Please answer it within one hour, i will surely upvote your efforts

7. (24 pts) Tissue Constructs. One of the most studied bioarticificial organ systems is the encapsulation of islets of Langerhans cells to produce insulin in diabetic patients. They consist of islet cells encapsulated in a spherical gel bead. The spheres are kept at 310K, are 250 um in diameter, and the cells consume oxygen at a rate of 25 HM/s. The diffusivity of oxygen into the system is 1.75x10 cm-/sec. The average partial pressure of oxygen at the capsule boundary is 76 mmHg, and Henry's constant is 0.76 mmllg/uM. (changed values from those in the solutions) a) (12 pts) At steady state, show that the analytical solution for oxygen concentration at a radial position r in the gel bead is 9,-k(-+-R) 6D Cau Please remember to clearly state your assumptions, simplified GDE, and boundary conditions used. b) (6 pts) What is the oxygen flux at the surface of the spherical gel r=R? Provide both analytical and numeric solutions. c) (6 pts) Given other parameters stay constant, what is the minimum oxygen diffusivity that allows the absence of necrotic region