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Table 2 Meta-regression results of the causal estimates from nonlinear MR analysis by fractional polynomial method

From: Nonlinear causal effects of estimated glomerular filtration rate on myocardial infarction risks: Mendelian randomization study

Genetically predicted exposure

Adjusted covariates

Quadratic P value

β

Fractional polynomial model power

Estimated beta

Estimated standard error

Estimated P value

Creatinine-based eGFR

Age, sex, and 10 PCs

<  0.001

β1

1

− 5.36E−2

1.61E−3

<  0.001

β2

3

2.31E−6

6.53E−7

<  0.001

Age, sex, 10 PCs, clinical covariates (e.g., BMI, hypertension, diabetes, dyslipidemia, and albuminuria)

0.02

β1

0.5

− 8.87

3.57

0.013

β2

log 0.5

1.38

0.55

0.013

Cystatin C-based eGFR

Age, sex, and 10 PCs

0.01

β1

2

− 1.48E−3

5.51E−4

0.007

β2

log 2

2.96E−4

1.11E−4

0.008

Age, sex, 10 PCs, clinical covariates (e.g., BMI, hypertension, diabetes, dyslipidemia, and albuminuria)

0.02

β1

0

− 1.44

0.67

0.03

β2

3

8.85E−7

3.60E−7

0.01

  1. Clinical covariates included in the adjusted model were body mass index, systolic blood pressure, hypertension medication history, diabetes mellitus diagnosis, hemoglobin A1c, medication history for dyslipidemia, triglycerides, high-density lipoprotein and low-density lipoprotein cholesterols, and urine microalbumin levels
  2. eGFR estimated glomerular filtration rate, PC principal components, BMI body mass index