Table 1.
Base-case model parameters
| Parameter | Physical meaning | Value |
|---|---|---|
| Parameters for cells | ||
| d (μm) | Average cell diameter | 20 |
| td (h) | Minimum cell division time | 12 |
| Smax (μm/h) | Maximum cell migration speed | 20 |
| tp (h) | Cell migration persistence time | 0.8 |
| tc (h) | Pausing time after cell-cell collision | 1.4 |
| Seeding mode | Uniform | |
| Parameters for the diffusion-reaction PDE | ||
| De,, (m2/s) | Nutrient diffusivity in tissue-free scaffold | 2.7 × 10−10 |
| De,, (m2/s) | Nutrient diffusivity in tissue-filled scaffold | 7.0 × 10−11 |
| Vmax (mol/cell·h) | Maximum nutrient uptake rate by cells | 3.31 × 10−13 |
| Km (mole/m3) | Saturation constant for nutrient uptake | 2.4 |
| K (mole/m3) | Saturation constant in Monod kinetics | 6.022 × 10−2 |
| Clow (mole/m3) | Nutrient concentration below which cell migration stops | 0.0 |
| Chigh (mole/m3) | Nutrient concentration above which cells migrate at Smax | 5.0 |
| Cb (mole/m3) | Nutrient concentration in the bulk of the medium | 5.0 |
| C0 (mole/m3) | Initial nutrient concentration in the scaffold | 0.0 |
| kg (m/s) | Mass transfer coefficient for mixed boundary condition | 1.0 × 10−10 |
| L (m) | Side length of the cubic scaffold | 0.002 |