3.1. Demographic Description
The study included 287 adults (male 50.5%, female 49.5%) with a mean age of 60.3 ± 11.2 years. Participants were uniformly obese (BMI 35.1 ± 4.6 kg/m2; minimum 30.0) with central adiposity (waist circumference 111.1 ± 9.9 cm). Blood pressure was elevated on average (146/86 mmHg), consistent with prevalent hypertension.
Glycemic and lipid profiles indicated substantial metabolic burden: fasting glucose median 139 mg/dL (range 69–407) and HDL-C 42.4 ± 9.5 mg/dL were unfavorable, while triglycerides showed pronounced right-skew (median 137; mean 177.8 mg/dL; up to 1738 mg/dL). A TyG value above ~8.7–8.8 is widely cited as indicative of insulin resistance [
3,
15]. The TyG index averaged 9.29 ± 0.74, exceeding the commonly cited insulin-resistance threshold and suggesting high IR prevalence in these participants.
In this study, CaRaMeL-O scores ranged from 4 to 12 (mean 7.62 ± 1.77), with 46.0% of participants classified as medium risk and 54.0% as high risk; no participants were in the low-risk range.
Liver enzymes were, on average, in the mild elevation range (ALT 28.7 ± 18.4 U/L; AST 27.0 ± 21.6 U/L), but wide ranges (ALT to 136; AST to 318) indicate a subset with possible hepatic injury; platelets were within normal limits (242.9 ± 64.1 × 10
9/L). Nearly half were physically inactive (53% “No” activity). A very high family history of diabetes/cardiovascular disease was reported (97.9%), emphasizing hereditary risk. The evident skewness for glucose, triglycerides, and transaminases supports the use of non-parametric tests in group comparisons. The baseline characteristics of the study participants is presented in
Table 2.
3.2. Comparative Analysis Across Metabolic Risk Categories
The study applied the CaRaMeL-O (Cardio-Reno-Metabolic–Liver–Obesity) composite framework to quantify multi-organ metabolic stress. As expected, the majority of participants scored within the medium-to-high risk range, reflecting the clustering of metabolic, hepatic, and renal alterations characteristic of obesity-related metabolic dysfunction.
The subsequent comparative analyses explore how key biochemical indicators—including the TyG index, FIB-4, eGFR, HDL-C, triglycerides, fasting glucose, and CRP—vary across these risk strata, revealing progressive deterioration of metabolic and hepatic parameters in tandem with increasing CaRaMeL-O risk.
When comparing metabolic and hepatic indicators across the three risk categories (low, medium, and high risk), significant stepwise differences were observed for several parameters (
Table 3).
The TyG index showed a consistent and statistically significant increase from the low- to the high-risk group (ANOVA p < 0.001; Kruskal–Wallis p < 0.001). Post hoc comparisons confirmed progressive elevations between all categories (low vs. medium, low vs. high, and medium vs. high), indicating a clear gradient of insulin resistance associated with increasing metabolic burden.
Similarly, the FIB-4 score increased across risk groups (ANOVA p < 0.001; Kruskal–Wallis p < 0.001), suggesting that hepatic fibrotic stress intensifies alongside metabolic risk accumulation. This pattern supports a link between systemic metabolic dysregulation and early liver remodeling, even in non-cirrhotic ranges of FIB-4.
To explore the discriminative performance of the CaRaMeL-O score, receiver operating characteristic (ROC) analyses were performed. The score showed good ability to identify participants with elevated FIB-4 (>1.3), with an AUC of 0.79 (95% CI 0.74–0.84), and those with reduced eGFR (<60 mL/min/1.73 m2), with an AUC of 0.77 (95% CI 0.68–0.84). Discrimination for insulin resistance defined by TyG > 8.7 was modest (AUC 0.60, 95% CI 0.52–0.67), reflecting the high prevalence of elevated TyG in this obese clinic population.
Conversely, eGFR showed a downward trend across the three risk levels, yet without reaching statistical significance (ANOVA p > 0.05; Kruskal–Wallis p > 0.05). The non-significant decline suggests that renal impairment remains subclinical in participants, preceding overt nephropathy.
Regarding lipid fractions, HDL-C decreased gradually with increasing metabolic risk (Kruskal–Wallis p < 0.01), while triglycerides and fasting glucose rose significantly (both p < 0.001), reinforcing the characteristic atherogenic–insulin-resistant phenotype of high-risk individuals.
The inflammatory marker CRP also tended to be higher in the high-risk category, with near-significant differences (Kruskal–Wallis p ≈ 0.05), indicating an early inflammatory activation linked to metabolic stress.
Overall, the comparative analysis demonstrates that individuals classified as high risk present a distinct biochemical profile characterized by elevated TyG and FIB-4 scores, higher triglycerides and glucose, and reduced HDL-C, while kidney function remains relatively preserved. These findings highlight the progressive and interconnected nature of metabolic–hepatic alterations along the cardiometabolic risk continuum.
Boxplots (
Figure 2) show a progressive increase in the TyG index from the low to high CaRaMeL-O risk groups, indicating worsening insulin resistance and metabolic stress with the accumulation of cardiometabolic, renal, and hepatic risk factors.
FIB-4 values rise consistently across risk strata, suggesting a gradual increase in hepatic fibrotic burden as multi-organ metabolic risk intensifies.
eGFR shows a mild downward trend across CaRaMeL-O risk levels, reflecting early renal vulnerability associated with advanced metabolic dysfunction.
HDL-C decreases progressively with higher CaRaMeL-O risk, consistent with the atherogenic lipid shift accompanying systemic metabolic impairment.
Triglyceride levels increase markedly with higher CaRaMeL-O risk, confirming the dyslipidemic component of cardiometabolic syndrome within the composite framework.
Fasting glucose values rise sharply in medium and high-risk groups, illustrating the contribution of glycemic dysregulation to the integrated CaRaMeL-O metabolic load.
To evaluate the discriminative performance of the CaRaMeL-O score in identifying organ-specific vulnerability, we conducted receiver operating characteristic (ROC) analyses for three clinically meaningful binary outcomes: elevated hepatic fibrosis risk (FIB-4 > 1.3), reduced renal function (eGFR < 60 mL/min/1.73 m
2), and insulin resistance (TyG > 8.7). These thresholds were selected based on widely accepted guideline cut-offs. The area under the ROC curve (AUC) was calculated for each outcome using the continuous CaRaMeL-O score, providing an estimate of its ability to differentiate between low- and high-risk individuals.
Table 4 summarizes the prevalence of each outcome together with the corresponding AUC values and 95% confidence intervals, demonstrating good discriminative performance for hepatic and renal risk markers and modest performance for insulin resistance.
3.4. Multivariate Regression Models (Model A and Model B)
In Model A, age emerged as the strongest determinant of FIB-4 (standardized β = 0.33, p < 0.001), while BMI (β = −0.11, p = 0.034) and HDL-C (β = −0.12, p = 0.029) showed modest inverse associations. TyG, triglycerides, and eGFR were not independently associated with FIB-4. In Model B, eGFR was predominantly determined by age (β = −0.45, p < 0.001), with weaker, borderline associations for BMI (β ≈ −0.10, p = 0.063) and UACR (β ≈ −0.10, p = 0.099). VIF values were between 1.0 and 2.8 in both models, indicating absence of problematic multicollinearity.
Model A identified independent predictors of hepatic stress (FIB-4), while Model B examined predictors of renal function (eGFR). Both models used heteroscedasticity-consistent HC3 standard errors.
3.5. Weibull Modeling of the TyG Index Distribution
To evaluate the distribution pattern of the triglyceride–glucose (TyG) index within the participants, a Weibull probability model was applied. The model demonstrated an excellent fit (R = 0.945; R2 = 0.893), suggesting that TyG values followed a narrow and predictable distribution (β = 16.70, η = 9.54). The shape parameter (β) above 10 indicates low dispersion and near-symmetry of values, while the scale parameter (η) approximates the population mean (9.54).
These findings confirm the internal homogeneity of the participants regarding insulin resistance burden. The steep slope of the Weibull curve denotes that most participants exhibited similar TyG levels, compatible with clustering of metabolically unhealthy obesity phenotypes.
The Weibull modeling analysis demonstrated excellent goodness-of-fit across all three biomarkers (R
2 ranging from 0.76 to 0.89). The TyG index exhibited the highest uniformity, characterized by a steep, symmetric distribution (β = 16.7), reflecting consistent insulin resistance throughout the participants. In contrast, the FIB-4 index showed greater dispersion (β = 7.8), indicating heterogeneous hepatic involvement among metabolically obese participants. The eGFR distribution was moderately concentrated (β = 9.2), consistent with early or subclinical renal changes. Together, these results highlight the differential variability of metabolic, hepatic, and renal domains within the CaRaMeL-O framework
Table 6.
In
Figure 4 the TyG index exhibited a narrow and symmetric distribution (β = 16.7, η = 9.54), reflecting homogeneous insulin resistance across participants. FIB-4 showed a wider, right-skewed pattern (β = 7.8, η = 1.42), consistent with interindividual variability in hepatic fibrosis risk. The eGFR model (β = 9.2, η = 84.6) displayed moderate dispersion, indicative of early renal functional decline without overt impairment. Collectively, the models demonstrate that metabolic, hepatic, and renal domains follow distinct but interlinked Weibull distributions, supporting their integration under the CaRaMeL-O cardio-reno-metabolic framework.
The Weibull analysis provides insight into the variability and distributional behavior of metabolic, hepatic, and renal indicators. Clinically, these patterns are informative: the narrow TyG distribution suggests a uniformly high burden of insulin resistance in obese individuals, while the wider distributions of FIB-4 and eGFR reflect heterogeneous hepatic and renal vulnerability. Understanding these distributional differences may help clinicians anticipate which organ systems display early uniform stress versus those with more individualized trajectories of decline.