A device for treating disease along a main vessel and at least one branch vessel extending from the main vessel includes a branch member for deployment in the branch vessel, the branch member having a branch lumen； and a main body for deployment in the main vessel. The main body has a generally tubular wall extending generally longitudinally between opposite first and second ends. The wall has an internal surface defining a main lumen and an opposite outer surface. The wall has a recessed portion that is recessed relative to the outer surface of the wall and positioned between the first and second ends of the main body. The main body has an opening formed in the recessed portion of the wall for receiving the branch member therethrough such that the branch lumen is in fluid communication with the main lumen.主血管と主血管から延びる少なくとも一つの分岐血管に沿う疾患を治療するためのデバイス（１０）は、分岐血管に展開される分岐管腔を有する分岐部材（２００，２０２）と；主血管に展開される本体（１００）を含む。本体は、対向する第１端及び第２端の間で略長手方向に延びる略管状の壁（１０６）を有する。壁は、主管腔を画定する内側表面と、それに背中合わせの外側表面を有する。壁は、壁の外側表面に対して凹んだ、本体の第１端及び第２端の間に位置している凹み部分（１２０）を有する。本体は、分岐管腔が主管腔と流体的に連通する形で分岐部材を受け入れるための壁の凹み部分に形成された開口（１３０）を有する。
