Apparatus (20) is provided for treating
mitral valve regurgitation, including a band (30) having distal and proximal ends, the band (30) adapted to be placed: around between 90 and 270 degrees of a
mitral valve (58), including around at least a portion of a posterior cusp (56) of the valve (58), in a space defined by (a) a
ventricular wall (70), (b) a ventricular surface of the posterior cusp (56) in a vicinity of an annulus (60) of the
mitral valve (58), and (c) a plurality of third-order
chordae tendineae (74). The apparatus (20) further includes distal and proximal
coupling elements (32, 34), coupled to the band (30) at the distal and proximal ends thereof, respectively, and adapted to be coupled to a first chorda tendinea and a second chorda tendinea, respectively, each of the first and second
chordae tendineae selected from the group consisting of: one of the plurality of third-order
chordae tendineae (74), and a first-order chorda tendinea that inserts on a commissural cusp (78) of the mitral valve (58). Additional embodiments are also described.