Table 1. In silico values of the parameters used in the proposed model.
Parameter | Symbol | In silico value |
---|---|---|
Diffusion coefficient of the tumor | Mϕ | 0.3 |
Interface width of tumor | λϕ | |
Diffusion coefficient of the nutrient | Dσ | 30 |
Production rate of nutrient | 1 | |
Uptake rate of nutrient by tumor | 6 × 10−3 | |
Uptake rate of nutrient by host tissue | 6 × 10−4 | |
Necrotic/hypoxic-cell threshold | σn-h | 0.2 |
Hypoxic/viable-cell threshold | σh-v | 0.4 |
TAF condition for highest proliferation | fp | 0.3 |
Mobility of capillaries | Mc | 1 |
Interface width of capillaries | λc | 1 |
Proliferation rate of endothelial cells | Bp | 1.401 |
TEC radius | R | 4 |
Condition 1 for TEC (de)activation | cact | 0.9 |
Condition 2 for TEC (de)activation | fact | 0.001 |
Chemotatic constant | χ | 7.28 |
Dll4 effective distance | δ4 | 80 |
Diffusion coefficient of TAF | Df | 100 |
Uptake rate of TAF by capillaries | Bu | 6.25 |
Parameters related to angiogenesis are obtained from [59].