Controlled drug delivery, diffusion, mathematical model, biomedical engineering
Günther, M.; Bartel, A.; Brunk, M.; Schöps, S.; Striebel, M.
We consider a model for local drug re-distribution in a tissue that incorporates the effects of diffusion and reversible binding with immobile sites within the
tissue. The model tracks the evolution of the concentration in the tissue of free drug,
specifically and non-specifically bound drug, and specific binding sites. We reduce
the model to a scalar nonlinear diffusion equation for the total drug. The model is
used to investigate tissue residence time for strongly bound drugs by considering
a problem with uniform initial drug concentration and perfect sink boundary conditions.
The behaviour predicted by the model has potential implications for the
design of local drug delivery systems if the drug is strongly bound.