It is well known that, across all populations (based on geographic location, race, ethnicity, age, and sex), coronary artery disease (CAD) is the single most common cause of death. The commonly performed revascularization procedures for the treatment of symptomatic CAD are percutaneous transluminal coronary angioplasty (PTCA) by itself or followed by the deployment of either a bare-metal stent (BMS) or a drug-eluting stent (DES). In the latter type, a drug that is either embedded in polymeric or nonpolymeric coating(s) on the stent surface or directly attached to the stent surface elutes into the blood stream at a controlled rate over a period of time, typically 14-30 days. Over the years, there has been a steady decline in the use of PTCA and a concomitant sharp increase in the use of stents, with DESs being the predominant choice in the last 3 years. The present contribution represents a critical review of the literature on the materials, fluid dynamics, and solid mechanics aspects of both BMSs and DESs, with special reference to in-stent restenosis and in-stent thrombosis, these being risks that present commonly.