Research Paper Volume 17, Issue 5 pp 1221—1260
Methods for joint modeling of longitudinal omics data and time-to-event outcomes: applications to lysophosphatidylcholines in connection to aging and mortality in the Long Life Family Study
Figure 1. Applications of stochastic process models to measurements of LPC 15:0/0:0 and mortality data in the LLFS: Estimates of different components of the model. (A) quadratic hazard term (Q(t, c)); (B) adaptive capacity (|a(t, c)|); (C) volatility coefficient (b(t, c)); (D) equilibrium trajectory (f1 (t, c)); (E) optimal trajectory (f0 (t, c)); (F) measure of allostatic load (AL(t, c) = |f0 (t, c)–f1 (t, c)|); p-values shown on the graphs are for different null hypotheses (H0): H0: Q(t, c) = Q(c) (P_QnoT); H0: Q(t, c) = Q(t) (P_QnoC); H0: Q(t, c) = 0 (P_Q0); H0: a(t, c) = a(c) (P_AnoT); H0: a(t, c) = a(t) (P_AnoC); H0: b(t, c) = b(t) (P_BnoC); H0: f1(t, c) = f1(c) (P_F1noT); H0: f1(t, c) = f1(t) (P_F1noC); H0: f0(t, c) = f0(c) (P_F0noT); H0: f0(t, c) = f0(t) (P_F0noC); H0: f1(t, c) = f0(t, c), i.e., AL(t, c) = 0 (P_AL0); H0: f1(t, c) = f1(c) and f0(t, c) = f0 (c), i.e., AL(t, c) = AL(c) (P_ALnoT). LPC values were transformed (see Data).