Fig. 3. ODE model of JNK signaling predicts dynamic gene expression patterns.
A Schematic representation of ODE model of JNK signaling with arrows representing production terms and Ø representing degradation. B–D Simulations of active JNK (blue), phosphorylated c-Jun (orange), and stimulus (gray) for sustained (B), transient (C), or pulsed (D) stimuli. Data shows plots of expression in simulated concentration units (Cs) for each component over time (hours). E–G Global sensitivity analysis of target gene output relative to all model parameters across sustained (E), transient (F), and pulsed (G) model conditions. First-order and total order Sobol indexes are plotted for each parameter, with the darker color indicating more recurrent values. mRNA degradation rates (αm) exhibited the highest first-order index and thus were the primary driver of target gene variance. H–M Simulated gene expression patterns of target genes for sustained, transient, or pulsed JNK activation with either a short or long-lived mRNA over time (hours). Data was scaled by min–max normalization between 0 and 1.