Table 1. Values, units and meaning of the model parameters.
Parameter | Value | Unit | Meaning | Rationale |
ap | 0.154 | day−1 | PT cells proliferation | Fit PT |
bp | 16.7 | day−1 | PT angiogenic stimulation | Fit PT |
dp | 0.0717 | mm−2 day−1 | PT angiogenic local inhibition | H |
a | 0.154 | day−1 | Met cells proliferation | Fit Met |
b | 12.5 | day−1 | Met angiogenic stimulation | Fit Met |
d | 0.0717 | mm−2 day−1 | Met angiogenic local inhibition | H |
m | 0.0229 | mm−3day−1 | Colonization rate | Fit Met |
α | 2/3 | Fractal dimension of vascularization | [43] | |
p | 8.3×10−6 | mg mm−3 day−1 | Production of I | [26] |
k | 0.38 | day−1 | Elimination rate of I | [14] |
e | 7.5 | mg−1day−1 | Effect of I | [14] |
V 0 | 10−6 | mm3 | Met initial volume | H |
K 0 | 1 | mm3 | Met initial carrying capacity | [32] |
Vm | 1 | mm3 | Threshold for metastatic emission | H |
D 2 | 0.156 | mm2day−1 | Angiostatin diffusion coefficient | [57] |
Vd | 7000 | mm3 | Distribution volume | H |
PT = Primary Tumor. Met = metastases. I = global amount of angiogenic inhibitor in the blood. H = heuristic derivation.