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.
![1668_Demonstrate the effect of oxygen transfer.png](https://secure.tutorsglobe.com/CMSImages/1668_Demonstrate%20the%20effect%20of%20oxygen%20transfer.png)
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