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In order to demonstrate the effect of oxygen transfer to tissue engineered constructs, Radisic et al proposed to carry out an experiment on a thick cylindrical porous scaffold with seeded cells.
Due to the thickness of the scaffold, delivery of oxygen from the surrounding culture media to the center of the cylinder is very difficult. To do this they made a number of small cylindrical channels to which oxygen dissolved in culture media can flow and diffuse. A two-dimensional view is given below. Now consider the two small cylindrical channels shown below. The only way to deliver oxygen is by diffusion in the r direction from the flowing stream in the z direction. The oxygen concentration (Co) in the z direction is uniform. The oxygen consumption rate (V) in the r direction by the cells is zero order.
This is a tissue engineering problem about oxygen transfer
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