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International Journal of Bioprinting              Design and biomechanical analysis of porous tantalum prostheses



            disease. Porous tantalum has been widely used in primary   effectiveness of the prosthesis. Frost  and Cowin  found
                                                                                                      [20]
                                                                                           [19]
            and revision joint replacement surgery for more than 20   that human physiological strain (400–3000 με) is beneficial
            years, yet the clinical design of patient-specific porous   to bone tissue’s growth. Lower strain (<50–100 με) leads
            tantalum prostheses has rarely been reported. In this work,   to bone resorption and higher strain (>3000 με) may
            we designed a patient-specific porous tantalum prosthesis   damage bone tissue. Therefore, in this work, a Young’s
            from the viewpoint of biomechanics with the help of FEA.   modulus promising a tibia strain of 400–3000 με can be
            The designed prosthesis geometrically and biomechanically   regarded to satisfy the biomechanical effectiveness. Third,
            matches well with the defected tibia of the patient.  the transmitted mechanical load from the prosthesis to
                                                               the tibia cannot be too high and damage the tibia, which
               The mechanical properties of porous tantalum are   means that the prosthesis should promise the bone
            indispensable parameters for FEA-based numerical   mechanical safety. Some studies have  indicated that the
            simulation. Pore shape, pore size, and wire diameter are   yield strength of cortical bone tissue in healthy adults is
            the  main factors influencing the mechanical properties   close to 60 MPa; when the perceived stress exceeds 60 MPa
            of a 3D-printed  scaffold. In this work, the pore shape   (or strain exceeds ~3000 με), the bone tissue is liable to
            was set as dodecahedron, a pore shape similar to that in   be damaged . Therefore, when the perceived stress is less
                                                                        [20]
            cancellous bone [37,38] . Theoretically, the pore size and wire   than 60 MPa, the prosthesis is mechanically safe to the
            diameter can be set as any value. However, the limit of   bone. By comparing the simulated maximum von Mises
            printing precision generally determines the minimum   stress and displacement and the maximum strain data with
            wire diameter. Accordingly, in this work, the wire diameter   these three requirements, the biomechanical matching of
            from 300 to 600 μm and the pore size from 600 to 1500 μm   the prosthesis can be evaluated and the appropriate wire
            were selected (Table 1), and SLM was employed to print   diameter and pore size of prostheses can be determined.
            the standard porous tantalum samples (Figure 1a). The
            Young’s modulus and yield strength (Table 1) were collected     (i)  First, according to the requirement for prosthesis
            to provide mechanical parameters for FEA numerical      mechanical safety, the prosthesis with a wire
            simulation and biomechanical evaluation.                diameter of 300 and a pore sized of 1200 (from
                                                                    samples 300/1200) should be excluded since its yield
               To realize the patient-specific design of prosthesis,   strength is lower than the maximum von Mises
            the 3D models of both the prosthesis and the tibia were   stress at single-leg standing posture and may lead to
            constructed  from  the CT  imaging data of  the  patient   destruction of the prosthesis after the prosthesis is
            (Figure 2a), and the shape of the prosthesis was designed   implanted (Figure 7).
            to match well with the bone defect (Figure 2b and 2c). It
            is known that the bone tissue is a stress-sensitive tissue    (ii)  Although all the maximum von Mises stresses of the
            and the perceived stress by bone tissue directly affects   tibia were obviously lower than 60 MPa at a two-leg
            the  growth of bone tissue [39-43] . Accordingly, in addition   standing posture, those prostheses from 450/1200
            to the geometrical matching, the biomechanical matching   and 450/1500 demonstrated a maximum von Mises
            of the prosthesis was proposed as well in this work.    stress of >60 MPa at a single-leg standing posture.
                                                                    This means that, when these two prostheses are
               Imaginably, after the prosthesis is implanted into the   implanted, the tibia at a single-leg standing posture
            bone defect site, the mechanical loading, originating   may be broken. Therefore, the prostheses from
            from the patient’s weight and motion, is applied to the   450/1200 and 450/1500 cannot be used.
            prosthesis and then transferred to the tibia. Therefore, the
            magnitude of the perceived stress by the tibia is closely    (iii)  Regarding the rest prostheses from 450/900,
            related to the mechanical properties of the prosthesis.   600/1200, 600/1500, and 600/900, the tibia strains
            Ideally, at least three basic requirements for the mechanical   produced by the transferred mechanical load from
            properties of the prosthesis should be satisfied. First, the   body weight and motion were all within 400–3000 με
            compressive strength should be high enough to withstand   both at a single-leg standing posture and at a two-leg
            the mechanical load. That is, the prosthesis should have   standing posture, satisfying the second requirement
            mechanical safety. This can be satisfied should the yield   for bone biomechanical effectiveness.
            strength of the prosthesis be higher than the exerted   In brief, the mechanical tests and numerical simulation
            compressive stress. Second, the Young’s modulus of the   indicate that the prostheses from 450/900, 600/1200,
            prosthesis should be appropriate to allow the transmission   600/1500, and 600/900 satisfy all the three requirements
            of  sufficient  mechanical  load  to the  tibia  and induce   mentioned above and thus are suitable implants for the
            enough strain to stimulate tibia growth, by which stress   knee joint revision injury of the patient. The prosthesis
            shielding is avoided. This can be defined as biomechanical   from 600/900 was finally selected for clinical implantation


            Volume 9 Issue 4 (2023)                        298                         https://doi.org/10.18063/ijb.735
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