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International Journal of Bioprinting                                Property of scaffolds with different lattices




            experiments were performed to investigate the effect of unit   Table 1. The parameters for the three lattice structures
            cell structure on the mechanical and biological properties      Unite   Diameter   Designed   Designed
            of porous titanium alloy scaffolds. This paper also presents   Type of lattice  cell size   of the rod   porosity   pore size
            feedback and theoretical guidance for optimizing the biological   (mm)   (μm)     (%)      (μm)
            and mechanical properties of titanium alloy implants.  CPL       1.18    363       66      600
                                                                Diamond      0.76    200       66      600
            2. Methods and materials                            Cuboctahedron  0.946  245      66      600
            2.1. Design of porous scaffolds with different lattices                 3
            2.1.1. Cubic pentagon lattice                                       D   4 2  a  d 1          (II)
                                                                                        1
                                                                                 1
            The construction of a cubic pentagon consists of eight
            pentagons and four quadrilaterals. These polygons are   In addition, we set the pore size to 600 μm. Each parameter
            interconnected by a spatial structure known as cubic   was computed and displayed in  Table 1. The demand
            pentagon lattice (CPL). The diameter of the connecting rod   models are illustrated in Figure 1B.
            is represented by d . The unit cell was encased in a box with   2.1.2. Diamond lattice structure
                          1
            dimensions a , and the dimensions of the box were defined   The unit cell of the diamond lattice consists of 4 four-
                      1
            as the dimensions of the CPL unit cell. The CPL pore size   rod components. Each four-rod element consists of four
            (D ) was established as the diameter of a ball tangent to   rods with an angle of 109.47° between each pair. The unit
              1
            the CPL (Figure 1A). The relation of the porosity P , d ,   cell was encased in a box with dimensions of a , and the
                                                         1
                                                      1
                                                                                                     2
            and a  was calculated by a fitting technique. As a result, the   dimensions of the box were defined as the dimensions of
                1
            porosity of the unit cell was given as Equation I.  the diamond unit cell. Moreover, the pore size (D ) of the
                                                                                                       2
                                                               unit cell was defined as the diameter of a ball tangent to
                              d  2     d                   the unit cell (Figure 1A). The relationship of the pore size
                   P  290 84   1   55 109   1   102 33  (I)  (D ), size of the unit cell (a ), and diameter of the rod (d )
                                                 .
                           .
                                     .
                    1
                                                                 2
                               a 1      a 1                is expressed in Equation III. 2              2
            If P  is set to 66%, d /a  will be 0.27. The relation between
               1
                              1
                            1
            d , D , and a  can be expressed as (II).                            D   6 a  d              (III)
             1
                1
                      1
                                                                                 2
                                                                                     3  2  2





















            Figure 1. Design of different lattices. (A) Schematic diagram of the construction of the three lattices. (B) 3D models of porous scaffolds were generated
            based on three different unit cell structures.

            Volume 10 Issue 2 (2024)                       209                                doi: 10.36922/ijb.1698
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