A prosthetic valve structure, in a collapsed state thereof, is transcatheterally advanced toward a native valve of a subject, the native valve including native leaflets, and the prosthetic valve structure including prosthetic leaflets. An annular portion of the prosthetic valve structure is positioned between the native leaflets. Subsequently, the prosthetic valve structure is rotated such that curved anchors of the prosthetic valve structure gather the native chordae tendineae of the heart between the anchors and the annular portion.
