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International Journal of Bioprinting                                  Different modeling of porous scaffolds




            1. Introduction                                       The triply periodic minimal surface (TPMS) structure is
                                                               a lattice arrangement characterized by a zero mean radius
            Titanium and its alloys are known for their excellent   of curvature.  It exhibits notable features, including high
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            strength, corrosion resistance, and biocompatibility,   specific strength and enhanced permeability, 17,18  and is
            making them widely utilized in the treatment of various   widely used in energy absorption,  porous electrodes,  heat
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            medical  conditions,  such  as  orthopedics,  cardiovascular   exchangers,  porous filters, and other fields.  In addition,
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            surgery, and dental procedures.  However, the commonly   the structural parameters (such as cell type, pore size, and
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            used Ti alloy such as TC4 alloy possesses an elastic   porosity) of the minimal surface can be adjusted by digital
            modulus as high as 110 GPa, which significantly exceeds   modeling to achieve the regulation of the mechanical
            the 0.3–30 GPa range of the human bone’s modulus.                                      23       24
            The prolonged presence of the alloy in the human body   properties of the tissue engineering scaffold.  Lv et al.
            can lead to the “stress shielding” effect, causing atrophy   investigated scaffolds with different pore sizes (500, 750, and
            in the surrounding tissues due to the lack of mechanical   900 μm) using the G unit as the basic structure, and found
            stimulation and resulting in the instability of hard tissue   that the scaffolds exhibited an elastic modulus ranging from
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            interfaces.  Therefore, reducing the modulus of titanium   0.80  to  1.05  GPa  with high  ductility  (15.3–19.1%).  The
            alloy implants and improving the adaptation of mechanical   strength of scaffolds was significantly influenced by pore size,
            properties are the key problems waiting to be addressed.  with the 750 μm pore size exhibiting the highest strength.
                                                               Ma et al.  explored the impact of varying porosities (75.1–
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               The porous structure design can reduce the amount   88.8%) on the mechanical and permeability properties of
            of material used, improve the deformation of the implant   scaffolds, and found that the modulus and strength of
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            when loaded, and reduce the modulus of elasticity.    scaffold ranged from 0.31 to 1.12 GPa and 6.93 to 29.15
            Additionally, interconnected porous structures promote   MPa, respectively, with mechanical performance decreasing
            cell adhesion, proliferation, and differentiation.  The   as  porosity  increased.  Permeability  ranged  from  0.29  to
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            preparation process of porous titanium structures has   3.91 × 10 m , increasing with greater pore size and porosity.
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            a bearing on the excellent properties in the structures   In addition to adjusting the cell and porosity, the researchers
            produced. With the continuous upgrading of processing   took full advantage of the digital tuning of the minimal
            technology, the technologies employed in the preparation   surface structure to obtain the bionic porous gradient
            approaches of medical porous titanium alloys have   porous structure. Ma et al.  discretized the original model
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            underwent tremendous transition, encompassing powder   using a conformal refinement of all-hexahedral meshes
            sintering method,  porogen methods,  fiber weaving,  and   and mapped the TPMS cells onto the mesh elements with
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            gel injection molding.  The rise of additive manufacturing   the help of shape functions. The finite element simulation
            technology has facilitated the gradual development of   results show that the mechanical properties of the improved
            structure and properties of porous titanium alloy implants   scaffold model exhibit anisotropy, with improved elasticity,
            in terms of complexity and precision control. Selective   strength,  and  especially  energy  absorption.  Yang  et  al.
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            laser melting (SLM) is a widely used method in additive   utilized the sigmoid function (SF) method and the Gaussian
            manufacturing of metallic materials. This process involves   radial basis  function  (GRBF)  method to  place the TPMS
            slicing the three-dimensional (3D) model to obtain the   cells on a given 3D subspace and make a perfect transition
            shape of each section, followed by path planning. The   with their neighboring substructures in the scaffold domain
            laser or nozzle scanning path is then passed to the control   to achieve the fusion of different cells.
            system, allowing for the “free manufacturing” of the part by
            sintering or extruding the material.  In the SLM process,   Besides pore size, porosity, and gradient distribution,
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            parameters such as laser power and scan rate have an   differences between the modeling strategies can also
            impact on the microstructure and mechanical properties of   have  an impact  on  porous  structural  changes,  such  as
            the sample. When dealing with complex porous structures,   on the human spine, which serves as a critical support
            the spot diameter and powder properties directly influence   structure. The interior of spinal joints features a filled
            the surface quality of the material. 12-14  This technology has   porous structure (see  Figure 1A), ensuring load-bearing
            led to the development of systematic modeling approaches,   capability in the vertical direction. Additionally, leg bones,
            including computer-aided design (CAD)-assisted design,   as  one  of  the  largest and  longest  bones  in  the  human
            topology optimization, medical image-based reverse   body (see Figure 1B), have thicker cortical bone sections
            modeling, and digital design.  Among these digital   on the periphery to bear loads, while the interior evolves
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            modeling  methods,  minimal  surface  structures  have   into a hollow structure to reduce modulus and provide
            gained extensive attention from researchers due to their   cushioning and shock absorption. It is reasonable to infer
            continuous inter-unit transition, substantial surface area,   that, based on minimal surface structures and employing
            and controllable characteristics.                  different modeling methods, it is possible to enhance their

            Volume 10 Issue 3 (2024)                       427                                doi: 10.36922/ijb.2565
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