A device (100; 400; 600) comprising: an elongate tubular body for use in a body lumen, the body lumen comprising a constriction portion that regulates flow between a first flow path and a second flow path; a stent (110, 130; 410, 430; 610, 630, 650, 660) having a proximal end and a distal end, the stent (110, 130; 410, 430; 610, 630, 650, 660) being one of a plurality of stents including a proximal stent (110; 410; 620, 650) and a distal stent (130; 430; 630, 660); a sleeve (125; 425; 625, 655) having a length related to an axial length of the constriction portion, the sleeve (125; 425; 625, 655) being coupled to the stent (110, 130; 410, 430; 610, 630, 650, 660) such that the proximal stent is coupled to a proximal end of the sleeve (125; 425; 625, 655) and the distal stent is coupled to a distal end of the sleeve (125; 425; 625, 655), wherein the sleeve (125; 425; 625, 655) is formed of a flexible membrane, and wherein the sleeve (125; 425; 625, 655) is configured to move in coordination with the constriction portion to conform to a constricted configuration where flow through the sleeve (125; 425; 625, 655) is restricted and an expanded configuration where flow through the sleeve (125; 425; 625, 655) is enabled; wherein the stent (110, 130; 410, 430; 610, 630, 650, 660) and the sleeve (125; 425; 625, 655) together provide a flow path through the elongate tubular body; and wherein the device (100; 400) is configured to be positioned within a body lumen with one or both of the proximal stent (110; 410; 620, 650) or distal stent (130; 430; 630, 660) disposed at a target treatment site and the flexible sleeve (125; 425; 625, 655) disposed across the constriction portion of the body lumen. an elongate tubular body for use in a body lumen, the body lumen comprising a constriction portion that regulates flow between a first flow path and a second flow path; a stent (110, 130; 410, 430; 610, 630, 650, 660) having a proximal end and a distal end, the stent (110, 130; 410, 430; 610, 630, 650, 660) being one of a plurality of stents including a proximal stent (110; 410; 620, 650) and a distal stent (130; 430; 630, 660); a sleeve (125; 425; 625, 655) having a length related to an axial length of the constriction portion, the sleeve (125; 425; 625, 655) being coupled to the stent (110, 130; 410, 430; 610, 630, 650, 660) such that the proximal stent is coupled to a proximal end of the sleeve (125; 425; 625, 655) and the distal stent is coupled to a distal end of the sleeve (125; 425; 625, 655), wherein the sleeve (125; 425; 625, 655) is formed of a flexible membrane, and wherein the sleeve (125; 425; 625, 655) is configured to move in coordination with the constriction portion to conform to a constricted configuration where flow through the sleeve (125; 425; 625, 655) is restricted and an expanded configuration where flow through the sleeve (125; 425; 625, 655) is enabled; wherein the stent (110, 130; 410, 430; 610, 630, 650, 660) and the sleeve (125; 425; 625, 655) together provide a flow path through the elongate tubular body; and wherein the device (100; 400) is configured to be positioned within a body lumen with one or both of the proximal stent (110; 410; 620, 650) or distal stent (130; 430; 630, 660) disposed at a target treatment site and the flexible sleeve (125; 425; 625, 655) disposed across the constriction portion of the body lumen.