Table 1 Parameters and boundary conditions input to the computational models.

From: Allometric scaling in-vitro

Parameter

Symbol

Range

Notes

Ref

Construct radius

R

31–5000 μm

From cell monolayers to 5 mm thick spheroids or tissue constructs.

24

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.

25

Single cell CMR

 

4.8 × 10−17 moles/(cell.s)

Typical value for hepatocytes in-vitro.

20,24

Cell density

ρ

5.14 × 1014 −5.14 × 1012 cells/m3

From physiological cell density to typical in-vitro density (5 million cells/mL).

37

Michaeles Menten constant

km

7.39 × 10−3 moles/m3

Typical value for hepatocytes.

24

Oxygen diffusion constant

D

3 × 10−9 m2/s

Diffusion constant in water at 37 °C.

24

Reaction rate

 

Michaelis Menten consumption.

 

Stationary conditions