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We derive a mixture theory-based mathematical model of the degradation of aporoelastic solid immersed in a fluid bath. The evolution of the solid'smechanical and transport properties are also modeled. The inspiration for themodel is the study of the temporal evolution of biodegradable Tissue EngineeredNerve Guides (TENGs), which are surgical implants supporting the alignment andre-growth of damaged nerves. The model comprises of the degrading solid, thedegradation reaction products, and the fluid in which the solid is immersed.The weak formulation of the partial differential equations (PDEs) so derived isnumerically implemented using a Finite Element Method (FEM). The numericalmodel is studied for stability and convergence rates using the Method ofManufactured Solutions.

A mixture theory-based finite element formulation for the study of biodegradation of poroelastic scaffolds