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A polymer slab is constructed to prepare a scaffold for cell encapsulation, but the oxygen and carbon dioxide transport in the polymer slab is not

A polymer slab is constructed to prepare a scaffold for cell encapsulation, but the oxygen and\ carbon dioxide transport in the polymer slab is not high. To improve these multiple cylindrical\ channels are created and fluids are flow through this channel so that oxygen and carbon dioxide\ transport can occur through the fluid. What would be the design of the channel with respect to\ slab dimension and how to transport oxygen and carbon dioxide efficiently through this system?

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