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International Journal of Bioprinting                                Continuous gradient TPMS bone scaffold


























                     Figure 10. Comparison of mechanical properties of different TPMS structures: (a) elastic modulus and (b) ultimate strength.


            with an increase in the periodic parameter ω, and there is   4. Optimization of Gyroid bone-like
            no extreme value, making it challenging to determine the   scaffold structure
            range of the periodic parameters.
                                                               Through the analysis of mechanical properties and
            3.3. Permeability of continuous gradient           permeability of various continuous gradient TPMS
            TPMS structure                                     structures, the results indicate that the  G-type gradient
            To identify a more suitable bone scaffold structure for   structure exhibits favorable mechanical properties and
            the human body, the study focused on investigating the   permeability,  making  it more  suitable  for constructing
            permeability of TPMS porous structures with various   bone-like structures and promoting bone tissue repair.
            continuous gradients. Figure 11 displays the flow velocity   However, further optimization design is required to ensure
            of different structures and the fluid streamlines from the   a better fit between the continuous gradient TPMS structure
            side of each bracket and the outlet. These streamlines   and the structure of the human femur. The structure of the
            effectively highlight the trajectory of cells or nutrient fluids   human femur is depicted in Figure 13, which shows the
            passing through the bone implant, enabling the analysis   continuous change in radial porosity, gradually increasing
            of the interaction between the bone implant structure and   from the outside to the inside. Additionally, the main force
            cells and nutrient fluids that facilitate bone regeneration.   acting on the femur is longitudinal. To achieve a continuous
            From the figure, it is evident that the streamline trajectory   gradient TPMS structure with good permeability and
            in the G gradient structure follows a spiral path, whereas   mechanical properties, a function can be assigned to the
            the  streamline  trajectory  in  the P  gradient structure  is   periodic parameter ω, with a restriction of floating around
            almost linear. The spiral trajectory facilitates full contact   ω = 3. This enables the realization of parametric control
            between cells or nutrient solutions and the bone scaffold,   over the continuous gradient TPMS bone-like structure.
            which is beneficial for bone repair. Figure 12 exhibits the   To achieve a radial increase in porosity while
            permeability of different structural models. The highest   maintaining a constant relative density, the cell size can
            permeability is observed in G_II, measuring 2.80 × 10 -8   be adjusted. This involves changing the parameters of the
            mm , while the lowest permeability is found in P_III,   control period to establish a specific functional relationship.
               2
            measuring 5.20 × 10 mm .
                            -9
                                 2
                                                               The new functional relation is denoted as Equation XII:
               Based on the analysis of permeability, it is evident
            that the permeability of G gradient porous structure first              (, x yz,)  x
                                                                                  x

            increases and then decreases with the increase of periodic              (, x yz,)  y    (XII)
                                                                                  y
            parameters. As for the P gradient porous structure, its                    z
            permeability gradually decreases. In comparison, G_II                 z  (, x yz,)
            and P_III  possess similar mechanical  properties,  but   In order to create a continuous gradient TPMS
            G_II boasts the best permeability, aligning well with the   structure, the following conditions must be met:
            characteristics of bone. Consequently, it holds immense                                      (XIII)
            potential for practical applications.                              d   d  d z
                                                                                       y
                                                                                  x
            Volume 10 Issue 2 (2024)                       322                                doi: 10.36922/ijb.2306
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