Table 2.
Parameter definitions for the ODE model
| Parameter | Name | Assumed model value | Sensitivity analysis range |
|---|---|---|---|
| βj | c-Jun protein production rate | 3 h−1 | 2–4 h−1 |
| αj | c-Jun protein degradation rate | 0.5 h−1 (26) | 0.3–1 h−1 |
| βjp | Saturating production rate of pJun | 3 h−1 | 2–4 h−1 |
| n | Hill coefficient of c-Jun phosphorylation by active JNK | 4 (10,11,27) | 1–10 |
| T | Active JNK concentration for half-maximal phosphorylation of c-Jun | 1 Cs (10,11) | 0.1–2 Cs |
| αjunp | pJun degradation rate | 2.1 h−1 | 0.5–3 h−1 |
| βjmi | Basal c-Jun mRNA production rate | 1 Cs h−1 | 0.1–2 Cs h−1 |
| βmj | pJun-dependent c-Jun mRNA production rate | 1.5 h−1 (28) | 1–3 h−1 |
| αjm | c-Jun mRNA turnover rate | 2.1 h−1 (29) | 0.3–3 h−1 |
| βt | Basal target gene mRNA production rate | 1 Cs h−1 | 0.1–2 Cs h−1 |
| βtj | pJun-dependent target gene mRNA production rate | 3 h−1 | 2–4 h−1 |
| αm | Target gene degradation rate | Variable dependent on figure (0.02 h−1–1.4 h−1) | 0.02–1.4 h−1 |
| βjnkp | Active JNK production rate | 10 Cs h−1 (10,11) | 5–15 Cs h−1 |
| αjnkp | Active JNK degradation rate | 7.5 h−1 (10,11) | 3–10 h−1 |
| αdjnkp | Saturating dephosphorylation rate of Active JNK | 50 h−1 (10,11) | 30–70 h−1 |
| Td | DUSP1 concentration for half-maximal JNK dephosphorylation | 0.2 Cs (10,11) | 0.01–1 h–1 |
| βmd | pJun-dependent DUSP1 mRNA production rate | 0.25 h−1 (10,11) | 0.1–2 h−1 |
| c | Stimulus | 0 or 1 | NA |
| αdusp | DUSP1 mRNA degradation rate | 2.1 h−1 (30,31) | 0.3–3 h−1 |
| βdusp | DUSP1 protein production rate | 1 h−1 | 0.1–2 h−1 |
| αdp | DUSP1 protein degradation rate | 0.693 h−1 (32,33) | 0.3–2.1 h−1 |