Variable | Abbreviation |
---|---|
Concentration of A (ng/ml) | [A] |
Hypoxia inducible factor (HIF1α) | Hα |
Vascular endothelial growth factor | VEGF |
Matrix metalloproteinase | MMP |
Notch ligand Delta-like 4 | Dll4 |
Gradient (concentration of species A) (ng/ml/μm) | ∇A |
Standard deviation | σ |
Probability distribution | Ï• |
Cell position | X(i,j,k) |
Velocity (μm/s) | ν(i,j,k) |
Directional vector | d |
Persistence | p |
Degree of randomness | μ |
Length (μm) | ℓ |
Time (hr) | t |
Elongation constant | ε |
Total tip cell movement | mtotal |
Migration of the tip cell (μm) | Mtip |
Elongation of the tip cell (μm) | Etip |
Elongation of the adjacent stalk cell segment (μm) | Estalk |
Proliferation of tip cell (% volume increase) | Ptip |
Proliferation of stalk cell (% volume increase) | Pstalk |
Cell volume (μm3) | V |
Total stalk cell volume in a sprout (μm3) | VsproutStalk |
Radius of cell (μm) | R |
Radius after proliferation (μm) | RP |
Outer radius of existing capillary (μm) | Rcap |
Radius of inner lumen in existing capillary (μm) | rlumen |
Length of tip cell (μm) | ℓtip |
Length of adjacent stalk cell segment (μm) | ℓStalk |
Length due to stalk cell growth (μm) |
|
Length due to tip cell growth (μm) |
|
Length due to stalk cell stretching (μm) |
|
Random number generator | rgen |
Grid height (μm) | gH |
Grid width (μm) | gW |
Grid length (μm) | gl |