Table 1 Parameters and boundary conditions input to the computational models.
Parameter | Symbol | Range | Notes | Ref |
---|---|---|---|---|
Construct radius | R | 31–5000 μm | From cell monolayers to 5 mm thick spheroids or tissue constructs. | |
Initial and boundary oxygen concentration | co | 0.2–0.03 moles/m3 or mM | Boundary conditions at the surface of the construct: implies media is well-mixed and continuously renewed at the surface. | |
Single cell CMR | 4.8 × 10−17 moles/(cell.s) | Typical value for hepatocytes in-vitro. | ||
Cell density | ρ | 5.14 × 1014 −5.14 × 1012 cells/m3 | From physiological cell density to typical in-vitro density (5 million cells/mL). | |
Michaeles Menten constant | km | 7.39 × 10−3 moles/m3 | Typical value for hepatocytes. | |
Oxygen diffusion constant | D | 3 × 10−9 m2/s | Diffusion constant in water at 37 °C. | |
Reaction rate | Michaelis Menten consumption. | |||
Stationary conditions |