One way to deliver a timed dosage of a drug within the human body is to ingest a

Question

One way to deliver a timed dosage of a drug within the human body is to ingest a capsule and allow it to settle in the gastrointestinal system. Once inside the body, the capsule slowly releases the drug to the body by a diffusion-limited process. A suitable drug carrier is a spherical bead of nontoxic gelatinous material that can pass through the gastrointestinal system without disintegrating. A water soluble drug (solute A) is uniformly dissolved within the gel and has an initial concentration of CAo. The drug loaded within the spherical gel capsule is the source for mass transfer. Consider the limiting case where the drug is immediately consumed or swept away once it reaches the surface (CAs is zero). Draw a process schematic and list all assumptions that you will make to analyze the drug release process. Write the general differential equation(s) of mass transfer as well as Ficks equations and simplify. List the boundary conditions and initial conditions needed to solve the problem. Is this a pseudo-steady state process? Justify your answer.

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