This document provides devices and methods for the treatment of heart conditions. For example, this document provides prosthetic heart valves and transcatheter heart valve replacement methods. The prosthetic heart valves can be configured into a low-profile configuration for containment within a small diameter delivery sheath. The prosthetic heart valves include can include a valve member attached to a stent frame. In some embodiments, the valve member is a molded biomaterial with a novel shape and resulting performance characteristics. Localized protective covering members can be attached to the stent frame to prevent the valve member from contacting the stent frame as the valve member cycles between its open and closed configurations.