In one embodiment of the invention, a catheter delivery system or kit is disclosed. The kit contains a prosthetic check valve with leaflets cut from filtration screen material with uniform pore size having openings with a dimension inclusively between fifteen and sixty microns. The screen material is made from biocompatible material, such as polyester or polypropylene. One or more outer edges of the leaflet are fused or sealed to prevent fraying of the material and to form a more non-thrombogenic surface. Prosthetic check valves assembled with the leaflets can be collapsed to a diameter of less than or equal to twenty-nine french (29 f), sterilized, and stored in a collapsed state. The compressed or collapsed valve may be sterilized and included as part of a sterile catheter delivery system or kit, ready for minimally invasive implantation without rinsing prior to use.