Self-expending stents that include circumferential rings of alternatinginterconnected struts connected by flexible connectors.The struts of the rings and flexible connectors have a structure, includingareas of expanded or reduced width or thickness, toaccount for venous applications. When used for venous applications, the stentsconvey benefit from configurations that improveflexibility (due to the greater elasticity of venous applications) whilemaintaining enough stiffness to resist pressure on the venous structurein selected areas (such as for the May-Thurner syndrome). The stents includeparticular structural characteristics ¨ often expressed asratios between different measurements ¨ that are particularly advantageous for(although not limited to) venous applications.