predicting sarcopenia remains blank.
Therefore, this study aimed to investigate the association between the Hs-CRP/HDL-C ratio and sarcopenia in a nationally representative sample of U.S. adults. Specifically, we sought to (1) assess whether this ratio is independently associated with sarcopenia prevalence, and (2) compare its predictive performance with Hs-CRP and HDL-C individually. This research may help determine whether Hs-CRP/HDL-C serves as a novel integrative biomarker for identifying individuals at elevated risk, thereby supporting early detection and targeted intervention strategies.
Methods
Study design
This study was a cross-sectional design and was reported in accordance with the Strengthening the Reporting of Observational Studies in Epidemiology (STROBE) guidelines.
The NHANES is administered by the National Center for Health Statistics (NCHS) and is a continuous study designed to evaluate the health and nutritional status of the U.S. population. This survey systematically collects a wide range of data, including demographic information, physical measurements, laboratory test results, and dietary intake records. To ensure representativeness, NHANES employs a complex, stratified, multistage probability cluster sampling method. Detailed protocols, data collection procedures, and access to the data are documented on the official website (https://www.cdc.gov/nchs/nhanes). Additional analytical guidelines are available in the NHANES process manual (https://wwwn.cdc.gov/nchs/nhanes/analyticguidelines.aspx). All participants provided written informed consent before their involvement in the study.
Inclusion and exclusion criteria
Participants were included if they were (1) aged 20 years or older; (2) with complete data on Hs-CRP, HDL-C, dual-energy X-ray absorptiometry (DXA)-based appendicular skeletal muscle mass (ASM), height and weight. Exclusion criteria were (1) aged under 20 years old; (2) missing values for Hs-CRP, HDL-C, ASM, height or weight; (3) participants with Hs-CRP ≥10 mg/L, or those who reported a diagnosis of cancer, chronic respiratory conditions, or coronary heart disease in the medical questionnaire section.
Population selection
This study initially included 19,225 participants from two cycles of NHANES survey from 2015 to 2018. After excluding individuals under 20 years old (N=7,937), missing HDL-C data (N=1,194), incomplete Hs-CRP records (N=58), absent limb measurement data (N=5,250), and missing BMI (Body mass index) data (N=15), a total of 4,771 participants aged 20–59 years remained.
Further exclusions were made for participants with Hs-CRP ≥10 mg/L (N=378), coronary heart disease (N=40), lung disease (N=59), and malignant tumors (N=142) to minimize confounding factors that could influence systemic inflammation.
The final analytic cohort included 4,152 participants, among whom 364 were classified as having sarcopenia, accounting for 8.77% of the study population. The comprehensive participant selection process is depicted in Figure 1.
Data extraction
We included data from the database based on research needs. Demographic information includes race, gender, and age. Anthropometric measurements consist of height, weight, and BMI. Laboratory test results cover triglycerides, total cholesterol, low-density lipoprotein (LDL-C), HDL-C, and Hs-CRP. Additionally, self-questionnaire responses provide details on diabetes status, hypertension status, marital status, and poverty income ratio (PIR). All data were systematically gathered by professionally trained health technicians at the Mobile Examination Center using standardized procedures.
Definition of sarcopenia
ASM is a key indicator of overall muscle health and typically measured by evaluating muscle mass in the limbs. For the NHANES study, ASM was quantified using DXA technology, based from Hologic system based in Bedford, Massachusetts. BMI was derived by dividing body weight in kilograms by the square of height in meters. The skeletal muscle index (SMI), a standardized metric, was calculated as the ratio of total ASM to BMI. Sarcopenia, a condition characterized by muscle loss, was identified using validated diagnostic thresholds: an SMI < 0.789 for males and < 0.512 for females (18).
Calculation of Hs-CRP/HDL-C
Hs-CRP was measured using the Beckman Coulter UniCel DxC 600 Synchron and DxC 660i Synchron Access chemistry analyzers. HDL-C was determined through blood biochemistry tests in the laboratory. The ratio of Hs-CRP and HDL-C as the core indicator of this study is used to further analyze.
Covariables
The selection of covariates was based on prior research (15–17). Data on covariates, including age, gender, race/ethnicity, PIR, triglycerides, LDL-C, hypertension status, diabetes status, and marital status, were collected for analysis. Gender, race, hypertension, diabetes, and marital status were treated as categorical variables. Marital status was grouped into two categories: married/living with a partner and others. BMI was categorized into four groups: under 18.5, 18.5-24.9, 25-29.9, and over 30. PIR was categorized into three groups: under 1.5, 1.5-3, and over 3. Race/ethnicity was classified as Non-Hispanic White, Non-Hispanic Black, Mexican American, Other Hispanic, or Other Race/Ethnicity, based on self-reported questionnaire responses. Hypertension status was dichotomized as “Yes” or “No,” while diabetes status was categorized as “Yes”, “No”, or “Borderline.” All other covariates are treated as continuous variables.
Statistical analysis
Descriptive statistics were employed to summarize the characteristics of the study population. Continuous variables are presented as mean ± standard deviation (SD), while frequencies or percentages are used for categorical variables. Missing data were handled using multiple imputation methods. The Hs-CRP/HDL-C ratio was categorized into quartiles. The Shapiro-Wilk test was conducted to assess the normality of the distribution of continuous variables. Nonnormally distributed variables are presented as medians (interquartile ranges, IQRs), whereas categorical variables are presented as proportions. The Mann-Whitney U test or X2 test was applied for group comparisons.
We used weighted logistic regression models that accounted for the complex survey design of NHANES to examine the association between the Hs-CRP/HDL-C ratio and sarcopenia. In Model 1, no covariates were adjusted. Model 2 controlled for age, gender, and race, while Model 3 further adjusted for BMI, triglyceride levels, LDL-C, diabetes status, hypertension status, and the poverty-to-income ratio (PIR). Subgroup analyses were performed using a hierarchical multivariable logistic regression model with stratification based on gender, race and ethnicity (Mexican American, other Hispanic, non-Hispanic White, non-Hispanic Black, and other races), marital status (married/living with partner vs. other), PIR categories (<1.5, 1.5-3.5, and >3.5), and the presence of hypertension (yes/no) and diabetes (yes/no/borderline).
To evaluate potential nonlinear associations between the Hs-CRP/HDL-C ratio and sarcopenia, restricted cubic spline (RCS) regression was applied, using four knots to flexibly model the relationship through smooth, piecewise cubic functions (39).When nonlinearity was observed, a two-piecewise linear regression model was applied to identify potential threshold effects. The optimal inflection point (K) was determined using a recursive algorithm that tested all possible values within the specified range and selected the one that maximized the model log-likelihood (40, 41). The algorithm starts with random initialization and then uses smoothing steps to identify inflection points. The predictive ability of Hs-CRP, HDL-C, and the Hs-CRP/HDL-C ratio was assessed by plotting receiver operating characteristic (ROC) curves and determining area under the curve (AUC) values.
All statistical analyses were performed using R version 4.1 and Empower software (www.Empowerstats.com; X&Y Solutions, Inc., Boston, Massachusetts). A p-value <0.05 was considered statistically significant.
Results
Baseline characteristics of study participants
This study analyzed a cohort of 4,152 participants derived from the NHANES 2015–2018 cycles. Table 1 presents the baseline characteristics of the study participants, stratified by quartiles of the Hs-CRP/HDL-C ratio. The mean age of the participants was 38.94 ± 11.42 years, with males taking 50.36% of the cohort. 35.31% of participants had a BMI > 30, 29.17% identified as Non-Hispanic White. A significant proportion (61.54%) reported being married or living with a partner, and 34.01% exhibited a PIR < 1.5.

Table 1. Baseline of the participants included from NHANES 2015-2018, Hs-CRP/HDL-C is represented in quartiles.
Comparative analysis revealed that participants in the higher quartiles of the hs-CRP/HDL-C ratio were more likely to exhibit a higher BMI, lower PIR (<1.5), and an increased risk of hypertension and diabetes, relative to those in the lower quartiles. Their Hs-CRP levels were significantly elevated.
The association between Hs-CRP/HDL-C and sarcopenia
Table 2 presents the relationship between the Hs-CRP/HDL-C ratio and sarcopenia. The results showed that higher Hs-CRP/HDL-C levels were significantly associated with increased odds of sarcopenia. This positive association remained consistent after adjusting for all relevant covariates in the fully adjusted model (OR=1.06; 95% confidence interval [CI]: 1.04-1.08; p=0.004). Each unit increase in the Hs-CRP/HDL-C ratio was associated with a 6% higher odds of sarcopenia.
Participants in the highest quartile exhibited a 122% greater risk (OR: 2.22, 95% CI 1.28-3.85) of sarcopenia compared to those in the lowest quartile, with statistical significance (p=0.005). Across all models, the odds of sarcopenia increased progressively with higher Hs-CRP/HDL-C quartiles. The p for trend was statistically significant (p<0.05) in all models, indicating a dose-response relationship between the Hs-CRP/HDL-C ratio and the likelihood of sarcopenia.
Subgroup analysis
Subgroup analysis in quartiles are shown in Figure 2. Compared to males, females showed a protective effect only in the highest quartile (OR 0.68,95% CI 0.50-0.94, p=0.017), while no significant differences were observed in the other three quartiles.
In the age-based subgroup, adults aged ≥40 years exhibited significantly elevated odds of sarcopenia across all higher quartiles compared to less than 40 year old (Q1: OR=5.27; Q2: OR=2.42; Q3: OR=1.62 and Q4: OR=1.75).
In the diabetes subgroup analysis, non-diabetic individuals exhibited a decreasing risk of sarcopenia across all quartiles, with ORs of 0.09 (Q1), 0.26 (Q2), 0.29 (Q3), and 0.63 (Q4), indicating a consistent protective effect. No significant associations were observed in the hypertension subgroup (with or without), with all p-values > 0.05.
RCS model and threshold effect
The RCS model was shown in Figure 3. The RCS model revealed a non-linear correlation between the Hs-CRP/HDL-C ratio and sarcopenia (p for non-linearity <0.001, Figure 3A), with no covariables adjusted. After adjusting for covariates, non-linear correlation still exists (Figure 3B).

Figure 3. (A)The risk between Hs-CRP/HDL-C and sarcopenia under RCS model, with no covariables adjusted; (B) The risk between Hs-CRP/HDL-C and sarcopenia under RCS model, with adjustment of age, BMI, race, LDL-C, triglycerides, martial status, PIR, hypertension status and diabetes status.
Threshold effects are summarized in Table 3. The estimated turning point (K) of 0.86 was identified using a threshold effect model. On the left side of the threshold, the Hs-CRP/HDL-C ratio was significantly associated with increased odds of sarcopenia (OR=4.34, 95% CI: 1.98-9.52, p<0.001). However, on the right side of the threshold, no statistically significant association was observed (OR=0.99, 95% CI: 0.93-1.05, p=0.656). The log-likelihood ratio test supported the presence of a threshold effect (p<0.001).

Table 3. The threshold effect analysis of the Hs-CRP/HDL-C on sarcopenia risk among adults in NHANES 2013–2018.
ROC curves
Table 4; Figure 4 provided the AUC levels and 95% confidence intervals (95% CI) for three indicators for sarcopenia in US adults. Compared to individual indicators, the combined inflammatory and lipid markers Hs-CRP/HDL-C showed stronger predictive performance (AUC: 0.685, 95% CI 0.666-0.703).
Discussion
This study is the first to explore the association between the Hs-CRP/HDL-C ratio and sarcopenia using data from the NHANES survey. Among the 4,152 adults included in the analysis, 364 were identified with sarcopenia, corresponding to a prevalence of 8.77%. When stratified by Hs-CRP/HDL-C quartiles, the proportion of sarcopenia increased progressively from 2.11% in Q1 to 14.93% in Q4. This graded pattern supports a potential dose-dependent relationship, indicating that a higher inflammatory-to-lipid ratio may be linked to a greater likelihood of sarcopenia.
In addition, the association between the Hs-CRP/HDL-C ratio and sarcopenia followed a nonlinear trend. The ratio demonstrated better predictive value than either marker alone, as reflected by a higher AUC in ROC analysis (AUC=0.685). These findings suggest that the Hs-CRP/HDL-C ratio may offer clinical utility as an integrated marker for the early identification of individuals at elevated risk for sarcopenia.
Sarcopenia is a complex metabolic disorder characterized by impaired protein turnover, frequently associated with aging and chronic low-grade inflammation (19, 20). Elevated levels of pro-inflammatory cytokines such as TNF-α and IL-6 have been linked to reduced skeletal muscle mass and increased fat infiltration in older adults (21–23, 26). Aging also promotes an imbalance between M1 and M2 macrophages in muscle tissue, which may amplify catabolic processes (24, 25). These mechanisms may explain why the association between Hs-CRP/HDL-C and sarcopenia was particularly evident in individuals aged 40 and above. In parallel, obesity-induced lipid overload activates endoplasmic reticulum stress and pro-inflammatory signaling in adipose tissue, particularly in areas surrounding skeletal muscle. This promotes local inflammation, immune cell infiltration, and tissue remodeling, ultimately contributing to sarcopenia (33–35).
CRP is a well-established marker of systemic inflammation, and Hs-CRP offers greater sensitivity in detecting subtle clinical changes (27, 28). Previous meta-analyses have shown that elevated levels of both CRP and Hs-CRP are associated with reduced muscle strength (30). Although HDL-C generally has anti-inflammatory properties, it may become dysfunctional and even pro-inflammatory under pathological conditions such as diabetes (31, 32). These markers are involved in key biological pathways, including oxidative stress, lipid imbalance, and immune activation (15–17), particularly in individuals with diabetes. Diabetes contributes to chronic low-grade inflammation, which accelerates muscle degradation, an effect also observed in our study (29). In subgroup analyses, participants without diabetes exhibited a more pronounced protective association between the Hs-CRP/HDL-C ratio and sarcopenia, with odds ratios ranging from 0.09 to 0.63 across all quartiles. This association was not seen in those with diabetes or borderline diabetes. These findings suggest that an individual’s metabolic state plays a crucial role in modulating the relationship between systemic inflammation and muscle health.
The association between Hs-CRP/HDL-C and sarcopenia exhibited a nonlinear pattern. At low levels of Hs-CRP/HDL-C, the body may compensate for mild inflammation without significant impact on muscle protein turnover. In early stages (lower quartiles), HDL-C may still exert protective anti-inflammatory and antioxidant effects. As inflammation worsens (higher Hs-CRP) and HDL-C becomes dysfunctional or pro-inflammatory, this protective capacity diminishes, accelerating sarcopenic progression. Also, the ratio captures two interrelated pathophysiological pathways-inflammation and lipid metabolism—which may not act additively but synergistically. When both are abnormal, they may potentiate each other’s adverse effects on skeletal muscle, resulting in a nonlinear escalation of risk.
The Hs-CRP/HDL-C ratio offers a valuable tool for disease risk assessment and early intervention by integrating markers of both lipid metabolism and systemic inflammation. In our analysis, this composite indicator outperformed its individual components in predicting sarcopenia. ROC analysis showed an AUC of 0.685 (95% CI: 0.666-0.703), higher than that of Hs-CRP alone (AUC: 0.635) and HDL-C alone (AUC: 0.620), indicating improved sensitivity and specificity. This superior performance likely reflects the ratio’s ability to capture two interrelated pathogenic processes central to sarcopenia. Notably, similar predictive utility of the Hs-CRP/HDL-C ratio has been reported in cardiovascular disease, liver fibrosis, and metabolic dysfunction-associated fatty liver disease (MAFLD) (15–17), underscoring its broader clinical applicability.
This study highlights several strengths, including the utilization of NHANES data, which bolsters the objectivity of the findings. We also meticulously adjusted for potential confounders, enhancing the reliability and broader applicability of the results. However, some limitations should be acknowledged. The cross-sectional nature of the study hinders the ability to establish a causal link between Hs-CRP/HDL-C and sarcopenia, necessitating future prospective research with expanded sample sizes. Though multiple covariates were controlled, residual confounding from unmeasured factors cannot be entirely excluded. In addition, due to NHANES protocol limitations, individuals aged ≥60 years were not included, as DXA-based muscle mass data were only available for participants aged 20–59 years. Lastly, regional variations in sarcopenia diagnostic criteria exist. As the data originated from a U.S. based database, we aligned with the NIHS guidelines, which may affect the observed association between Hs-CRP/HDL-C and sarcopenia.
Conclusions
Our findings indicate that the Hs-CRP/HDL-C ratio is a practical and timely biomarker for identifying individuals at risk of sarcopenia. It offers a simple and accessible approach that could potentially be used as a self-screening tool. However, the scope of this study is limited to a U.S. based population, emphasizing the need for broader validation across larger sample sizes and diverse international cohorts. Expanding the research in this way would improve the generalizability of our findings and provide more robust insights applicable to different demographic contexts.
Data availability statement
The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found below: This study examined datasets that were accessible to the public. The location of this data can be accessed here: http://www.cdc.gov/nhanes.
Ethics statement
The studies involving humans were approved by The National Health and Nutrition Examination Survey (NHANES) is a publicly available database, implemented with the approval of the National Center for Health Statistics review board. All participants provided written informed consent when participating in the survey. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study.
Author contributions
X-YG: Data curation, Formal analysis, Methodology, Software, Writing – original draft. L-WL: Conceptualization, Investigation, Methodology, Software, Validation, Writing – original draft, Writing – review & editing.
Funding
The author(s) declare that no financial support was received for the research and/or publication of this article.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Generative AI statement
The author(s) declare that no Generative AI was used in the creation of this manuscript.
Publisher’s note
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.
Abbreviations
Hs-CRP, high-sensitivity C-reactive protein; HDL-C, high-density lipoprotein cholesterol; LDL-C, low-density lipoprotein cholesterol; SMI, skeletal muscle index; NHANES, National Health and Nutrition Examination Survey; DXA, dual-energy X-ray absorptiometry; RCS, restricted cubic splines; ROC, receiver operating characteristic; AUC, area under the curve; BMI, body mass index; OR, odds ratio; CI, Confidence interval; MAFLD, metabolic dysfunction-associated fatty liver disease; NCHS, National Center for Health Statistics; ASM, Appendicular skeletal muscle mass; TC, total cholesterol; PIR, poverty-income ratio; SD, standard deviation; M1, pro-inflammatory; M2, anti-inflammatory.
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Keywords: Hs-CRP/HDL-C ratio, inflammation, lipid metabolism, NHANES, cross-sectional study
Citation: Guo X-Y and Li L-W (2025) Hs-CRP/HDL-C ratio as a predictive inflammatory-lipid marker for sarcopenia: evidence from NHANES 2015–2018. Front. Immunol. 16:1600421. doi: 10.3389/fimmu.2025.1600421
Received: 26 March 2025; Accepted: 03 June 2025;
Published: 19 June 2025.
Edited by:
Giuseppe Castaldo, University of Naples Federico II, ItalyReviewed by:
Jing Chen, Zhejiang University, ChinaAishanjiang Wumaer, People’s Hospital of Xinjiang Uygur Autonomous Region, China
Copyright © 2025 Guo and Li. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Liang-Wen Li, MzI5MDE4MzE3QHFxLmNvbQ==