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International Journal of Bioprinting                                       3DP PILF cage for osteoporotic


            Corp., Kyoto, Japan) (Figure 5B and C). The yielding load,   Table 2. The average subsidence for L2 – L5 superior and
            stiffness, and fracture pattern were recorded. The torsion   inferior endplates at 25%, 50%, and 75% of the length at the
            was tested at a rate of 60°/min with a downward preload   coronal and sagittal planes, respectively
            of 500 N until the cage was destroyed or the maximum   Endplate  Coronal plane (mm)  Sagittal plane (mm)
            torque value was reduced by 20% (Figure 5D). The yielding
            torque, stiffness, and damage were also recorded.             25%   50%   75%    25%   50%    75%
                                                               L2 superior   1.30   1.85   1.30   2.12   1.85   1.79
            3. Results                                         L2 inferior  1.71   1.83   1.71   1.58   1.83   1.94
            Table 2 shows the average subsidence for L2 – L5 superior   L3 superior   1.17   1.45   1.17   1.43   1.45   1.59
            and inferior endplates at 25%, 50%, and 75% of the length   L3 inferior  2.21   2.33   2.21   1.84   2.33   2.09
            at the coronal and sagittal planes, respectively, for a total of   L4 superior   1.60   1.70   1.60   1.61   1.70   1.76
            20 osteoporosis patients with HU values between 70 and   L4 inferior  3.18   3.20   3.18   1.55   3.20   1.97
            120. The constructed FE model was designed to simplify   L5 superior   1.54   1.47   1.54   1.08   1.47   1.77
            the sagittal plane into a symmetrical plane. Subsidence   L5 inferior  2.97   2.99   2.97   1.59   2.99   2.30
            of 25% and 75% of the length at the coronal plane were
            presented with the same value. Relevant data were input to
            reconstruct the FE model endplate. At the L3/L4 disk where   A
            the cage was placed, subsidence of 50% in the coronal and
            sagittal planes was 2.33 mm for L3 inferior endplate and
            1.70 mm for L4 superior endplate (Figures 1 and 2, Table 2).
              The middle part of Figure 3 shows the analysis results
            from the L3/L4 intervertebral disc topology optimization
            under a single load. The gray triangular grid position is the
            place where the structure must be reserved. The bottom
            right part of  Figure  3 shows that the shape of a single
            posterior cage can be projected from the contours of half
            of the transverse cross-section plane and the sagittal plane.
            Figure 4 shows the size and implantation positions for the
            CS- and P-type cages designed in this study. The bottom   B
            right part of this figure also shows the FE mesh models for
            these two cages.
              The biomechanical FE analysis result showed that the
            maximum stress values at the L3 inferior and L4 superior
            endplates under flexion, extension, lateral bending, and
            torsion for the P-type cage implantation model were
            all higher than those for the CS-type cage (Figure  6).
            Fracture  or cracking  might occur for  the P-type  cage
            implantation because the maximum stresses found    Figure 6. The maximum stress values of CS-type and P-type cages at the
            in the endplates exceeded the ultimate strength value   L3 inferior (A) and L4 superior (B) endplates under flexion, extension,
            when the inferior part of L3 was subjected to flexion and   lateral bending, and torsion.
            torsion loads, and the superior part of L4 was subjected
            to flexion and bending loads. Figure 7 showed the stress   4. Discussion
            distribution for the L3 inferior and L4 superior endplates
            under all load conditions for the CS-type and P-type cage   The FE analysis result found that the maximum stresses
            implantations.                                     in the superior and inferior endplates using the P-type
                                                               cage were relatively high regardless of the type of load
              Table 3 lists the yielding load and stiffness of our   conditions, and the stress concentration was also relatively
            designed CS-type cage and the optional ISO 23089 standard   serious. Figure 9 shows the contact status of the two cages
            acceptance criteria under compression, compression-  and endplates, which can explains why the P-type cage
            shear, and torsion.  Figure  8 shows the corresponding   and endplate can easily cause point contact that obviously
            fracture types under three load conditions.        generates stress concentration. The CS-type cage and


            Volume 9 Issue 3 (2023)                        416                         https://doi.org/10.18063/ijb.697
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