Hello,
Interesting project you’ve chosen. Could you elaborate on what you mean by conduit?
If it’s what I think it is: a small pathway that will deliver the drug to the specific locations at a desired rate, then I’ll also assume that it has to be permeable at some point. But that will depend on if it is end point (just a tube that provides the medicine) or a semi-permeable membrane that will slowly deliver the drug.
End point would be easier, since you could just have a constant influx of medicine in one spot and attempt to model the diffusion of it in the skin using some sort of Stokes-Einstein diffusion equation where the ‘tissue’ has some average diffusion constant. You would have to convert it to a spherical coordinate system with a little bit of calculus (or you could just look up the right answer) but it’s certainly possible.
The semi-permeable version is a little more elegant, giving a more full delivery of the medicine using only a single ‘conduit’, but the concentration of the medicine will decrease over time. Luckily that should be an easy variable to integrate into your system. This version would require converting to a cylindrical coordinate system, but like I said before: the information is already out there. Constructing it, may be more difficult.
Not sure if I helped.
-SG