Table 4 Parameter identifiability of the D. salina model and confidence intervals based on original data and in silico experiments in log-space
Parameter | \(\boldsymbol {\hat {\theta }_{i}}\) | Original data: y=Gk 2 x 1 | Add in silico y = x 3 | Add in silico y = x 5 | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Â | Â | Identifiability | Lower CI | Upper CI | Identifiability | Lower CI | Upper CI | Identifiability | Lower CI | Upper CI |
log10k 1 | -1.9507 | identifiable | -1.9526 | -1.9481 | identifiable | -1.9507 | -1.9507 | identifiable | -1.9512 | -1.9499 |
log10k 2 | 1.2603 | identifiable | 1.2603 | 1.2663 | identifiable | 1.2624 | 1.2641 | identifiable | 1.2626 | 1.2648 |
log10k 3 | 3.3192 | identifiable | 3.3160 | 3.3251 | identifiable | 3.3173 | 3.320 | identifiable | 3.3183 | 3.3202 |
log10k 4 | 2.0231 | identifiable | 2.0192 | 2.0269 | identifiable | 2.0220 | 2.0240 | identifiable | 2.0218 | 2.0239 |
log10k 5 | 4.5278 | identifiable | 4.5214 | 4.5351 | identifiable | 4.5278 | 4.5278 | identifiable | 4.5264 | 4.5296 |
log10k 6 | 5.5047 | identifiable | 5.4963 | 5.5128 | identifiable | 5.5030 | 5.5056 | identifiable | 5.5030 | 5.5062 |
log10k 7 | 4.6765 | identifiable | 4.6683 | 4.6841 | identifiable | 4.6742 | 4.6774 | identifiable | 4.6752 | 4.6786 |
log10k 8 | 2.8452 | identifiable | 2.8222 | 2.8602 | identifiable | 2.8439 | 2.8464 | identifiable | 2.8406 | 2.8487 |
log10k 9 | 1.5753 | identifiable | 1.5697 | 1.5839 | identifiable | 1.5741 | 1.5759 | identifiable | 1.5749 | 1.5757 |
log10k 10 | 0.1611 | non-identifiable | −∞ | 0.5602 | identifiable | 0.1611 | 0.1611 | identifiable | 0.1606 | 0.1616 |
log10P Q 0 | 1.4930 | identifiable | 1.4907 | 1.4947 | identifiable | 1.4922 | 1.4935 | identifiable | 1.4927 | 1.4931 |
log10r 2 | -0.3069 | identifiable | -0.3106 | -0.3025 | identifiable | -0.3069 | -0.3069 | identifiable | -0.3073 | -0.3065 |
log10G | -2.8061 | identifiable | -2.8067 | -2.8036 | identifiable | -2.8061 | -2.8061 | identifiable | -2.8068 | -2.8055 |