Blood parameters
|
|
|
Maximal RBC oxygen concentration |
C
0 = 0.5 cm3O2 cm−3
|
[24]
|
Effective unbound oxygen solubility |
αeff = 3.1×10−5 cm3O2 cm−3 mmHg−1
|
[24]
|
Hill equation parameter |
P
50 = 38 mmHg |
[24]
|
Hill equation parameter |
n = 3 |
[24]
|
Tissue oxygen parameters
|
|
|
Krogh diffusion constant |
DO α = 6×10−10 cm3O2 cm−1 s−1 mmHg−1
|
[24]
|
Consumption rate |
M
0 = 0.5–2.5 cm3O2 (100 cm3)−1 min−1
|
See text |
PO
2 at half-maximal consumption |
Pc = 1 mmHg |
[24]
|
VEGF parameters
|
|
|
Diffusivity |
DG = 1.13×10−6 cm2 s−1
|
[51]
|
Basal release rate |
MG
0 = 1.97×10−3 pM s−1
|
[51]
|
Tissue degradation rate constant |
KG = 2.82×10−3 s−1
|
See text |
Structural adaptation parameters
|
|
|
Reference wall shear stress |
τref = 0.103 dyn/cm2
|
[20]
|
Reference oxygen level for metabolic signal |
PO
2ref = 93.2 mmHg |
[20]
|
Conducted response length constant |
Lc = 17300 µm |
[20]
|
Reference flow rate for metabolic signal |
Qref = 0.198 nl/min |
[20]
|
Conducted response saturation |
J
01 = 1000 µm |
See text |
Pressure sensitivity |
kp = 0.68 |
[20]
|
Metabolic sensitivity |
kp = 0.70 |
[20]
|
Conducted response sensitivity |
kc = 2.45 |
[20]
|
Shrinking tendency |
ks = 2.549 |
See text |
Randomization of shrinking tendency |
Ran-ks = 0.1 |
[47]
|
Structural adaptation time scale |
T = 4.5 day |
[46]
|
Angiogenesis parameters
|
|
|
Time step |
Δt = 1 day |
|
Diameter of new sprouts |
Ds = 10 µm |
[25]
|
Threshold VEGF concentration |
Cth = 0.8 nM |
See text |
Constant in sprouting probability function |
Cth
50 = 0.5 nM |
See text |
Maximum sprout formation probability |
kp = 0.002 µm−1 day−1
|
[12]
|
Sprout growth rate |
Vg = 50 µm day−1
|
[39]
|
Attraction constant to nearby vessels |
kV = 10 µm−1
|
See text |
Maximum vessel sensing distance |
Rmax = 100 µm |
[41]
|
Maximum vessel sensing angle |
θmax = π/3 |
See text |
Variance of growth direction randomization |
σs = 0.1 |
See text |
Vessel migration parameters
|
|
|
Threshold for migration |
λt = 0.05 |
See text |
Maximum migration velocity |
vmax = 1 µm day−1
|
See text |