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r, Co2 R 3. (12 pts) Oxygen consumption along a tube. Researchers are attempting to develop a tissue-engineered vascular graft (TEVG) using a simple perfusion setup. Flow in Flow out This setup consists of a hollow hydrogel tube with an inner diameter of 6 mm and an outer diameter of 9 mm. Media COM slowly flows through the center of the tube at a velocity of 0.01 cm/s, containing oxygen at an initial concentration (CO2,M = 10x10 mol/cm). The hydrogel layer contains RH endothelial and smooth muscle cells which are being Length (L) grown to assemble into a vascular wall. We can treat this as a homogenous dispersion of cells, consuming oxygen by a zero-order reaction (rate constant, ki = 1x10-7 mol/cms). a) (2 pts) How is the flux of oxygen in the axial (z) direction related to the rate of consumption by the tissue? z = 0 ZEL b) (4 pts) What are the boundary conditions at the graft inlet and outlet, assuming the setup is designed to maximize the length of the graft so there is no oxygen left in the media after scaffold perfusion. c) (6 pts) What is the maximum length of the graft that can be produced? (i.e., the length at which all oxygen is consumed just at the end of the tube)