  In this work I show how a diffusion-advection equation in three
space-dimensions may have its advection term weakly limited to a velocity field
localized to a moving curve. This is rigorously accomplished through the
technique of concentrated capacity, and the form of the concentrated capacity
limit along with small time existence of solutions is determined. This problem
is motivated by mathematical biology and the study of proteins in solvent where
the latter is modeled as a diffusing quantity and the protein is taken to be a
1d object which advects the solvent by contact and its own motion. This work
introduces a novel PDE's framework for that interaction.
