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Schiavone et al.                                                                                                                                                           Modelling of metallic and polymeric stents

           levels of  non-physiologic stresses  provoked a  more   over the scaffolded vessel segments. [34]
           aggressive pathobiological  response of  the vessel
                                                                                                            [35]
           walls, leading to a higher degree of neointimal formation.   Residual stresses in stents were studied by Möller et al.
           In-vitro studies have also proved that mechanical   using  X-ray  diffraction  method. Their  work  confirmed
           stresses regulated the proliferation  and migration of   that even for as-produced stents, a significant amount
           vascular cells,  and the synthesis and reorganization   of microstresses can be developed in the stent during
                        [32]
           of extracellular matrix.  Stent-induced vessel stresses   crimping  (this is also the case found in our work).
                              [33]
           are closely linked with the level of artery injury, also   Subsequent stent expansion  caused an increase of
           promoting  the development  of restenosis. From this   stress due to tension. According to their study, the level
           study, it is clear that the stresses in the artery appear to   of stresses introduced by crimping and expansion can
           be largely affected by the stent materials and designs.   considerably affect the fatigue life of the stent. Based
           PLLA has lower modulus,  yield  strength and  strain   on our results, crimping and expansion processes were
           hardening, which soothed the stent-artery interaction   found to induce comparable levels of stresses in the
           and led to stress reduction in vessel layers as shown   stent struts. Also, residual stresses developed during
           in Figure 10. This is clinically beneficial. Bioresorbable   crimping  affected the expansion  behaviour, though
           polymeric stents are also more compliant than metallic   only slightly, of stent in the deployment step. It is also
           stents,  diminishing  associated vascular responses   thought that residual stresses in the stent contributed to
                                                              the flexibility of the device, thus imposing less stresses
                                                              on the plaque during further deformation as confirmed
                                                              by our simulation results, although only marginally.
                                                              The targeted vessel diameter  (i.e. 3 mm) could  not
                                                              be achieved  by stent expansion  only.  This is the
                                                              case for both polymer and metallic stents. Firstly,
                                                              it was due to the saturated expansion  of the artery
                                                              layers, developed at a later stage of vessel stretching.
                                                              This happened  when  the stiffness of vessel layers,
                                                              especially  the intima  layer, increased  steeply  upon
                                                              large stretch [Figure 4]. Secondly, vessel layers were
                                                              assumed to deform purely elastically which imposed
                                                              a  large recovery force  on the  expanded stent  after
                                                              balloon deflation. Generally, the expansion of polymer
                                                              stent was slower  than that of metallic  stent. Higher
                                                              recoiling was also observed for polymeric stent due to
                                                              the weaker mechanical properties. This indicates that
                                                              there is a challenge to use polymer stents to achieve
                                                              desired lumen  diameter,  especially  for  patients with
                                                              stiffer artery and heavily calcified plaques. However, it
                                                              is recognised that polymer stent induced significantly
                                                              lower stresses in the artery than metallic stents, which
                                                              could reduce the occurrence of arterial injuries and in-
                                                              stent restenosis.
           Figure 13: (A) Diameter change against pressure; and (B) recoiling
           and dogboning effects obtained from simulations with and without
           considering crimping-caused residual stresses on Xience stent  In clinical  practice, most stents are  post-dilated  with














           Figure 14: (A) von Mises stress on the Xience stent; and (B) maximum principal stress on the artery-plaque system for simulation with (left)
           and without (right) considering residual stresses
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