C
hyp
|
Threshold of hypoxia |
5.5 |
M |
|
Threshold of severe hypoxia |
1.52 |
M |
C
nec
|
Threshold of necrosis |
0.02 |
M |
D
C,max
|
Maximum diffusion of oxygen |
1 |
mm 2 h −1
|
D
α,max
|
Maximum diffusion of VEGF |
0.1875 |
mm 2 h −1
|
ε
|
Percentage of loss of diffusion |
20 |
% |
C
sou
|
Oxygen concentration in functional blood vessels |
8 |
M h −1
|
λ
C
|
Degradation rate of oxygen |
0.01 |
h −1
|
ε
C
|
Rate of oxygen consumption by proliferative cells |
3 |
cells −1 mm 2 h −1
|
β
C
|
Rate of oxygen consumption by quiescent cells |
1.5 |
cells −1 mm 2 h −1
|
C
max
|
Maximum concentration of oxygen |
8 |
M |
λ
α
|
Degradation rate of VEGF |
1.25×10−4
|
h −1
|
π
|
Binding rate of VEGF to endothelial cells |
0.791 |
cells −1 mm 2 h −1
|
α
sou
|
Production rate of VEGF |
2.11 |
M cells −1 mm 2 h −1
|
α
max
|
Maximum concentration of VEGF |
2.11 |
M |
α
half
|
Shape parameter of f
ρρ
|
1.25×10−3
|
M |
χ
chemo
|
Maximum effect of VEGF on endothelial chemotaxis |
1.25×10−2
|
mm 2 M −1 h −1
|
χ
prol
|
Maximum effect of VEGF on endothelial proliferation |
5×10−2
|
h −1
|