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International Journal of Bioprinting                                       3DP PILF cage for osteoporotic



































            Figure 3. The weight topology optimization (WTO) analysis included the lumbar spine subjected to 21.5% for flexion/extension, 33% for bending, and
            24% for axial rotation in the individual topology poetization (middle part). Top right part shows the reserved element after of WTO analysis. Bottom right
            part 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.


            and maximum  structural strengthening characteristics   and P-type forms were designed for the cage superior/
            for an L3 – L4 disc. The WTO objective was to minimize   inferior surface with respect to facilitating the follow-up
            compliance  for  different  load  cases  and  their  associated   biomechanical FE analysis. The CS-type cage curved
            weights . The final WTO result summed the model    surface feature was designed according to the previously
                  [20]
            compliance for all load cases. To simulate active lumbar   obtained endplate morphology (Figure 4).
            spine movement during daily activities, we assumed
            that the lumbar spine would be  subjected to 21.5%  for   2.4. Biomechanical FE analysis
            flexion and extension, 33% for bending, and 24% for   CS- and P-type cages were implanted along the L3 – L4
            axial rotation . The intervertebral disc structure was   disc according to the posterior lumbar interbody fusion
                       [21]
            then obtained through the WTO result, and each element   approach to perform the FE simulations. Two CS-  and
            density was recalculated by summing each of the element   P-type  cage  models  were  also  meshed  using  quadratic
            densities under different loads by multiplying their   ten-node tetrahedral structural solid elements, and
            corresponding weight coefficients, that is, Ei density = (Ei   Ti6Al4V was assigned as the material property for the cage
            dflexion × 0.215) + (Ei dextension × 0.215) + (Ei dbending   (Figure  4  and  Table  1).  Other  material  properties,  load,
            × 0.33) + (Ei dtorsion × 0.24) (Figure 3).         and boundary conditions were the same as in the previous
                                                               FE model generation and validation sections. Maximum
              Where i is the element number, and Ei dflexion, Ei
            dextension,  Ei  dbending  and  Ei  dtorsion,  represent  the   von Mises stresses and stress distribution on the L3
                                                               interior endplate and L4 superior endplate were recorded
            density of the i element under flexion, extension, bending,   for comparison to understand the mechanical responses
            and torsion, respectively.                         between different implant combinations (Figure 4).
              The posterior cage top and side profiles were contoured
            based on the triangular mesh in the transverse and sagittal   2.5. Lattice design, AM fabrication, and in vitro
            planes as suggested by the WTO analysis results to ensure   functional test
            that the vertebral cage maintained sufficient strength under   The CS-type cage internal cavity was filled with an array
            physiological loads. The cage was simplified into a “banana”   arranged in a gyroid lattice provided in Creo CAD software,
            25 mm in length, 16 mm in width, and 16.2 mm/12 mm in   designed as a spiral structure with 0.25 mm wall thickness
            anterior/posterior height (Figures 3 and 4). Two CS-type   for accepting cell clustering in a 4 mm  unit cube. The
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            Volume 9 Issue 3 (2023)                        414                         https://doi.org/10.18063/ijb.697
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