Table 1.
Model parameters used in simulations
Model | Parameter | Value | Simulation | Source |
---|---|---|---|---|
Stem cell dynamics | Randomization rate, R | 2.5e–4/s | 2D/3D | Fitted |
Stem cell state fluctuation strength, σ0 | 0.15 | 2D | Fitted | |
Differentiation threshold, αd (αs= 1 – αd) | 0.85 | 2D/3D | Set | |
Minimal number of neighbours, Nc | 6 | 3D | Set | |
Transition rate, W 0 | 0.01/s | 3D | Fitted | |
Transition threshold, αc | 0.15, 0.5, 0.85 | 3D | Set | |
Individual cell‐based model | Minimal cell radius, R 0 | 8 µm | 2D/3D | Measured |
Minimal cell volume, V 0 | V(R 0) | 2D/3D | ||
Proliferation rate, r | 1.5–2.1/day* | 2D | Fitted | |
Young modulus, E | 450 Pa | 2D/3D | 34 | |
Contact inhibition threshold, Fc | 1 × 10−9 N | 2D/3D | Fitted | |
Poisson ratio, ν | 0.4 | 2D/3D | 35 | |
Friction constant, ηij | 3 × 107 Ns/m3 | 2D/3D | Set | |
Cellular diffusion coefficient, DC | 4 × 10−12 cm2/s | 2D/3D | 36 | |
Cell–cell anchorage, ɛ | 6 × 10−5 N/m | 2D/3D | 37 | |
Cell–substrate anchorage, ɛ | 6 × 10−5 N/m | 2D | 37 | |
Diffusion | Oxygen diffusion coefficient, D O2 | 0.175 × 10−9 m2/s | 3D | 38 |
Oxygen consumption rate, C O2 | 30–65 fmol/cell/h | 3D | 32, 33, 38 |
2D, two‐dimensional; 3D, three‐dimensional. *The fit of the CFU‐F data was achieved assuming a proliferation rate for all cells of 1.5/day for 20% pO2 and a 1:1 mixture of cells with proliferation rates of 1.5/day and 2.1/day for 5% pO2.