A spherical tissue engineered device is being explored. It would be a pellet of radius L containing
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A spherical tissue engineered device is being explored. It would be a pellet of radius L containing insulin-producing cells for use as an implant to treat diabetes. This implant would be cultured in a bath with a constant oxygen concentration of c 0 .
Fick’s 2nd law in spherical coordinates is:
When integrated at steady state, it yields the following equation, with A and B designating the unknown integration constants. (You don’t have to integrate this yourself!)
Using symmetry and the known concentration where the device is in contact with the bath, solve for A and B and show that:
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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