A bifurcated catheter assembly has an undeployed state and a deployed state. The assembly comprises a bifurcated inflation shaft defining a shaft inner lumen, a first balloon defining a first balloon lumen, and a second balloon defining a second balloon lumen. The inflation shaft has a first inflation shaft defining a first lumen and a second inflation shaft defining a second lumen. The first balloon defines a first balloon lumen which is in fluid communication with the first lumen. The second balloon defines a second balloon lumen which is in fluid communication with the second lumen. The second balloon has a conical shape.
