A tricuspid valve apparatus may include a frame and an associated neo-prosthetic valve. The frame acts as a stabilizing structure that extends cephalad into the morphologic or functional right atrium (upstream) and caudally into the morphologic or functional right ventricle (downstream). The frame comprises a strutted atrial dome that conforms to the atrium without obstruction of blood flow from the incoming great veins (i.e. superior vena cava and inferior vena cava) or other anomalous veins and/or tributaries. The frame further comprises ventricular struts to be placed within the right ventricle to secure the neo-prosthetic valve in a desired position. The assembly of the frame and valve is collapsible so that prior to deployment the assembly is placed in a vascular catheter, and then self-expands upon release in the heart.