Question

3. bottom of a dish and cultured with cell media atop it (which has an oxygen concentration of 0.15 mol/m3). The diffusivity of oxygen in the skin is 3.10E-9 m2/s, and according to experiments that you've performed, you want to make sure that the concentration of oxygen in the device doesn't fall below 0.055 mol/m3. (Below that concentration harms the cells.) out of 4 points) A flat tissue engineered skin (thickness 2.7 mm) is attached to the The rate of oxygen consumption is -5.2E-15 mol/[cell-s]. What is the maximum cellularity (in cells/mL) that this tissue engineered skin can support?

Answer 1

Let the maximum cellularity be c,

Therefore oxygen consumption by c cells = 5.2E-15*c mol/ml/s

Maximum pemissible fall in oxygen

= 0.15-0.055

= 0.095 mol/m³

Diffusivity of oxygen unit volume per second

= 3.10E-9*2.7E-3

= 8.37E-12 m³/s

Dividing oxygen consumption by c cells by Diffusivity of oxygen unit volume per second

(5.2E-15*c mol/ml/s)/(8.37E-12 m³/s)

0.62cE-3mol/m³ ml s

which is equal to 0.095(calculated)

Therefore,

c=153.22 cells/ml