Table 4. Parameter values for cell apoptosis model and their corresponding inferred values.
The standard deviations are estimated using Eq. (S3) in S1 Text as practical identifiability analysis using the Fisher Information Matrix. The symbols ✓, † and ⋆ in the last column denote that the corresponding variable is identifiable using our proposed method, FIM standard deviation, and null-eigenvector analysis.
| Parameter | Target Value | Cell Survival | Cell Death | Identifiable | ||
|---|---|---|---|---|---|---|
| Inferred Value | Standard Deviation | Inferred Value | Standard Deviation | |||
| k1 | 2.67 × 10−9 | 0.59 × 10−9 | 6.2 × 10−6 | 0.34 × 10−9 | 1.9 × 10−5 | ✓⋆ |
| kd1 | 1 × 10−2 | 7.06 × 10−10 | 35.5 | 3.37 × 10−7 | 96.7 | |
| kd2 | 8 × 10−3 | 1.72 × 10−3 | 4.9 | 2.38 × 10−3 | 23.8 | ✓ |
| k3 | 6.8 × 10−8 | 0.15 × 10−8 | 1.0 × 10−4 | 0.16 × 10−8 | 2.1 × 10−4 | |
| kd3 | 5 × 10−2 | 4.19 × 10−10 | 62.8 | 4.23 × 10−10 | 78.0 | |
| kd4 | 1 × 10−3 | 0.92 × 10−3 | 0.20 | 1.28 × 10−3 | 1.2 | ✓⋆ |
| k5 | 7 × 10−5 | 1.49 × 10−7 | 0.019 | 7.25 × 10−8 | 0.37 | |
| kd5 | 1.67 × 10−5 | 6.92 × 10−11 | 0.034 | 8.51 × 10−11 | 13.7 | |
| kd6 | 1.67 × 10−4 | 1.81 × 10−4 | 0.35 × 10−4 | 1.57 × 10−4 | 1.57 × 10−4 | ✓†⋆ |