Abstract: The invention is directed to a balloon catheter comprising, in addition to one or more balloons and one or more inflating/deflating conduits having a novel design which enables a predetermined sequence of inflation/deflation of a number of balloons via a single lumen. The invention is also directed to an indwelling device for direct organ (renal) perfusion to be harnessed to a standard single lumen pump drive. The invention is also directed to perfusion of a side branch vessel (e.g. renal artery) from a main branch vessel (e.g. aorta) with minimal risk of obstructing the target vessel.