We describe techniques that we developed previously in studies of biodegradation of polymeric compounds. We present some experimental results concerning biodegradation of polyethylene. We introduce a mathematical model that govern the evolution of the weight distribution, and show how its inverse problem can be analyzed. We also introduce a mathematical model that governs the evolution of the weight distribution of polymeric compound subjected to enzymatic degradation, and present some numerical results concerning enzymatic degradation of polyvinyl alcohol.