Abstract: Apparatus, systems, and methods for a medical implant with improved durability and strength. An implant structure having a mesh, wherein struts of the mesh vary in width as a function of length, where one or more segments are defined by one or more corresponding equations that define strut width. Connecting elements may be optionally included and may further optionally vary in width and shape. Strut tapering functions may be one or more segments of piecewise linear equations. Implant mesh structures may be symmetric, asymmetric, or may vary in segments along the length and/or circumference of the mesh. The mesh may be of a self-expanding or balloon expandable material suitable for medical use.

Abstract: A heart valve is disclosed which includes a valve body and a plurality of flexible leaflets coupled to the valve body. The plurality of leaflets has an open position and a closed position. Each of the plurality of leaflets comprises a belly when the plurality of leaflets are in their respective closed positions. The belly of one or more of the plurality of leaflets has a continuous curvature except for a non-continuous portion.

Abstract: A flexible leaflet heart valve includes a base, a peripheral portion and a plurality of leaflets. Each leaflet includes a scalloped free margin having opposite ends and a mid-portion between the opposite ends. The opposite ends are attached to the peripheral portion of the valve at a first height above the base. The mid-portion of each free margin is positioned at a second height above the base, less than the first height. Each free margin is adjacent each other free margin to form a gap therebetween. Each leaflet is of a first thickness and at least a portion of each free margin is of a second thickness, greater than the first thickness. This may include extending the second thickness along the entire free margin between the opposite ends or extending the second thickness only along the mid-portion of the free margin.