A lubricated tubular graft is implanted in the inferior vena cava and the superior vena cava in order to control the inflow of blood to the right atrium. A bifurcated leg with a non-collapsing stent extends across the tricuspid valve. A bioprosthetic valve is positioned proximal of the stent in the bifurcated leg in order to regulate flow through the tricuspid valve and to eliminate tricuspid regurgitation.