extend radially outwardly from the catheter shaft 210 a and taper in a direction opposite the taper of the delivery head 220 a the projections 216 a are resiliently mounted to the catheter shaft 210 a and are biased towards the tapered orientation shown for example by spring biased projections 216 b shown in fig6 b the projections 216 a include springs 278 e g torsion springs as shown mounted to the catheter shaft 210 a and forming a resilient connection a wire 238 a slides within a lumen 236 a of the shaft 210 a in a manner similar to the one described earlier the tool 200 a also includes a sheath 280 in which the catheter shaft 210 a can slide during placement of the support the sheath 280 the catheter shaft 210 a and the wire 238 a are all flexible along their lengths to allow the tool 200 a to be deflected and articulated along a blood vessel to reach the heart to delivery the support percutaneously as shown in fig7 a when the delivery head is prepared for use the sheath 280 is retracted beyond the projections 216 a allowing the delivery head 220 a to expand the valve support 100 is then expanded to the delivery configuration and mounted on the tapered body 222 a the valve support 100 is connected to the delivery head 220 a using releasable connections e g breakable sutures and or retaining elements as described earlier the sheath 280 is then moved along the catheter shaft 210 a towards the delivery head 220 causing the projections 216 a.