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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

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.

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1. A method for treating mitral valve regurgitation, comprising: delivering through a catheter and into a ventricle of a heart, a band including a proximal coupling element;inserting the band around between 90 and 270 degrees of a mitral valve, including around at least a portion of a posterior cusp

1. A method for treating mitral valve regurgitation, comprising: delivering through a catheter and into a ventricle of a heart, a band including a proximal coupling element;inserting the band around between 90 and 270 degrees of a mitral valve, including around at least a portion of a posterior cusp of the valve, in a space defined by (a) a ventricular wall, (b) a ventricular surface of the posterior cusp in a vicinity of an annulus of the valve, and (c) a plurality of third-order chordae tendineae, wherein the inserting comprises placing the band in a manner in which, during the placing, the band assumes a curved shape and conforms to the shape of the annulus; andcoupling a distal end and a proximal end of the band 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, and a first-order chorda tendinea that inserts on a commissural cusp of the mitral valve, wherein coupling comprises: after the coupling of the distal end of the band to the first chorda tendinea, sliding the proximal coupling element along the band until the band has a desired length between the distal end and the proximal coupling element;locking the proximal coupling element to the band, wherein: a portion of the band in a vicinity of the proximal end includes a first set of teeth,an interior surface of the proximal coupling element includes a second set of teeth,the teeth are configured to allow distal advancement of the proximal coupling element along the band, and to not allow proximal retraction of the proximal coupling element along the band, andlocking the proximal coupling element comprises advancing the proximal coupling element until the band has the desired length; andfollowing the locking of the proximal coupling element to the band, coupling the proximal coupling element to the second chorda tendinae. 2. The method according to claim 1, wherein each of the first and second chordae tendineae includes one of the plurality of third-order chordae tendineae, and wherein coupling comprises coupling the distal and proximal ends of the band to the respective ones of the plurality of third-order chordae tendineae. 3. The method according to claim 1, wherein coupling comprises tightening the annulus of the valve. 4. The method according to claim 1, wherein coupling comprises coupling the ends of the band to the first and second chordae tendineae such that the band applies pressure to the posterior cusp. 5. The method according to claim 1, wherein coupling comprises coupling the ends of the band to the first and second chordae tendineae such that the band applies substantially no pressure to an anterior cusp of the valve. 6. The method according to claim 1, wherein coupling comprises coupling the ends of the band to the first and second chordae tendineae such that the band does not squeeze an anterior cusp of the valve and the posterior cusp together. 7. The method according to claim 1, wherein coupling comprises hooking the proximal and distal ends to the first and second chordae tendineae, respectively. 8. The method according to claim 1, wherein the band is generally elliptical in cross-section, and wherein inserting the band comprises inserting the band that is generally elliptical in cross-section. 9. The method according to claim 1, wherein the band is flat, and wherein inserting the band comprises inserting the flat band. 10. The method according to claim 1, wherein inserting comprises inserting the band via an ascending aorta. 11. The method according to claim 1, wherein the band includes at least one sensor selected from the group consisting of: a wireless position sensor, and a navigation sensor, and wherein inserting comprises inserting the band at least in part responsively to a signal generated by the sensor. 12. The method according to claim 1, wherein inserting comprises steering the band. 13. The method according to claim 1, wherein the band includes a shape memory alloy, and wherein the shape memory alloy causes the band to assume a curved shape during the inserting. 14. The method according to claim 1, wherein the band includes a tension element, adapted to shorten a length of the band, and wherein coupling the band comprises coupling the band including the tension element. 15. The method according to claim 1, wherein at least a portion of the band includes an elastic material, adapted to shorten a length of the band, and wherein coupling the band comprises coupling the band including the elastic material. 16. The method according to claim 1, wherein the band is coated with a substance selected from the group consisting of: a drug, and a radiopaque coating, and wherein inserting the band comprises inserting the coated band. 17. The method according to claim 1, wherein inserting comprises inserting the band around no portion of an anterior cusp of the valve. 18. The method according to claim 1, wherein inserting comprises inserting the band such that a first portion of the band surrounds the at least the portion of the posterior cusp and a second portion of the band surrounds at least a portion of an anterior cusp of the valve, and wherein a length of the first portion of the band that surrounds the at least the portion of the posterior cusp is at least 5 times a total length of the second portion of the band that surrounds the at least the portion of the anterior cusp of the valve. 19. The method according to claim 1, wherein the band includes a distal stop and a distal coupling element, and wherein coupling the distal end of the band to the first chorda tendinea comprises: advancing the band until the distal stop reaches a vicinity of the first chorda tendinea;advancing the distal coupling element over the band until the distal coupling element reaches the distal stop; andcoupling the distal coupling element to the first chorda tendinea. 20. The method according to claim 1, wherein the band includes a plurality of bands, and wherein inserting the band comprises inserting the plurality of bands in series around between 90 and 270 degrees of the mitral valve. 21. The method according to claim 1, wherein coupling comprises, after locking the proximal coupling element, clipping a portion of the band proximal to the proximal coupling element. 22. The method according to claim 1, wherein coupling comprises, after locking the proximal coupling element, releasing the band from an elongated insertion element, and withdrawing the insertion element from the heart. 23. The method according to claim 1, wherein locking the proximal coupling element comprises crimping the proximal coupling element to the band. 24. The method according to claim 23, wherein a portion of the band in a vicinity of the proximal end includes a first set of teeth,wherein an interior surface of the proximal coupling element includes a second set of teeth, andwherein crimping comprises crimping at least a portion of the second set of teeth to at least a portion of the first set of teeth. 25. The method according to claim 1, wherein the band is shaped so as to define one or more indentations therein, wherein the proximal coupling element includes a tension clip, and wherein locking the proximal coupling element comprises causing the tension clip to engage at least one of the indentations.