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. 2026 Feb 23;38(1):91. doi: 10.1007/s40520-025-03297-w

Rising cardiovascular metabolic indices are associated with hypertension and stroke risk in individuals with abnormal glucose metabolism: A prospective cohort study

Yanju Song 1, Xuelun Zou 1, Chang Zhou 2, Gaoyuan Cui 3,#, Yi Zeng 4,✉,#, Jian Xia 1,#
PMCID: PMC12979272  PMID: 41731186

Abstract

Background

The Cardiovascular Metabolic Index (CMI) has emerged as a robust indicator for predicting metabolic diseases. However, the extent to which CMI can forecast the future risk of cardiovascular disease among individuals with impaired glucose metabolism—specifically those with diabetes and prediabetes—remains uncertain. This uncertainty is particularly concerning given the substantial burden of cardiovascular complications that these populations face. To address this critical gap in knowledge and to provide actionable insights for targeted prevention and management strategies, we undertook this study. By doing so, we aimed to elucidate whether CMI can serve as a reliable predictor in this high-risk group of individuals with impaired glucose metabolism, thereby informing more effective and personalized approaches to managing cardiovascular risk.

Method

We included patients with impaired glucose metabolism in our baseline cohort and utilized K-means clustering to categorize changes in CMI into three distinct groups. We then applied a multivariate logistic regression model to assess the association between CMI, cumulative CMI, and changes in CMI with the incidence of hypertension and stroke within this population. This statistical approach enabled us to control for multiple confounding variables, thereby providing a more accurate assessment of the predictive power of CMI-related metrics. Furthermore, to explore potential nonlinear relationships between CMI and cumulative CMI with the occurrence of hypertension and stroke events, we employed restricted cubic spline (RCS) regression models. Finally, we utilized ROC curve analysis to evaluate the predictive ability of CMI and cumulative CMI for future risks of hypertension and stroke in individuals with impaired glucose metabolism.

Results

During the follow-up period from 2015 to 2018, we monitored 4,207 participants with impaired glucose metabolism and observed 746 new cases of hypertension and 144 stroke events. After meticulously adjusting for multiple potential confounding factors, our analysis revealed that the CMI significantly increases the risk of hypertension (OR = 1.27, 95% CI: 1.15–1.40) and stroke (OR = 1.31, 95% CI: 1.05–1.67) in this population. Compared with the first quartile of CMI, both the third and fourth quartiles were associated with heightened risks of hypertension and stroke. While cumulative CMI and its quartiles were linked to hypertension, no significant association was found with stroke. A nonlinear relationship was observed between CMI and hypertension risk (p = 0.017). Participants with moderate CMI levels (OR: 1.44, 95% CI: 1.21–1.71) and high CMI levels (OR: 2.69, 95% CI: 1.66–4.31) had significantly higher risks of hypertension than those with stable CMI levels. ROC curves showed AUC values of 0.73 and 0.67 for CMI in predicting hypertension and stroke, respectively.

Conclusion

Elevated levels of the CMI are associated with an increased risk of hypertension and stroke among individuals with impaired glucose metabolism. Maintaining low CMI levels may help mitigate the risk of hypertension in these populations. Given that CMI can be easily measured in community settings, clinicians can utilize it for risk stratification and develop personalized prevention strategies. These strategies may help reduce the burden of future complications such as hypertension and stroke in patients with impaired glucose metabolism.

Keywords: Cardiometabolic index, Hypertension, Diabetes, Stroke, Prospective cohort study

Introduction

Diabetes poses a significant global health challenge, with approximately 529 million people affected worldwide [1]. Cardiovascular and cerebrovascular complications remain the leading causes of morbidity and mortality in this population—about 68% of older adults with diabetes die from cardiovascular diseases, and 16% are at risk of stroke [2–4]. Early identification of individuals at high risk is crucial for effective prevention.

The Cardiovascular Metabolic Index (CMI), proposed in 2015, is a composite indicator derived from the triglyceride-to-high-density lipoprotein cholesterol ratio (TG/HDL-C) and waist-to-height ratio (WHtR) [5]. As both lipid imbalance and central obesity are key contributors to cardiometabolic disease, CMI provides a convenient and integrative reflection of metabolic health that can be easily assessed in clinical practice.

Previous studies have linked higher CMI to several metabolic and cardiovascular outcomes, including diabetes, hypertension, and cardiovascular disease [6–11]. For example, U.S. population studies have shown that each unit increase in CMI corresponds to a higher risk of hypertension [12], while Chinese data indicate an association between elevated CMI and stroke incidence [13]. However, evidence on the prospective predictive value of CMI for hypertension and stroke in individuals with impaired glucose metabolism remains scarce.

Therefore, this study aims to elucidate the relationship between baseline and cumulative CMI and the future risk of hypertension and stroke in adults with diabetes and prediabetes, using a prospective cohort design. This work seeks to provide new evidence to support early intervention strategies for this high-risk population.

Methods

Study design and population information

This study leveraged data from the China Health and Retirement Longitudinal Study (CHARLS), a national survey spanning 28 provinces in China [14]. Utilizing multistage probability sampling, the study recruited a substantial number of participants from 450 villages and urban communities across 150 counties and regions. The baseline survey commenced in 2011, with follow-ups occurring every 2–3 years.

For our analysis, we utilized the 2015 survey data as the baseline, focusing on participants with impaired glucose metabolism. We calculated the CMI and cumulative CMI using measurements of TG, HDL-C, and WHtR obtained from blood samples collected in 2011 and 2015, as well as subsequent measurements. Following cluster analysis, we examined the relationship between these indicators and the risk of new-onset hypertension and stroke at the 2018 follow-up endpoint.

In this study, we included individuals with impaired glucose metabolism, specifically those diagnosed with diabetes or prediabetes. The diagnostic criteria for diabetes were as follows: a self-reported physician diagnosis of diabetes, combined with a history of diabetes medication use, fasting blood glucose ≥ 7.0 mmol/L, hemoglobin A1c (HbA1c) ≥ 6.5%, or 2-hour blood glucose/random blood glucose ≥ 11.1 mmol/L. Prediabetes was defined as fasting blood glucose between 6.1 and 6.9 mmol/L, 2-hour oral glucose tolerance test blood glucose between 7.8 and 11.0 mmol/L, or HbA1c between 5.7% and 6.4%. We included participants who had complete information on fasting blood glucose, HbA1c, history of diabetes medication use, TG, HDL-C, and WHtR.The exclusion criteria were: (1) presence of hypertension or stroke at baseline; (2) missing information on fasting blood glucose, HbA1c, TG, HDL-C, etc., in either 2011 or 2015; (3) missing or extremely abnormal values for height or waist circumference; (4) age below 45 years; (5) participants with extensive missing information (see Fig. 1).

Fig. 1.

Fig. 1

Flow chart of the population included in this study

The CHARLS cohort study has been approved by the Biomedical Ethics Review Committee of Peking University. All participants provided written informed consent, or their legal guardians provided consent on their behalf. As the data for this study were derived from published sources and the necessary informed consent and ethical approval had already been obtained, there was no need to seek additional informed consent or ethical approval.

Assessment of CMI changes and cumulative CMI

Levels of HDL-C and TG were obtained from blood samples collected during the first and third waves of the survey. For height measurements, any change exceeding 10 centimeters between the first and third waves was considered an abnormal measurement. Similarly, any waist circumference measurement deviating by three standard deviations from the overall average (whether higher or lower) was classified as abnormal.

The following calculations were performed using the collected data:

(1)The WHtR was calculated by dividing the waist circumference by height.

(2) CMI was calculated using the formula (TG/HDL-C) × WHtR.

(3) Cumulative CMI was calculated as (2012 CMI + 2015 CMI)/2 × time (2015 − 2012).

Hypertension and stroke assessment

To assess hypertension, we utilized a standardized question: “Have you been diagnosed with hypertension by a doctor?” Participants who responded “yes” were initially categorized as having hypertension. This initial classification was subsequently confirmed by verifying a history of antihypertensive medication use or blood pressure readings (systolic blood pressure ≥ 140 mmHg or diastolic blood pressure ≥ 90 mmHg).

Similarly, the occurrence of stroke was ascertained using the question: “Have you been diagnosed with a stroke by a doctor?” The definitions of hypertension and stroke were based on self-reported diagnoses. If participants had previously reported hypertension or stroke in earlier survey waves, these conditions needed to be re-diagnosed in subsequent waves. In cases where participants denied their previously self-reported diagnoses of hypertension or stroke, these inconsistencies were retrospectively corrected.Our methods for determining hypertension and stroke align with those employed in previous studies utilizing CHARLS data [15].

Covariate

The covariates included in the analysis encompass sociodemographic characteristics and health status indicators. Sociodemographic characteristics include age, gender, marital status, household registration status, educational attainment, smoking status, drinking status, household income level, and body mass index. Health status indicators include heart disease, dyslipidemia, cancer, use of lipid-lowering drugs, anticancer drugs, antidiabetic drugs, fasting blood glucose, and glycated hemoglobin.

Dyslipidemia is defined as meeting any of the following criteria: total cholesterol (TC) ≥ 240 mg/dl, TG ≥ 150 mg/dl, low-density lipoprotein cholesterol (LDL-C) ≥ 160 mg/dl, HDL-C < 40 mg/dl, self-reported dyslipidemia, or use of lipid-lowering therapy.

Statistical analysis

Continuous variables are presented as mean (standard deviation) or median (interquartile range, IQR), while categorical variables are presented as frequency (proportion). A two-sided p-value of less than 0.05 is considered to indicate statistical significance. All statistical analyses were conducted using R software version 4.4.3 and MATLAB R2024a.

K-means clustering analysis

We utilized K-means clustering analysis, an unsupervised machine learning technique, to categorize the CMI indices [16]. The optimal number of clusters was determined using the elbow method, as illustrated in Fig. 2, resulting in three distinct categories. Based on the CMI measurements from 2012 to 2015, participants were divided into the following three groups:

Fig. 2.

Fig. 2

Cluster Analysis Classification and Results Presentation Diagram of CMI Changes. (A) Elbow Method to Determine the Optimal Clustering Point for K-means Clustering. (B) Optimal Clustering Point Based on Comprehensive Evaluation of Clustering Score Coefficient and Silhouette Coefficient. (C) K-means Clustering Results Presentation Diagram. (D) CMI Clustering Changes from 2012 to 2015

  1. Group 1 (n = 2,281): CMI remained stable at a low level, changing from 2.54 ± 0.46 in 2012 to 2.51 ± 0.48 in 2015, with a cumulative CMI of 7.57 ± 0.98.

  2. Group 2 (n = 1,839): This group exhibited moderate CMI levels with a slight increase over time, from 3.28 ± 0.46 in 2012 to 3.50 ± 0.55 in 2015, and a cumulative CMI of 10.17 ± 1.09.

  3. Group 3 (n = 87): Characterized by a high initial CMI level that decreased over time, from 5.65 ± 3.48 in 2012 to 4.04 ± 0.73 in 2015, with a cumulative CMI of 14.54 ± 4.96.

These classifications offer valuable insights into the varying trajectories of CMI among the study participants (see Fig. 2).

Multivariate logistic regression analysis

We employed multivariate logistic regression analysis to examine the relationship between different CMI clusters and the incidence of new-onset hypertension and stroke. The results are presented as odds ratios along with their 95% confidence intervals. We constructed three models to progressively adjust for potential confounding factors: (1) Model 1: Adjusted for age and sex. (2) Model 2: Adjusted for age, sex, marital status, education level, household registration information, household consumption level, BMI, smoking, and alcohol consumption.(3) Model 3: Further adjusted for heart disease, dyslipidemia, cancer, lipid-lowering drugs, anticancer drugs, antidiabetic drugs, fasting blood glucose, and glycated hemoglobin. These models allowed us to comprehensively assess the impact of different CMI clusters on the risk of hypertension and stroke while accounting for a wide range of potential confounding factors.

Receiver operating characteristic (ROC) curve analysis

We conducted ROC curve analysis to evaluate the predictive ability of CMI for future hypertension and stroke in individuals with abnormal glucose metabolism. We compared the predictive performance of CMI with that of CMI at wave 1 (CMI_w1), CMI at wave 3 (CMI_w3), and cumulative CMI. Additionally, we constructed ROC curves for three logistic regression models to assess their predictive performance.

Restricted cubic spline (RCS) model

To explore the nonlinear relationship between cumulative CMI and the future risk of hypertension and stroke in individuals with impaired glucose metabolism, we developed RCS models. Model selection was guided by the Bayesian Information Criterion. We employed the likelihood ratio test to evaluate the presence of nonlinear relationships within these RCS models. The covariates adjusted for in the RCS models were consistent with those used in Model 3 of the logistic regression analysis.

Subgroup analysis and interactions

To further substantiate the relationship between clustered CMI and cumulative CMI and the incidence of hypertension and stroke among individuals with abnormal glucose metabolism, we undertook subgroup analyses. These analyses were conducted separately for patients with hypertension and those with stroke. The subgroups examined encompassed gender, household registration status, marital status, educational level, smoking status, drinking status, heart disease, dyslipidemia, and cancer.

Sensitivity analysis

The dataset utilized in this study contains some missing values. To address this issue, we employed multiple imputation using the “mice” package in R to fill in the missing covariates. Additionally, to ensure the robustness of our findings, we conducted a sensitivity analysis by repeating the analysis using the complete dataset without multiple imputation.

Results

Baseline information for 4,207 participants

Baseline data were collected during the third wave of the survey in 2015, encompassing a total of 4,207 participants with impaired glucose metabolism for analysis. As illustrated in Table 1, the average age of participants at baseline was 61.7 ± 8.9 years, with 54.5% being female. The majority of participants had an educational level of high school or below (90.0%), were married or had a partner (86.4%), and were rural residents (83.4%). The proportions of non-smokers (56.2%) and non-drinkers (65.3%) exceeded those of smokers and drinkers. Additionally, 98.5% of participants had no history of cancer, and 93.5% had no dyslipidemia. Table 1 also presents the baseline characteristics of participants in each group based on cluster analysis. Furthermore, we detailed the baseline characteristics of participants according to cumulative CMI classification in Table 2.

Table 1.

Baseline characteristics of individuals classified by class of the change in the CMI

Characteristics Level Overall Change in the CMI P-value
Class 1 Class 2 Class 3
Number 4207 2281 1839 87
Age (mean (SD)) 61.7(8.9) 62.2(9.0) 61.0(8.8) 62.8(9.1) < 0.001
Total_household_consumption(mean (SD)) 13054.4(20247.6) 12617.7(21954.8) 13600.0(18050.2) 12972.9(17218.6) 0.302
BMI (mean (SD)) 24.1(17.3) 21.8(4.9) 26.8(25.4) 27.0(4.7) < 0.001
Sex (%) Female 2293(54.5) 1062(46.6) 1171(63.7) 60(69.0) < 0.001
Male 1914(45.5) 1219(53.4) 668(36.3) 27(31.0)
Education (%) Below high school 3788(90.0) 2088(91.5) 1620(88.1) 80(92.0) 0.007
College or above 45(1.1) 20(0.9) 24(1.3) 1(1.1)
High school 374(8.9) 173(7.6) 195(10.6) 6(6.9)
Marital_status (%) Married/Partnered 3636(86.4) 1973(86.5) 1587(86.3) 76(87.4) 0.579
Never married 26(0.6) 18(0.8) 8(0.4) 0(0.0)
widowed/separated/divorced 545(13.0) 290(12.7) 244(13.3) 11(12.6)
Hukou (%) Rural 3508(83.4) 1976(86.6) 1455(79.1) 77(88.5) < 0.001
Urban 699(16.6) 305(13.4) 384(20.9) 10(11.5)
Smoking (%) Ever smokers 1844(43.8) 1139(49.9) 671(36.5) 34(39.1) < 0.001
Never smokers 2363(56.2) 1142(50.1) 1168(63.5) 53(60.9)
Drinks (%) Ever drinkers 1460(34.7) 885(38.8) 550(29.9) 25(28.7) < 0.001
Never drinkers 2747(65.3) 1396(61.2) 1289(70.1) 62(71.3)
Heart_problem(%) No 3665(87.1) 2020(88.6) 1580(85.9) 65(74.7) < 0.001
Yes 542(12.9) 261(11.4) 259(14.1) 22(25.3)
Cancer(%) No 4144(98.5) 2247(98.5) 1812(98.5) 85(97.7) 0.823
Yes 63(1.5) 34(1.5) 27(1.5) 2(2.3)
Dyslipidemia(%) No 3935(93.5) 2186(95.8) 1681(91.4) 68(78.2) < 0.001
Yes 272(6.5) 95(4.2) 158(8.6) 19(21.8)
Meds_diabetesw3 (%) No 3914(93.0) 2203(96.6) 1653(89.9) 58(66.7) < 0.001
Yes 293(7.0) 78(3.4) 186(10.1) 29(33.3)
Meds_heartproblems(%) No 3801(90.3) 2090(91.6) 1635(88.9) 76(87.4) 0.008
Yes 406(9.7) 191(8.4) 204(11.1) 11(12.6)
Meds_stroke(%) No 4123(98.0) 2242(98.3) 1803(98.0) 78(89.7) < 0.001
Yes 84(2.0) 39(1.7) 36(2.0) 9(10.3)
Meds_cancer(%) No 4159(98.9) 2257(98.9) 1817(98.8) 85(97.7) 0.537
Yes 48(1.1) 24(1.1) 22(1.2) 2(2.3)
Meds_HBP(%) No 4034(95.9) 2214(97.1) 1740(94.6) 80(92.0) < 0.001
Yes 173(4.1) 67(2.9) 99(5.4) 7(8.0)
Meds_dyslipidemia(%) No 4089(97.2) 2243(98.3) 1768(96.1) 78(89.7) < 0.001
Yes 118(2.8) 38(1.7) 71(3.9) 9(10.3)
HDL(mean (SD)) 52.0(12.0) 56.0(12.6) 47.5(9.3) 43.4(8.7) < 0.001
LDL(mean (SD)) 105.3(29.0) 103.9(28.0) 107.3(30.2) 98.2(26.5) < 0.001
TC(mean (SD)) 187.5(37.0) 183.0(34.6) 192.5(38.9) 199.8(40.8) < 0.001
TG(mean (SD)) 140.2(89.1) 98.6(46.7) 185.2(97.8) 278.8(131.3) < 0.001
SBP(mean (SD)) 123.0(17.3) 120.9(17.2) 125.2(17.2) 128.5(15.9) < 0.001
DBP(mean (SD)) 72.6(10.8) 71.2(10.4) 74.4(10.9) 73.7(10.9) < 0.001
Glucose(mean (SD)) 107.2(38.7) 99.0(24.7) 115.5(47.2) 145.1(70.2) < 0.001
FBG(mean (SD)) 6.0(2.2) 5.5(1.4) 6.4(2.6) 8.1(3.9) < 0.001
HbA1C(mean (SD)) 6.2(1.0) 6.0(0.7) 6.4(1.2) 7.2(1.7) < 0.001
CMI_w1(mean (SD)) 2.9(0.9) 2.5(0.5) 3.3(0.5) 5.7(3.5) < 0.001
CMI_w3(mean (SD)) 3.0(0.7) 2.5(0.5) 3.5(0.6) 4.0(0.7) < 0.001
C_CMI (mean (SD)) 8.9(2.0) 7.6(1.0) 10.2(1.1) 14.5(5.0) < 0.001

Table 2.

Baseline characteristics of individuals classified by quartiles of the cumulative average CMI

Characteristics Level Overall Quartiles of the cumulative average CMI P-value
Q1 Q2 Q3 Q4
Number 4207 1052 1051 1052 1052
Age(mean (SD)) 61.7 (8.9) 62.7 (9.0) 61.8 (9.0) 61.1 (8.7) 61.2 (8.9) < 0.001
Total_household_consumption (mean(SD)) 13054.4 (20247.6) 12177.5 (15651.6) 13241.8 (27706.6) 13505.9 (17616.6) 13292.6 (17813.8) 0.435
BMI(mean (SD)) 24.1 (17.3) 20.8 (3.1) 22.6 (6.2) 24.1 (2.8) 28.8 (33.3) < 0.001
Sex(%) Female 2293 (54.5) 400 (38.0) 556 (52.9) 643 (61.1) 694 (66.0) < 0.001
Male 1914 (45.5) 652 (62.0) 495 (47.1) 409 (38.9) 358 (34.0)
Education(%) Below high school 3788 (90.0) 965 (91.7) 962 (91.5) 925 (87.9) 936 (89.0) 0.044
College or above 45 (1.1) 8 (0.8) 11 (1.0) 14 (1.3) 12 (1.1)
High school 374 (8.9) 79 (7.5) 78 (7.4) 113 (10.7) 104 (9.9)
Marital_status(%) Married/Partnered 3636 (86.4) 918 (87.3) 907 (86.3) 907 (86.2) 904 (85.9) 0.162
Never married 26 (0.6) 12 (1.1) 5 (0.5) 6 (0.6) 3 (0.3)
Widowed/separated/divorced 545 (13.0) 122 (11.6) 139 (13.2) 139 (13.2) 145 (13.8)
Hukou(%) Rural 3508 (83.4) 934 (88.8) 899 (85.5) 831 (79.0) 844 (80.2) < 0.001
Urban 699 (16.6) 118 (11.2) 152 (14.5) 221 (21.0) 208 (19.8)
Smoking(%) Ever smokers 1844 (43.8) 587 (55.8) 480 (45.7) 409 (38.9) 368 (35.0) < 0.001
Never smokers 2363(56.2) 465(44.2) 571 (54.3) 643 (61.1) 684 (65.0)
Drinks(%) Ever drinkers 1460(34.7) 475(45.2) 351(33.4) 332 (31.6) 302 (28.7) < 0.001
Never drinkers 2747(65.3) 577(54.8) 700 (66.6) 720(68.4) 750 (71.3)
Meds_diabetes(%) No 3914(93.0) 1022 (97.1) 1009 (96.0) 993 (94.4) 890 (84.6) < 0.001
Yes 293(7.0) 30(2.9) 42(4.0) 59(5.6) 162(15.4)
Meds_heartproblems(%) No 3801(90.3) 969(92.1) 959(91.2) 950(90.3) 923(87.7) 0.005
Yes 406(9.7) 83(7.9) 92(8.8) 102(9.7) 129(12.3)
Meds_stroke(%) No 4123(98.0) 1036(98.5) 1030(98.0) 1040(98.9) 1017(96.7) 0.002
Yes 84(2.0) 16(1.5) 21(2.0) 12 (1.1) 35 (3.3)
Meds_cancer(%) No 4159(98.9) 1040(98.9) 1041(99.0) 1040(98.9) 1038(98.7) 0.88
Yes 48(1.1) 12(1.1) 10(1.0) 12(1.1) 14(1.3)
Meds_HBP(%) No 4034(95.9) 1028(97.7) 1015(96.6) 1007(95.7) 984(93.5) < 0.001
Yes 173 (4.1) 24(2.3) 36(3.4) 45(4.3) 68(6.5)
Meds_dyslipidemia(%) No 4089(97.2) 1036(98.5) 1032(98.2) 1029(97.8) 992(94.3) < 0.001
Yes 118(2.8) 16(1.5) 19(1.8) 23(2.2) 60(5.7)
Heart_problem(%) No 3665(87.1) 938(89.2) 922(87.7) 930(88.4) 875(83.2) < 0.001
Yes 542 (12.9) 114(10.8) 129 (12.3) 122(11.6) 177(16.8)
Cancer(%) No 4144(98.5) 1035(98.4) 1036(98.6) 1039(98.8) 1034(98.3) 0.814
Yes 63(1.5) 17(1.6) 15(1.4) 13(1.2) 18(1.7)
Dyslipidemia(%) No 3935(93.5) 1015(96.5) 1003(95.4) 985(93.6) 932(88.6) < 0.001
Yes 272(6.5) 37(3.5) 48(4.6) 67(6.4) 120(11.4)
Stroke(%) No 4113(97.8) 1034(98.3) 1025(97.5) 1037(98.6) 1017(96.7) 0.015
Yes 94(2.2) 18(1.7) 26(2.5) 15(1.4) 35(3.3)
HDL(mean (SD)) 52.0(12.0) 59.2(13.9) 52.9(10.7) 50.0(9.6) 45.8(9.3) < 0.001
LDL(mean (SD)) 105.3(29.0) 98.8(27.0) 107.6(27.9) 109.4(28.8) 105.3(31.1) < 0.001
TC(mean (SD)) 187.5(37.0) 179.4(34.8) 185.3(34.1) 189.8(34.7) 195.5(42.1) < 0.001
TG(mean (SD)) 140.2(89.1) 86.9(44.6) 109.6(47.5) 145.5(70.7) 218.9(111.8) < 0.001
SBP(mean (SD)) 123.0(17.3) 120.2(17.3) 121.2(17.0) 123.7(17.1) 126.7(17.3) < 0.001
DBP(mean (SD)) 72.6(10.8) 70.6(10.3) 71.6(10.5) 73.5(11.1) 74.8(10.6) < 0.001
Glucose(mean (SD)) 107.2(38.7) 96.6(22.9) 101.6(26.5) 105.5(32.5) 125.1(57.0) < 0.001
FBG(mean (SD)) 6.0(2.2) 5.4(1.3) 5.6(1.5) 5.9(1.8) 7.0(3.2) < 0.001
HbA1C(mean (SD)) 6.2(1.0) 6.0(0.6) 6.1(0.8) 6.1(0.8) 6.6(1.4) < 0.001
CMI_w1(mean (SD)) 2.9(0.9) 2.3(0.4) 2.7(0.3) 3.0(0.3) 3.7(1.2) < 0.001
CMI_w3(mean (SD)) 3.0(0.7) 2.2(0.5) 2.7(0.3) 3.1(0.3) 3.8(0.6) < 0.001
C_CMI(mean (SD)) 8.9(2.0) 6.7(0.8) 8.2(0.3) 9.2(0.3) 11.2(2.0) < 0.001

The CMI, cumulative CMI, and changes in these metrics are associated with an increased risk of future hypertension and stroke among individuals with abnormal glucose metabolism

During the follow-up period from 2015 to 2018, among the 4,207 individuals with impaired glucose metabolism, 746 new cases of hypertension (17.7%) and 94 new cases of stroke (2.2%) were identified. For each unit increase in CMI, there was a 27% increase in the risk of hypertension (OR = 1.27, 95% CI: 1.15–1.40, p = 4.46E-06) and a 31% increase in the risk of stroke (OR = 1.31, 95% CI: 1.05–1.67, p = 2.32E-02). When using the first quartile as the reference, both the third (Q3) and fourth (Q4) quartiles of CMI were positively associated with the risk of hypertension and stroke. Additionally, we observed an association between cumulative CMI and the risk of hypertension, but no statistically significant association with the risk of stroke.

Participants were classified based on cumulative CMI quartiles. In the fully adjusted model, compared with the first quartile, the third quartile (OR = 1.48, 95% CI: 1.19–1.85, p = 5.44E-04) and the fourth quartile (OR = 1.84, 95% CI: 1.47–2.31, p = 9.23E-08) were associated with an increased risk of hypertension. However, the relationship between the second quartile (OR = 1.23, 95% CI: 0.98–1.54, p = 7.81E-02) and hypertension risk was not significant (Table 4). Additionally, no statistically significant association was found between cumulative CMI quartiles and stroke risk.

Table 4.

Association between the CMI related indeces and stroke incidence in diabetes and prediabetets populations

Label Model1 Model2 Model3
OR(95%CI) P Value OR(95%CI) P Value OR(95%CI) P Value
CMI Continuous
CMI 1.20(1.03–1.39) 1.69E-02 1.28(1.05–1.59) 1.64E-02 1.31(1.05–1.67) 2.32E-02
CMI Quartiles
CMI_Q1 1.00(Reference) 1.00(Reference) 1.00(Reference)
CMI_Q2 1.70(1.01–2.95) 5.02E-02 1.73(1.02–3.00.02.00) 4.55E-02 1.74(1.02–3.04) 4.54E-02
CMI_Q3 2.24(1.35–3.83) 2.36E-03 2.25(1.34–3.90) 2.75E-03 2.32(1.36–4.09) 2.50E-03
CMI_Q4 1.99(1.18–3.43) 1.11E-02 2.02(1.18–3.63) 1.29E-02 2.06(1.15–3.88) 1.81E-02
C_CMI Continuous
C_CMI 1.15(1.00–1.30.00.30) 2.60E-02 1.14(0.99–1.30) 4.06E-02 1.12(0.96–1.28) 1.05E-01
C_CMI Quartiles
C_CMI_Q1 1.00(Reference) 1.00(Reference) 1.00(Reference)
C_CMI_Q2 1.09(0.64–1.86) 7.41E-01 1.10(0.65–1.88) 7.21E-01 1.12(0.65–1.92) 6.85E-01
C_CMI_Q3 1.71(1.05–2.82) 3.34E-02 1.69(1.03–2.83) 4.01E-02 1.66(1.00–2.79.00.79) 5.22E-02
C_CMI_Q4 1.76(1.08–2.92) 2.46E-02 1.78(1.07–3.05) 2.84E-02 1.69(0.99–2.99) 5.73E-02
CMI Cluster
Cluster_1 1.00(Reference) 1.00(Reference) 1.00(Reference)
Cluster_2 1.43(1.01–2.03) 4.19E-02 1.42(1.00–2.04.00.04) 5.40E-02 1.38(0.95–2.00.95.00) 9.00E-02
Cluster_3 2.07(0.71–4.83) 1.30E-01 2.13(0.73–5.03) 1.17E-01 1.74(0.56–4.40) 2.83E-01

Table 3 presents the results of the logistic regression analysis, which examined the relationship between changes in CMI and the incidence of hypertension and stroke. After adjusting for various risk factors in Model 3, compared with Class 1, Class 2 (OR = 1.39, 95% CI: 1.19–1.62, p = 3.73E-05) and Class 3 (OR = 2.38, 95% CI: 1.62–3.48, p = 8.94E-06) exhibited a higher risk of hypertension. However, compared with Category 1, there was no statistically significant difference in the increased risk of stroke for Category 2 (OR = 1.37, 95% CI: 0.96–1.97, p = 8.44E-02) and Category 3 (OR = 1.99, 95% CI: 0.77–5.15, p = 1.57E-01).

Table 3.

Association between the CMI related indeces and hypertension incidence in diabetes and prediabetets populations

Label Model1 Model2 Model3
OR(95%CI) P Value OR(95%CI) P Value OR(95%CI) P Value
CMI Continuous
CMI 1.27(1.17–1.37) 5.13E-09 1.32(1.21–1.45) 8.07E-10 1,27(1.15–1.40) 4.46E-06
CMI Quartiles
CMI_Q1 1.00(Reference) 1.00(Reference) 1.00(Reference)
CMI_Q2 1.17(0.91–1.49) 2.16E-01 1.18(0.92–1.51) 1.89E-01 1.15(0.89–1.48) 2.97E-01
CMI_Q3 1.55(1.22–1.96) 3.32E-04 1.61(1.27–2.05) 1.01E-04 1.53(1.19–1.97) 1.06E-03
CMI_Q4 1.95(1.55–2.47) 1.58E-08 2.02(1.60–2.57) 5.58E-09 1.86(1.43–2.41) 3.53E-06
C_CMI Continuous
C_CMI 1.28(1.18–1.39) 1.72E-09 1.30(1.20–1.42) 1.18E-09 1.23(1.12–1.35) 1.16E-05
C_CMI Quartiles
C_CMI_Q1 1.00(Reference) 1.00(Reference) 1.00(Reference)
C_CMI_Q2 1.24(0.97–1.58) 8.66E-02 1.25(0.98–1.60) 7.07E-02 1.21(0.94–1.56) 1.45E-01
C_CMI_Q3 1.51(1.19–1.92) 7.56E-04 1.57(1.23–2.00.23.00) 2.88E-04 1.47(1.14–1.89) 3.02E-03
C_CMI_Q4 2.07(1.64–2.62) 9.49E-10 2.15(1.69–2.73) 3.09E-10 1.85(1.43–2.41) 3.21E-06
CMI Cluster
Cluster_1 1.00(Reference) 1.00(Reference) 1.00(Reference)
Cluster_2 1.47(1.24–1.73) 5.32E-06 1.51(1.27–1.78) 1.84E-06 1.44(1.21–1.71) 4.20E-05
Cluster_3 3.34(2.10–5.23) 1.86E-07 3.33(2.09–5.22) 2.29E-07 2.69(1.66–4.31) 4.75E-05

The nonlinear relationship between cumulative CMI and the incidence of hypertension and stroke in diabetes and prediabetes, and its predictive performance

The RCS regression model revealed a nonlinear relationship between cumulative CMI and the risk of hypertension in individuals with impaired glucose metabolism (nonlinear p-value = 0.024). However, no nonlinear relationship was observed between cumulative CMI and stroke risk (nonlinear p-value = 0.247) (Fig. 3). ROC curves indicated that cumulative CMI had the highest diagnostic performance for hypertension (area under the curve [AUC] = 0.73) and stroke (AUC = 0.67). Baseline CMI at wave 3 (CMI_w3) demonstrated diagnostic performance for hypertension (AUC = 0.73) and stroke (AUC = 0.67) that was consistent with cumulative CMI (Fig. 4).

Fig. 3.

Fig. 3

Restricted Cubic Spline Model Illustrating the Association Between Cardiometabolic Index(CMI) and Cumulative Cardiometabolic Index (C_CMI) and the Risk of Hypertension and Stroke. (A) CMI and risk of HBP; (B) C_CMI and risk of HBP; (C) CMI and risk of stroke; (D) C_CMI and risk of stroke

Fig. 4.

Fig. 4

Receiver Operating Characteristic (ROC) curves comparing the predictive performance of the Cardiometabolic Index (CMI) and the cumulative CMI index for future hypertension and stroke among individuals with diabetes and prediabetes in different logistic model. A: CMI and predicted the future risk of hypertension in different logistic model. B: C_CMI and predicted the future risk of hypertension in different logistic model. C: CMI and predicted the future risk of stroke in different logistic model. D: C_CMI and predicted the future risk of stroke in different logistic model

Subgroup analysis and sensitivity analysis

Table 5; Fig. 5 illustrate the changes in CMI and cumulative CMI, stratified by various factors, and their associations with the risk of hypertension and stroke. Additionally, these figures depict the changes in cumulative CMI and their corresponding associations with hypertension and stroke risk. No significant interactions were observed among the other subgroups. A complete data analysis was conducted, and the results of the sensitivity analysis were consistent with the main findings of this study, thereby confirming the robustness of the results.

Table 5.

Association of CMI and cumulative CMI with the risk of stroke stratified by different factors

Variable N Percent OR OR_LL OR_UL P value P for interaction
CMI
Sex 0.603
Female 2293 54.5 1.22 1 1.49 0.051
Male 1914 45.5 1.13 0.92 1.39 0.244
Education 0.879
Below high school 3788 90 1.15 0.98 1.35 0.079
High school or above 419 10 1.19 0.85 1.65 0.308
Smoking 0.646
Ever smokers 1844 43.8 1.12 0.89 1.41 0.326
Never smokers 2363 56.2 1.2 1 1.44 0.044
Drinks 0.541
Ever drinkers 1460 34.7 1.23 1 1.5 0.047
Never drinkers 2747 65.3 1.12 0.92 1.37 0.253
Hukou 0.835
Rural 3508 83.4 1.14 0.97 1.35 0.105
Urban 699 16.6 1.2 0.82 1.74 0.356
Marital_status 0.87
Partnered 3636 86.4 1.16 0.99 1.35 0.071
Separated 571 13.6 1.2 0.8 1.78 0.377
Heart_problem 0.869
No 3665 87.1 1.14 0.96 1.35 0.139
Yes 542 12.9 1.17 0.89 1.53 0.261
Dyslipidemia 0.778
No 3935 93.5 1.15 0.98 1.34 0.082
Yes 272 6.5 1.06 0.61 1.82 0.839
BMI 0.059
<18.5 296 7 4.29 1.81 10.14 0.001
18.5–24.9 2617 62.2 1.25 0.96 1.62 0.097
25–30 1101 26.2 1.03 0.7 1.52 0.869
>30 193 4.6 1.03 0.66 1.62 0.881
Age 0.876
<60 2020 48 1.18 0.96 1.45 0.117
>60 2187 52 1.15 0.95 1.41 0.157
C_CMI
Sex 0.54
Female 2293 54.5 1.1 0.96 1.27 0.171
Male 1914 45.5 1.19 0.96 1.48 0.106
Education 0.211
Below high school 3788 90 1.1 0.97 1.24 0.129
High school or above 419 10 1.48 0.94 2.32 0.088
Smoking 0.665
Ever smokers 1844 43.8 1.17 0.95 1.44 0.149
Never smokers 2363 56.2 1.11 0.96 1.27 0.152
Drinks 0.557
Ever drinkers 1460 34.7 1.09 0.95 1.26 0.208
Never drinkers 2747 65.3 1.18 0.96 1.45 0.12
Hukou 0.385
Rural 3508 83.4 1.17 1 1.38 0.057
Urban 699 16.6 1.03 0.8 1.32 0.829
Marital_status 0.916
Partnered 3636 86.4 1.11 1 1.25 0.061
Separated 571 13.6 1.14 0.72 1.8 0.565
Heart_problem 0.526
No 3665 87.1 1.15 0.97 1.36 0.109
Yes 542 12.9 1.06 0.88 1.27 0.533
Dyslipidemia 0.831
No 3935 93.5 1.11 0.99 1.25 0.083
Yes 272 6.5 1.05 0.62 1.76 0.863
BMI 0.066
<18.5 296 7 4.57 1.73 12.08 0.002
18.5–24.9 2617 62.2 1.17 0.94 1.45 0.165
25–30 1101 26.2 1.04 0.82 1.32 0.735
>30 193 4.6 1.13 0.58 2.2 0.726
Age 0.871
<60 2020 48 1.11 0.97 1.27 0.113
>60 2187 52 1.14 0.92 1.4 0.225

Fig. 5.

Fig. 5

Subgroup Analysis Results: Association Between Cardiometabolic Index (CMI) and Hypertension Risk in Individuals with Diabetes and Prediabetes

Discussion

This prospective cohort study included 4,207 participants with impaired glucose metabolism and aimed to explore the relationship between changes in CMI, cumulative CMI, and clustered CMI and the risk of hypertension and stroke. The study identified three distinct CMI trajectory models and four cumulative CMI quartiles. Compared with the low-level stable group, both the moderate-level stable group and the high-level declining group exhibited a significant association between CMI and hypertension risk. However, no significant statistical association was found with stroke risk. While CMI was associated with both hypertension and stroke risk, cumulative CMI was only associated with hypertension risk. Similarly, compared with the first quartile, the third and fourth quartiles of cumulative CMI were significantly associated with hypertension risk. Subgroup analysis and sensitivity analysis results were consistent, thereby confirming the robustness of the study findings.

In this study, K-means clustering analysis was employed to categorize individuals based on changes in CMI and cumulative CMI. Compared with the first group of participants, who maintained a consistently low and stable CMI, the second group (characterized by moderate and stable CMI) and the third group (with high CMI and a slow downward trend) exhibited a higher risk of hypertension. Similar findings were observed when participants were grouped according to cumulative CMI quartiles. Individuals with higher cumulative CMI were found to have a higher risk of hypertension. This study represents the first investigation into the association between the combined index CMI of TG/HDL-C and WHtR and the risk of hypertension and stroke in individuals with impaired glucose metabolism. Our results suggest that CMI may increase the risk of hypertension in individuals with impaired glucose metabolism.

These findings may be closely related to several underlying mechanisms. The TG/HDL-C ratio serves as an indicator of lipid metabolism disorders and insulin resistance, which can increase the risk of atherosclerosis, cardiovascular events, and metabolic syndrome [17–19]. An elevated WHtR is associated with an increased overall mortality rate from coronary heart disease and diabetes [20–23]. First, a higher WHtR is closely linked to increased visceral fat [24]. The accumulation of visceral fat promotes insulin resistance and metabolic syndrome, thereby further increasing the risk of complications associated with impaired glucose metabolism [24–27]. Excessive visceral fat tissue leads to adipocyte hypertrophy and dysfunction, triggering a series of inflammatory responses [28]. Adipocytes release pro-inflammatory factors such as tumor necrosis factor-α and interleukin-6, which can trigger systemic inflammation and impair vascular function, thereby increasing the risk of hypertension [29]. On the other hand, dyslipidemia is closely associated with atherosclerosis. The accumulation of LDL particles on arterial walls increases the formation of atherosclerotic plaques, which is a key factor in the development of hypertension and other cardiovascular diseases [30]. Additionally, lipid metabolism disorders may influence blood pressure regulation through oxidative stress and endothelial dysfunction [31, 32]. Imbalances in the production and clearance of reactive oxygen species can lead to cellular and tissue damage, not only directly impairing vascular endothelial cells but also indirectly affecting blood pressure regulation by promoting inflammatory responses and the progression of atherosclerosis [33–35]. Third, insulin resistance may lead to elevated blood insulin levels, which can increase blood volume by affecting renal sodium retention and directly influence blood pressure by activating the sympathetic nervous system and promoting vascular smooth muscle cell proliferation [36]. Elevated levels of insulin-like growth factor 1 may also affect vascular remodeling by promoting atherosclerosis, thereby increasing the risk of hypertension [37].

The association between CMI and hypertension risk in individuals with abnormal glucose metabolism is likely not attributable to the isolated effect of a single factor, but rather to the potential interactions among these indicators. The cardiometabolic index (CMI) integrates a marker of central obesity (waist-to-height ratio) with an index of atherogenic dyslipidaemia (TG/HDL-C). By combining these two pathophysiologically related dimensions, CMI may better capture the metabolic milieu that predisposes to hypertension and cardiovascular disease than either anthropometric or single lipid measures alone [13, 38, 39]. Empirical studies in large Chinese and international cohorts have shown that CMI is independently associated with hypertension and cardiovascular outcomes and often demonstrates greater discrimination than conventional single measures (e.g., BMI, WC, TG or TG/HDL-C alone) [13, 38, 39]. Central obesity and lipid metabolism disorders work synergistically to promote hypertension through shared metabolic pathways and pathological mechanisms. CMI integrates changes in lipid metabolism, insulin resistance, and other factors, thereby offering a more comprehensive reflection of an individual’s metabolic health status. By consolidating multiple metabolic abnormalities, CMI enhances the accuracy of predicting the onset of hypertension.

Further analysis using restricted cubic splines revealed a nonlinear relationship between CMI and hypertension risk. Specifically, the association between cumulative CMI and hypertension risk exhibited an inverted L-shaped curve. Compared with the first quartile, there was a rapid increase in hypertension risk in the third and fourth quartiles of cumulative CMI. However, no significant association was observed between cumulative CMI and hypertension risk in the second quartile.This study is the first to elucidate the complex relationship between CMI and hypertension in individuals with impaired glucose metabolism. The rapid increase in hypertension risk associated with higher cumulative CMI is closely linked to visceral fat accumulation and worsening atherosclerosis [12, 24–27, 39]. Additional ROC curve analysis indicated that CMI has significant predictive value for the occurrence of hypertension and stroke. Therefore, future research should further investigate the application of CMI across different populations to better assess whether combining CMI with other indicators can enhance predictive accuracy. This would provide stronger scientific evidence for its potential clinical application. Subgroup analyses confirmed that the results are applicable across different populations and align with the main findings.

Additionally, this study did not reveal a significant association between CMI and stroke risk in individuals with impaired glucose metabolism. As shown in Table 3, and 4, the association between CMI and stroke risk in Models 1 and 2 was very close to the statistical significance threshold. Specifically, in Table 4, the results of Model 1 and Model 2 are statistically significant. Therefore, although this study failed to confirm the relationship between CMI and stroke risk, this may be due to the relatively low incidence of stroke in the study population. Increasing the sample size may enhance the likelihood of identifying a positive correlation. In summary, future large-scale prospective studies will further explore and clarify the causal relationship between CMI and stroke risk in individuals with impaired glucose metabolism, which will be more persuasive.

Traditional cardiovascular risk assessment models (such as the Framingham Risk Score (FRS)) mainly consider age, gender, blood pressure, cholesterol levels, smoking and diabetes status as risk factors. These factors do not directly capture central obesity or metabolic disorders, which play a key role in the pathogenesis of hypertension and stroke, especially in individuals with impaired glucose metabolism. In contrast, CMI integrates the triglyceride-high-density lipoprotein-C ratio and waist-to-height ratio, combining indicators of dyslipidemia and visceral fat, both of which are at the core of insulin resistance and vascular dysfunction. Therefore, CMI can more directly reflect the cardiometabolic risk of patients with diabetes and prediabetes. In addition, CMI can be easily calculated using conventional clinical data without the need for complex algorithms or clinical history, making it a practical and cost-effective tool for large-scale screening and follow-up. Future research directly comparing the predictive accuracy of CMI with established scores, such as the predictive accuracy of FRS in different metabolic subgroups, will be valuable to confirm its incremental clinical application and explore whether incorporating CMI into traditional risk models can improve prognostic performance.

While the CMI and metabolic syndrome (MetS) share multiple common indicators—including triglycerides, HDL-C, and central obesity metrics—their clinical interpretation and application differ significantly. MetS, as a binary diagnostic criterion, identifies patients by meeting at least three of five predefined criteria (e.g., elevated blood pressure and fasting blood glucose). In contrast, CMI, as a continuous quantitative metric, integrates lipid profile abnormalities and central obesity data to more accurately assess cumulative metabolic burden. Crucially, CMI requires no blood pressure or fasting glucose data, relying solely on routine lipid measurements and anthropometric data, making it particularly suitable for large-scale screening and early identification of high-risk populations in resource-constrained or community settings. Although MetS covers a broader spectrum of cardiometabolic disorders, CMI quantifies metabolic dysfunction below diagnostic thresholds more effectively. It should be noted that due to incomplete data from MetS indicators, this study did not directly compare CMI with MetS. Future prospective research should evaluate whether CMI offers predictive value for hypertension and stroke risk that surpasses MetS.

The strength of this study lies in its utilization of a prospective cohort design to examine the relationship between CMI and the risk of hypertension and stroke in individuals with impaired glucose metabolism. After adjusting for a variety of risk factors, we identified a significant association between CMI and hypertension risk among those with abnormal blood glucose levels. The robustness of these findings was further confirmed through sensitivity analyses. Additionally, we employed the K-means clustering method to systematically delineate long-term trajectories of CMI changes. This approach yielded reliable and distinct groupings, with individuals within each group demonstrating specific and consistent changes in their CMI indices over the follow-up period. The resulting clusters were not only robust but also endowed with enhanced statistical power.

This study also has several limitations that should be acknowledged. First, all participants in this study were Chinese middle-aged and older adults aged 45 years or older, with an average age of 61.7 years. Therefore, these results are primarily applicable to the middle-aged and older adult population in China, and further research is needed to confirm their applicability to other countries and populations. Second, the cases of hypertension and stroke included in this study were self-reported by patients and diagnosed by physicians, which may introduce classification bias. However, hypertension cases were validated through multiple sources of information, including measured systolic and diastolic blood pressure and antihypertensive medication use, while stroke cases were confirmed through validation with anti-stroke medication use. Additionally, previous studies have shown that self-reported data in this cohort typically align with medical records, and misreporting is non-systematic, indicating minimal misreporting error. Furthermore, the number of newly diagnosed stroke patients included in this study was very small, with only 97 cases. As shown in Tables 3 and 4, there was a statistically significant association between CMI and stroke risk in Models 1 and 2, but no association was observed in Model 3. Increasing the sample size and the number of stroke patients included may better elucidate the relationship between CMI and stroke risk. Another limitation of the present study is that we did not perform direct, head-to-head evaluations of CMI against each of its component variables (TG, TG/HDL-C, and waist-to-height ratio/WC) using formal incremental metrics (e.g., ΔAUC, net reclassification improvement, or integrated discrimination improvement). Such analyses would be valuable to determine whether CMI provides additional predictive information beyond its individual components. We therefore recommend that future prospective studies explicitly compare CMI with its individual components using ROC comparison and reclassification analyses to establish its incremental clinical utility. Besides, although we adjusted for potential confounding factors affecting hypertension and stroke risk in the models, unmeasured confounding factors may still influence the results. Another limitation of this study is the lack of systematic data on mortality during follow-up, which prevented assessment of death as a competing risk. Given the characteristics of the study population, the potential impact of mortality on hypertension and stroke incidence is likely small, but future longitudinal studies should include competing risk analyses to validate our findings Table 5.

Conclusion

In summary, elevated CMI indices in individuals with impaired glucose metabolism are associated with an increased risk of hypertension and stroke. Our findings suggest that maintaining relatively low CMI index levels may help individuals with impaired glucose metabolism prevent the onset of hypertension and stroke. Given that the CMI index is easily accessible in both urban and rural communities, clinicians can utilize changes in this indicator to stratify population risk. This approach enables more personalized strategies for mitigating the risk of hypertension and stroke-related complications in individuals with impaired glucose metabolism.

Acknowledgements

We thank all workers who contributed to the CHARLS database.

Abbreviations

CMI

Cardiovascular metabolic index

RCS

Restricted cubic spline

TG

Triglycerides

HDL-C

High-density lipoprotein cholesterol ratio

WHtR

Waist-to-height ratio

NHANES

National Health and Nutrition Examination Survey

BMI

Body mass index

CHARLS

China Health and Retirement Longitudinal Study

HbA1c

Hemoglobin A1c

LDL-C

Low-density lipoprotein cholesterol

CMI_w1

CMI at wave 1

CMI_w3

CMI at wave 3

AUC

Area under the curve

Author contributions

YS and YZ conceived and designed the study and outlined the structure of the manuscript. YS, XZ and JX were responsible for selecting the references and contributed to the writing process. YS and XZ undertook the data cleaning of the CHARLS dataset. YS, XZ, CZ and JX performed the statistical analyses for this study. YZ, GC and JX contributed to the revision and finalization of the manuscript. GC guided the revision of the manuscript. All authors participated in the preparation and approved the final version of the manuscript.

Funding

This work was supported by the Natural Science Foundation of Hunan Province, China(Grant No. 2025JJ80441).

Data availability

The original contributions presented in the study are included in the manuscript. Further inquiries can be directed to the corresponding author.

Declarations

Competing interests

The authors declare no competing interests.

Footnotes

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Gaoyuan Cui, Yi Zeng and Jian Xia are contributed equally to this work.

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Associated Data

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

Data Availability Statement

The original contributions presented in the study are included in the manuscript. Further inquiries can be directed to the corresponding author.


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