Table 2 Patient-specific parameters.
Parameter | Meaning | Unit | Patient 1 | Patient 2 | Determination |
|---|---|---|---|---|---|
S d | PT size at diagnosis | mm | 36.0 | 53.7 | Data |
Histology | Adenocarcinoma | Squamous cell carcinoma | Data | ||
T d | Age of the PT at diagnosis | year | 5.3 | 2.1 | Predicted |
Visibility threshold | mm | 3 | 3 | Fixed | |
S 0, p | Initial size of the PT | cell | 1 | 1 | Fixed |
S 0 | Initial size of a BM | cell | 1 | 1 | Fixed |
αp | Proliferation rate at one cell (PT) | day−1 | 0.0284 | 0.0858 | Computed |
βp | Exponential decrease of growth rate (PT) | day−1 | 1.03 × 10−3 | 3.10 × 10−3 | Computed |
DT PT | PT doubling time at 3 cm | day | 173 | 57 | Predicted |
α1 | PT growth rate during relapse | day−1 | 5.72 × 10−4 (23.6) | 0.0101 (5.28 × 10−3) | Fit PT |
κ | PT log-kill effect | day−1 | 4.46 × 10−3 (20.6) | 0.0439 (1803) | Fit PT |
t res | Half-life of treatment response | day | 149 (1.05 × 10−3) | 35.4 (0.998) | Fit PT |
α0 | Proliferation rate at one cell (BM) | day−1 | 0.0284 | 0.0858 | Computed |
β | Exponential decrease of growth rate (BM) | day−1 | 1.03 × 10−3 | 3.10 × 10−3 | Computed |
τ | Dormancy duration | day | 133 (4.23) | 171 (33.3) | Fit BM |
DT BM | BM doubling time at 3 cm | day | 173 | 57 | Predicted |
μ | Cellular metastatic potential | cell−1 × day−1 | 2.00 × 10−12 (2.83) | 1.02 × 10−12 (71.9) | Fit BM |
γ | Fractal (Hausdorff) dimension of the vasculature (x1/3) | — | 1 | 1 | Fit BM* |
d | Dissemination rate at 3 cm | day−1 | 0.0282 | 0.0144 | Predicted |
