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Lin, et al.
                                                               that longer mandibles have higher bending stress (σ) and
                  Patient with                                 are more prone to damage. When calculating the V value,
                 mandible defect
                                                               the height and thickness values should be preceded by a
                                                               negative sign, indicating that σ is negatively correlated
                                                               with HB and TB. A large V value indicates a dangerous
                                                               mandible structure (worst case) because the mandible is
              CT image reconstruction
                  and measuring                                subjected to more bending stress (σ). The V value result
              segmental bone dimension                         was  found  from  the  range  between  13.71  and  −25.74,
                                                               meaning that if the V value of another defected mandible
                                                               falls  in  this  range,  it  can  be  repaired  using  the  design
                                                               criteria proposed in this study.
                                   NO                              Due to the size and position of the internal supporting
                   Calculating           Other surgical approach
                    V value                                    beams for various reconstructed implants, parametrically
                                                               design using the corresponding patient-specific segmental
                        Fall into range of V value             bone thickness, height, and teeth position, patient-specific
                                                               reconstructed  implants  with  lightweight  structure  can
                                                               be obtained directly according to our developed design
               Confirmation of defect
                  bone segment                                 criteria  and  exported  for  AM  (Table  7).  The  internal
                                                               support beam design for segmental reconstructed implant
                                                               C was described in section 2.3. The internal two support
                                                               beams of reconstructed implant B were oblique cylinders
              Internal supporting beam
                                                               and  beam  1  extended  from  the  implant  surface  at  the
               design according to the
                  design criteria                              2  premolar axis to the lingual side with a quarter of the
                                                                nd
                                                               bone height. Beam 2 extended from the end of beam 1
                                                               to the buccal side with the bottom of the implant at the
                                                                     st
                STL file export for                            distal 1  molar margin. In addition, there were four beam
                AM manufacturing
                                                               supporting beams within the reconstructed implant A+B,
                                                               beams 1 and 4 were cylinders from lingual to buccal sides
                                                               with positions at the 2  premolar center with a height of
                                                                                 nd
                                                               (BB /4+a/2) at the intersection of 1/2 AB  and BB /4
                 Clinical surgery                                 H                                RH       H
                                                               axis, respectively. Beams 2 and 3 were oblique cylinders,
           Figure  4.  Flowchart  of  mandibular  defect  reconstruction  in   with  beam  2  extended  from  the  top  surface  turning
           adherence with our design criteria.                 point of the implant at the lingual side to the buccal side
                                                               with the bottom surface of the implant at the axis of the
                                                               2  molar and beam 3 extended from the half of AB  of
                                                                nd
           mechanical  SE  comparison,  this  study  establishes   the top surface of the implant to the buccal side at the
                                                                                                          RH
           an  effective  mandible  image  database  and  identified   implant turning point. Other internal support beam bone
           the  worst  mandible  structural  strength  to  perform   segments for B+C and B+C+B can then be defined using
           segmental  lightweight  structure  optimization  analysis.   a combination of B and C bone segments (Table 7).
           The  segmental  lightweight  structure  can  withstand  the   The  reconstructed  implant  design  based  on  our
           occlusal  force  for  further  dental  implant/prosthesis   criteria  must  consider  the  upper  space  to  allow  further
           considerations.  The  design  criteria  developed  in   bone grafts to have dental implants with prosthesis. The
           this  study  can  be  subsequently  applied  to  the  clinic   thickness must also consider the space for soft-tissue flap.
           according to Figure 4. The patient’s mandible segmental   However, a dental implant with prosthesis still cannot be
           dimension  characteristics  can  be  measured  using  CT   designed and manufactured together in this study because
           images according the definition in Table 1 and obtained   it easily causes bacterial infection if the soft tissue cannot
           the V value through Equation 1. The V value was used   completely cover the metal implant . The dental implant
                                                                                            [22]
           as a simplified value to express the mandible structural   with prosthesis can be planned and printed before surgery
           strength. Its positive and negative values were derived   if  the  contact area  between  the  mucosal  tissue  and  the
           from  the  bending  stress  of  the  mandible.  When  the   metal can be effectively treated antibacterial medicines or
           bending stress (σ) of the cantilever beam was calculated,   the relevant AM material is developed.
           a positive correlation was found between σ and the LB   At present, relevant research that can be used to verify
           of the mandible, and a negative correlation was found   the results of the current study is unavailable. However,
           between HB and TB. The cantilever beam theory proves   there were similar studies on mandibular reconstruction

                                       International Journal of Bioprinting (2022)–Volume 8, Issue 1       149
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