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. 2013 Mar 21;9(3):e1002983. doi: 10.1371/journal.pcbi.1002983

Table 1. Model parameters.

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