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Design Criteria for Patient-Specific Mandibular Implant
           used to filter the influence of a certain feature size with a   j   j
           maximum or minimum value (Table 3).                        Z    sd . j ave  wherej   AB BB , CB T   (2)
                                                                                               ,
                                                                                       ,
                                                                                                   ,
                                                                        j
                                                                                                  L
                                                                                              L
                                                                               n 9  Z (  j   Z)
                                                                      SDZ        j 1    100.             (3)
                                                                                  n (  1)
                                                                   Where, sd value is one of the nine segmental bone
                                                               length, width, and height dimensions.
                                                                   The  worst  mandible  structure  case,  that  is,  the
                                                               structural weakest case can be filtered through calculating
                                                               the V and SDZ values. The mandible with the largest V
                                                               value and SDZ value definition <1.0 was the worst case,
                                                               and  their  corresponding  values  were  13.71  and  0.66,
                                                               respectively (Table 3).
                                                               2.2. Design criteria for reconstructed implant
                                                               with large defect segment
                                                               Solid  models  of A,  B,  and  C  regions  according  to  the
                                                               definitions in Table 1 were constructed and divided in
                                                               the CAD system (Creo Parametric v2.0, PTC, Needham,
                                                               MA,  USA)  based  on  the  previously  selected  worst
                                                               mandible  structure.  Large  mandible  defects  including
                                                               single segment C and B and combined A+B segment were
                                                               defined and designed with corresponding reconstructed
                                                               implants according to the following five design points:
                                                               (i) The thickness of the implant shell was set to 0.5 mm;
                                                               (ii) the height of the implant was designed to be 1/2 of
                                                               the height of the bone segment, and the bone graft space
                                                               for  postoperative  prosthesis  is  reserved  at  the  top  for
                                                               subsequent follow-up; (iii) the thickness of the implant
                             M   1              3           was designed to be 2/3 of the bone segment thickness to

                 M=F×LB;        HB   ;  I   TB HB*         allow space for the flap, vascular pedicle, and soft tissue
                                2
                                                             to  pass  through;  (iv)  the  implant  needs  to  be  designed
                                 I            64
           Figure 1. Mandibular occlusion simplified into material mechanics   with an extended side wing with a thickness of 2.8 mm,
           cantilever beam. M, F, LB, TB, and HB are the bending moment,   and  3-5  holes  were  reserved  to  provide  2.4  mm  bone
           occlusal force, bone length, thickness, and height, respectively. The   screws  for  fixation;  and  (v)  the  implant  edges  were
           σ represents the bending stress and I is the second moment inertia.  rounded to prevent sharp edges and corners that damage

           Table 2. Some representative average length, height, thickness, and V values obtained from Equation 1 and indicated safest and worst cases.
            Case no.    AB L     BB L     CB L     AB H     BB H     CB H     AB T     BB T     CB T      V
               1       26.42    48.17    35.82    23.83     30.21    32.61    16.00    11.40    12.92    3.54
               2       39.99    50.18    34.01    33.19     31.97    31.08    16.97    13.49    16.45    1.14
               …         …        …        …        …        …        …        …        …        …       …
              105      33.87    48.71    40.34    25.43     30.42    34.24    12.60    11.28    11.56   17.51
           Worst case                                                                                   13.71
           Safest case                                                                                  -25.74
           Ave.        AB L.ave  BB L.ave  CB L.ave  ABH .ave  BBH .ave  CBH .ave  ABT .ave  BBT .ave  CBT .ave
                       34.53    45.01    36.81    27.71     29.91    30.82    17.74    14.57    15.70
           SD (sd )     4.88     4.61     2.94     3.27     2.44     2.92     2.16     2.59     2.09
                 j



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