A prosthetic heart valve including a stent frame and a valve structure. The valve structure is disposed within a lumen of the stent frame. The stent frame is configured to self-expand from a compressed condition for transluminal delivery. The stent frame has a lattice structure forming a tubular shape defining a circumference and a plurality of closed cells arranged to define a band exhibiting a variable radial stiffness. The prosthesis can be deployed such that the band applies a minimal force on to anatomical locations relating to the heart's conductive pathways. A region of the band otherwise having low radial stiffness is located at or over a conductive pathway upon final implant.