A delivery catheter includes an inner shaft having an atraumatic distal catheter tip. The inner shaft is configured to carry the implant thereon. The catheter tip includes a region that is fixed to the inner shaft and a region that is deformable and not fixed to the inner shaft. An outer shaft surrounds the inner shaft and is displaceable relative thereto. An implant capsule at a distal end of the outer shaft is configured to encase the implant and to release the implant at the target site via relative displacement of the inner and outer shafts. A plunger is axially displaceable with respect to the catheter tip in response to movement of the outer shaft to apply axial compressive force to the catheter tip and deform the region that is deformable and expand that region radially.