We consider a polymeric spherical platform containing a solid dispersed drug that is
in contact with a solvent fluid. While swelling, a non-Fickian sorption of the solvent molecules occurs
induced by the effect of the viscoelastic properties of the polymer. The solid drug in contact with
the solvent fluid dissolves and a Fickian release of dissolved drug takes place. The fluid entrance, the
drug dissolution, and the drug release to an external environment are described by a system of PDEs
complemented with an equation for the swelling front, initial, and boundary conditions. The model
includes the two major factors that govern a swelling process of a polymeric platform within a release
medium: the cross-link density and the concentration of the external medium. Energy estimates
for the mass of solvent fluid and of undissolved and dissolved drug in the polymeric platform are
established. Numerical simulations that illustrate the theoretical results are also included.
