Research Article

Dynamic Determinants of Longevity and Exceptional Health

Table 3

Effect of β€œdynamic” risk factors calculated from individual trajectories of physiological indices with nonmonotonic patterns on mortality risk in the Framingham Heart Study (original cohort) estimated by the Cox proportional hazards model.

Physiological IndexRisk Factor (RF)Mean RF (St. Dev.)Cox Regression Model
Parameter (S.E.)Hazard Ratio (95% C.I.)

BMI
( 𝑁 = 2 6 8 6 ,
𝑁 𝑒 = 1 8 2 4 ,
𝑁 𝑐 = 8 6 2 )
Age Max62.063 (8.762)βˆ’0.001 (0.004)0.983 (0.887, 1.089)
Max Index27.869 (4.392)βˆ’0.001 (0.012)0.997 (0.884, 1.124)
I n t e r c e p t 2 L 26.171 (4.187)0.007 (0.012)1.034 (0.925, 1.156)
Left Slope0.220 (0.505)βˆ’0.017 (0.049)0.996 (0.975, 1.018)
Right Slopeβˆ’0.224 (0.576) βˆ’ 0 . 1 7 7 † (0.025)0.959 (0.948, 0.970)
V a r i a b i l i t y 2 L 0.729 (0.371) 0 . 3 5 6 † (0.073)1.153 (1.088, 1.221)
Sex 0 . 5 6 1 † (0.064)1.753 (1.545, 1.989)

DBP
( 𝑁 = 3 1 3 3 ,
𝑁 𝑒 = 2 2 4 2 ,
𝑁 𝑐 = 8 9 1 )
Age Max55.165 (6.973) βˆ’ 0 . 0 0 8 βˆ— (0.004)0.903 (0.822, 0.992)
Max Index86.804 (10.465) 0 . 0 1 6 † (0.003)1.245 (1.141, 1.358)
I n t e r c e p t 2 L 80.471 (12.962)0.001 (0.003)1.008 (0.942, 1.079)
Left Slope0.842 (1.439)0.006 (0.021)1.006 (0.966, 1.047)
Right Slopeβˆ’0.988 (1.976) βˆ’ 0 . 0 5 5 † (0.010)0.939 (0.918, 0.961)
V a r i a b i l i t y 2 L 3.984 (1.383) 0 . 0 9 6 † (0.016)1.172 (1.114, 1.233)
Sex 0 . 5 1 4 † (0.043)1.671 (1.536, 1.818)

HC
( 𝑁 = 2 4 7 1 ,
𝑁 𝑒 = 1 6 5 0 ,
𝑁 𝑐 = 8 2 1 )
Age Max66.061 (7.020) βˆ’ 0 . 0 0 9 βˆ— (0.004)0.882 (0.795, 0.978)
Max Index46.567 (3.265) 0 . 0 2 4 βˆ— (0.012)1.108 (1.003, 1.224)
I n t e r c e p t 2 L 43.756 (4.848)0.007 (0.008)1.031 (0.960, 1.108)
Left Slope0.390 (0.733)βˆ’0.011 (0.054)0.996 (0.956, 1.037)
Right Slopeβˆ’0.856 (3.533) βˆ’ 0 . 0 1 8 βˆ— (0.007)0.988 (0.979, 0.997)
V a r i a b i l i t y 2 L 1.472 (0.551) 0 . 0 9 9 βˆ— (0.045)1.066 (1.006, 1.129)
Sex 0 . 3 9 8 † (0.060)1.488 (1.323, 1.675)

PR
( 𝑁 = 1 8 4 7 ,
𝑁 𝑒 = 1 0 9 7 ,
𝑁 𝑐 = 7 5 0 )
Age Max47.279 (7.676) βˆ’ 0 . 0 1 2 βˆ— (0.005)0.851 (0.742, 0.977)
Max Index81.206 (10.689) 0 . 0 1 6 † (0.004)1.247 (1.126, 1.381)
I n t e r c e p t 2 L 71.554 (15.226)βˆ’0.002 (0.003)0.979 (0.904, 1.059)
Left Slope1.535 (3.445)0.007 (0.013)1.011 (0.972, 1.052)
Right Slopeβˆ’0.898 (1.980) βˆ’ 0 . 0 7 0 x (0.021)0.927 (0.886, 0.970)
V a r i a b i l i t y 2 L 5.057 (1.978)0.028 (0.017)1.070 (0.988, 1.159)
Sex 0 . 7 2 7 † (0.070)2.069 (1.804, 2.374)

SCH
( 𝑁 = 2 2 9 7 ,
𝑁 𝑒 = 1 7 1 1 ,
𝑁 𝑐 = 5 8 6 )
Age Max55.574 (8.298)0.002 (0.005)1.023 (0.923, 1.134)
Max Index261.965 (42.429)0.001 (0.001)1.059 (0.958, 1.170)
I n t e r c e p t 2 L 225.428 (61.457)βˆ’0.0003 (0.001)0.981 (0.903, 1.066)
Left Slope5.517 (8.442)βˆ’0.005 (0.005)0.975 (0.921, 1.032)
Right Slopeβˆ’4.121 (8.689) βˆ’ 0 . 0 0 7 βˆ— (0.003)0.969 (0.946, 0.993)
V a r i a b i l i t y 2 L 13.484 (6.237) 0 . 0 1 4 # (0.004)1.101 (1.039, 1.166)
Sex 0 . 5 6 6 † (0.073)1.761 (1.526, 2.031)

Notes. βˆ— . 0 1 ≀ 𝑃 < . 0 5 , # . 0 0 1 ≀ 𝑃 < . 0 1 , x . 0 0 0 1 ≀ 𝑃 < . 0 0 1 , † 𝑃 < . 0 0 0 1 , for other estimates: 𝑃 β‰₯ . 0 5 ; Sex: 1β€”male, 0β€”female; the other Risk Factors are continuous and calculated as described in Section 2; 𝑁 denotes the total number of individuals; 𝑁 𝑒 is the total number of events (deaths); 𝑁 𝑐 is the total number of censored individuals; Hazard Ratios for continuous risk factors are for an increase from the first quartile to the third quartile of respective empirical distributions.