A tubular prosthesis comprises a plurality of strands integrated into an integrated structure (18, 92, 100, 114) including resilient and ductile structural strands (32, 94, 102, 112) formed of a structural material, each structural strand tending to assume a nominal shape when in a relaxed state subject to no external stress, being elastically deformable away from the nominal shape, and further being plastically deformable responsive to application of a force to the structural strand exceeding a yield stress of the structural material, being thereby adapted to acquire a curved selected nominal shape in lieu of an original nominal shape. The structural strands (32, 94, 102, 112), are plastically deformed before they are integrated into the integrated structure and thereby are altered to have respective curved selected nominal shapes, and further are selectively oriented within the integrated structure to impart to the integrated structure a tubular nominal configuration corresponding to said curved selected nominal strand shapes.