QUESTIONS:
A model bioartificial pancreas is being which consists of immortalized pancreatic (ßTC3) cells uniformly immobilized in a cylindrical microtissue ofagarose (Figure I). These cells consume oxygen at a constant rate of 5.97×10-8 gM/s/ce11. For the construct depicted in Figure l, the length is much greater than the radius (i.e., edge can ignored).
When maintained in culture, what density of ßTC3 cells can be suw)rted in this construct such that necrosis does not occur at the center of the construct?
Useful Data:
Effective oxygen diffusivity in agarose with cells = 2.25 x 10-5 cm2/s
P02 under culture conditions at 37 oc = 140 mmHg
Critical P02 under which necrosis = 20 mmHg
Henry’s law constant — 0.74 mmHg/gM
State your initial considerations (5 points) and your proposed strategy (5 points). Show all your